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Energies 2017, 10(12), 2176; https://doi.org/10.3390/en10122176

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

School of Electric Power Engineering, South China University of Technology, Guangzhou 510641, China
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Received: 30 November 2017 / Revised: 13 December 2017 / Accepted: 14 December 2017 / Published: 19 December 2017
(This article belongs to the Special Issue PV System Design and Performance)
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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. View Full-Text
Keywords: photovoltaic system; modeling; stability analysis; grid-connected photovoltaic system; modeling; stability analysis; grid-connected
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Huang, L.; Qiu, D.; Xie, F.; Chen, Y.; Zhang, B. Modeling and Stability Analysis of a Single-Phase Two-Stage Grid-Connected Photovoltaic System. Energies 2017, 10, 2176.

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