Hilbert space techniques for evaluating trade-offs in reactive power compensation

The paper describes a set of Hilbert space-based analysis tools for reactive power compensation, and uses them to quantify the tradeoffs between line losses and compensator cost. Our method is illustrated on two polyphase examples, one involving a resistive circuit, and the other involving a nonlinear circuit (diode bridge rectifier) which is often encountered in industrial practice. The paper also addresses the issue of an efficient (order-recursive) computational procedure for the considered class of compensators.