Frequency-Domain Modal Analysis of the Oscillatory Stability of Power Systems With High-Penetration Renewables

Abstract

This paper presents a Generalized Modal Analysis (GMA) concept for the small-signal stability analysis of power systems with high penetration of Converter-Interfaced Generation (CIG). GMA quantitatively assesses interactions between various elements in the power system, offering intuitive and transparent physical interpretations. The method's versatility in selecting physical quantities at different input and output ports makes it broadly applicable. Based on the concept of GMA, the study further defines interaction quantification indices by selecting voltage ports, examining the impact of grid disturbances on power sources and the support from the power sources to the grid at connection points. Numerical simulations on modified 14-bus and 68-bus systems validate GMA's effectiveness in capturing the coupling of the dynamic characteristics between grid elements. This research provides a theoretical foundation and analytical framework for future analyses of power system stability with diverse power sources.

Sub‐synchronous oscillations in wind farms – an overview study of mechanisms and damping methods

“…There is a comprehensive description of this method in [10, 53] explaining its applications in the power system to perform low‐frequency oscillations and SSO analysis, respectively. Recently, an analysis method based on the modal analysis is proposed in [54] based on the source and impedance model derived in the frequency domain. The modal analysis is used to analyse the SSO in WFs, since it provides a detailed description of the system to identify the frequencies and damping of oscillations in a specific SSO mode, to find influencing factors, and to design SSO damping controllers (SSRDCs) [18].…”

“…The impedance model‐based method has some drawbacks, as discussed in Table 2. A combined analysis method based on the impedance model and frequency‐domain modal analysis is proposed in [54]…”

Electromagnetic Oscillation Origin Location in Multiple-Inverter-Based Power Systems Using Components Impedance Frequency Responses

“…According to [17], [29], nodal admittance model (NAM) and the aforementioned LIM are dual pairs. Therefore, the zeros of the determinants of system NAMs are calculated in [30]- [32] for stability analysis.…”

DQ impedance‐decoupled network model‐based stability analysis of offshore wind power plant under weak grid conditions

“…Many works have been reported to avoid RHP poles calculation for stability assessment of large‐scale power electronic‐based AC power systems [4, 21–32]. In [21], the theoretically‐derived dq impedance models of the GCIs and transmission lines are connected based on system topology, based on which a loop impedance model is derived.…”

“…However, the stability analysis methods presented in [25–27] are system state space‐based eigenvalues analysis instead of impedance‐based stability analysis. In [4, 28, 29], information about system structure is maintained by the nodal admittance matrix. System stability can then be assessed by the determinant of the nodal admittance matrix, and contributions of all components on system modes of interest can be calculated by participation factor analysis.…”