Predicting unstable modes in power systems: Theory and computations

Journal Article · Mon Nov 01 04:00:00 EST 1993 · IEEE Transactions on Power Systems (Institute of Electrical and Electronics Engineers); (United States)

DOI:https://doi.org/10.1109/59.260942· OSTI ID:5454233

Chiang, Hsiao Dong; Tong, Jianzhong; Miu, K N ^[1]

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1. Cornell Univ., Ithaca, NY (United States). School of Electrical Engineering

Prediction of the (critical) unstable mode of a power system due to a fault cleared immediately after the critical clearing time is useful, for example, in transient stability analysis and in relay setting. However, the existing methods of predicting (critical) unstable modes were derived mostly on heuristics and simulations. And these methods were derived for the classical power system model. In this paper, theoretical results for predicting unstable modes for general power system models are presented. It is shown that the unstable manifold of the controlling u.e.p. (instead of the coordinate of the controlling u.e.p.) determines the unstable mode. It is also shown that the unstable modes due to different fault-on trajectories with the same type-one controlling u.e.p. are the same. A computational scheme is developed to predict unstable modes for general power system models. To confirm the theoretical results developed in this paper, the scheme has been tested on a 50-generator, 145-bus system with promising results. Also, one application of the unstable mode predictions to transient stability analysis is illustrated.

• OSTI ID: 5454233
• Journal Information: IEEE Transactions on Power Systems (Institute of Electrical and Electronics Engineers); (United States), Journal Name: IEEE Transactions on Power Systems (Institute of Electrical and Electronics Engineers); (United States) Vol. 8:4; ISSN ITPSEG; ISSN 0885-8950
• Country of Publication: United States
• Language: English

Related Subjects

24 POWER TRANSMISSION AND DISTRIBUTION
240100* -- Power Systems-- (1990-)
ELECTRICAL FAULTS
ENERGY SYSTEMS
FORECASTING
MATHEMATICAL MANIFOLDS
POWER SYSTEMS
STABILITY