Literature DB >> 33180779

Photovoltaic modules evaluation and dry-season energy yield prediction model for NEM in Malaysia.

Syed Zahurul Islam1, Mohammad Lutfi Othman2, Muhammad Saufi1, Rosli Omar1, Arash Toudeshki3, Syed Zahidul Islam4.   

Abstract

This study analyzes the performance of two PV modules, amorphous silicon (a-Si) and crystalline silicon (c-Si) and predicts energy yield, which can be seen as facilitation to achieve the target of 35% reduction of greenhouse gases emission by 2030. Malaysia Energy Commission recommends crystalline PV modules for net energy metering (NEM), but the climate regime is a concern for output power and efficiency. Based on rainfall and irradiance data, this study aims to categorize the climate of peninsular Malaysia into rainy and dry seasons; and then the performance of the two modules are evaluated under the dry season. A new mathematical model is developed to predict energy yield and the results are validated through experimental and systematic error analysis. The parameters are collected using a self-developed ZigBeePRO-based wireless system with the rate of 3 samples/min over a period of five days. The results unveil that efficiency is inversely proportional to the irradiance due to negative temperature coefficient for crystalline modules. For this phenomenon, efficiency of c-Si (9.8%) is found always higher than a-Si (3.5%). However, a-Si shows better shadow tolerance compared to c-Si, observed from a lesser decrease rate in efficiency of the former with the increase in irradiance. Due to better spectrum response and temperature coefficient, a-Si shows greater performance on output power efficiency (OPE), performance ratio (PR), and yield factor. From the regression analysis, it is found that the coefficient of determination (R2) is between 0.7179 and 0.9611. The energy from the proposed model indicates that a-Si yields 15.07% higher kWh than c-Si when luminance for recorded days is 70% medium and 30% high. This study is important to determine the highest percentage of energy yield and to get faster NEM payback period, where as of now, there is no such model to indicate seasonal energy yield in Malaysia.

Entities:  

Year:  2020        PMID: 33180779      PMCID: PMC7660538          DOI: 10.1371/journal.pone.0241927

Source DB:  PubMed          Journal:  PLoS One        ISSN: 1932-6203            Impact factor:   3.240


Introduction

To lessen the effect on human life and emancipate environment from crippling by exhaling carbon and other greenhouse gases, solar energy is one of the major alternative energy harvesting systems for generating electricity [1, 2]. Malaysia is one of the tropical countries comprising of two regions; Peninsular West and East Malaysia with tremendous solar potential (22–24 and 14–24 MJ/m2/day respectively for generating electricity [3]. This could meet its projected electricity peak-demand of 23.099 GW in 2019 which is reflecting 39.47% higher than the peak-demand in 2013 [4]. However, there are short and long term climate challenges in Peninsular West Malaysia that pose threat to electricity generation from solar [5]. Short term effects are intermittent cloud and supply disruption where long term effects are high ambient temperature, humidity, and Southeast Asian haze pollution, and extreme rainfall [6, 7]. In the 10 Malaysia plan, crystalline type PV modules were widely used due to their attractive efficiencies and it is promoted intensively in the 11 plan (2016–2020) through NEM implementation [8]. The efficiencies of the PV modules are specified by the manufacturer in standard test condition (STC) defined as incident irradiance, 25°C module temperature, and 1.5 air mass. However, PV module efficiency in STC is not applicable for Malaysia climate condition since 33°C ambient temperature can significantly affect the open circuit voltage by of the PV [9, 10]. This can reduce 0.15% of FF and 0.4 ∼ 0.5% of maximum output power, for every 1 °C increase in module temperature [11]. The performance of different PV modules varies from STC measurement and it depends on geographical position and climatic condition. Based on Malaysia’s real climate variation, there should be an analysis on performance of Malaysian Energy Commission recommended PV modules and its energy yield modeling for the net energy metering (NEM, previously called FiT). Seasonal based performance and energy yield model of the recommended PV modules due to climate regime in Malaysia are still intangible. In this study, we have evaluated the electrical performance of the two PV modules, namely c-Si and a-Si for the case of peninsular Malaysia during the dry season. The performance parameters are module efficiency, output power efficiency (OPE), performance ratio (PR), fill factor (FF), energy yield, and yield factor. From the evaluation, we have developed a model which predicts the dry season’s energy yield of the modules. The outcome of the research can be seen as a support of the 11th Malaysia Plan (2016-20) development – accelerate renewable energy capacity in NEM as well as achieve target of 35% reduction of greenhouse gas emissions by 2030. The novelty of this study is that we have conducted regression analysis on a range of environmental and electrical parameters to investigate their degree of relationship under the dry season, while predicting the two modules’ energy-yield as a part of payback investment in NEM. To rev-up 20% green energy by 2025, Malaysia Energy Commission has taken many initiatives and policies through establishing large scale solar generations [12]. Some of them are, namely 197 MW Quantum solar park and 65 MW Jasin solar plant. However, Malaysia is blessed with 62.3% of tropical forests containing rich flora of animal species [13]. The alteration of it by large solar plants would lead to the disturbance of the natural ecosystem. This would alter forests topology, crop yields, water supplies which might eventually lead to famine. Many plants and animal species would be threatened, and some would likely become extinct, for instance, Sumatran rhinoceros is one of the extreme rare species in Malaysia. Therefore, it would be irrational to alter the forest topology by the large solar generations. For this mutual exclusive challenge in Malaysia perspective, one of the best alternatives could be the roof–top photovoltaic (PV) system that is also supported by the Malaysian government. The NEM has been rolled–out in Malaysia since December 2011 which obliges the distribution licensee in Peninsular West Malaysia, Tenaga Nasional Berhad to purchase from the approved applicants, the electricity produced from indigenous renewable resources at a fixed price and duration. Due to the encouragement of the Malaysian Government on NEM, recent trend shows increased number of total NEM generation, from 31.6 to 362.2 MW between 2012 and 2017 [2, 12]. Considering the outdoor real weather condition, many researchers have conducted experiment to scrutinize the actual performance of different types of PV modules. The outcomes of the PV modules at different regions including Malaysia have been published in the literature, as shown in the synopsis in Table 1. In view of all that has been mentioned in the peer-reviewed literature, there is no study on seasonal categorization from meteorological data analysis and energy yield model for the NEM payback in Malaysia. Previous studies in Malaysia are limited to performance analysis with seasonal categorization, regression analysis, energy modeling, and validation. Most of the researches conducted in Malaysia consider the climate as ‘tropical’ without any categorization. The data collected on specific days depict the performance of the PV based on that particular weather. Due to that, two researchers found different result in terms of module efficiency, such as c-Si and poly crystalline are found to be highest module by [15] and [16] respectively. A multiple regression model was predicted for output power by [7], however the key environmental parameter was the dust thickness on the PV surface due to the Southeast Asian haze in 2013. Some researchers have analyzed the performance of the modules for tracking system, finding optimum tilt angle, and cell design under desert climate [26], but these are not directly related to our NEM study. Researchers from other countries, such as Pakistan [19, 21], Colombia [22], Australia [14], Southeast UK [18], Doha [17] etc. also conducted similar analysis of the different modules. In these studies, performance is also measured for their distinct environmental parameters, inter row spacing, and dust on the surface of the module.
Table 1

Summary of major past studies on PV performance evaluation conducted in Malaysia and other countries.

YearRef.Location, Climate & SetupSignificant OutcomesRemarks/Different from this study
2004[14]Perth, Australia, all, 13-19 months, c-Si(75), LGBC c-Si (85), SX-75 p-Si(75), PW750/70 p-Si(70), 3j a-Si (64), and CIS (40)

a-Si produces 15% (summer) and 8% (winter) more energy compared with c-Si.

CIS module is higher energy producer (between 9-13%) than c-Si due to its higher temperature coefficient.

