Variations of PV Panel Performance Installed over a Vegetated Roof and a Conventional Black Roof

The total worldwide photovoltaic (PV) capacity has been growing from about 1 GW at the beginning of the twenty-first century to over 300 GW in 2016 and is expected to reach 740 GW by 2022. PV panel efficiency is reported by PV manufacturers based on laboratory testing under Standard Testing Condition with a specific temperature of 25 ◦C and solar irradiation of 1000 W/m2. This research investigated the thermal interactions between the building roof surface and PV panels by examining the differences in PV panel temperature and energy output for those installed over a green roof (PV-Green) and those installed over a black roof (PV-Black). A year-long experimental study was conducted over the roof of an educational building with roof mounted PV panels with a system capacity of 4.3 kW to measure PV underside surface temperature (PV-UST), ambient air temperature between PV panel and building roof (PV-AT), and PV energy production (PV-EP). The results show that during the summer the PV-Green consistently recorded lower PV-UST and PV-AT temperatures and more PV-EP than PV-Black. The average hourly PV-EP difference was about 0.045 kWh while the maximum PV-EP difference was about 0.075 kWh, which represents roughly a 3.3% and 5.3% increase in PV-EP. For the entire study period, EP-Green produced 19.4 kWh more energy, which represents 1.4% more than EP-Black.


Introduction
The global building sector accounts for more than one-fifth of total worldwide energy consumption and is expected to increase by 38% from 2010 to 2040 [1].Buildings in the United States consume 41% of primary energy in the country and 7% of total primary energy worldwide [2,3].The challenge is that three-fourths of the world's energy infrastructure heavily depends on fossil fuels.The challenge with fossil fuels as a source of energy is that they are considered a major producer of greenhouse gases and humans deplete them faster than they are generated.Although the worldwide fuel sources used to generate electricity have changed over the last decades, coal and natural gas accounted for more than 60% of the overall worldwide electricity production in 2010 [4].
Solar energy is a promising energy source that has received greater public attention in the last decade.The total worldwide installed photovoltaic (PV) capacity was about 1 GW in 2000 and it surpassed 138 GW of installed power in 2013 [1].In 2014, around 40 GW of PV power was added to reach a global total capacity of 177 GW [5].The total PV capacity exceeded 300 GW in 2016 with an addition of over 74 GW to the global capacity, which grew faster than any other fuel source [6,7].The total global PV capacity is expected to reach 740 GW by 2022 [6].
Building roofs in general are ideal spaces for solar technology because they are usually larger in size, contiguous, and have minimal shade.Also, when electricity is generated on the roof and consumed in the building, the average losses of 7% from transmission and distribution lines can be avoided [8].According to the National Renewable Energy Laboratory (NREL), rooftop mounted systems accounted for 74% of the installed PV generation capacity in the United States in 2008 [9].According to the U.S. Energy Information Administration (EIA), the electricity generation from solar power in the building sector was around 5000 GWh in 2010 and reached around 15,000 GWh in 2015 and is expected to reach 100,000 GWh in 2040 [10].
The growth in the PV market is due to several factors; such as government incentives, environmental concerns, and increase in PV efficiency and decrease in cost [11][12][13].The conversion efficiency of crystalline silicon, which represents over 85% of the market share, is 20% to 27%.The conversion efficiency of a PV module is tested in laboratories under a controlled environment using a specific procedure called Standard Test Conditions (STC).Standard Test Conditions create uniform test conditions which make it possible to conduct uniform comparisons of photovoltaic modules by different manufacturers.Ratings under the STC involve a constant temperature of 25 • C, a constant solar irradiance of 1000 W/m 2 , and a constant sunlight spectrum of AM (air mass) 1.5 G (global).However, the conversion efficiency of field installed PV modules is lower than that measured under the STC due to several factors, such as: electrical circuit resistance, dirt and dust accumulation, shade, a range of operating temperatures, solar irradiances, and sunlight spectra.The operation temperature of PV modules has an impact on the conversion efficiency.Therefore, PV manufacturers publish temperature coefficients relating losses in efficiency for each degree the temperature fluctuates from the base of 25 • C.
There are several roofing types that have a range of thermal performance.Conventional roofing materials during summer months can reach temperatures of 80 • C while a green roof, also known as vegetated roof, stays below 50 • C [14].Green roof temperatures depend on the roof's composition, moisture content, geographic location, and solar exposure [15].Most green roof surfaces stay cooler than conventional rooftops under summertime conditions because of plant shading and evapotranspiration.Conventional roofing materials have higher surface temperatures during summertime because the material's solar reflectance ranges between 5% and 25%, which means 75-95% of the Sun's energy is absorbed [16].An experimental study conducted in Chicago, IL during the summer compared the roof surface and ambient air temperatures of a green roof to a conventional roof and it found that the ambient air temperature over the conventional roof measured about 45.5 • C while the green roof was 41.6 • C. The green roof surface temperature ranged from 32.7 • C to 48.3 • C while the black roof was 76 • C [17].
PV panels installed over building roofs have a thermal interaction with the roof surface.This study investigated the thermal interactions between PV panels and roof surface for PV panels installed over a green roof and PV panels installed over a conventional roof.The PV panels over both roof types were the same type, with the same height, tilt, racking system, and inverter.The main goal is to quantify the differences in PV operation temperatures and energy out-put as an impact of different roofing materials.A few studies have examined the impact of roofing choice on the performance of PV panels.Several of these studies, such as the studies of [18][19][20] compared the performance of PV panels over green roofs with PV panels over black roofs while the studies of [21,22] compared the performance of PV panels over green roofs with PV panels over gravel roofs.These works report that PV panels installed over a green roof have output increase ranging from 0.5% to 4.8% in reference to PV panels over conventional roofing materials; however, none of these works had compared full scale identical installation over a long period of time.Both studies of [18,20] conducted a long term study with full scale installations but in ref. [18] study the PV panels were not identical in terms of number and type and in ref. [20] study the distances from the roof surface to the PV panels were not identical.The experiment measurements for ref.
[22] study were conducted for a couple of months and for [19] the study was conducted only for several hours.Also, the PV panel installations in [21,22] studies were at laboratory scale.This study improves on previous literature by quantifying the relationship between roof surface temperatures and PV electrical output by comparing the performance of PV-Green and PV-Black through a 12-month experiment with the same PV panel type, tilt, inverter, racking system, Energies 2018, 11, 1110 3 of 14 and heights.Investigating the performance of PV-Green and PV-Black through an experimental study will help to fill the lack of quantitative data that identifies the impact of roofing materials on the performance of PV panels.

