Slow-Scale Bifurcation Analysis of a Single-Phase Voltage Source Full-Bridge Inverter with an LCL Filter

Fang Yang (), Weiye Bai, Xianghui Huang, Yuanbin Wang, Jiang Liu and Zhen Kang
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Fang Yang: College of Electrical and Control Engineering, Xi’an University of Science and Technology, Xi’an 710054, China
Weiye Bai: College of Electrical and Control Engineering, Xi’an University of Science and Technology, Xi’an 710054, China
Xianghui Huang: College of Electrical and Control Engineering, Xi’an University of Science and Technology, Xi’an 710054, China
Yuanbin Wang: College of Electrical and Control Engineering, Xi’an University of Science and Technology, Xi’an 710054, China
Jiang Liu: College of Electrical and Control Engineering, Xi’an University of Science and Technology, Xi’an 710054, China
Zhen Kang: Department of Electrical Technology, Xi’an Thermal Power Research Institute Co., Ltd., Xi’an 710054, China

Energies, 2024, vol. 17, issue 16, 1-17

Abstract: In high-power photovoltaic systems, the inverter with an LCL filter is widely used to reduce the value of output inductance at which a lower switching frequency is required. However, the effect on the stability of the system caused by an LCL filter due to its resonance characteristic cannot be ignored. This paper studies the stability of a single-phase voltage source full-bridge inverter with an LCL filter through the bifurcation theory as it is a nonlinear system. The simulation results show that low-frequency oscillation appears when the proportional coefficient of the system controller increases or the damping resistance decreases to a certain extent. The average model is derived to analyze the low-frequency oscillation; the theoretical analysis demonstrates that low-frequency oscillation is essentially a period in which doubling bifurcation occurs, which indicates the intrinsic mechanism of the instability of the full-bridge inverter with an LCL filter. Additionally, the limitation of the existing damping resistor design standards, which only considers the main circuit parameters but ignores the influence of the controller on system stability, is identified. To solve this problem, the analytical expression of the system stability boundary is provided, which can not only provide convenience for engineering design to protect the system from low-frequency oscillation but also expand the selection range of damping resistance in practice. The experiments are performed to verify the results of the simulation and theoretical analysis, demonstrating that the analysis method can facilitate the design of the inverter with an LCL filter.

Keywords: slow-scale bifurcation; Hopf bifurcation; system stability boundary; average model (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: 2024
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