Performance analysis of 6 types of modules

Average ambient temperature is 16.5-28°C, much lower than Malaysia

No modeling or regression analysis

2009[15]Bangi, Malaysia, hot-sunny, 3 days (moderate, cloudy, sunny), a-Si (64), c-Si(75), mc-Si(65), CIS(40)

c-Si and multicrystalline (ms-Si) performance are found to be better than CIS and a-Si

CIS and a-Si relatively show better performance than c-Si and mc-Si when cloudy climate

c-Si is found to be highest efficient module

3 days’ average efficiencies of a-Si, mc-Si, CIS, and c-Si are 2.23, 5.14, 3.99, and 6.87% respectively

Mainly performance analysis of 4 types of modules

No info on experimental month and sun-hour

No regression analysis or modeling on energy yield

2012[16]Pinang island, Malaysia, dry, 4 days, mono and poly crystalline(NA), a-Si(NA), single axis solar tracker

Poly crystalline is found to be high efficient module (7.97%)

a-Si attains high output power

Tracker is not applicable for NEM

Performance analysis is not detail

No module specification

No modeling or significant analysis

2013[17]Doha, Qatar, desert, NA, c-Si(120), a-Si (100)

a-Si is more sensitive to temperature and humidity but more robust against tiny dust particles than c-Si

Limited environmental parameters

Performance analysis is based on dust, temperature, and humidity

2014[18]Brighton, Southeast UK, all, 1 year, mono crystalline (10kW roof-top)

Small fine particles can cause 11% less light transmittance to the fixed flat type module

Transmittance is linear with tilt angle

Performance analysis is based on dust and tilt angle.

Different climate than Malaysia

2014[19]Taxila, Pakistan, winter, 45 days, c-Si (45), p-Si (40), and a-Si (40)

c-Si is the highest efficienct module (13.01)% among all

a-Si possesses the highest average PR

Only performance is evaluated

No regression analysis or modeling

2015[7]Serdang, Malaysia, hazy, 30 days, mono-crystalline (1kW)

Degradation is about 41.84% in output power and 10% in efficiency during the Southeast Asian haze pollution, 2013

Performance is measured based on dust and haze

Regression analysis are for predicting output power only

Models are not validated

2016[20]Pekan, Malaysia, NA, 31 days, multicrystalline (5kW grid connected)

Propose PV model based on three electrical parameters, namely photo-current, reverse diode saturation current, and ideality factor of diode

Model is validated through experimental data and compared with other studies

Only one type of PV is considered

No seasonal categorization

Consider 1 month data as a reference for whole year

Only 3 environmental parameters are take into account, such as ambient and module temperature, and solar irradiance

No further analysis on PR, OPE energy yield, and yield factor

No model on output power or energy yield

2019[21]Bahawalpur, Pakistan, desert, 1 year, poly crystalline (two similar 100MW plant adjacent to each other)

Average annual difference is 4%

Approve and proper design may increase energy of US$ 0.85 million per year

Concern is to find factors for annual degradation rate

The factors are inter row spacing, tilt angle, negative temperature coefficient of power

Evaluation is based on the factors

No analysis for environmental parameters

2019[22]Medellin, Colombia, ambient temperature 18–42°C and irradiance 0–1200 Wm2 500 h, Perovskite and silicon module (NA)

Linear relationship is to be found between power and short circuit current

Open circuit voltage of perovskite is nonlinear and shows better performance with temperature at high irradiance

Different module type and region

No modeling

PV capacity is not defined

2019[23]Ipoh, Malaysia, NA, dye-sensitised, simulation using ‘SimaPro’

Efficiency and irradiance are inversely proportional

Cumulative energy demand is 18.75GJkWh

Greenhouse gas emission rate is 70.52gCO2eqkWh.

Only 3 environmental indicators are analyzed

There are cumulative energy demand, energy payback time, greenhouse gas emission rate

2019[24]Ulster University, Northern Ireland, 20-100 h, 600-800 Wm2, hybrid PV thermal, indoor simulation

Overall heat retention efficiency of hybrid PV solar thermal is 65%

Only indoor experiment

Mainly thermal performance is analysed

Actual environmental parameters are not considered

2019[25]Seoul, South Korea, cold, 730 days, c-Si (260)

Humidity is found significant in prediction model at low irradiance, low ambient temperature, and high humid

6 prediction models on output power

Only root mean square and mean absolute percentage error are calculated

Mainly cold climate, annual average temperature is 10–15°C, different than climate of Malaysia

Sources are from 2004-2019.

a-Si produces 15% (summer) and 8% (winter) more energy compared with c-Si. CIS module is higher energy producer (between 9-13%) than c-Si due to its higher temperature coefficient. Performance analysis of 6 types of modules Average ambient temperature is 16.5-28°C, much lower than Malaysia No modeling or regression analysis c-Si and multicrystalline (ms-Si) performance are found to be better than CIS and a-Si CIS and a-Si relatively show better performance than c-Si and mc-Si when cloudy climate c-Si is found to be highest efficient module 3 days’ average efficiencies of a-Si, mc-Si, CIS, and c-Si are 2.23, 5.14, 3.99, and 6.87% respectively Mainly performance analysis of 4 types of modules No info on experimental month and sun-hour No regression analysis or modeling on energy yield Poly crystalline is found to be high efficient module (7.97%) a-Si attains high output power Tracker is not applicable for NEM Performance analysis is not detail No module specification No modeling or significant analysis a-Si is more sensitive to temperature and humidity but more robust against tiny dust particles than c-Si Limited environmental parameters Performance analysis is based on dust, temperature, and humidity Small fine particles can cause 11% less light transmittance to the fixed flat type module Transmittance is linear with tilt angle Performance analysis is based on dust and tilt angle. Different climate than Malaysia c-Si is the highest efficienct module (13.01)% among all a-Si possesses the highest average PR Only performance is evaluated No regression analysis or modeling Degradation is about 41.84% in output power and 10% in efficiency during the Southeast Asian haze pollution, 2013 Performance is measured based on dust and haze Regression analysis are for predicting output power only Models are not validated Propose PV model based on three electrical parameters, namely photo-current, reverse diode saturation current, and ideality factor of diode Model is validated through experimental data and compared with other studies Only one type of PV is considered No seasonal categorization Consider 1 month data as a reference for whole year Only 3 environmental parameters are take into account, such as ambient and module temperature, and solar irradiance No further analysis on PR, OPE energy yield, and yield factor No model on output power or energy yield Average annual difference is 4% Approve and proper design may increase energy of US$ 0.85 million per year Concern is to find factors for annual degradation rate The factors are inter row spacing, tilt angle, negative temperature coefficient of power Evaluation is based on the factors No analysis for environmental parameters Linear relationship is to be found between power and short circuit current Open circuit voltage of perovskite is nonlinear and shows better performance with temperature at high irradiance Different module type and region No modeling PV capacity is not defined Efficiency and irradiance are inversely proportional Cumulative energy demand is Greenhouse gas emission rate is . Only 3 environmental indicators are analyzed There are cumulative energy demand, energy payback time, greenhouse gas emission rate Overall heat retention efficiency of hybrid PV solar thermal is 65% Only indoor experiment Mainly thermal performance is analysed Actual environmental parameters are not considered Humidity is found significant in prediction model at low irradiance, low ambient temperature, and high humid 6 prediction models on output power Only root mean square and mean absolute percentage error are calculated Mainly cold climate, annual average temperature is 10–15°C, different than climate of Malaysia Sources are from 2004-2019. As part of both the environmental and electrical data collection, most of the researchers have considered data logging methods, such as environmental sensors or pyranometer integration to computer via wired connection and digital multimeter or solar simulator [15, 16, 18, 19, 27]. However, few effective methods, such as real–time digital simulator-based novel system [28], high–speed four–channel digital oscilloscope [29], Façade technology [24] and automated measurement system [30] were considered by some researchers for performance test and analysing the PV. In our study, electrical and environmental parameters are recorded using solar analyser and self-developed ZigBeePRO-based smart wireless communication system respectively. Prior to implement our system, a mathematical model is developed to ensure all the environmental data to be accommodated in to a 2GB memory for at least one experimental day. The latest ZigBeePRO with Waspmote microcontroller and smart metering board used in this study is convenient for sensor integration, longer coverage support, low power consumption, large number of child node integration, and better data encryption over Wi-Fi [2]. ZigBeePRO is recommended in this research as a wireless sensor network because it offers additional features over the other wireless transmission protocols as well as ZigBee. Commercially available ZigBeePRO range can go up to 7km, line of sight ([31]), much higher than other wireless transmission protocols, such as WiFi (100m or more), Bluetooth (1-100m), and ZigBee (10-100m). It is also superior to other networks in terms of guaranteed data transmission capability and automatic detection of the addition or absence of nodes, without any manual intervention. In addition, ZigBeePRO protocol supports more than 65000 nodes with extended battery life compared to either WiFi (>1000 nodes) or Bluetooth (7 nodes). An extensive discussion on the most influential feature of ZigBeePRO for distributed solar energy monitoring as applied to the field of smart grid can be found in these authors’ works [2, 32, 33]. The contribution of this research can be summarized in three folds: Analysis of 63 years meteorological rainfall data in peninsular Malaysia where the dry season is chosen for conducting the performance analysis of the PV modules (cSi and a–Si). The effectiveness of environmental data collection is ensured by a self-developed ZigBeePRObased smart wireless communication system in an aim of obtaining the data at higher frequency of 3 samples/minute. The prediction of the PV modules’ performance in terms of energy yield in kWh, that is, the deviation from the STC stated by the modules’ manufacturers, is modelled in a manner analogous to the NEM system for the dry climate condition. The performance of PV modules is modeled by regression relationship between the environmental and electrical parameters with stochastic analysis. The relationship is evaluated by determining significant statistical indicators, namely, coefficient of correlation (r), coefficient of determination (R2), mean bias error (MBE), root mean square error (RMSE), mean absolute percentage error (MAPE), and symmetric mean absolute percentage error (SMAPE). The organization of this paper is as follows. Section 1 presents the analysis of meteorological data for categorizing peninsular west Malaysia climate. It also highlights vernal and solstice factors for positioning solar module. Then in section 2, hardware setup for electrical parameters using the ZigBeePRO-based smart wireless communication system is explained. Section 3 shows the a–Si and cSi modules’ performance evaluation in three different perspectives. Then regression and statistical analysis on the modules’ performance and its validation have been included in this section. This section also explains the estimation model for energy yield in NEM with validation. Finally, section 4 concludes the overall outcome of this research.