Experimental Bed Setting
A field experimental study was conducted to investigate the thermal interaction between building roofing materials and PV panels.This research examined the performance of PV panels over a green roof (PV-Green) to the performance of PV panels over a black roof (PV-Black).The roof of the Center for Design Research (CDR) at the University of Kansas in Lawrence, Kansas, USA was used to conduct the study.The CDR has roof mounted Yingi Solar 235 W PV panels.The total system capacity is 4.23 kW.Nine panels are over a green roof and nine others are over a black roof as shown in Figure 1.The PV modules' electrical features are presented in Table 1.The tilt angle for all the panels was fixed at 10 • facing south.The PV panel dimensions are 1.65 m by 0.99 m and mounted in landscape orientation.The height of the panels' bottom frame, with respect to the roofing system, is 0.2 m.The distance between each row of PVs is 0.4 m.
quantitative data that identifies the impact of roofing materials on the performance of PV panels.

Experimental Bed Setting
A field experimental study was conducted to investigate the thermal interaction between building roofing materials and PV panels.This research examined the performance of PV panels over a green roof (PV-Green) to the performance of PV panels over a black roof (PV-Black).The roof of the Center for Design Research (CDR) at the University of Kansas in Lawrence, Kansas, USA was used to conduct the study.The CDR has roof mounted Yingi Solar 235 W PV panels.The total system capacity is 4.23 kW.Nine panels are over a green roof and nine others are over a black roof as shown in Figure 1.The PV modules' electrical features are presented in Table 1.The tilt angle for all the panels was fixed at 10° facing south.The PV panel dimensions are 1.65 m by 0.99 m and mounted in landscape orientation.The height of the panels' bottom frame, with respect to the roofing system, is 0.2 m.The distance between each row of PVs is 0.4 m.The green roof portion is a tray-based green system.Concerns were raised regarding the survival of the vegetated roof under the PV panels.The native sedum plants that were selected need a minimal amount of solar radiation and irrigation.There were no major issues with the plants growing under the PV panels.The black roof membrane is a bitumen membrane.The roof configuration is shown in Figure 2. Enphase M250 Microinverters were installed under each PV panel to monitor the energy production of each individual solar panel.Enphase Energy Inc. is an energy technology company headquartered in Petaluma, CA, USA.The Enphase Microinverter specifications are presented in Table 2.
The green roof portion is a tray-based green system.Concerns were raised regarding the survival of the vegetated roof under the PV panels.The native sedum plants that were selected need a minimal amount of solar radiation and irrigation.There were no major issues with the plants growing under the PV panels.The black roof membrane is a bitumen membrane.The roof configuration is shown in Figure 2

Data Aquisition
An Onset HOBO U30 weather station was installed over the CDR roof to record data on wind speed and direction, solar radiation, ambient temperature, and relative humidity.In addition, Onset HOBO U12 data loggers were mounted under each panel to measure ambient air temperature, roof surface temperature, relative humidity, and PV panel underside surface temperature.The data acquisition technical specifications are listed in Table 3.The PV underside surface temperature (UST) sensors were attached at the center of each PV panel.The ambient temperature (AT) sensors were placed at the center of each PV panel between the roof surface and the PV panel.The roof surface temperature (RST) sensors were also placed at the center of each PV panel and not exposed to direct solar irradiation.The green roof soil temperature and moisture content were monitored using Onset Hobo soil temperature sensors and EC-5 smart sensors.The sensor locations and types are shown in Figure 3.All monitored data were collected every five minutes; however, the data were averaged hourly to minimize the effects caused by sudden changes in wind speed or passing clouds.

