학술논문

Contraction Region Analysis for Power Systems
Document Type
Conference
Source
2019 IEEE Texas Power and Energy Conference (TPEC) Texas Power and Energy Conference (TPEC), 2019 IEEE. :1-6 Feb, 2019
Subject
Power, Energy and Industry Applications
Power system stability
Measurement
Stability criteria
Jacobian matrices
Trajectory
Convergence
stability
contraction region
contraction metric
Language
Abstract
This work is fully devoted to contraction theory-based analysis of stability. We discuss the contraction region and contraction metric that define for the power system model. The classical model of power system is contracting with respect to the proposed metric. The stability of nonlinear power system is proved by studying the properties of its Jacobian matrix. We demonstrate the necessary conditions for the existence of contraction for underlying the proposed power system model. The results of our simulations show that the contraction region exists. All eigenvalues of the Jacobian matrix are simulated to capture the behavior of a two-machine power system.