1 Overview of Peninsular Malaysia climate

In Peninsular Malaysia, the average day–time ambient temperature is 33°C, humidity of 80–90% other than dry season, average cloud-covered factor of 6.5 [1], and average 135.285–366.985 mm rainfall [34]. According to the Malaysian Meteorological department data between 1951 and 2018, three main types of seasonal variation are observed in peninsular west Malaysia: maximum rainfall, secondary maximum rainfall, and the dry season (shown in Fig 1) [35, 36]. In this peninsular, maximum rainfall occurs in the months of October, November, December, and January; however, southwest region of the peninsular has recorded extreme rainfall during October and November (e.g., the heaviest rainfall 9–11 December 2004, [34, 37, 38]). The secondary maximum rainfall is recorded in April and May. The trend of rainfall since 1951 in the southwest peninsular is linearly increasing by year, rainfall (mm) = 7.0458 × year + 2036.1 [35]. According to the standardized precipitation index or SPI, the prolonged dry months are June and July where the least rainfall is observed, for example, total rainfall received in June 2015 is less than 100 mm. Another category is indefinite rainfall within 200–300 mm in the months of March, August, and September. The highest solar radiation is achieved within the period of February–March [35]. Furthermore, peninsular Malaysia sky is mostly cloudy, 80% of days in a year, thus plummets substantial solar irradiance [1]. However, the sky is generally clearer in the mornings and cloudy in the afternoons. During the rainy seasons, rainfalls are experienced between 14:45 and 18:00, averagely. This means, the harvested solar irradiance during afternoon time should be significantly less than the irradiance during morning time, with the same angular position of the sun. On the other hand, no or fewer rainfall days are generally observed during the dry season.
Fig 1

Seasonal variation of rainfall in Peninsular Malaysia.

Based on observations from the meteorological data, each seasonal category is consisting of similar indices, such as solar irradiance, rain/no–rain, cloud factor, and humid level. Our observation is also supported by all the previous researchers where they state the climate of Malaysia as predictable weather, hot and humid all year round, and no large variation in temperature [12, 15]. A research from the analysis of 10 years meteorological data shows that average solar irradiance of June and July is approximately same. It also describes very mere difference in ambient temperature in June (28°C) and July (27.7°C) [39]. Similarly, another research describes Malaysia as ‘mere distinctive season country and its climate is hot and humid’ [40]. Due to the similar indices, we considered 5 days’ of dry climate data to estimate seasonal–based energy yield for peninsular Malaysia. One of the key points of harvesting maximum solar irradiance is when the panels are perpendicular to the sun rays. For the best performance, solar tracker can enhance the PV efficiency by a factor of 40–48% [41]. However, installation of solar tracker in NEM system is neither cost effective nor feasible for small scale capacity. Another key point is the position of the sun that varies throughout the year. It makes an angle of up to 23.5° with respect to the equator towards the north in one half of the year, whereas this angle is tilted towards the south in the other half (described in Fig 2) [42]. Therefore, for one sided PV panel installation on the roof top under NEM system, it is not possible for the panels to achieve the maximum output in a year. To overcome this problem, both northern and southern sided-panel can be installed on the roof top in order to harvest maximum solar irradiance.
Fig 2

Vernal/March equinox occurs when the sun directly shines the celestial equator.

This also happens in autumnal/September equinox. On both equinox days, tilt angle is 0°. Other days of the year, the earth axis is tilted at an angle of approximately 23.5° with respect to the eclipse on both solstice days. Reprinted from [43] under a CC BY license, with permission from UPM, original copyright 2016.

Vernal/March equinox occurs when the sun directly shines the celestial equator.

This also happens in autumnal/September equinox. On both equinox days, tilt angle is 0°. Other days of the year, the earth axis is tilted at an angle of approximately 23.5° with respect to the eclipse on both solstice days. Reprinted from [43] under a CC BY license, with permission from UPM, original copyright 2016.

2 Hardware setup for electrical parameter acquisition

Efficiency, OPE, PR, FF, and yield factor are essential key indices to evaluate the performance of a PV module. These key indices can be obtained from the model equations where the variables are electrical and environmental parameters. The electrical parameters (V, V, I, I) are measured using solar analyser (Prova 200) and environmental parameters (solar irradiance, module and ambient temperature, humidity, and wind speed) are acquired by self–developed ZigBeePRObased smart wireless communication system. The required model equations are explained as follows. The module efficiency (η) can be obtained using Eq (1) [15]. The other parameter indices, such as OPE and PR are obtained by Eqs (2) and (3) respectively. FF can be determined by considering maximum power, short circuit current, and open circuit voltage of a PV module, shown in Eq (4). Yield factor can be determined by Eq 5. where P is the measured actual power (W); P is the maximum power in STC (W); I is the measured actual current (A); I is the maximum current (A); V is the measured actual voltage (V); V is the maximum voltage (V); V is the open circuit voltage (V); I is the short circuit current (A); ZSTC is the solar irradiance in STC (); Z is the measured actual solar irradiance (); and A is the area of the module (m2). We have considered two popular commercially available PV modules (cSi and a–Si) where the specification in STC is given in Table 2. The cost of PV modules is region–specific and varies greatly depending on the market; however, it has been declined gradually in recent years. For the world market, the up–to–date PV module price is US$0.736/Wp [44]. In this study, the cost of the PV modules is US$3.5/W (cSi) and US$1.75/W (a–Si) according to the supplier price quotation.
Table 2

Specification of c–Si and a–Si PV modules.

TypeSize (mm)Vmax(V)Imax(A)Voc(V)Isc(A)Pmax(W)η(%)ManufacturerCost(US$)
c–Si493 × 31517.41.1421.71.222012.9Libelium(MSOLAR)3.5/W
a–Si292 × 142170.10210.131.74.0Solar voltaic1.75/W
During the dry months (Jun–Jul), no rain was observed at Klang valley region, southwest peninsular Malaysia where experimental data was collected. The days considered for the experiment were 12, 15, 16, 19, and 20 of July corresponding to day1 to day5, respectively. Both modules were installed on fixed roof closed–rack at tilt angle of 15° (In Malaysia, 15° optimum tilt angle is found by [45]) without considering any sun tracker. Fig 3 shows the outdoor experimental setup located at UPM solar farm, coordinate 2.945° North and 101.75° East.
Fig 3

Outdoor electrical and environmental data collection setup for a–Si and c–Si module.

