volume | PIER Journals

2013-05-29

A Derived Physically Expressive Circuit Model for Electrically Small Radiating Structures

Lap-Kun Yeung,

Dr. Lap-Kun Yeung

Dept Elect Engn

Calif State Univ Los Angeles

USA

Homepage

Ke-Li Wu

Dr. Ke-Li Wu

Department of Electronic Engineering

The Chinese University of Hong Kong

China

Homepage

Progress In Electromagnetics Research C, Vol. 40, 159-174, 2013

doi:10.2528/PIERC13031503

Abstract

Recently, a new radiation model for the partial element equivalent circuit (PEEC) technique has been proposed. This model makes use of the concept of generalized complex inductance to account for the radiation effect and preserve the (quasi-)static condition for the capacitance. Therefore, PEEC models with the radiation effect included consists of real-valued capacitors but complex-valued inductors. In this paper, a method for deriving a concise and physically intuitive equivalent circuit from such a radiating PEEC model is presented. The method is based on the Y-to-Δ transformation to eliminate all "unimportant" internal circuit nodes and results in an equivalent circuit with only a few nodes left. The equivalent circuit for a short electric dipole is first derived analytically to offer a simple explanation to the basic principles. The proposed method is then applied to several practical and electrically small antennas for more detailed demonstrations. Numerical results obtained from these examples suggest that a physically intuitive circuit model can potentially be derived for arbitrary radiating multi-conductor structures, showing the method is useful for analysis and design of modern integrated and electrically small antennas.

Citation

Copy Export

Lap-Kun Yeung, and Ke-Li Wu, "A Derived Physically Expressive Circuit Model for Electrically Small Radiating Structures," Progress In Electromagnetics Research C, Vol. 40, 159-174, 2013.
doi:10.2528/PIERC13031503

References

1. Ruehli, A. E., "Equivalent circuit models for three dimensional multiconductor systems," IEEE Trans. Microwave Theory Tech., Vol. 22, 216-221, March 1974.
doi:10.1109/TMTT.1974.1128204

2. Heeb, H. H. and A. E. Ruehli, "Three-dimensional interconnect analysis using partial element equivalent circuits," IEEE Trans. Circuits and Systems, Vol. 39, 974-982, November 1992.

3. Kochetov, S. V., M. Leone, and G. Wollenberg, "PEEC formulation based on dyadic Green's functions for layered media in the time and frequency domains," IEEE Trans. Electromagnetic Compatibility, Vol. 50, 953-965, November 2008.
doi:10.1109/TEMC.2008.2005837

4. Jayabalan, J., B.-L. Ooi, M.-S. Leong, and M. K. Iyer, "Novel circuit model for three-dimensional geometries with multilayer dielectrics," IEEE Trans. Microwave Theory Tech., Vol. 54, 1331-1339, June 2006.
doi:10.1109/TMTT.2006.871228

5. Zhang, X. and Z. Feng, "A new retarded PEEC model for antenna," IEEE 2008 Asia-Pacific Microwave Conf., Macau, 2008.

6. Sundberg, S. and J. Ekman, "PEEC modeling of antenna characteristics," Proc. IEEE Int. Symp. EMC, 580-585, Portland, 2006.

7. Yeung, L. K. and K.-L. Wu, "Generalized partial element Generalized partial element," IEEE Trans. Microwave Theory Tech., Vol. 59, 2377-2384, October 2011.
doi:10.1109/TMTT.2011.2163803

8. Balanis, C. A., Antenna Theory: Analysis and Design, John Wiley and Sons, New Jersey, 2005.

9. Antonini, G., D. Deschrijver, and T. Dhaene, "Broadband rational macromodeling based on the adaptive frequency sampling algorithm and the partial element equivalent circuit method," IEEE Trans. Electromagnetic Compatibility, Vol. 50, 128-137, February 2008.
doi:10.1109/TEMC.2007.913225

10. Song, Z., D. Su, F. Duval, and A. Louis, "Model order reduction for PEEC modeling based on moment matching," Progress In Electromagnetics Research, Vol. 114, 285-299, 2011.

11. Wang, J. and K.-L. Wu, "A derived physically expressive circuit model for multilayer RF embedded passives," IEEE Trans. Microwave Theory Tech., Vol. 54, 1961-1968, May 2006.
doi:10.1109/TMTT.2006.873621