Three-Phase Harmonic Analysis Method for Unbalanced Distribution Systems

Jen-Hao Teng, Shu-Hung Liao and Rong-Ceng Leou
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Jen-Hao Teng: Department of Electrical Engineering, National Sun Yat-Sen University, Kaohsiung 80424, Taiwan
Shu-Hung Liao: Department of Electrical Engineering, National Sun Yat-Sen University, Kaohsiung 80424, Taiwan
Rong-Ceng Leou: Department of Electrical Engineering, Cheng-Shiu University, Kaohsiung 83347, Taiwan

Energies, 2014, vol. 7, issue 1, 1-20

Abstract: 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 (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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