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

Three-Phase Harmonic Analysis Method for Unbalanced Distribution Systems

1,* email, 1email and 2email
Received: 8 November 2013; in revised form: 18 December 2013 / Accepted: 9 January 2014 / Published: 20 January 2014
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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
PDF Full-text Download PDF Full-Text [1308 KB, Updated Version, uploaded 21 January 2014 16:34 CET]
The original version is still available [1308 KB, uploaded 20 January 2014 11:58 CET]

Export to BibTeX |

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.

AMA Style

Teng J-H, Liao S-H, Leou R-C. Three-Phase Harmonic Analysis Method for Unbalanced Distribution Systems. Energies. 2014; 7(1):365-384.

Chicago/Turabian Style

Teng, Jen-Hao; Liao, Shu-Hung; Leou, Rong-Ceng. 2014. "Three-Phase Harmonic Analysis Method for Unbalanced Distribution Systems." Energies 7, no. 1: 365-384.

Energies EISSN 1996-1073 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert