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This paper proposes a binary particle swarm optimization (PSO) for optimal placement and sizing of fixed capacitor banks in radial distribution lines with nonsinusoidal substation voltages. The objective function includes the cost of power losses and capacitor banks with constraints which include limits on voltage, total harmonic distortion (THD) and sizes of installed capacitors. A binary PSO applied to a test system and solutions of the binary PSO are compared with those of heuristic numerical algorithm that is based on the method of local variations. Computer simulation shows that the harmonic components affect the optimal capacitor placement and sizing. the cost per unit of power losses and the capacitor annual cost/kvar. max min ,V V minimum and maximum permissible rms voltage . , m J shunt capacitor buses and number of buses.

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