Data Aquisition
An Onset HOBO U30 weather station was installed over the CDR roof to record data on wind speed and direction, solar radiation, ambient temperature, and relative humidity.In addition, Onset HOBO U12 data loggers were mounted under each panel to measure ambient air temperature, roof surface temperature, relative humidity, and PV panel underside surface temperature.The data acquisition technical specifications are listed in Table 3.The PV underside surface temperature (UST) sensors were attached at the center of each PV panel.The ambient temperature (AT) sensors were placed at the center of each PV panel between the roof surface and the PV panel.The roof surface temperature (RST) sensors were also placed at the center of each PV panel and not exposed to direct solar irradiation.The green roof soil temperature and moisture content were monitored using Onset Hobo soil temperature sensors and EC-5 smart sensors.The sensor locations and types are shown in Figure 3.All monitored data were collected every five minutes; however, the data were averaged hourly to minimize the effects caused by sudden changes in wind speed or passing clouds.

Calibration Tests
Calibration tests were performed for two months (June and July) to verify that the experimental bed had similar thermal performance before applying any treatment.The ambient temperature (AT), underside surface temperature (UST), and PV panel power output of each panel were measured prior to any treatments.For the pre-treatment test period, the sensors were placed at the same locations that are shown in Figure 3.The ambient temperatures (AT) under the PV panels had small differences during the peak of hot days but were otherwise similar.Since temperature fluctuation happens only when high temperatures occur, the average ambient temperature of days with high temperatures were selected to quantify the fluctuation difference.For the majority of the pre-treatment test period, all the monitoring points recorded almost the same ambient temperature with maximum differences of less than 1 °C.During days with high ambient temperature, the differences in ambient temperature happened during the peak of the day with an average difference of less than 2 °C.The maximum average temperature was 37.6 °C and the minimum average temperature was 35.9 °C, which means that all the monitoring points fit between these two values.The difference between the maximum and minimum temperature is about 1.7 °C.The peak differences occurred during the hottest day of the pre-treatment test period.This test verified that the experimental bed performed almost similarly before any treatments were applied.

Overall Performance Analysis
The performance of PV-Green was compared with the performance of PV-Black to measure the hourly energy production (EP), ambient temperature (AT), and underside surface temperature (UST) differences for an entire year.The hours of the year that EP-Green produced more power than EP-Black are shown in Figure 4.The average hourly energy production difference was about 45 Wh while the maximum energy production difference was about 75 Wh, which represents roughly a 3.3% and 5.3% increase in energy production.The fluctuations in power output happened more during hot days and the maximum differences occurred during the day's peak temperature.EP-Green produced more energy for a few hours during the cold days than EP-Black with an average difference of about 30 Wh, which represents about a 2.4% increase in energy production.

Calibration Tests
Calibration tests were performed for two months (June and July) to verify that the experimental bed had similar thermal performance before applying any treatment.The ambient temperature (AT), underside surface temperature (UST), and PV panel power output of each panel were measured prior to any treatments.For the pre-treatment test period, the sensors were placed at the same locations that are shown in Figure 3.The ambient temperatures (AT) under the PV panels had small differences during the peak of hot days but were otherwise similar.Since temperature fluctuation happens only when high temperatures occur, the average ambient temperature of days with high temperatures were selected to quantify the fluctuation difference.For the majority of the pre-treatment test period, all the monitoring points recorded almost the same ambient temperature with maximum differences of less than 1 • C.During days with high ambient temperature, the differences in ambient temperature happened during the peak of the day with an average difference of less than 2 • C. The maximum average temperature was 37.6 • C and the minimum average temperature was 35.9 • C, which means that all the monitoring points fit between these two values.The difference between the maximum and minimum temperature is about 1.7 • C. The peak differences occurred during the hottest day of the pre-treatment test period.This test verified that the experimental bed performed almost similarly before any treatments were applied.

