Optimal Real and Reactive Power Control Using Linear Programming

Abstract

This paper develops an improved real and reactive power control technique using linear programming (LP) for an integrated power system. The problem is decomposed into two subproblems comprising real (P) and reactive power (Q) modules, and, using a unified approach, the real power generation, voltage magnitude, and transformer tap settings are optimized. The objective function is the fuel cost which is minimized in both the P and Q modules, subject to the operating constraints. The P-Q decomposition combined with the LP formulation improve the computation speed. The paper has another advantage of using the same cost objective function for both modules, unlike other conventional methods which use the power loss function for the Q module. The LP formulation is used for both the P and Q optimization modules, utilizing the revised simplex method which is normally available in a mainframe computer.