Category Archives: solar energy

Suboptimal Generation in a Solar PV System under Shading Conditions

If you have a solar PV system that uses a string inverter and does not produce the expected output when certain solar panels are shaded then you may find this article of interest.

Modern solar systems utilize half-cut panels equipped with bypass diodes, alongside string inverters capable of maximum power power tracking (MPPT). Despite the inclusion of these components it’s often observed that some systems fail to deliver optimal power output under shading conditions. Personally, I have a rooftop system where certain panels are shaded in the morning. Upon observation, it became apparent that this system was generating significantly lower output when only a couple of panels were affected by shading. In response to this issue, I conducted a root cause analysis, the findings of which are detailed in this blog post. It is my hope that sharing these results will assist others facing similar challenges.

Configuration:

My system is rated at 7.56 kW and utilizes Waree 540 W Mono PERC half-cut panels paired with a Havells on-grid inverter. The configuration comprises 14 panels arranged in a single string. The panels are oriented southwards and tilted at 18 degrees, aligning with the installation location in Pune, situated at a latitude of 18 degrees north.

Observations:

Despite only a portion of two panels being shaded in the morning, the system exhibited significantly low power generation. For instance, at 9:12 AM on January 15th, the power output was recorded at 0.36 kW, with a current of 0.5 A and a string voltage of 626 V. However, within a span of just ten minutes, the power output surged to 3.25 kW by 9:22 AM, accompanied by a current increase to 6.6 A, while the voltage dropped to 506 V.

Inverter Generation

The graph distinctly illustrates a sudden increase in both current and power output around 9:22 AM. Prior to this time, shading affected two panels in the string. However, after 9:22 AM, only one panel remained partially shaded, with the shadow covering solely the bottom portion of the panel. Additionally, a marginal increase in voltage can be observed following 9:22 AM. The voltage peaked around 9:38 AM when all panels were free from shadows.

Discussion

It is generally expected that modern inverters can efficiently manage a string of solar panels equipped with half-cut cells and bypass diodes, ensuring operation at the optimal power point even when some panels are shaded. Bypass diodes are designed to conduct for the set of cells affected by shadows, resulting in a lower voltage output of the string compared to when no shadows are present. However, the current output should remain consistent with the solar insolation levels for the panels in sunlight. For example, if the maximum power point (MPP) current of panels in sunlight is 6 A and the MPP current of shaded panels is 0.6 A, the string should ideally operate at a current close to 6 A while bypass diodes are activated for shaded panels. Consequently, the voltage output of the string must be lower than usual due to the activation of bypass diodes, assuming that the number of shaded panels is less than half of the total panels in the string.

However, observations from my installation revealed a different scenario. Despite two panels being partially shaded, the voltage was unexpectedly high, while the current was low. Subsequently, there was a sudden increase in current and power output, accompanied by a decrease in string voltage, when the second panel emerged from the shadow, leaving only one panel shaded.

The MPPT function in an inverter is designed to sweep the voltage/current range to achieve the maximum power point (MPP). However, it’s important to note that when shadows are present, there isn’t a single MPP for a string of panels. Each panel within the string may have its own local MPP, while the string as a whole has a global MPP. In our observation, the inverter we employed struggled to track the global MPP when more than one panel was shaded. Instead, it operated at a current corresponding to the shaded panels, resulting in a high string voltage and low power output. Only when only one panel remained in shadow did the MPP tracker finally adjust to operate the string at the global MPP. However, until this adjustment occurred, the string operated well below its optimal capacity.

Conclusion

It is important to assess how well an inverter can track MPP when certain number of panels are shaded. While the datasheets of most inverters lack detailed information in this regard, it may be useful to consider white papers by manufacturers. Fronius is one brand that describes the MPPT operation in detail. However, many popular (and inexpensive) inverters in the market do not publish any details. It is worth evaluating if investing in a better brand will yield better returns in the long term.