Location is at UPM solar farm, coordinate 22.945° North and 101.75° East. 15-18° tilt angle is maintained to install the modules on a closed–rack type roof-top facing the north. This direction makes the modules cooler by the blowing wind, from east to west. Transparent box contains ZigBeePRO distribution node consisted of environmental parameter measurement sensors, embedded board, and communication radio. Thermocouples measure the ambient and the modules’ temperature. Humidity and luminosity sensors measure the humidity and the solar irradiance respectively. Anemometer is installed separately for measuring wind speed. Reprinted from [43] under a CC BY license, with permission from UPM, original copyright 2016.

Outdoor electrical and environmental data collection setup for a–Si and c–Si module.

Location is at UPM solar farm, coordinate 22.945° North and 101.75° East. 15-18° tilt angle is maintained to install the modules on a closed–rack type roof-top facing the north. This direction makes the modules cooler by the blowing wind, from east to west. Transparent box contains ZigBeePRO distribution node consisted of environmental parameter measurement sensors, embedded board, and communication radio. Thermocouples measure the ambient and the modules’ temperature. Humidity and luminosity sensors measure the humidity and the solar irradiance respectively. Anemometer is installed separately for measuring wind speed. Reprinted from [43] under a CC BY license, with permission from UPM, original copyright 2016. The ZigBeePRO-based smart wireless communication system is illustrated in Fig 4. The technique has been adopted from the previous works of these authors [2, 32, 46]. Here in brief, temperature, humidity, and luminosity sensors were interfaced with smart metering and microcontroller board (combining embedded board) with ZigBeePRO communication radio. The temperature sensor MCP9700A is connected to pin6 of the smart metering board for reading analog temperature of the PV module. The other three parameters, such as ambient temperature, humidity, and solar irradiance are measured using identical temperature sensor (MCP9700A), humidity sensor (808H5V5), and luminosity sensor (TSL2561). The sensors specifications are shown in Table 3, Appendix. For simplicity, an approximate conversion of per Lux is considered. All the sensors are accommodated within the smart metering board which is interfaced with Waspmote microcontroller board. All the sensors are manufacturer-calibrated. Additionally, a 2 GB micro SD card for data recording and a ZigBeePRO radio are interfaced to the embedded board for transferring data to the control centre through the ZigBeePRO gateway.
Fig 4

Integration of sensors, embedded board, and communication module.

Sensors: thermocouples, luminosity or LDR, and humidity. Embedded board: refers to the microcontroller and smart metering board. ZigBeePRO: communication module. Micro SD: attached to embedded board for storing sensors data. Solar Analyzer: retrieved four electrical data, such as open circuit voltage, short circuit current, max voltage and max current of PV module. ZigBeePRO gateway: installed at the control centre for data acquision. LabVIEW program: monitoring SD card data from the control centre. Reprinted from [43] under a CC BY license, with permission from UPM, original copyright 2016.

Table 3

Sensors specification.

Humidity SensorTemperature SensorLuminosity Sensor
Sensor Model808H5V5MCP9700ATSL2561
Measuring Range0 to 100%RH-40 to +150°C 0.1 to 40,000 Lux(1 Lux = 0.0079 Wm2)
Accuracy≤±4%RH @ 25°C, 30 to 80%RH when the power suply is 5 VDC±2°C Accuracy from 0°C to +70°C, and -2°C to +6°C Accuracy from -40°C to +150°CNot found
Supply Voltage5 V DC ±5%+2.3 to +5.5 V2.7 to 3.6 V
Current0.8 mA (typical) <1.2 mA (maximum)6 to 15 μA15 to 500 μA
Operating environment-40 tp +85°C -65 to +150°C -30 to 80°C
Responding time<15 s<1ms<13ms
stability<1%RH per yearNot foundNot found

Integration of sensors, embedded board, and communication module.

Sensors: thermocouples, luminosity or LDR, and humidity. Embedded board: refers to the microcontroller and smart metering board. ZigBeePRO: communication module. Micro SD: attached to embedded board for storing sensors data. Solar Analyzer: retrieved four electrical data, such as open circuit voltage, short circuit current, max voltage and max current of PV module. ZigBeePRO gateway: installed at the control centre for data acquision. LabVIEW program: monitoring SD card data from the control centre. Reprinted from [43] under a CC BY license, with permission from UPM, original copyright 2016. The data collection was conducted through remote data monitoring system saving environmental parameters to the SD card and simultaneously sending the data to the control centre using ZigBeePRO communication in every 20 second. The 20 seconds interval ensures that all the data is accommodated for at least one experimental day into the 2 GB SD card by the mathematical relationship in Eq (6). Here, N is the total number of packet during 9 hours experimental time of a day (without any delay). Based on the ZigBeePRO specification [31], the parameters of Eq (6) can be set: packet size = 1280 bits with header and checksum S = 1.83 GB = 1.83 × 109 Bytes = 10.83 × 8 × 109 bits where S is the actual SD card size. data rate = 15 kbps = 15000 bit/s (manufacturer provided which is practically achievable). This yield (N × packetsize) < S when no delay is considered. Therefore, 20 seconds interval is sufficient for accommodating all the data into the 2 GB SD card. Also, the received data (i.e., SD card saved data) is monitored from the control centre through a LabVIEW system. This ensures more reliability and capability for detecting any power failure or other unusual faults of the remote ZigBeePRObased node. For instance, battery charging status and remaining SD card size are sent with the packet to the control centre. After completion of the data collection, Python program is used for further analysis.

3 Result analysis

Stochastic analysis is employed for analysing the result considering 15min averaged-data of both environmental and electrical parameters between 8:30–17:30, which are then evaluated for obtaining linear models. The accuracy and pertinence of the models are determined considering few common but significant statistical indicators, such as r, R2, MBE, RMSE, MAPE, and SMAPE. The dimensionless r–value has determined the strength of linear relation between environmental and electrical parameters or two environmental parameters in the range of ±1. Another statistical term, R2 has defined the predictive power of the model in connection with the independent parameter. The error terms compute the dispersion of the model’s validation results. It is observed that MAPE may cause distortion to the error rate due to the presence of zero or nearly zero data. In such condition, SMAPE performs better measurement than MAPE. The computational formulas of these statistical indicators are shown in Eqs (14)–(16) and (19), Appendix.

3.1 Solar irradiance and temperature

Based on individual day data analysis, the lowest irradiance was attained on day1; however, last four hours of the afternoon session of day3 gained less than (the least gain among the five days). Therefore, day1 and day3 can be considered as medium luminance days. Then, average maximum solar irradiance was noticed on day2 (), day4 (), and day5 (); so, these three days can be considered as high luminance days. Hourly average (mean) and median solar irradiance data of the five individual days are statistically extracted, analysed and plotted as box–plot in Fig 5. Statistical analysis of the five days has shown that variation of solar irradiance at 8:30 and 17:30 is small. However, the variation is high within this period. The highest variation occurred at 13:30 which is ideally expected to harvest the maximum solar irradiance; however, it did not happen due to the cloudy nature of the days. Hence, considering the statistical hourly median and mean values, the approximate hourly variations of irradiation within the days are shown in the subsequent sections.
Fig 5

Statistical analysis of individual day solar irradiance with hourly average.

Red line marker denotes median values at each hour and black (×) marker refers mean value.

Statistical analysis of individual day solar irradiance with hourly average.

Red line marker denotes median values at each hour and black (×) marker refers mean value. Fig 6 shows five days relative humidity with solar irradiance from 8:30 to 17:30. It can be observed that solar irradiance is inversely proportional to relative humidity. From the recorded data, the calculated average peak sun–hour per day is 4.69 hours which corresponds to 16.88 MJ direct solar radiation harvested on average per day. Moreover, the optimum formula for humidity can be obtained in Eq (7). The equation is based on the regression analysis in Fig 6. Where, H is the average humidity, and Z is the measured solar irradiance. The slope, -0.04 indicates negative correlation between the solar irradiation and humidity. Further by extracting from Eq (7), the approximate mathematical model can also be obtained as in Eq (8).
Fig 6

Inverse proportional relation between relative humidity and solar irradiance.