Overall Performance Analysis
The performance of PV-Green was compared with the performance of PV-Black to measure the hourly energy production (EP), ambient temperature (AT), and underside surface temperature (UST) differences for an entire year.The hours of the year that EP-Green produced more power than EP-Black are shown in Figure 4.The average hourly energy production difference was about 45 Wh while the maximum energy production difference was about 75 Wh, which represents roughly a 3.3% and 5.3% increase in energy production.The fluctuations in power output happened more during hot days and the maximum differences occurred during the day's peak temperature.EP-Green produced more energy for a few hours during the cold days than EP-Black with an average difference of about 30 Wh, which represents about a 2.4% increase in energy production.
UST-Green are show in Figure 6.The average hourly underside surface temperature difference was about 3 °C whereas the maximum underside surface temperature was approximately 6 °C.The underside surface temperature differences are consistent with the ambient temperature differences.The maximum differences happened during the peak temperature of the day.As shown in the figure, for a few hours during the cold days, UST-Black's underside surface temperature was higher than UST-Green.The average difference during cold days was about 1 °C.The previous figures show the correlation between the differences in air and underside surface temperature and PV energy production.However, the differences in the temperatures do not always impact the energy production differences as explained in the following detailed performance The hours of the year that AT-Black recorded higher ambient temperatures than AT-Green are shown in Figure 5.The average hourly ambient temperature difference was about 2.5 • C whereas the maximum ambient temperature difference was about 5 • C. Similar to the energy production, the fluctuations in ambient temperature happened more during hot days, and the maximum differences occurred during the peak temperature of the day.
The hours of the year that AT-Black recorded higher ambient temperatures than AT-Green are shown in Figure 5.The average hourly ambient temperature difference was about 2.5 °C whereas the maximum ambient temperature difference was about 5 °C.Similar to the energy production, the fluctuations in ambient temperature happened more during hot days, and the maximum differences occurred during the peak temperature of the day.
The hours of the year that UST-Black recorded higher underside surface temperature than UST-Green are show in Figure 6.The average hourly underside surface temperature difference was about 3 °C whereas the maximum underside surface temperature was approximately 6 °C.The underside surface temperature differences are consistent with the ambient temperature differences.The maximum differences happened during the peak temperature of the day.As shown in the figure, for a few hours during the cold days, UST-Black's underside surface temperature was higher than UST-Green.The average difference during cold days was about 1 °C.The previous figures show the correlation between the differences in air and underside surface temperature and PV energy production.However, the differences in the temperatures do not always impact the energy production differences as explained in the following detailed performance The hours of the year that UST-Black recorded higher underside surface temperature than UST-Green are show in Figure 6.The average hourly underside surface temperature difference was about 3 • C whereas the maximum underside surface temperature was approximately 6 • C. The underside surface temperature differences are consistent with the ambient temperature differences.The maximum differences happened during the peak temperature of the day.As shown in the figure, for a few hours during the cold days, UST-Black's underside surface temperature was higher than UST-Green.The average difference during cold days was about 1 • C. The hours of the year that AT-Black recorded higher ambient temperatures than AT-Green are shown in Figure 5.The average hourly ambient temperature difference was about 2.5 °C whereas the maximum ambient temperature difference was about 5 °C.Similar to the energy production, the fluctuations in ambient temperature happened more during hot days, and the maximum differences occurred during the peak temperature of the day.
The hours of the year that UST-Black recorded higher underside surface temperature than UST-Green are show in Figure 6.The average hourly underside surface temperature difference was about 3 °C whereas the maximum underside surface temperature was approximately 6 °C.The underside surface temperature differences are consistent with the ambient temperature differences.The maximum differences happened during the peak temperature of the day.As shown in the figure, for a few hours during the cold days, UST-Black's underside surface temperature was higher than UST-Green.The average difference during cold days was about 1 °C.The previous figures show the correlation between the differences in air and underside surface temperature and PV energy production.However, the differences in the temperatures do not always impact the energy production differences as explained in the following detailed performance The previous figures show the correlation between the differences in air and underside surface temperature and PV energy production.However, the differences in the temperatures do not always impact the energy production differences as explained in the following detailed performance analysis.There are hours of the year that recorded temperature differences between the two roofing types and the differences in energy production were minimal.It is also important to mention that a couple of days in early May and late August have slightly higher temperature differences, but fewer differences in energy production.During these specific periods, some work took place over the building roof that cast shade over some of the PV panels for an extended period of time.In addition, the percentage of energy production differences during cold periods, like December, seemed to be high because the actual energy production was low and small differences recorded a high percentage.For about 6% of the year, EP-Black was slightly higher than EP-Green by an average of 15 Wh.These occurrences were scattered throughout the day but did not occur during the day's peak times.The average ambient temperature difference was 0.3 • C and the average underside surface temperature difference was 0.8 • C.

