Modeling and Stability Analysis of a Single-Phase Two-Stage Grid-Connected Photovoltaic System

Liying Huang, Dongyuan Qiu, Fan Xie, Yanfeng Chen and Bo Zhang
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Liying Huang: School of Electric Power Engineering, South China University of Technology, Guangzhou 510641, China
Dongyuan Qiu: School of Electric Power Engineering, South China University of Technology, Guangzhou 510641, China
Fan Xie: School of Electric Power Engineering, South China University of Technology, Guangzhou 510641, China
Yanfeng Chen: School of Electric Power Engineering, South China University of Technology, Guangzhou 510641, China
Bo Zhang: School of Electric Power Engineering, South China University of Technology, Guangzhou 510641, China

Energies, 2017, vol. 10, issue 12, 1-14

Abstract: The stability issue of a single-phase two-stage grid-connected photovoltaic system is complicated due to the nonlinear v - i characteristic of the photovoltaic array as well as the interaction between power converters. Besides, even though linear system theory is widely used in stability analysis of balanced three-phase systems, the application of the same theory to single-phase systems meets serious challenges, since single-phase systems cannot be transformed into linear time-invariant systems simply using Park transformation as balanced three-phase systems. In this paper, (1) the integrated mathematical model of a single-phase two-stage grid-connected photovoltaic system is established, in which both DC-DC converter and DC-AC converter are included also the characteristic of the PV array is considered; (2) an observer-pattern modeling method is used to eliminate the time-varying variables; and (3) the stability of the system is studied using eigenvalue sensitivity and eigenvalue loci plots. Finally, simulation results are given to validate the proposed model and stability analysis.

Keywords: photovoltaic system; modeling; stability analysis; grid-connected (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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