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Improved Loss Formula Computation by Optimally Ordered Elimination Techniques

The on-line economic dispatch of electric power systems is usually accomplished by use of loss formulas employing B coefficients. This paper shows how Kron's B coefficients can be calculated by Tinney's optimally ordered direct solution techniques which exploit the sparsity of the network admittance matrix. The new technique is much faster, more accurate, and more reliable than currently used iterative techniques. In addition, it rigorously handles systems with phase shifters and static elements to ground with no difficulty. Precise timing of sample system experiments (5 to 160 nodes) documents the greatly improved solution efficiency.