Contingency selection theory for steady-state security assessment of power systems
This thesis presents the theory and method for systematically finding the performance index (PI) which is used in Automatic Contingency Selection (ACS) algorithms. The purpose of the ACS algorithm is to determine whether a contingency has an impact on the security of the power system (such as out-of-limit conditions in the post-contigency operation) or not, in a computationally efficient manner. Since this is a binary decision problem, then the choice of the PI is equivalent ot the selection of a decision function which measures the impact of each contingency on the system performance in terms of giving out-of-limit conditions. This thesis shows how to select the PI together with a threshold value J/sub th/ so as to minimize the probability of misclassifying the contingency. The main contribution of this thesis is that it gives the theoretical foundation for designing more effective ACS algorithms. It shows that the selection of the PI is based on a statistical decision criteria such as the Bayes Risk Criterion, since one needs to examine the risk involved in misclassifying the contingency. This approach is used to find the PI for monitoring both the line flow, bus voltage and generator VAR limits. It is shown that when formulating the problem in the space of voltage magnitudes and phase angles then the problem of finding the PI which satisfies a specific contingency selection criteria can be stated as a set imbedding and volume maximization problem. These theoretical results are applied to the problem of tuning the weighting coefficients in the currently used PI's for analyzing either the real power flow or node voltage magnitude problems in order ot guarantee proper classification of the contingencies in terms of minimizing the probabilities of missing critial contingencies and false alarms.
- OSTI ID:
- 6344677
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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