Understanding Impedance Ratio Criteria for Converter-Based AC Power System

TL;DR

This paper critically examines impedance ratio criteria for assessing small-signal stability in converter-based AC power systems, proposing a new criterion based on the logarithmic derivative of transfer functions for improved mode identification.

Contribution

It provides a systematic analytical framework for impedance models, evaluates the limitations of existing IRCs, and introduces a novel stability criterion based on the logarithmic derivative of MFs.

Findings

SISO analysis sufficiency when the mapping function is observable.

Limitations of IRCs with right-half plane pole emergence.

Proposed logarithmic derivative criterion for direct mode identification.

Abstract

Nyquist criterion-based impedance ratio criteria (IRCs) have been widely applied for inspecting the risk of small-signal instability among converter-based AC power systems. Aided by a comparative study on voltage source converter, including the single-input single-output (SISO) and multiple input multiple output (MIMO) analyses in both the dq and the sequence domain, two aspects are emphasized in this paper: 1) the sufficiency of SISO analysis when the mapping function (MF) is observable to potentially unstable modes, and 2) the inconvenience of IRCs with an unintended right-half plane pole emergence of MF due to the source-load partition. The strictness of analyses is proved by a systematical deduction of explicit analytical impedance models using the state space. Moreover, a novel criterion that relies on the logarithmic derivative of MFs is proposed, which can identify the system modes directly, serve as an alternative to IRCs, and be extended to other transfer function-based stability analyses.