Dynamic stability of electric power systems. Final report, September 1978-January 1982
Multi-input and multi-output frequency domain methods are developed and implemented for the study of power system dynamic stability and robustness of stability due to system parameter perturbations. The linearized dynamic model for an interconnected power system is cast into the form of a multivariable feedback system. A number of different multiple-input, multiple-output (MIMO) feedback configurations can be realized. Each of these model the linearized dynamics of the interconnected power system and retain the sparsity of the system. The stability of the feedback system is determined through the application of the Nyquist encirclement criterion to the determinant of the return-difference matrix. Examples for a study system are presented which further illustrate the method. The practical aspects of the proposed approach for application to realistically-sized power systems are discussed. For the study of robustness of dynamic stability, perturbations in the operating point resulting from variations in power supply and demand quantities and eventually leading to the perturbations of the linearized feedback system are of primary interest. Three approaches are considered: (1) an approach based on matrix-norm robustness criteria, (2) an optimization-based approach using the return-difference matrix, and (3) an approach using stability and robustness results for the component connection model. The first and second approaches are illustrated using examples of single machine and an infinite-bus system.
- Research Organization:
- Systems Control, Inc., Palo Alto, CA (USA)
- DOE Contract Number:
- AC01-78ET29032
- OSTI ID:
- 5279176
- Report Number(s):
- DOE/ET/29032-T1; ON: DE85016426
- Resource Relation:
- Other Information: Portions of this document are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
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