A New Optimal Capacitor Placement Algorithm

摘要

In this paper a simple optimization scheme for capacitor placement is presented. We prove that this scheme can find the optimal solution under the condition that the capacitor unit placed in each iteration is relatively small. Two algorithms are proposed to compute power flow after a capacitor is added, one of which is the Gaussian Based algorithm, another of which is the tangent-based algorithm. The Gaussian-Based algorithm avoids the computation of admittance matrix inverse by a procedure like back-substitution, which just requires the load equivalence. The convergence is largely fastened by using suitable initialization during the process of optimization. The tangent-based algorithm, which makes use of the concept of Continuation Power Flow, approximates the power flow curve by the tangent line as the predictor, and then chooses the location with the largest power losses reduction to run the AC power flow as the corrector. The proposed algorithms are tested on 30 bus system.