The mathematical model is fitted to data point with R2 = 0.718. On day1, humidity is between 44.2 and 68.8% with corresponding irradiance of 150–830 . Day2 is drier than day1 based on humidity (33–67.8%) and irradiance (95–1100 ). Humidity and irradiance on day3 were 35.4–68.3% and 72–920 respectively. On day4 (the driest), humidity and irradiance ranges are 25.7–64% and 96–1050 . Finally, on day5, humidity is observed to be 35–53% when irradiance is 180-1010 .

Inverse proportional relation between relative humidity and solar irradiance.

The mathematical model is fitted to data point with R2 = 0.718. On day1, humidity is between 44.2 and 68.8% with corresponding irradiance of 150–830 . Day2 is drier than day1 based on humidity (33–67.8%) and irradiance (95–1100 ). Humidity and irradiance on day3 were 35.4–68.3% and 72–920 respectively. On day4 (the driest), humidity and irradiance ranges are 25.7–64% and 96–1050 . Finally, on day5, humidity is observed to be 35–53% when irradiance is 180-1010 . Eq (8) states that for every 1% increase in humidity, the solar irradiance drops by (the least gain among the five days). For silicon PV modules, the efficiency is logarithmically dependent on irradiance. Due to that the efficiency was observed almost constant between 200–1000 . Also, temperature efficiency coefficient is negative, thus efficiency of the both modules goes down with higher irradiance in this outdoor experiment. Fig 7(a)–7(d) shows the effects of module temperature (T) and solar irradiance (Z) on the efficiency (η) of the a–Si and cSi modules. It is observed between 11:30 to 13:30 of the day, module efficiency is inversely proportional to the solar irradiance. During this time, hourly average efficiency of cSi and a–Si are 9.8% and 3.5% respectively at 200–800 solar irradiance. cSi is renowned for higher efficiency and it showed the highest efficiency on both medium and high luminous days compared to the a–Si module.
Fig 7

Effect of module temperature (T) and solar irradiance (Z) on the efficiency (η) from 8:30 to 17:30 (a) a–Si and (b) c–Si modules on medium luminous day; and (c) a–Si and (d) c–Si modules on high luminous day.

Fig 8 shows five days’ average ambient and module temperature. The module temperature of cSi is about 2.26% higher than a–Si until 11:30 but slightly different (a–Si is 8.1% higher) in the afternoon. However, overall pattern of the module temperature are the same which also reported by [19]. On average, both modules’ temperature remained below 58°C (maximum temperature of a–Si and cSi is 62.9°C and 59.9°C respectively). Comparatively, lower module temperature trend was observed after 13:00 due to continuous average wind speed (maximum and minimum ) from east to west direction that cools modules’ heat. The five days’ ambient temperature was between 28.9–34.9°C.
Fig 8

Comparison between ambient (T) and the modules’ temperature (T).

Till 11:30, module temperature of c–Si is about 2.26% higher than a–Si. Opposite scenario is seen in the afternoon. The blowing wind maintains the modules’ temperature within 58°C, on average.

Comparison between ambient (T) and the modules’ temperature (T).

Till 11:30, module temperature of cSi is about 2.26% higher than a–Si. Opposite scenario is seen in the afternoon. The blowing wind maintains the modules’ temperature within 58°C, on average. The approximate trend lines of solar irradiance and OPE with corresponding module temperature are shown in Fig 9(a) and 9(b) respectively. Results show that there is a positive correlation among modules temperature, solar irradiance, and OPE. Also, the slope of cSi is more fitted than a–Si. However, OPE of a–Si is better than cSi when both modules’ temperature is between 30–43°C and solar irradiance is below ). In contrast, solar irradiance above and module temperature of 45–53°C, comparatively cSi performs better. Similar result was found by two researchers on a–Si performance below [19] and [16]. With this, Fig 10 illustrates the statistical analysis of the five days’ efficiencies of a–Si and cSi modules. A positive correlation is found between the two modules’ temperature and the efficiency. However, temperature dependence on the efficiency of a–Si (Fig 10(a)) is not as significant as of cSi (Fig 10(b)). Fig 10(c) shows that the efficiency of cSi is almost 50% higher than a–Si at below 48°C module temperature. The rate drops to 36.05% above 48°C.
Fig 9

Comparison between a–Si and c-Si modules’ temperature (T) based on, (a) solar irradiance (Z) and (b) output power efficiency (OPE).

T is positively correlated with solar irradiance and OPE. By extrapolating the both fitting lines is not valid as it will show modules stop working at 25°C.

Fig 10

Statistical analysis of the five days’ module temperature and efficiency.

(a) linear trends of a–Si efficiency (R2 = 0.906); (b) non–linear trends c–Si efficiency (R2 = 0.961, for linear); (c) data deviation for both a–Si and c–Si are along the regression curve.

Comparison between a–Si and c-Si modules’ temperature (T) based on, (a) solar irradiance (Z) and (b) output power efficiency (OPE).

T is positively correlated with solar irradiance and OPE. By extrapolating the both fitting lines is not valid as it will show modules stop working at 25°C.

Statistical analysis of the five days’ module temperature and efficiency.

(a) linear trends of a–Si efficiency (R2 = 0.906); (b) non–linear trends cSi efficiency (R2 = 0.961, for linear); (c) data deviation for both a–Si and cSi are along the regression curve.

3.2 Module efficiency

The comparison between the effiency of a–Si and c-Si (hourly average) on individual days and five–day average corresponding to daytime is shown in Fig 11. During the high luminance days (day4 and day5), similar trend of efficiency is observed for both modules. The least efficiency was recorded on day3 (medium luminance day); however, a-Si achieved higher efficiency (38.17%) than cSi (29.92%) as in the manufacturer-rated specification. In Malaysia climate condition, a–Si achieve better efficiency at low irradiance, supported by [15].
Fig 11

Comparison of individual days efficiency against daytime (a) a–Si and (b) c–Si.

Similar efficiencies are observed on day4 and day5. Hourly maximum efficiencies of a–Si and c–Si are 3.9% and 11.4% respectively.

Comparison of individual days efficiency against daytime (a) a–Si and (b) c–Si.

Similar efficiencies are observed on day4 and day5. Hourly maximum efficiencies of a–Si and cSi are 3.9% and 11.4% respectively. Based on the five–day average data, Fig 12 shows that the module efficiency is generally inversely proportional to the solar irradiance. This result is also supported by [19, 47]. The changing rate of solar irradiance shown in Fig 12 explains that the fluctuation of a–Si efficiency is lesser than cSi efficiency. This is because, a–Si has better shadow tolerance and is less affected by the direction of sunlight. To this extent, increase in solar irradiance may cause about 0.013% and 0.004% decrease in efficiencies of cSi and a–Si respectively.
Fig 12

(a) Five-day average efficiency with solar irradiance. Maximum, average, and minimum efficiencies are 3.5, 2.3, 0.57% (a–Si) and 9.8, 6.4, 1.4% (c–Si) respectively. (b) Changes in efficiency with daytime. Both modules follow similar changing rate of efficiency () against solar irradiance except at 11:30, 12:30, 14:00, and 16:15.

(a) Five-day average efficiency with solar irradiance. Maximum, average, and minimum efficiencies are 3.5, 2.3, 0.57% (a–Si) and 9.8, 6.4, 1.4% (cSi) respectively. (b) Changes in efficiency with daytime. Both modules follow similar changing rate of efficiency () against solar irradiance except at 11:30, 12:30, 14:00, and 16:15.

3.3 Output Power Efficiency (OPE) and Performance Ratio (PR)

Even though the relationship between OPE and solar irradiance with respect to R2 value is not strong, the R2 value is more significant than a–Si (Fig 13). This is because of the inconsistent distribution of data points for both modules on medium luminance days (day1 and day3). In contrast, PR of a–Si is better than that of cSi and both modules’ PR are inversely proportional to the solar irradiance (Fig 14). The PR is decreased by 14.68% (cSi) and 24.8% (a–Si) between 8:30–12:30 for 298% increase in solar irradiance. This trend is also supported by [19] where the PR was found to be decreased by 5.68% (cSi) and 22.6% (a–Si) for 175% increase in solar irradiance. The average PR for cSi and a–Si are 1.02 and 1.21 respectively indicating a–Si for better light absorbing capability during cloudy condition.
Fig 13

Five-day average OPE of c–Si and a–Si modules against solar irradiance.

Maximum values of OPE for c–Si and a–Si are 76.33% and 84.60% respectively.

Fig 14

Hourly average PR of c–Si and a–Si module against daytime and solar irradiance (Z).

The PR and solar irradiance are inversely proportional.

Five-day average OPE of c–Si and a–Si modules against solar irradiance.

Maximum values of OPE for cSi and a–Si are 76.33% and 84.60% respectively.

Hourly average PR of c–Si and a–Si module against daytime and solar irradiance (Z).

The PR and solar irradiance are inversely proportional.

3.4 Statistical analysis

Table 4 shows the regression analysis for the models obtained from the plotted figures. The analysis is also validated by calculating statistical and systematic error terms. The high value of r (0.8168–0.9803) implies that there is a significant relationship between the considered parameters and environmental factor. The accuracy of the models can be further demonstrated by the R2 value outstandingly in Fig 10 compared with the models from Figs 6 and 9(a-Si), which are moderate. Least value of MBE is desirable and it is achieved with acceptable estimation for all the models. Further analysis shows similar observations considering the other error terms, such as RMSE, MAPE, and SMAPE. Besides these indicators, the accuracy of the data can be considered satisfactory based on the calculated t–statistic (ts) which also validate the models’ estimation in this analysis. For the validation, critical t-statistic (tc) is determined from the standard statistical table considering (b − 1) degree of freedom at 5% significance level with two–tailed test. Here, b is the number of collected data points at every 15 minutes interval from 08:30 to 17:30; therefore, b = (total number of hours × 4 + 1) per day. This b is determined to be 37 for all the models. To ensure the models’ estimation with statistical significance, the notation has to be true. According to the standard statistical table, the Tc value can be obtained based on b = 37 which confirms the models’ validation.
Table 4

Regression analysis of models* (e.g. Y = τ × X + υ) with validation for UPM, Klang valley region (2.945° North 101.75° East) in Malaysia during dry season.

ModelsRegression coefficientStatistical termsSystematic error termsFig.
(Y vs. X)τυrR2tsMBERMSEMAPESMAPE
H vs. Z-0.043869.5884-0.84730.71790.56700.01050.11020.08540.0839Fig 6
Z vs. TMc-Si31.8209-876.50520.90310.81560.70330.02780.23880.16250.1505Fig 9(a)
a-Si23.3074-556.82130.87200.76041.07880.04550.25690.18310.1693
OPE vs. TMc-Si2.6285-65.55630.89770.80590.88440.02680.18360.13690.1302Fig 9(b)
a-Si1.9864-34.03100.81680.66721.21250.05130.25870.17420.1594
η vs. TMc-Si0.2511-4.83880.98030.96110.19590.00450.07330.06210.0615Fig 10
a-Si0.1005-2.14490.95180.90590.21270.00960.14320.11960.1170

* Each model is expressed as Y = τ × X + υ where the regression coefficients (τ, υ) and the statistical terms (r, R2) are obtained from the respective figures, data analysed by Python program. The systematic error terms and the ts are calculated from the equations shown in Eq (18), Appendix.

* Each model is expressed as Y = τ × X + υ where the regression coefficients (τ, υ) and the statistical terms (r, R2) are obtained from the respective figures, data analysed by Python program. The systematic error terms and the ts are calculated from the equations shown in Eq (18), Appendix. A thorough study from the validation results shows that a–Si or cSi module efficiency has strong relationship with the module temperature (Fig 10). On the other hand, OPE has strong relationship with the modules temperature (Fig 9). The relation between humidity and solar irradiance is not strong (Fig 6), which means that other factors, such as degree of cloud cover, ambient temperature, atmospheric dust, and water vapour density weaken the relationship. The validation results are evident for the similar climate characteristic during dry season in Malaysia. In Table 5, a set of PV measurement parameters are considered for comparing STC, experimental results and other researchers’ outcome. We have observed that the environmental parameter, such as average ambient temperature is similar to the research [15], which leads to approximately similar outcome in FF, module efficiency, PR, and yield factor; however, OPE is varied. The result is also closely matched with that of [19] in terms of FF, OPE, PR, and yield factor. Since both researches did not have peak sun-hour data, we obtained their yield factor by considering similar peak sun-hour of this study, 4.69 . The yield factors of this study for c-Si and a-Si are found to be 2.33 and 2.73 respectively, which are also within 2.6 ±0.15 , referred by [48]. In case of efficiency, the researcher, found higher outcome than this study due to variance in ambient temperature [19]. The average maximum powers for a–Si and cSi achieved in this study are 1.63 W and 17.45 W respectively and are found to be 4.12% (a–Si) and 12.75% (cSi) less than STC rated values. In comparison with the average module efficiency, cSi and a–Si attained 49.6% and 59.75% respectively of their STC rated-value. Moreover, a–Si shows better performance over cSi in the case of the other three parameters, OPE PR, and yield factor.
Table 5

Comparative analysis among STC, experimental data and other researchers’ outcomes based on environmental and electrical parameters of c–Si and a–Si module.

ParameterExperimental dataPrevious researchers’ outcomes
c–Sia–Si
Am = 0.1553 m2Am = 0.0415 m2
Environmental parameters:Data shows in order (c–Si, a–Si):
TA,avg (°C)3330.3; 18.1
Zavg (Wm2)512.37625.7; 593.72§
Havg (%)4773.4
Sh (hday)4.69
Wind speed (m/s)3.88 E→W5.5
TM,avg (°C)43.74640.22, 39.14; 28.5,27.2
Electrical Parameters:
Iavg (mA)632.9564.85
ISTC (mA)1140100
Vavg (V)15.715.22
VSTC (V)17.417
Pavg (W)9.940.99
Eavg (Whday)46.624.64
PSTC (W)201.7
FFavg0.510.510.712, 0.56
ηavg (%)6.42.396.87, 2.23; 13.1, 5.5; c–Si 9.53
ηSTC (%)12.944.4, 2.16§
OPEavg (%)49.758.2333.1, 33.74; 52, 55.5; 22.885, 14.71§
PRavg0.971.140.933, 1.046; 0.85, 1.03; 44.81, 28.8§
Yield factor (kWh/kWp/day)2.332.731.41, 1.58; 2.44, 2.60

† [15]

‡ [19]

§ [16]

¶ [18].

† [15] ‡ [19] § [16] ¶ [18].

3.5 Estimation of energy yield for NEM

Based on the experimental analysis on medium and high luminance days, the total energy yield in kWh during dry season can be estimated. For the estimation, a 1 kW capacity of cSi and a–Si PV modules are assumed for modeling purpose in accordance with Malaysia’s NEM application. The modeling equation for estimating the total energy yield, E in the unit of kWh, during dry season is derived as in Eq (9). where, and Here, α and β are probability of medium and high luminance days respectively. Therefore, α + β = 1 and 0 ≤ (α, β)≤1. In Eqs (10) and (11), P and P denote total output power in αD and βD days respectively. Sh and Sh are sun–hour, and D denotes the total number of days in dry season. To validate the estimated model, we have considered other models from [49] and [50] shown in Eqs (12) and (13) respectively. In Eqs (12) and (13), the value of temperature coefficient, ϵ1 is taken from cSi and a–Si module datasheet specified as 0.0045°C−1 and 0.0020°C−1 respectively. ϵ2 is also considered 0.0044°C−1 (cSi) and 0.0026°C−1 (a–Si) by [50]. The module area (A) for 1 kW capacity is calculated as 7.765 m2 for cSi and 24.41 m2 for a–Si. Finally, the energy yields are shown in Table 6. The data is normalized for comparison based on the experimental output power in kWh when the capacities of both modules are 1 kW and sizes are 7.765 m2 (cSi) and 24.41 m2 (a–Si).
Table 6

Energy yield in kWh estimation during dry season (Jun–Jul) for NEM application in Malaysia.

