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Phase-plane techniques for the solution of transient-stability problems

Dharma Rao, N and Ramachandra Rao, HN (1963) Phase-plane techniques for the solution of transient-stability problems. In: Proceedings of the Institution of Electrical Engineers, 110 (8). pp. 1451-1461.

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The paper presents a graphical-numerical method for determining the transient stability limits of a two-machine system under the usual assumptions of constant input, no damping and constant voltage behind transient reactance. The method presented is based on the phase-plane criterion,1, 2 in contrast to the usual step-by-step and equal-area methods. For the transient stability limit of a two-machine system, under the assumptions stated, the sum of the kinetic energy and the potential energy, at the instant of fault clearing, should just be equal to the maximum value of the potential energy which the machines can accommodate with the fault cleared. The assumption of constant voltage behind transient reactance is then discarded in favour of the more accurate assumption of constant field flux linkages. Finally, the method is extended to include the effect of field decrement and damping. A number of examples corresponding to each case are worked out, and the results obtained by the proposed method are compared with those obtained by the usual methods.

Item Type: Journal Article
Publication: Proceedings of the Institution of Electrical Engineers
Publisher: IEEE
Additional Information: Copyright 1963 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Date Deposited: 27 Feb 2012 09:43
Last Modified: 27 Feb 2012 09:43
URI: http://eprints.iisc.ac.in/id/eprint/43089

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