Use of the Exponential of the System Matrix to Solve the Transient Stability Problem
- 1 January 1970
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Power Apparatus and Systems
- Vol. PAS-89 (1) , 83-88
- https://doi.org/10.1109/tpas.1970.292673
Abstract
A set of differential equations describing the dynamics of the transmission system and connected machines, including the voltage regulators and governors, is formed. The terms of these equations are divided into two groups, the linear terms and the nonlinear terms. The solution of the set of equations as a function of time can then be expressed as a function of the exponential of the matrix formed by the linear terms and an integral. The advantages and disadvantages of this method of approach for solving the transient stability problem on a digital computer are discussed.Keywords
This publication has 4 references indexed in Scilit:
- New Integration Algorithms for Transient Stability StudiesIEEE Transactions on Power Apparatus and Systems, 1970
- Inverse iteration method for finding eigenvectorsIEEE Transactions on Automatic Control, 1969
- Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz ConstantsSIAM Journal on Numerical Analysis, 1967
- Sensitivities of large, multiple-loop control systemsIEEE Transactions on Automatic Control, 1965