ABSTRACT In this paper, a novel harmonic modeling technique by utilizing the concept of multi-terminal components is presented and applied to frequency scan analysis in multiphase distribution system. The proposed modeling technique is based on gathering the same phase busses and elements as a separate group (phase grouping technique, PGT) and uses multi-terminal components to model three-phase distribution system. Using multi- terminal component and PGT, distribution system elements, particularly, lines and transformers can effectively be modeled even in harmonic domain. The proposed modeling technique is applied to a test system for frequency scan analysis in order to show the frequency response of the test system in single and three-phase conditions. Consequently, the effects of mutual coupling and transformer connection types on three-phase frequency scan responses are analyzed for symmetrical and asymmetrical line configurations.
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nullO. Gul and A. Kaypmaz, "The Effects of Mutual Coupling and Transformer Connection Type on Frequency Response of Unbalanced Three Phase Electrical Distribution System," Energy and Power Engineering, Vol. 2 No. 4, 2010, pp. 238-247. doi: 10.4236/epe.2010.24035.
 IEEE Std. 519-1992, IEEE Recommended Practice and Requirements for Harmonic Control in Electric Power Systems, IEEE Press, New York, 1992.
J. Arrillaga, B. C. Smith and N. R. Watson, “Power System Harmonics Analysis,” John Wiley and Sons, New York, 1997.
IEEE Guide for Application of Shunt Power Capacitors, IEEE Standard 1036-1992.
W. Xu, X. Liu and Y. Liu, “Assessment of Harmonic Resonance Potential for Shunt Capacitor,” Electric Power System Research, Vol. 57, No. 2, 2001, pp. 97-104.
R. A. W. Ryckaert and A. L. Jozef, “Harmonic Mitigation Potential of Shunt Harmonic Impedances,” Electric Power Systems Research, Vol. 65, No. 1, 2003, pp. 63-69.
M. F. McGranaghan, R. C. Dugan and W. L. Sponsler, “Digital Simulation of Distribution System Frequency- Response Characteristics,” IEEE Transaction on Power Apparatus and Systems, Vol. PAS-100, No. 3, 1981, pp. 1852-1855.
IEEE Power Engineering Society, Tutorial on Harmonic Modelling and Simulation, IEEE Catalogue Number: 98TP125-0, Piscataway, 1998.
M. A. Laughton, “Analysis of Unbalanced Polyphase Networks by the Method of Phase Coordinates, Part 1 System Represantation in Phase Frame of Reference,” Proceeding of IEE, Vol. 115, No. 8, 1968, pp. 1163-1172.
W. E. Dillon and M.-S. Chen, “Power System Modelling,” Proceeding of IEE, Vol. 62, No. 7, July 1974, pp. 901-915.
L. G. Grainger and R. C. Spencer, “Residual Harmonic in Voltage Unbalanced Power System,” IEEE Transactions on Industry Applications, Vol. 30, No. 5, 1994, pp. 1398- 1405.
O. Gül, “Harmonic Analysis of Three Phase Distribution Networks by Utilizing Concept of Multi-terminal Components and Phase Coordinates,” Ph.D Dissertation, Istanbul Technical University, Istanbul, 2001.
O. Gül, A. Kaypmaz and M. Tanr??ven, “A Novel Approach for Three Phase Power System Modelling by Utilizing the Concept of Multi-Terminal,” International Review on Modelling and Simulations, Vol. 3, No. 1, February 2010, pp. 90-100.
D. E. Johnson, J. L. Hilburn and R. J. Johnson, “Basic Electric Circuit Analysis,” Prentice Hall, Englewood Cliffs, 1990.
CIGRE Working Group 36-05, “Harmonics, Characteristics Parameter, Methods of Study, Estimates of Existing Values in the Network,” Electra, No. 77, 1981, 35-54.
Z. Huang, W. Xu and V. R. Dinavahi, “A Practical Harmonic Resonance Guideline for Shunt Capacitor Application” IEEE Transactions on Power Systems, Vol. 22, No. 10, pp. 64.
T. A. Haskew, J. Ray and B. Horn, “Harmonic Filter Design and Installation: A Case Study with Resonance,” Electrical Power System Research, Vol. 40, No. 2, 1997, pp. 121-125.
CIGRE 36.05, WO CCO2 Report Guide for Assessing the Network Harmonic Impedances.