Detailed Performance Analysis
Detailed analyses for several days represent the peak and the average differences throughout the year in energy production and thermal performance.Previous figures show only the energy production, ambient temperature, and underside surface temperature differences.Therefore, this section studies in detail the trends in energy production and temperature change over time.The time period selected for the detailed performance analysis was based on the times that showed the peak, average, and lowest performance differences.
Figure 7 shows the energy production profiles for two days, 4-5 June.On the first day, the maximum energy production by EP-Green at peak hours was 1868 Wh, and EP-Black was 1801 Wh.On the second day, the maximum energy production by EP11-Green at peak hours was 1777 Wh, and EP17-Black was 1707 Wh.The energy production profiles show maximum temperature differences of roughly 67 Wh and 70 Wh at the peak production for the first day and the second day, respectively.This translates to differences of 3.7% and 4.1% between EP-Green and EP-Black in the peak energy production values.The solar irradiation and energy production profiles show similar patterns.The peak solar irradiation values were 972 W/m 2 on the first day and 976 W/m 2 on the second day.
Energies 2018, 11, x FOR PEER REVIEW 7 of 13 analysis.There are hours of the year that recorded temperature differences between the two roofing types and the differences in energy production were minimal.It is also important to mention that a couple of days in early May and late August have slightly higher temperature differences, but fewer differences in energy production.During these specific periods, some work took place over the building roof that cast shade over some of the PV panels for an extended period of time.In addition, the percentage of energy production differences during cold periods, like December, seemed to be high because the actual energy production was low and small differences recorded a high percentage.For about 6% of the year, EP-Black was slightly higher than EP-Green by an average of 15 Wh.These occurrences were scattered throughout the day but did not occur during the day's peak times.The average ambient temperature difference was 0.3 °C and the average underside surface temperature difference was 0.8 °C.