Solar Electricity Generation in One Year

Our 12.24 kW rooftop solar PV system in Pune, India, recently completed one year of operation. This blog-post reports the total electricity generation as well as the monthly numbers. It also compares the generation with theoretical estimates for each month. The total generation from July 1, 2018 to June 30, 2019 was 17,791 kWh. The average daily generation was 48.7 kWh/day. Since this generation was for a 12.24 kW system, the efficiency is calculated to be 3.98 kWh/kW/day. The estimated values based on insolation data for Pune are, 18,276 kWh for yearly generation and an estimated efficiency of 4.09 kWh/kW/day.

Monthly Generation Statistics

Month Actual and (expected) Generation (kWh) Efficiency (kWh/kW/Day)
July 2018 800 (993) 2.11
August 2018 953 (1031) 2.51
September 2018 1330 (1283) 3.65
October 2018 1473 (1632) 3.88
November 2018 1375 (1681) 3.74
December 2018 1249 (1643) 3.29
January 2019 1629 (1796) 4.29
February 2019 1728 (1615) 5.04
March 2019 2052 (1913) 5.41
April 2019 1868 (1805) 5.09
May 2019 1925 (1713) 5.07
June 2019 1399 (1171) 3.69

Observations:

  • March, April, and May are predictably the best months for electricity generation with ideal conditions: almost no cloud cover, low humidity, and good number of daylight hours with sun rising almost to the zenith point.
  • July and August, with monsoon at its peak, are the worst months, in spite of long daylight hours.
  • Generation  in October, November and December was worse than expected. The primary reason for this was a lack of proper cleaning. In the preceding months, rainy season had ensured that the panels remained clean. The dust accumulating on the panels reduced generation significantly. In December, the generation was 24% lower than the theoretically expected value. This was corrected in mid January with a strict, biweekly, cleaning schedule.

Return on Investment (ROI)

During this period, the savings in electricity bill amounted to ₹ 2,88,525/-. The system cost was ₹ 7,63,000/-. There were no maintenance expense. The ROI is calculated to be 37.8%. This implies a payback period of less that 3 years. We did not use any subsidy from the government while purchasing the system. An installation that makes use of subsidy can enjoy an even shorter payback period.

Conclusion

An average generation of about 4 kWh/kW/day is close to the theoretical value of 4.09 for Pune. This slight reduction (3%) is primarily due to the accumulation of dust and a lack of cleaning. A strict biweekly cleaning schedule is necessary to ensure efficient generation. In any case, a generation of 4kWh/kW/day can be used as a reference to estimate generation of a solar PV system in Pune. This number will be valid for most regions in India, except the far north, north east and some hill-stations in the western ghats. Generation will be slightly higher in the desert region of Rajasthan and at many locations in the northern Maharashtra and parts of Gujarat. The payback period and ROI for this system is one of the best that I have seen reported. This is thanks to optimal sizing of the system in a region with high tariff for electricity.

Reference: Solar Generation Calculator

How to Size a Rooftop Solar Power System

A rooftop solar power system requires significant investment. The return on investment (ROI) of this system is dependent on selecting the right size for the system. The suppliers/providers of such systems tend to over-size them because a larger system implies a higher price and therefore higher profits for the provider. Their goal is rarely to optimize the ROI for the customer. This blog post aims to guide the customer in selecting the correct size for their rooftop solar power system.

Executive Summary:

Size the system such that the yearly generation is slightly less than the yearly consumption. For most locations in India, a rooftop solar system will generate 4 kWh/kW/day, when averaged over a year. The size of the rooftop solar system in kW is calculated to be: yearly_consumption/(4 * 365).  Therefore a 20,000 kWh yearly consumption will require a 13.7 kW system. If the available space cannot accommodate this system then it is recommended to go for a lower size. Never try to ‘fit’ a large system by cramping together rows of panels. This is because  shadows will reduce the output significantly. The solar system needs 8 shadow-free hours in the middle of the day (8 am. to 4 pm.) for optimal generation, even during the winter months.

