Formation of the Coefficient Matrix of a Large Dynamic System
- 1 January 1968
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Power Apparatus and Systems
- Vol. PAS-87 (1) , 80-83
- https://doi.org/10.1109/TPAS.1968.292259
Abstract
The coefficient matrix for the set of first-order differential equations that describe a dynamic system is formed from the block diagram or equations that describe the system. The method for accomplishing this is described in terms of matrix equations. Then the derivative of this coefficient matrix with respect to one of the system parameters is found in terms of the matrices used to form it. The coefficient matrix and its derivative can be used to find the eigenvalues of the system and the sensitivities of the eigenvalues to the system's parameters.Keywords
This publication has 3 references indexed in Scilit:
- Response of Large Power Systems to Cyclic Load VariationsIEEE Transactions on Power Apparatus and Systems, 1966
- Sensitivities of large, multiple-loop control systemsIEEE Transactions on Automatic Control, 1965
- Elimination Methods for Load-Flow StudiesTransactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems, 1961