Optimization of power flows in polyphase systems with significant source impedance

Abstract

The paper considers optimized compensation of loads in unbalanced polyphase networks under non-sinusoidal operation and with significant source impedance. After formulating the problem in a suitable Hilbert space terminology, the optimal solution is obtained using Lagrange multiplier method. The paper also proposes a general framework for obtaining simplified, reduced-order versions of the optimal compensator which depend on fewer parameters, making them easier to implement.