Detailed Performance Analysis
Detailed analyses for several days represent the peak and the average differences throughout the year in energy production and thermal performance.Previous figures show only the energy production, ambient temperature, and underside surface temperature differences.Therefore, this section studies in detail the trends in energy production and temperature change over time.The time period selected for the detailed performance analysis was based on the times that showed the peak, average, and lowest performance differences.
Figure 7 shows the energy production profiles for two days, 4-5 June.On the first day, the maximum energy production by EP-Green at peak hours was 1868 Wh, and EP-Black was 1801 Wh.On the second day, the maximum energy production by EP11-Green at peak hours was 1777 Wh, and EP17-Black was 1707 Wh.The energy production profiles show maximum temperature differences of roughly 67 Wh and 70 Wh at the peak production for the first day and the second day, respectively.This translates to differences of 3.7% and 4.1% between EP-Green and EP-Black in the peak energy production values.The solar irradiation and energy production profiles show similar patterns.The peak solar irradiation values were 972 W/m 2 on the first day and 976 W/m 2 on the second day.The ambient temperature and the underside surface temperature comparisons between the AT Green and the AT-Black and between UST-Green and the UST-Black are shown in Figure 8.On the first day, the ambient temperature profiles at the peak show a maximum temperature difference of 2.4 °C.The AT-Green reached a peak temperature of 30.5 °C whereas the AT-Black reached a peak temperature of 32.9 °C.The ambient temperature from the weather station (Station AT) was 27.2 °C.The AT-Green and the AT-Black at the peak were 3.3 °C and 5.7 °C hotter than Station AT, respectively.The underside surface temperature profile shows maximum temperature differences of 3.8 °C at the peak temperature.The UST-Green and the UST-Black reached a peak temperature of The ambient temperature and the underside surface temperature comparisons between the AT Green and the AT-Black and between UST-Green and the UST-Black are shown in Figure 8.On the first day, the ambient temperature profiles at the peak show a maximum temperature difference of  The energy production profiles for 15-16 June are shown in Figure 9. On the first day, the maximum energy production by EP-Green at peak hours was 1695 Wh, and EP-Black was 1641 Wh.On the second day, the maximum energy production by EP-Green at peak hours was 1733 Wh, and EP-Black was 1666 Wh.The energy production profiles show maximum temperature differences of about 54 Wh and 67 Wh at the peak production for the first day and the second day, respectively.This translates to differences of 3.3% and 4% between EP-Green and EP-Black in peak energy production values.The solar irradiation and energy production profiles show similar patterns and the peak solar irradiation values were 964 W/m 2 on the first day and 959 W/m 2 on the second day.The ambient temperature and underside surface temperature comparisons between the AT-Green and AT-Black and between UST-Green and the UST-Black are shown in Figure 10.On the  The energy production profiles for 15-16 June are shown in Figure 9. On the first day, the maximum energy production by EP-Green at peak hours was 1695 Wh, and EP-Black was 1641 Wh.On the second day, the maximum energy production by EP-Green at peak hours was 1733 Wh, and EP-Black was 1666 Wh.The energy production profiles show maximum temperature differences of about 54 Wh and 67 Wh at the peak production for the first day and the second day, respectively.This translates to differences of 3.3% and 4% between EP-Green and EP-Black in peak energy production values.The solar irradiation and energy production profiles show similar patterns and the peak solar irradiation values were 964 W/m 2 on the first day and 959 W/m 2 on the second day.
The ambient temperature and underside surface temperature comparisons between the AT-Green and AT-Black and between UST-Green and the UST-Black are shown in Figure 10.On the first day, the ambient temperature profiles at the peak show a maximum temperature difference of 4 • C. The AT-Green reached a peak temperature of 42.The UST-Green and the UST-Black reached a peak temperature of 63.3 • C and 66.6 • C, as evidenced in the data.
The energy production profiles for 15-16 June are shown in Figure 9. On the first day, the maximum energy production by EP-Green at peak hours was 1695 Wh, and EP-Black was 1641 Wh.On the second day, the maximum energy production by EP-Green at peak hours was 1733 Wh, and EP-Black was 1666 Wh.The energy production profiles show maximum temperature differences of about 54 Wh and 67 Wh at the peak production for the first day and the second day, respectively.This translates to differences of 3.3% and 4% between EP-Green and EP-Black in peak energy production values.The solar irradiation and energy production profiles show similar patterns and the peak solar irradiation values were 964 W/m 2 on the first day and 959 W/m 2 on the second day.The ambient temperature and underside surface temperature comparisons between the AT-Green and AT-Black and between UST-Green and the UST-Black are shown in Figure 10.On the first day, the ambient temperature profiles at the peak show a maximum temperature difference of 4 °C.The AT-Green reached a peak temperature of 42.5 °C while the AT-Black reached a peak  The energy production profiles for 19-20 July are shown in Figure 11.On the first day, the maximum energy production by EP-Green at peak hours was 1715 Wh, and EP-Black was 1698 Wh.On the second day, the maximum energy production by EP-Green at peak hours was 1667 Wh, while EP-Black was 1627 Wh.The energy production profiles show maximum temperature differences of about 47 Wh and 40 Wh at the peak production for the first day and the second day, respectively.This translates to differences of 2.8% and 2.5% between EP-Green and EP-Black in the peak energy production values.The solar irradiation and energy production profiles show similar patterns and the peak solar irradiation values were 922 W/m 2 on the first day and 908 W/m 2 on the second day.The energy production profiles for 19-20 July are shown in Figure 11.On the first day, the maximum energy production by EP-Green at peak hours was 1715 Wh, and EP-Black was 1698 Wh.On the second day, the maximum energy production by EP-Green at peak hours was 1667 Wh, while EP-Black was 1627 Wh.The energy production profiles show maximum temperature differences of about 47 Wh and 40 Wh at the peak production for the first day and the second day, respectively.This translates to differences of 2.8% and 2.5% between EP-Green and EP-Black in the peak energy production values.The solar irradiation and energy production profiles show similar patterns and the peak solar irradiation values were 922 W/m 2 on the first day and 908 W/m 2 on the second day.
On the second day, the maximum energy production by EP-Green at peak hours was 1667 Wh, while EP-Black was 1627 Wh.The energy production profiles show maximum temperature differences of about 47 Wh and 40 Wh at the peak production for the first day and the second day, respectively.This translates to differences of 2.8% and 2.5% between EP-Green and EP-Black in the peak energy production values.The solar irradiation and energy production profiles show similar patterns and the peak solar irradiation values were 922 W/m 2 on the first day and 908 W/m 2 on the second day.The ambient temperature and the underside surface temperature comparisons between AT-Green and AT-Black and between UST-Green and UST-Black are shown in Figure 12.On the first day, the ambient temperature profiles at the peak show a maximum temperature difference of 0. The ambient temperature and the underside surface temperature comparisons between AT-Green and AT-Black and between UST-Green and UST-Black are shown in Figure 12.On the first day, the ambient temperature profiles at the peak show a maximum temperature difference of 0.5 °C.The AT-Green reached a peak temperature of 39.9 °C while the AT-Black reached a peak temperature of 40.4 °C and the ambient temperature from the weather station was 33.4 °C.The AT-Green and AT-Black at the peak were 6.5 °C and 7 °C hotter than Station AT, respectively.The underside surface temperature profile showed maximum temperature differences of 1.9 °C at the peak temperature.The UST-Green and the UST-Black reached a peak temperature of 56.3 °C and 58.2 °C, respectively.On the second day, the ambient temperature profiles at the peak show a maximum temperature difference of 0.5 °C.The AT-Green reached a peak temperature of 40.3 °C whereas the AT-Black reached a peak temperature of 40.8 °C.The ambient temperature from the weather station was 34.9 °C.The AT11-Green and the AT-Black at the peak were 5.4 °C and 5.9 °C hotter than Station AT, respectively.The underside surface temperature profile showed maximum temperature differences of 2 °C at the peak temperature.In addition, the UST-Green and UST-Black reached a peak temperature of 54.2 °C and 56.2 °C.The energy production profiles for 3-4 April are shown in Figure 13.On the first day, the maximum energy production by EP-Green at peak hours was 1795 Wh, and EP-Black was 1769 Wh.On the second day, the maximum energy production by EP-Green at the peak hours was 1748 Wh, and EP-Black was 1735 Wh.The energy production profiles show maximum temperature differences of about 26 Wh and 13 Wh at the peak production for the first day and the second day, respectively.This translates to differences of 1.5% and 0.8% between EP-Green and EP-Black in the peak energy production values.The solar irradiation and energy production profiles show similar patterns and the peak solar irradiation values were 832 W/m 2 on the first day and 838 W/m 2 on the second day.The energy production profiles for 3-4 April are shown in Figure 13.On the first day, the maximum energy production by EP-Green at peak hours was 1795 Wh, and EP-Black was 1769 Wh.On the second day, the maximum energy production by EP-Green at the peak hours was 1748 Wh, and EP-Black was Energies 2018, 11, 1110 11 of 14 1735 Wh.The energy production profiles show maximum temperature differences of about 26 Wh and 13 Wh at the peak production for the first day and the second day, respectively.This translates to differences of 1.5% and 0.8% between EP-Green and EP-Black in the peak energy production values.The solar irradiation and energy production profiles show similar patterns and the peak solar irradiation values were 832 W/m 2 on the first day and 838 W/m 2 on the second day.The ambient temperature and the underside surface temperature comparisons between the AT-Green and AT-Black and between UST-Green and UST-Black are shown in Figure 14.On the first day, the ambient temperature profiles at the peak show a maximum temperature difference of 1.4 °C.The AT-Green reached a peak temperature of 26.8 °C, whereas the AT-Black reached a peak temperature of 28.2 °C.The ambient temperature from the weather station was 26.7 °C.The AT-Green and AT-Black at the peak were 0.1 °C and 1.5 °C hotter than Station AT, respectively.The underside surface temperature profile shows maximum temperature differences of 2.2 °C at the peak temperature.The UST-Green and the UST-Black reached a peak temperature of 36.6 °C and 38.8 °C.On the second day, the ambient temperature profiles at the peak show a maximum temperature difference of 2.1 °C.The AT-Green reached a peak temperature of 23 °C whereas the AT-Black reached a peak temperature of 25.1 °C.The ambient temperature from the weather station was 20.7 °C.The AT-Green and the AT-Black at the peak were 2.3 °C and 4.4 °C hotter than Station AT, respectively.The underside surface temperature profile showed maximum temperature differences of 2.8 °C at the peak temperature.The UST-Green and the UST-Black reached a peak temperature of 39.4 °C and 42.2 °C, respectively.