Assumptions:

  1. The discussion applies to a system in India but could be extended to systems in other parts of the world.
  2. The electricity utility company supports net-metering for rooftop solar systems.
  3. The rate at which the utility company purchases excess electricity is significantly lower than the marginal rate at which the consumer purchases electricity.
Rows of Tilted Solar Panels in USA
Rows of Tilted Solar Panels in the USA (Credits: Pixabay)
Tilted Solar Panels in Pune, India
A Tilted Single Row with 4×2 Arrangement of 330 W Solar Panels in Pune, India

Step-by-Step Procedure to Size the System:

  • Identify the application which will be supplied solar power. For instance, lifts (elevators), common lighting, water pumps, air conditioning, etc.
  • Collect monthly bills for one full year and note the consumption in kWh for each month. Calculate the yearly consumption in kWh.
  • The yearly consumption is the target yearly generation for the solar photo-voltaic (PV) system.
  • The capacity of a solar PV system is measured in kilowatts (kW). A grid-tied system consists of solar panels and an inverter. The solar panels generate DC output while the inverter output is AC. The inverter and panels generally have the same capacity. So, a system with solar panels of 10 kW DC capacity should use an inverter with 10 kW AC capacity. However, a 10 kW DC system will rarely generate 10 kW output since the solar panel rating is specified for ideal conditions. Such conditions are rarely present in practice unless the installation is in the Sahara desert and the sun is shining directly overhead. Hence, it is perfectly safe to use an inverter that has 10 to 15% lower capacity than the solar panels.
  • Calculate solar panel capacity (DC kW) using the following formula:

Capacity (kW) = (target_ yearly_generation in kWh)/(365 * 4)

In this formula, the number ‘4’ is the typical generation in kWh/kW/day for most locations in India. This generation is for a system with solar panels facing south, tilted at ‘latitude’ degrees. For instance, latitude for Pune is 18 degrees and hence the solar panels should be tilted at 18 degrees to ground. This website provides a good estimate of monthly and yearly generation for most locations in the world.

  • This capacity is the target capacity for the system. Never buy a system with larger capacity.
  •  Measure the area (in square meters) on the roof that will be used to install solar panels. The area should be with a clear view of the south and there should be no obstructions such as trees, water tanks, elevator rooms, etc. Note that parapet walls are not a concern since the panels can be installed elevated.  The idea is to avoid shadow on panels from 8 AM to 4 PM in all seasons, as far as possible.
  • Multiply the area by power density to obtain the approximate capacity of panels in kW that can be installed in the area. The power density depends on several factors. If multiple rows of tilted solar panels are installed then the panels in front cast a shadow on the back row. An adequate distance is necessary between rows to avoid the shadow. The angle of tilt is generally the same as the latitude of the location. Higher the latitude, higher the tilt and hence more distance is necessary between rows, implying a lower power density.
  • For small systems, say less than 4kW, a single row of panels may be sufficient (see the picture above). For such a configuration, a power density of 170 W/m2 can be used to calculate the system size. For larger systems with multiple rows of panels, following table summarizes approximate power density for different latitudes:
Latitude Power Density
0 170
5 157
10 142
15 127
18 117
20 111
25 93
30 75
  • For instance, in Pune, India, with a latitude of 18 degrees, an area of 100 m2 can support a 11.7 kW installation. If the target capacity calculated based on consumption is 15 kW, this space will be insufficient. Cramping a 15 kW system will result in shadows that will reduce generation. A low generation implies a correspondingly low ROI. In this situation, it will be best to install a system with 11.7 kW (DC) capacity. The inverter, or the AC capacity of the system, should be chosen to be 10 kW.

Note:

This blog-post will help the customer optimize solar system size for most installations. It should also help while verifying proposals from solar installers. While the information provided will apply to most situations, there are cases when deeper analysis may be necessary. For instance, at certain locations, it may be better to install panels without a tilt. The power density in this case will be the same as that for latitude 0.

Reference: Calculators for Solar Generation and System Sizing