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Energies 2014, 7(1), 365-384; doi:10.3390/en7010365

Three-Phase Harmonic Analysis Method for Unbalanced Distribution Systems

Department of Electrical Engineering, National Sun Yat-Sen University, Kaohsiung 80424, Taiwan
Department of Electrical Engineering, Cheng-Shiu University, Kaohsiung 83347, Taiwan
Author to whom correspondence should be addressed.
Received: 8 November 2013 / Revised: 18 December 2013 / Accepted: 9 January 2014 / Published: 20 January 2014
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Due to the unbalanced features of distribution systems, a three-phase harmonic analysis method is essential to accurately analyze the harmonic impact on distribution systems. Moreover, harmonic analysis is the basic tool for harmonic filter design and harmonic resonance mitigation; therefore, the computational performance should also be efficient. An accurate and efficient three-phase harmonic analysis method for unbalanced distribution systems is proposed in this paper. The variations of bus voltages, bus current injections and branch currents affected by harmonic current injections can be analyzed by two relationship matrices developed from the topological characteristics of distribution systems. Some useful formulas are then derived to solve the three-phase harmonic propagation problem. After the harmonic propagation for each harmonic order is calculated, the total harmonic distortion (THD) for bus voltages can be calculated accordingly. The proposed method has better computational performance, since the time-consuming full admittance matrix inverse employed by the commonly-used harmonic analysis methods is not necessary in the solution procedure. In addition, the proposed method can provide novel viewpoints in calculating the branch currents and bus voltages under harmonic pollution which are vital for harmonic filter design. Test results demonstrate the effectiveness and efficiency of the proposed method.
Keywords: unbalanced distribution system; harmonic analysis; harmonic filter design; THD unbalanced distribution system; harmonic analysis; harmonic filter design; THD
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Teng, J.-H.; Liao, S.-H.; Leou, R.-C. Three-Phase Harmonic Analysis Method for Unbalanced Distribution Systems. Energies 2014, 7, 365-384.

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