Published December 6, 2022 | Version v1

Lyapunov-based Transient Stability Analysis

Description

The paper presents an analytical control solution to the problem of transient stabilization of lossy multi-machine power systems. Firstly, a new form of control Lyapunov function candidates with a flexible potential-energy-like term is proposed. This is achieved mainly by introducing an auxiliary state that contributes to the derivation of a cross-term. Based on the Lyapunov function candidates, a new control law ensuring asymptotic stability of the desired closed-loop operating equilibrium is proposed. Finally, a case study on the model of a two-machine system to illustrate the effectiveness of the proposed control solution is presented.

Notes

2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. J. Gao, B. Chaudhuri and A. Astolfi, Lyapunov-based Transient Stability Analysis, in IEEE 61st Conference on Decision and Control (CDC), Cancun, Mexico, 2022, pp. 5099-5104, doi: 10.1109/CDC51059.2022.9992811.

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Additional details

Funding

European Commission
KIOS CoE - KIOS Research and Innovation Centre of Excellence 739551