Improved efficient bounding method for DC contingency analysis using reciprocity properties

The efficient bounding method for DC contingency analysis is improved using reciprocity properties. Knowing the consequences of the outage of a branch, these properties provide the consequences on that branch of various kinds of outages. This is used in order to reduce computation times and to get rid of some difficulties, such as those occurring when a branch flow is close to its limit before outage. Compensation, sparse vector, sparse inverse and bounding techniques are also used. A program has been implemented for single branch outages and tested on the actual French EHV 650 bus network. Computation times are 60% of the efficient bounding method. The relevant algorithm is described in detail in the first part of this paper. In the second part, reciprocity properties and bounding formulas are extended for multiple branch outages and for multiple generator or load outages. An algorithm is proposed in order to handle all these cases simultaneously. >

[1]  R. Bacher,et al.  Approximate sparse vector techniques for power network solutions , 1991, Conference Papers Power Industry Computer Application Conference.

[2]  R. R. Shoults,et al.  Buffer system selection of a steady-state external equivalent model for real-time power flow using an automated sensitivity analysis procedure , 1988 .

[3]  M. G. Lauby,et al.  Evaluation of a local DC load flow screening method for branch contingency selection of overloads , 1988 .

[4]  W. F. Tinney,et al.  Sparsity-Oriented Compensation Methods for Modified Network Solutions , 1983, IEEE Transactions on Power Apparatus and Systems.

[5]  F.D. Galiana,et al.  Bound Estimates of the Severity of Line Outages in Power System Contingency Analysis and Ranking , 1984, IEEE Transactions on Power Apparatus and Systems.

[6]  V. Brandwajn,et al.  Efficient bounding method for linear contingency analysis , 1988 .

[7]  W. F. Tinney,et al.  An adaptive localization method for real-time security analysis , 1991 .

[8]  R. Bacher,et al.  Faster Local Power Flow Solutions: The Zero Mismatch Approach , 1989, IEEE Power Engineering Review.

[9]  William F. Tinney,et al.  Adaptive Reductions for Power Flow Equivalents , 1987, IEEE Transactions on Power Systems.

[10]  Vladimir Brandwajn,et al.  Partial Matrix Refactorization , 1986, IEEE Transactions on Power Systems.

[11]  O. Alsaç,et al.  Analytical and computational improvements in performance-index ranking algorithms for networks , 1985 .

[12]  W. F. Tinney,et al.  Sparse Vector Methods , 1985, IEEE Transactions on Power Apparatus and Systems.

[13]  V. Brandwajn,et al.  Complete Bounding Method for AC Contingency Screening , 1989, IEEE Power Engineering Review.