Conclusions and Discussion
Building roof surface types have an impact on the performance of PV panels.The variations of roof surface temperatures and ambient air above the roof impact the PV panel underside surface temperature which also impacts energy production.Since the green roof recorded lower surface temperatures than the conventional roof, PV panels over the green roof produced more energy than The ambient temperature and the underside surface temperature comparisons between the AT-Green and AT-Black and between UST-Green and UST-Black are shown in Figure 14.On the first day, the ambient temperature profiles at the peak show a maximum temperature difference of 1.4 °C.The AT-Green reached a peak temperature of 26.8 °C, whereas the AT-Black reached a peak temperature of 28.2 °C.The ambient temperature from the weather station was 26.7 °C.The AT-Green and AT-Black at the peak were 0.1 °C and 1.5 °C hotter than Station AT, respectively.The underside surface temperature profile shows maximum temperature differences of 2.2 °C at the peak temperature.The UST-Green and the UST-Black reached a peak temperature of 36.6 °C and 38.8 °C.On the second day, the ambient temperature profiles at the peak show a maximum temperature difference of 2.1 °C.The AT-Green reached a peak temperature of 23 °C whereas the AT-Black reached a peak temperature of 25.1 °C.The ambient temperature from the weather station was 20.7 °C.The AT-Green and the AT-Black at the peak were 2.3 °C and 4.4 °C hotter than Station AT, respectively.The underside surface temperature profile showed maximum temperature differences of 2.8 °C at the peak temperature.The UST-Green and the UST-Black reached a peak temperature of 39.4 °C and 42.2 °C, respectively.

Conclusions and Discussion
Building roof surface types have an impact on the performance of PV panels.The variations of roof surface temperatures and ambient air above the roof impact the PV panel underside surface temperature which also impacts energy production.Since the green roof recorded lower surface temperatures than the conventional roof, PV panels over the green roof produced more energy than

13 Figure 3 .
Figure 3. Sensor locations (left) and schematic of sensor types and locations (right).

Figure 3 .
Figure 3. Sensor locations (left) and schematic of sensor types and locations (right).

Figure 4 .
Figure 4. Hourly energy production differences of EP-Green vs. EP-Black.

Figure 5 .
Figure 5. Hourly ambient temperature differences of AT-Green vs. AT-Black.

Figure 4 .
Figure 4. Hourly energy production differences of EP-Green vs. EP-Black.

Figure 4 .
Figure 4. Hourly energy production differences of EP-Green vs. EP-Black.

Figure 5 .
Figure 5. Hourly ambient temperature differences of AT-Green vs. AT-Black.

Figure 5 .
Figure 5. Hourly ambient temperature differences of AT-Green vs. AT-Black.

Figure 4 .
Figure 4. Hourly energy production differences of EP-Green vs. EP-Black.

