研究目的
To formulate the solution of the implicit model of series-parallel photovoltaic arrays as an optimization problem with restrictions for all the variables and to evaluate the performance of deterministic and metaheuristic optimization algorithms in reproducing the current–voltage (I–V) curves of photovoltaic generators under homogeneous and non-homogeneous conditions.
研究成果
The deterministic optimization methods (TRD and LMA) can solve the optimization problem for small, medium, and large generators operating in homogeneous and partial shading conditions, reproducing the generator I–V curves accurately. Metaheuristic algorithms (WDE and SOS) are not able to solve the optimization problem in all cases, showing significant errors for medium and large generators under partial shading conditions. The results suggest that the solution of the implicit model of SP generators should be performed with deterministic algorithms.
研究不足
The metaheuristic optimization methods present greater errors and computation times than the deterministic methods in the I–V curve’s calculation, especially for medium and large generators under partial shading conditions. The random selection of parameter values in metaheuristic algorithms may affect their performance.
1：Experimental Design and Method Selection
The paper evaluates four optimization algorithms (two deterministic and two metaheuristics) to solve the optimization problem of the implicit model of SP photovoltaic arrays. The deterministic algorithms are Trust-Region Dogleg (TRD) and Levenberg-Marquardt (LMA), while the metaheuristic algorithms are Weighted Differential Evolution (WDE) and Symbiotic Organism Search (SOS).
2：Sample Selection and Data Sources
The study uses simulation and experimental data from small, medium, and large photovoltaic generators formed by Trina Solar TMS-PD05 de 270 W modules under homogeneous and non-homogeneous conditions.
3：List of Experimental Equipment and Materials
The test bench includes a PV module with Matlab, a programmable electronic load BK Precision 8500, and a Trina Solar TMS-PD05 de 270 W PV module. The SDM parameters and bypass diodes parameters are calculated from experimental I-V curves.
4：Experimental Procedures and Operational Workflow
The performance of the optimization methods is validated with experimental data obtained under homogeneous and partial shading conditions. The experimental validation considers two cables AWG 12 of 28.96 m each, introducing losses represented by resistance in series with the module.
5：Data Analysis Methods
The evaluation criteria include computation time, root mean square error (RMSE), and the number of evaluations of the objective function (Feval). The solutions obtained with the optimization methods are compared with the solution of the equivalent electrical circuit (EEC) of each generator.
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