E (kWh), Eq (9)
Module typeZa,avg(Wm2)TM,avg(°C)P (Wday)Model [50]Model [49]Our model
[50], Eq (13)[49], Eq (12)Experimentalsh (h)E1E2E1E2E1E2
α = 0.7 and D = 61. So, 42 days are medium luminance
c–Si340.6441.85315.92313.92342.833.0740.7340.4844.21
a–Si340.6441.08318.03321.9412.443.074141.5153.18
β = 0.3 and D = 61. So, 19 days are high luminance
c–Si626.8644.96572.77571.52603.185.6461.3861.2464.64
a–Si626.8649.22573.52582.42672.365.6461.4662.4172.05
Total energy yield, E (kWh):
 From our estimation model, Eq (9): 108.85 (c–Si) and 125.24 (a–Si)
 From [49] Eq (12): 101.72 (c–Si) and 103.92 (a–Si)
 From [50] Eq (13): 102.11 (c–Si) and 102.46 (a–Si)

Z refers to the experimental average solar irradiance on either medium luminance (day1, day3) or high luminance (day2, day4, day5) days. Similarly, T and Sh show the module temperature and sun–hour on medium and high luminance days respectively. The output power, P (W/day) are calculated from Eqs (12) and (13) for 1 kW module, size 7.765 m2 (c–Si) and 24.41m2 (a–Si). In contrast, the experimental P (W/day) for 1 kW module is normalized from the actual data and average of medium and high luminance days’. The actual average output power of c–Si and a–Si are respectively 342.8289 W and 412.4377 W on medium luminance day; whereas 603.1826 and 672.4411 W on high luminance day. Total energy yield is calculated based on Eq (9) which shows higher energy output of a–Si (125.24 kWh) compared to c-Si (108.85 kWh). Similar trends are found for Eqs (12) and (13). This comparison analysis validates our estimation model.

Z refers to the experimental average solar irradiance on either medium luminance (day1, day3) or high luminance (day2, day4, day5) days. Similarly, T and Sh show the module temperature and sun–hour on medium and high luminance days respectively. The output power, P (W/day) are calculated from Eqs (12) and (13) for 1 kW module, size 7.765 m2 (cSi) and 24.41m2 (a–Si). In contrast, the experimental P (W/day) for 1 kW module is normalized from the actual data and average of medium and high luminance days’. The actual average output power of cSi and a–Si are respectively 342.8289 W and 412.4377 W on medium luminance day; whereas 603.1826 and 672.4411 W on high luminance day. Total energy yield is calculated based on Eq (9) which shows higher energy output of a–Si (125.24 kWh) compared to c-Si (108.85 kWh). Similar trends are found for Eqs (12) and (13). This comparison analysis validates our estimation model. Statistically, if 70% and 30% of days during dry season are considered as medium and high luminance day respectively, the total energy output of a–Si (125.23 kWh) is higher than that of cSi (108.85 kWh) based on our estimation model, Eq (9). Similar energy output can be noticed for the models Eqs (12) and (13). The percentage difference between our model (Eq (9)) and that of Eq (12) is 6.55% (cSi) and 17.01% (a–Si) respectively. On the other hand, the difference is 6.19% (cSi) and 18.18% (a–Si) considering model Eq (13). This insignificant difference validates our model, deemed appropriate for the NEM. Based on the real data and model analysis, it is observed that total energy output of a–Si is 15.07% higher than cSi, which is optimum between these recommended two modules during dry season in Malaysia.

4 Conclusion

In this study, performance evaluation of a–Si and cSi PV modules and their dry–season energy yield prediction model are developed for NEM in Malaysia. The evidence from this study confirms that 4.69 h of average peak sun–hour, minimum humidity value of 25.7%, and maximum solar irradiance of are achievable at Klang valley of peninsular Malaysia during the dry season. However, the environmental data monitored by self–developed wireless smart system shows that solar irradiance can be dropped with 1% increase in humidity. Module temperatures of both the modules do not exceed 58°C due to the blowing wind at , on average. From the evaluation of electrical parameters of the modules, it is observed that the average efficiencies attained about 49.6% (cSi) and 59.75% (a–Si) of the manufacturer rated efficiency. This attainment has occurred due to module temperature significant to cSi which causes 13.95% less efficient when the module temperature exceeded 48°C. Also, a–Si has achieved better OPE than cSi at solar irradiance and between 30-43°C module temperature, whereas opposite performance is noticed above solar irradiance. Due to better light absorbing capability during cloudy condition, the average PR of a–Si (1.21) is higher than cSi (1.02). The PR is found to be inversely proportional to the solar irradiance and thus, decreased by 14.68% (cSi) and 24.8% (a–Si) with 298% increase in solar irradiance. In addition, the yield factor of a-Si (2.73 ) is found to be higher than c-Si (2.33 ). The regression analysis validates most of the obtained models based on electrical and environmental parameters by confirming the statistical and systematic error terms. The strongest (module efficiency versus module temperature) and the weakest (OPE versus module temperature) relations are determined by calculating r = 0.9803, R2 = 0.9611 and r = 0.8168, R2 = 0.6672 from the respective models. Based on the results of the evaluation, the proposed model estimated total energy yield in kWh during the dry season for the NEM monthly reimbursement. The model projects that if 70% is medium and 30% is high luminance days of the dry season, a–Si produces 15.07% more energy than cSi. The overall information suggests promoting a–Si module due to its higher energy yield, PR, OPE, yield factor, and cost over cSi when the size of the module is compromised. Future research should therefore focus on the investigation of better–performed PV module during the secondary maximum and maximum rainfall seasons. Thus, it can determine the total energy yield in kWh of all the seasons in order to come up to a decision about feasibility, right choices of modules, and the fastest payback of NEM investment in Malaysia.

