Journal of Shanghai Jiao Tong University

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Linear Time-Periodic Modeling and Stability Analysis of a Wind-Photovoltaic-Storage Integrated System Under Grid Voltage Imbalance Conditions

  

  1. 1. Northwest Branch of State Grid Corporation of China, Xi’an 710048, China;

    2. School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

Abstract:

Under grid voltage imbalance conditions, the complex interactions among equipment in integrated wind-photovoltaic-energy storage systems significantly increase the risk of electromagnetic oscillations. To suppress negative-sequence voltage and enhance system stability under such conditions, this paper first establishes a linear time-periodic (LTP) model tailored for wind-PV-storage systems. This method fully accounts for time-varying coupling quantities under voltage imbalance, offering higher accuracy compared to classical linear time-invariant (LTI) analysis. Based on the LTP model, the paper comprehensively compares the small-signal stability of the system when grid-connected converters adopt either a positive-sequence single phase-locked loop (PLL) or a positive/negative-sequence dual PLL, guiding the applicable scope of these two control strategies and proposing an adaptive PLL switching control. Furthermore, it investigates the impact of the negative-sequence reactive current coefficient, as specified by national standards for renewable energy grid integration, on the system’s small-signal stability. This study provides guidance for selecting the negative-sequence reactive current coefficient, achieving effective suppression of negative-sequence voltage while ensuring sufficient stability margins.

Key words: wind-photovoltaic-storage hybrid power generation system; grid voltage imbalance conditions, linear time-periodic (LTP) model; dual-sequence phase-locked loop, negative-sequence reactive current coefficients