volume | PIER Journals

Abstract

This paper presents comparative studies on different types of basis and testing functions used in Method of Moments (MoM) in terms of analytical complexity, convergence and condition number of the co-efficient matrix when applied to electrostatic problem of evaluating capacitance and charge distribution of conducting bodies. A thin conducting cylinder of finite length has been taken as a representative case study to evaluate the capacitance and charge distribution. The basis and testing functions which have been studied for this problem are pulse-delta, pulse-pulse, triangular-delta, triangular-pulse and triangular-triangular functions respectively. Numerical data on capacitance and charge distribution has been presented for each set of basis and testing functions in terms of condition number and convergence.

1. Harrington, R. F., Field Computation by Method of Moment, Macmillan, 1968.

2. Gibson, W. C., "The Method of Moments in Electromagnetics," Chapman & Hall/CRC, Taylor & Francis Group, 2008. Google Scholar

3. Das, B. N. and S. B. Chakrabarty, "Capacitance and charge distribution of two cylindrical conductors of finite length," IEE Proceedings of Measurement Technology, Vol. 144, No. 6, 280-286, 1997.
doi:10.1049/ip-smt:19971424 Google Scholar

4. Das, , B. N. and S. B. Chakrabarty, "Calculation of the electrical capacitance of a truncated cone," IEEE Transactions of Electromagnetic Compatibility, Vol. 39, No. 4, 371-374, 1997.
doi:10.1109/15.649838 Google Scholar

5. Chakraborty, C., D. R. Poddar, A. Chakraborty, and B. N. Das, "Electrostatic charge distribution and capacitance of isolated cylinders and truncated cones in free space," IEEE Transactions on Electromagnetic Compatibility, Vol. 35, No. 1, February 1993.
doi:10.1109/15.249403 Google Scholar

6. Das, B. N. and S. B. Chakrabarty, "Capacitance of metallic structures in the form of paraboloidal and spherical reflectors," IEEE Transactions of Electromagnetic Compatibility, Vol. 39, No. 4, 390-393, 1997.
doi:10.1109/15.649845 Google Scholar

7. Ghosh, S. and and A. Chakrabarty, "Estimation of capacitance of di®erent conducting bodies by the method of rectangular subareas," Journal of Electrostatics , Vol. 66, 142-146, 2008.
doi:10.1016/j.elstat.2007.11.003 Google Scholar

8. Das, B. N. and S. B. Chakrabarty, "Evaluation of capacitance and charge distribution of cylinder of finite length with top and bottom cover plates," Indian Journal of Radio & Space Physics, Vol. 26, 112-115, 1997. Google Scholar

9. Prarthan, D. M. and S. B. Chakrabarty, "Capacitance of dielectric coated metallic bodies isolated in free space," Electromagnetics, Vol. 31, No. 4, 294-314, 2011.
doi:10.1080/02726343.2011.568923 Google Scholar

10. Das, B. N. and S. B. Chakrabarty, "Rigorous analysis of the effect of dielectric coating on metallic bodies isolated in free space," Proceedings of INSA-A, Vol. 64-A-2, 137-148, 1998. Google Scholar

11. Chakrabarty, S. B., S. Das, and B. N. Das, "Capacitance of dielectric coated cylinder of finite axial length and truncated cone isolated in free space," IEEE Transactions on Electromagnetic Compatibility, Vol. 44, No. 2, 394-398, 2002.
doi:10.1109/TEMC.2002.1003406 Google Scholar

12. Wheless, W. and L. T. Wartz, "Introducing undergraduates to the moment method," IEEE Transactions on Education Introducing Undergraduates to the Moment Method, Vol. 38, No. 4, November 1995. Google Scholar

13. Ouda, M., "Efficient capacitance matrix computation of large conducting bodies using the characteristic basis function method," Journal of Applied Sciences, Vol. 10, No. 15, 1622-1626, 2010.
doi:10.3923/jas.2010.1622.1626 Google Scholar

Dr. Rizwan Habibbhai Alad

Dr. Soumyabrata B. Chakrabarty