The analysis involved a comparison of simulation outcomes between direct connection and an MPPT charge controller. The simulation explored SAPV modelling with a charge controller and MPPT, examining factors such as performance ratio, losses, unused energy, and solar fraction, detailed in Table 4.
per year (kWh/year). Of this, 258,002 kWh/year has been utilized, resulting in a surplus of 69,929 kWh/year. However, there was an energy deficit of 2,550 kWh/year when the SAPV was directly connected.
Table 4
SAPV Energy Metrics and Battery Performance
Specification | Direct coupled SAPV | SAPV with MPPT controller |
Available Energy | 346264 kWh/year | 395616 kWh/year |
Used Energy | 258002 kWh/year | 260552 kWh/year |
Excess (Unused) | 69929 kWh/year | 113284 kWh/year |
Missing Energy | 2550 kWh/year | 0 kWh/year |
Specific Production | 1248 kWh/kWp/year | 1426 kWh/kWp/year |
Performance Ratio (PR) | 50.57% | 51.07% |
Solar Fraction (SF) | 99.02% | 100% |
Battery Aging (State of Wear) |
Cycles SoW | 97.8% | 97.4% |
Static SoW | 89.2% | 89.2% |
Battery Lifetime | 9.2 years | 9.2 years |
Table 5 detailed out monthly energy measurements and an annual summary. In January, the available energy was 30,725 kWh, with 22,129 kWh effectively utilized, 6,897 kWh remaining unused, and no energy losses. This trend, inclusive of solar radiation and consumption factors, remained consistent, maintaining a solar fraction (SolFrac) of 1.000 throughout most of the year. However, deficits in available energy during November and December led to missing energy (E_Miss) and lower solar fractions of 0.906 and 0.976, respectively.
The annual summary underscored that 69,929 kWh of the total available energy (346,264 kWh) was unused, constituting waste. In contrast, a substantial 260,552 kWh, equivalent to 99% of the available energy, is effectively consumed.
Table 5: Annual energy Production and consumption of Direct coupled SAPV
Figure 4 provided crucial metrics for evaluating a solar photovoltaic (SAPV) system's efficiency, including performance ratios and normalized energy production per kilowatt-peak of installed capacity. Specific losses, such as Lu (0.69 kWh/kWp/day) for unused energy due to a fully charged battery, Lc (1.62 kWh/kWp/day) for energy losses from PV-array inefficiencies, and Ls (0.18 kWh/kWp/day) for losses tied to system performance and battery charging, were considered. The total normalized energy production, factoring in these components, is 2.55 kWh/kWp/day. However, a detailed monthly breakdown of these metrics from January to November, crucial for a thorough assessment of the system's performance, was not provided in the current data.
Figure 5 displayed two significant performance metrics: the Performance Ratio (PR) at 0.506, assessing the system's efficiency in converting solar energy into electricity by comparing actual and expected energy production, and the Solar Fraction (SF) at 0.990, indicating that solar energy covered 99% of the total energy demand. The absence of specific monthly figures from January to November highlighted the need for this monthly data to obtain a thorough view of the system's annual performance.
Figure 6 detailed metrics related to a photovoltaic system, covering energy generation, conversion, storage, and losses. It included global horizontal irradiation, collector plane incident energy, and the IAM factor, resulting in an effective irradiation of 1788 kWh/m² on an 1878 m² collector.
The dataset explored the photovoltaic system's performance, highlighting a 14.90% efficiency under standard testing conditions and a total array nominal energy of 500,095 kWh. Various losses were considered, such as irradiance and temperature losses, module quality, mismatch loss, ohmic wiring, and efficiency reductions at the maximum power point. The effective energy output at the array was evaluated at 294,530 kWh, accounting for converter losses during operation, resulting in a total of 281,228 kWh. Additionally, the data examined battery storage efficiency and losses, revealing that 61% of the energy was directly utilized, with the remaining 39% being stored. A minor 0.07% balance was noted. Battery efficiency was impacted by 6.15%, resulting in a total battery efficiency loss of 1.15%. In summary, the data showed that 260,552 kWh of energy was supplied to meet user needs.
Figure 7 presented the normalized energy output per installed kilowatt-peak (kWp) in a photovoltaic (PV) system, detailing key aspects: normalized energy production per kilowatt-peak of installed capacity, 1.12 kWh/kWp per day of unused energy due to a fully charged battery (Lu), 1 kWh/kWp per day representing losses linked to PV-array inefficiencies (Lc), and 0.34 kWh/kWp per day for system losses and energy utilized for battery charging (Ls). The data also indicated the effective energy supplied to meet user requirements, quantifying at 2.57 kWh/kWp per day. However, specific numerical values for each month were not provided, emphasizing the necessity of including monthly data for a comprehensive evaluation of the system's annual performance.
Figure 8 highlighted key performance metrics: a Solar Fraction (SF) at 1.000, indicating complete fulfilment of energy demand through solar power, showcasing high efficiency; and a Performance Ratio (PR) with a value of 0.51, serving as an indicator of the system's effectiveness by comparing actual energy production to expected levels. These metrics provided essential insights into the system's operation and its capacity to generate power from solar energy while meeting energy demand.
Table 6 displayed various energy metrics on a monthly and annual basis, including values such as Global Horizontal Irradiation (GlobHor), Effective Global Solar Energy (GlobEff), Available Solar Energy (E_Avail), Unused Energy (EUnused), Missing Energy (E_Miss), Energy Supplied to the User (E_User), Energy Need of the User (E_Load), and the Solar Fraction (SolFrac). Throughout the year, the system consistently maintained a Solar Fraction of 1.000, indicating the efficient fulfilment of 100% of the total energy demand. Notably, there was no energy loss (E_Miss), with 113,284 kWh remaining unused (EUnused) out of the 395,616-kWh available. Moreover, the system successfully delivered 260,552 kWh of energy (E_User) to meet the user's energy requirements, demonstrating highly effective energy utilization.
Table 6: Annual energy Production and consumption of SAPV with MPPT
Figure 9 provided detailed data on energy production, conversion, and storage within a photovoltaic system, offering precise numerical values for each component. The system's efficiency under Standard Testing Conditions (STC) is recorded at 14.90%, generating an Array Nominal Energy of 500,095 kWh.
Various losses, including those due to irradiance level, temperature, module quality, mismatch losses, and ohmic wiring, resulted in a significant 27.71% of unutilized energy when the battery was at full capacity. The Effective Energy output at the array, accounting for converter losses, quantified at 295,492 kWh. Battery storage reflected a 60.8% direct utilization of generated energy, with 39.2% being stored. Battery efficiency experienced a 6.51% loss, comprising reductions due to charge/discharge current efficiency, gassing current, and battery self-discharge current. In summary, the energy supplied to meet user needs equals 260,552 kWh, aligning with the user's energy demand (Load). Notably, no missing energy was reported. This dataset provided a comprehensive and quantitative insight into the intricate energy dynamics and losses within the system.
Figure 10 demonstrated that adopting an MPPT converter resulted in an increase of unused energy to 113,286 kWh annually compared to 69,929 kWh with direct connection. The use of an MPPT converter capable of exporting power to the grid leads to a 62% enhancement in power harvesting from the same system. Additionally, the MPPT Controller eliminates the loss of 2550 kWh of energy in the months of November and December.