Appendix

Computation formula for statistical error terms The formulas shown in Eqs (14) to (18) are: where, b is the number of collected data at every 15 minutes interval from 08:30 to 17:30; therefore b = (total hours ⋅ 4 + 1) per day. and represent estimated and actual data respectively. While comparing the X with Y axis actual data samples, correlation coefficient (r) is evaluated by using the following expression (19): The value of r is −1 ≤ r ≤ + 1 and closest to −1 or + 1 indicates perfect negative or positive fit respectively. The negative (−) or positive (+) sign denotes relationship between X and Y such that by increasing X, Y decreases or increasing X, Y also increases, i.e. r > 0 refers to positive linear relationship between X and Y. r < 0 refers to negative linear relationship between X and Y. r = 0 refers to weak or no linear relationship between X and Y. 30 Jul 2020 PONE-D-20-15047 Photovoltaic Modules Evaluation and Dry-Season Energy Yield Prediction Model for NEM in Malaysia PLOS ONE Dear Dr. Syed Islam, Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process. 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Upon re-submitting your revised manuscript, please upload your study’s minimal underlying data set as either Supporting Information files or to a stable, public repository and include the relevant URLs, DOIs, or accession numbers within your revised cover letter. For a list of acceptable repositories, please see http://journals.plos.org/plosone/s/data-availability#loc-recommended-repositories. Any potentially identifying patient information must be fully anonymized. Important: If there are ethical or legal restrictions to sharing your data publicly, please explain these restrictions in detail. Please see our guidelines for more information on what we consider unacceptable restrictions to publicly sharing data: http://journals.plos.org/plosone/s/data-availability#loc-unacceptable-data-access-restrictions. Note that it is not acceptable for the authors to be the sole named individuals responsible for ensuring data access. We will update your Data Availability statement to reflect the information you provide in your cover letter. 4.Thank you for stating the following in the Financial Disclosure section: [1. Zahurul Syed, Research Management Center, Research Fund E15501, Universiti Tun Hussein Onn Malaysia (UTHM), www.uthm.edu.my. 2. Mohammad Lutfi, 9671700, Geran Putra Berimpak, University Putra Malaysia (UPM), www.upm.edu.my The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.]. We note that one or more of the authors are employed by a commercial company: Radiation Solutions Inc, Please provide an amended Funding Statement declaring this commercial affiliation, as well as a statement regarding the Role of Funders in your study. If the funding organization did not play a role in the study design, data collection and analysis, decision to publish, or preparation of the manuscript and only provided financial support in the form of authors' salaries and/or research materials, please review your statements relating to the author contributions, and ensure you have specifically and accurately indicated the role(s) that these authors had in your study. You can update author roles in the Author Contributions section of the online submission form. Please also include the following statement within your amended Funding Statement. “The funder provided support in the form of salaries for authors [insert relevant initials], but did not have any additional role in the study design, data collection and analysis, decision to publish, or preparation of the manuscript. The specific roles of these authors are articulated in the ‘author contributions’ section.” If your commercial affiliation did play a role in your study, please state and explain this role within your updated Funding Statement. 2. Please also provide an updated Competing Interests Statement declaring this commercial affiliation along with any other relevant declarations relating to employment, consultancy, patents, products in development, or marketed products, etc. Within your Competing Interests Statement, please confirm that this commercial affiliation does not alter your adherence to all PLOS ONE policies on sharing data and materials by including the following statement: "This does not alter our adherence to  PLOS ONE policies on sharing data and materials.” (as detailed online in our guide for authors http://journals.plos.org/plosone/s/competing-interests) . If this adherence statement is not accurate and  there are restrictions on sharing of data and/or materials, please state these. Please note that we cannot proceed with consideration of your article until this information has been declared. Please include both an updated Funding Statement and Competing Interests Statement in your cover letter. We will change the online submission form on your behalf. Please know it is PLOS ONE policy for corresponding authors to declare, on behalf of all authors, all potential competing interests for the purposes of transparency. PLOS defines a competing interest as anything that interferes with, or could reasonably be perceived as interfering with, the full and objective presentation, peer review, editorial decision-making, or publication of research or non-research articles submitted to one of the journals. Competing interests can be financial or non-financial, professional, or personal. Competing interests can arise in relationship to an organization or another person. Please follow this link to our website for more details on competing interests: http://journals.plos.org/plosone/s/competing-interests 5. We note you have included a table to which you do not refer in the text of your manuscript. Please ensure that you refer to Table 5 in your text; if accepted, production will need this reference to link the reader to the Table. [Note: HTML markup is below. Please do not edit.] Reviewers' comments: Reviewer's Responses to Questions Comments to the Author 1. Is the manuscript technically sound, and do the data support the conclusions? The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented. Reviewer #1: Yes Reviewer #2: Partly ********** 2. Has the statistical analysis been performed appropriately and rigorously? Reviewer #1: Yes Reviewer #2: Yes ********** 3. Have the authors made all data underlying the findings in their manuscript fully available? The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified. Reviewer #1: Yes Reviewer #2: No ********** 4. Is the manuscript presented in an intelligible fashion and written in standard English? PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here. Reviewer #1: No Reviewer #2: Yes ********** 5. Review Comments to the Author Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters) Reviewer #1: The manuscript is reviewed carefully, widely statistical analysis is given in this study for a small period. In my opinion a small period is not enough for showing the differences between types. The whole manuscript has to be revised carefully, Some common symbols, for temperature, for efficiency (nu nopt ro) has to be used. please use c or a for crystalline silicon and amorphous silicon in small letters. please check the sentence in line 41 (there is a dimension problem) Also check line 45. It is suggested to combine sentence with previous one (line 67) because a reference is necessary. check and open the sentence on line 68 and explain the reason. Please explain which 3 days on line 80. It is suggested not to start a new sentence with a ref. number, In X, Table X or Fig. X. but cite them in the sentence. It is suggested to remove "and environmental" from the heading of section 2. It is more convenient to compare the energy rating (kWh/kWp) and it is suggested to write in the manuscript. The conc. section is supported by data It is good. Reviewer #2: 1. I suggest reorganizing the abstract, highlighting the novelties introduced, it should contain answers to the following questions: • What problem was studied and why is it important? • What methods were used? • What are the important results? • What conclusions can be drawn from the results? • What is the novelty of the work and where does it go beyond previous efforts in the literature? The originality of the paper needs to be stated clearly. [NOTE: If reviewer comments were submitted as an attachment file, they will be attached to this email and accessible via the submission site. Please log into your account, locate the manuscript record, and check for the action link "View Attachments". If this link does not appear, there are no attachment files.] While revising your submission, please upload your figure files to the Preflight Analysis and Conversion Engine (PACE) digital diagnostic tool, https://pacev2.apexcovantage.com/. PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Registration is free. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email PLOS at figures@plos.org. Please note that Supporting Information files do not need this step. 11 Sep 2020 We refer to the ‘Response to Reviewers’ for the detail of our actions against each comment. Submitted filename: Response to Reviewers.pdf Click here for additional data file. 23 Oct 2020 Photovoltaic Modules Evaluation and Dry-Season Energy Yield Prediction Model for NEM in Malaysia PONE-D-20-15047R1 Dear Dr. Syed Zahurul Islam, We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements. Within one week, you’ll receive an e-mail detailing the required amendments. When these have been addressed, you’ll receive a formal acceptance letter and your manuscript will be scheduled for publication. An invoice for payment will follow shortly after the formal acceptance. To ensure an efficient process, please log into Editorial Manager at http://www.editorialmanager.com/pone/, click the 'Update My Information' link at the top of the page, and double check that your user information is up-to-date. If you have any billing related questions, please contact our Author Billing department directly at authorbilling@plos.org. If your institution or institutions have a press office, please notify them about your upcoming paper to help maximize its impact. If they’ll be preparing press materials, please inform our press team as soon as possible -- no later than 48 hours after receiving the formal acceptance. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information, please contact onepress@plos.org. Kind regards, Mahesh Suryawanshi, Ph. D. Academic Editor PLOS ONE Additional Editor Comments (optional): Reviewers' comments: Reviewer's Responses to Questions Comments to the Author 1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation. Reviewer #1: All comments have been addressed ********** 2. Is the manuscript technically sound, and do the data support the conclusions? The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented. Reviewer #1: Yes ********** 3. Has the statistical analysis been performed appropriately and rigorously? Reviewer #1: Yes ********** 4. Have the authors made all data underlying the findings in their manuscript fully available? The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified. Reviewer #1: Yes ********** 5. Is the manuscript presented in an intelligible fashion and written in standard English? PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here. Reviewer #1: Yes ********** 6. Review Comments to the Author Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters) Reviewer #1: It is understood that the manuscript is revised and It is better in this format. The authors revise the manuscript according to the suggestions. ********** 7. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files. If you choose “no”, your identity will remain anonymous but your review may still be made public. Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy. Reviewer #1: Yes 30 Oct 2020 PONE-D-20-15047R1 Photovoltaic Modules Evaluation and Dry-Season Energy Yield Prediction Model for NEM in Malaysia Dear Dr. Islam: I'm pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now with our production department. If your institution or institutions have a press office, please let them know about your upcoming paper now to help maximize its impact. If they'll be preparing press materials, please inform our press team within the next 48 hours. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information please contact onepress@plos.org. If we can help with anything else, please email us at plosone@plos.org. Thank you for submitting your work to PLOS ONE and supporting open access. Kind regards, PLOS ONE Editorial Office Staff on behalf of Dr. Mahesh Suryawanshi Academic Editor PLOS ONE
  3 in total

1.  Evaluation of the 2013 Southeast Asian Haze on Solar Generation Performance.

Authors:  Mohammadreza Maghami; Hashim Hizam; Chandima Gomes; Shahrooz Hajighorbani; Nima Rezaei
Journal:  PLoS One       Date:  2015-08-14       Impact factor: 3.240

2.  Photovoltaic Grid-Connected Modeling and Characterization Based on Experimental Results.

Authors:  Ali M Humada; Mojgan Hojabri; Mohd Herwan Bin Sulaiman; Hussein M Hamada; Mushtaq N Ahmed
Journal:  PLoS One       Date:  2016-04-01       Impact factor: 3.240

  3 in total

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