Abstract

In electric grids with large photovoltaic (PV) integration, the PV system dynamics triggered by irradiance variation is an important factor for the power system stability. Although there are models in the literature that describe these dynamics, they are usually formulated as block diagrams or flowcharts and employ implicit equations for the PV generator, thus requiring application-specific software and iterative solution algorithms. Alternatively, to provide a rigorous mathematical formulation, a state-space representation of the PV system dynamics driven by irradiance variation is presented in this paper. This is the first PV dynamic model in entirely state-space form that incorporates the maximum power point tracking function. To this end, the Lambert W function is used to express the PV generator's equations in an explicit form. Simulations are performed in MATLAB/Simulink to evaluate and compare the proposed dynamic model over the detailed switching modeling approach in terms of accuracy and computational performance.

Highlights

  • C URRENTLY, power networks face difficulties from largescale integration of renewables

  • The latter approaches constitute the most accurate alternatives, since the maximum power point tracking (MPPT) dictates the dynamic response of the PV system under irradiance fluctuation and should not be ignored [1], [5]

  • To evaluate the proposed model, simulations are performed in MATLAB/Simulink for two case studies using the detailed switching approach as a benchmark; the results show a significant gain in execution time and computational complexity at the same level of accuracy

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Summary

INTRODUCTION

C URRENTLY, power networks face difficulties from largescale integration of renewables. (MPPT) algorithm and other control modules are simplified or neglected; the entire power circuit and control scheme are taken into account in [1] and [6]–[9] The latter approaches constitute the most accurate alternatives, since the MPPT dictates the dynamic response of the PV system under irradiance fluctuation and should not be ignored [1], [5]. A state-space representation is generally preferable, as it can be implemented into any software or platform and can be incorporated into a large power system study To this day there is no state-space model in the literature that includes the MPPT function; they either neglect the MPPT or are not expressed entirely as a system of differential/difference and algebraic equations (DAEs). To evaluate the proposed model, simulations are performed in MATLAB/Simulink for two case studies using the detailed switching approach as a benchmark; the results show a significant gain in execution time and computational complexity at the same level of accuracy

PROPOSED PV SYSTEM DYNAMIC MODEL
PV Generator Model
Average-Value Model of the Power Circuit
PI Controller Model
Complete PV System Dynamic Model
Initialization of the Dynamic Model
CASE STUDIES AND SIMULATION RESULTS
Sudden Increase in Irradiance
CONCLUSION

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