The problem of harmonic compensators location

Abstract

Current harmonics can be eliminated in each individual load. Such a compensation generally must be expensive. Harmonics are partly compensated between individual consumers. Therefore, the compensation of group of consumers seems to need lower cost than individual compensation. In the case of group compensation there are two possible approaches. The first approach uses compensators controlled by a current in common buses supplying a cluster of consumers. In the second approach a voltage waveform is chosen as a control data, the compensator should maintain a sinusoidal voltage. Such an approach needs not many compensators to ensure a proper quality of energy delivered. The purpose of the presented paper is to formulate the optimization problem for compensators location in power systems. It is shown that the problem leads to combinatorial optimization. The Travelling Salesman Problem and 0-1 Knapsack Problem are related to the presented combinatorial problem, but it seems, that there is not solved the combinatorial optimization problem which is identical to the considered one.