Figure 5 .
Figure 5. Hourly ambient temperature differences of AT-Green vs. AT-Black.
• C. The AT-Green reached a peak temperature of 30.5 • C whereas the AT-Black reached a peak temperature of 32.9 • C. The ambient temperature from the weather station (Station AT) was 27.2 • C. The AT-Green and the AT-Black at the peak were 3.3 • C and 5.7 • C hotter than Station AT, respectively.The underside surface temperature profile shows maximum temperature differences of 3.8 • C at the peak temperature.The UST-Green and the UST-Black reached a peak temperature of 47.1 • C and 50.9 • C. On the second day, the ambient temperature profiles at the peak show a maximum temperature difference of 2.6 • C. The AT-Green reached a peak temperature of 31.7 • C, whereas the AT-Black reached a peak temperature of 34.4 • C. The ambient temperature from the weather station was 27.6 • C. The AT-Green and the AT-Black at the peak were 4.1 • C and 6.8 • C hotter than Station AT, respectively.The underside surface temperature profile shows maximum temperature differences of 4.2 • C at the peak temperature.The UST-Green and the UST-Black reached a peak temperature of 50.1 • C and 54.3 • C. Energies 2018, 11, x FOR PEER REVIEW 8 of 13 47.1 °C and 50.9 °C.On the second day, the ambient temperature profiles at the peak show a maximum temperature difference of 2.6 °C.The AT-Green reached a peak temperature of 31.7 °C, whereas the AT-Black reached a peak temperature of 34.4 °C.The ambient temperature from the weather station was 27.6 °C.The AT-Green and the AT-Black at the peak were 4.1 °C and 6.8 °C hotter than Station AT, respectively.The underside surface temperature profile shows maximum temperature differences of 4.2 °C at the peak temperature.The UST-Green and the UST-Black reached a peak temperature of 50.1 °C and 54.3 °C.

5 •
C while the AT-Black reached a peak temperature of 46.5 • C. The ambient temperature from the weather station was 37.2 • C. The AT-Green and the AT-Black at the peak were 5.3 • C and 9.3 • C hotter than Station AT, respectively.The underside surface temperature profile shows maximum temperature differences of 4.3 • C at the peak temperature.The UST-Green and UST-Black reached a peak temperature of 62.1 • C and 66.4 • C, respectively.On the second day, the ambient temperature profiles at the peak show a maximum temperature difference of 2.6 • C. The AT-Green reached a peak temperature of 41.5 • C whereas the AT-Black reached a peak temperature of 44 • C and the ambient temperature from the weather station was 34.7 • C. The AT-Green and AT-Black at the peak were 6.8 • C and 9.3 • C hotter than Station AT.The underside surface temperature profile showed a maximum temperature difference of 3.3 • C at the peak temperature.

Figure 10 .
Figure 10.Thermal performance of AT-Green and UST-Green vs. AT-Black and UST-Black.

Figure 10 .
Figure 10.Thermal performance of AT-Green and UST-Green vs. AT-Black and UST-Black.
5 • C. The AT-Green reached a peak temperature of 39.9 • C while the AT-Black reached a peak temperature of 40.4 • C and the ambient temperature from the weather station was 33.4 • C. The AT-Green and AT-Black at the peak were 6.5 • C and 7 • C hotter than Station AT, respectively.The underside surface temperature profile showed maximum temperature differences of 1.9 • C at the peak temperature.The UST-Green and the UST-Black reached a peak temperature of 56.3 • C and 58.2 • C, respectively.On the second day, the ambient temperature profiles at the peak show a maximum temperature difference of 0.5 • C. The AT-Green reached a peak temperature of 40.3 • C whereas the AT-Black reached a peak temperature of 40.8 • C. The ambient temperature from the weather station was 34.9 • C. The AT11-Green and the AT-Black at the peak were 5.4 • C and 5.9 • C hotter than Station AT, respectively.The underside surface temperature profile showed maximum temperature differences of 2 • C at the peak temperature.In addition, the UST-Green and UST-Black reached a peak temperature of 54.2 • C and 56.2 • C. Energies 2018, 11, x FOR PEER REVIEW 10 of 13

Figure 12 .
Figure 12.Thermal performance of AT-Green and UST-Green versus AT-Black and UST-Black.

Figure 12 .
Figure 12.Thermal performance of AT-Green and UST-Green versus AT-Black and UST-Black.

Figure 14 .
Figure 14.Thermal performance of AT-Green and UST-Green versus AT-Black and UST-Black.

Figure 14 .
Figure 14.Thermal performance of AT-Green and UST-Green versus AT-Black and UST-Black.

Figure 14 .
Figure 14.Thermal performance of AT-Green and UST-Green versus AT-Black and UST-Black.

Table 1 .
PV module electrical features.

Table 2 .
. Enphase M250 Microinverters were installed under each PV panel to monitor the energy production of each individual solar panel.Enphase Energy Inc. is an energy technology company headquartered in Petaluma, CA, USA.The Enphase Microinverter specifications are presented in

Table 3 .
Data acquisition technical specifications.

Table 3 .
Data acquisition technical specifications.