A boundary-frequency-based passivity optimization method for grid-connected inverters

CHEN Zhiyong; GU Jiang; LUO Wenhua; ZHANG Jiansong; HU Bihua; CHANG Xiqiang

doi:10.19783/j.cnki.pspc.251017

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A boundary-frequency-based passivity optimization method for grid-connected inverters

更新时间：2026-07-27

- A boundary-frequency-based passivity optimization method for grid-connected inverters
- Power System Protection and Control Vol. 54, Issue 12, (2026)
- 作者机构：
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- DOI：10.19783/j.cnki.pspc.251017
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- Published：2026
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CHEN Zhiyong, GU Jiang, LUO Wenhua, et al. A boundary-frequency-based passivity optimization method for grid-connected inverters[J]. Power System Protection and Control, 2026, 54(12).
DOI：

CHEN Zhiyong, GU Jiang, LUO Wenhua, et al. A boundary-frequency-based passivity optimization method for grid-connected inverters[J]. Power System Protection and Control, 2026, 54(12). DOI： 10.19783/j.cnki.pspc.251017.

摘要

目前，针对比例谐振 (proportional-resonant

PR) 控制器引入的相位滞后对并网逆变器输出导纳无源性的影响尚缺乏系统性研究，且已有相位补偿方法多依赖试凑，缺乏解析设计依据。为此，提出一种基于边界频率的无源性优化方法。首先，建立计及控制器相位滞后的逆变器输出导纳模型，归纳出两类无源区边界频率。基于两类边界频率间的相对关系，设计一种与 PR 控制器级联的一阶相位补偿器，将无源区拓展至奈奎斯特频率。在不增加传感器的条件下，进一步引入公共连接点 (point of common coupling

PCC) 电压前馈环节，增强边界频率处的无源鲁棒性。最后，基于一台 4.8 kW 逆变器样机开展实验验证，结果表明，所提方法在感性 / 容性弱电网条件及滤波器参数波动下，均能有效维持系统稳定运行。

Abstract

At present

there is a lack of systematic research on the impact of phase lag introduced by proportional-resonant (PR) controllers on the passivity of the output admittance of grid-connected inverters. Moreover

existing phase compensation methods are largely based on trial-and-error tuning and lack analytical design criteria. To address these issues

this paper proposes a boundary-frequency-based passivity optimization method. First

an inverter output admittance model that accounts for the phase-lag effect of the PR controller is established

and two types of boundary frequencies defining the passive region are identified. Based on the relative position of the two boundary frequencies

a first-order phase compensator cascaded with the PR controller is designed to extend the passivity region up to the Nyquist frequency. Furthermore

without requiring additional sensors

a point-of-common-coupling (PCC) voltage feedforward is introduced to enhance passivity robustness at the boundary frequencies. Finally

experiments on a 4.8 kW inverter prototype confirm that the proposed approach maintains stable operation under inductive/capacitive weak-grid conditions

as well as in the presence of filter parameter variations.

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references

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