Simulation of Voltage and Current Distributions in Transmission Lines Using State Variables and Exponential Approximation, ETRI Journal, vol.31, no.1, Feb. 2009, pp.42-50.

Simulation of Voltage and Current Distributions in Transmission Lines Using State Variables and Exponential Approximation

Panuwat Dan-Klang, and Ekachai Leelarasmee

Abstract :

A new method for simulating voltage and current distributions in transmission lines is described. It gives the time domain solution of the terminal voltage and current as well as their line distributions. This is achieved by treating voltage and current distributions as distributed state variables (DSVs) and turning the transmission line equation into an ordinary differential equation. Thus the transmission line is treated like other lumped dynamic components, such as capacitors. Using backward differentiation formulae for time discretization, the DSV transmission line component is converted to a simple time domain companion model, from which its local truncation error can be derived. As the voltage and current distributions get more complicated with time, a new piecewise exponential with controllable accuracy is invented. A segmentation algorithm is also devised so that the line is dynamically bisected to guarantee that the total piecewise exponential error is a small fraction of the local truncation error. Using this approach, the user can see the line voltage and current at any point and time freely without explicitly segmenting the line before starting the simulation.

Key word :

Exponential approximation, piecewise interpolation distributed state variable, transmission line.

DOI :

http://dx.doi.org/10.4218/etrij.09.0108.0523

Cite this :

Panuwat Dan-Klang, and Ekachai Leelarasmee, "Simulation of Voltage and Current Distributions in Transmission Lines Using State Variables and Exponential Approximation," ETRI Journal, vol. 31, no. 1, Feb. 2009, pp. 42-50.
http://dx.doi.org/10.4218/etrij.09.0108.0523

References :

1. G. Miano and A. Maffucci, Transmission Lines and Lumped Circuits, Academic Press, 2001.

2. Avant Corporation, Star-Hspice Manual, Avant Corporation, CA, 1998.

3. M. Kizilcay, "Alternative Transients Program Features," 2008 [cited; Available from: http://www.emtp.org/.

4. National Instruments Corporation, NI Multisim, 2008 [cited July 10, 2008]; Available from: http://www.ni.com/multisim/.

5. A.C. Antoulas, Approximation of Large-Scale Dynamical Systems, SIAM Advances in Design and Control, 2005.

6. A. Odabasioglu, M. Celik, and L.T. Pileggi, "Prima: Passive Reduced-Order Interconnect Macromodeling Algorithm," IEEE Trans. Computer-Aided Design of Integrated Circuits and Systems, vol. 17, no. 8. 1998, pp. 645-654.

7. D. Saraswat, R. Achar, and M.S. Nakhla, "Passive Reduction Algorithm for Rlc Interconnect Circuits with Embedded State-Space Systems (Press)," IEEE Trans. Microwave Theory and Techniques, vol. 52, no. 9. 2004, pp. 2215-2226.

8. H.W. Dommel, "Digital Computer Solution of Electromagnetic Transients in Single-and Multiphase Networks," IEEE Trans. Power Apparatus and Systems, vol. PAS-88, no. 4, 1969, pp. 388-399.

9. A. Ibrahim et al., "Transmission Line Model for Large Step Size Transient Simulations," Proc. of the 1999 IEEE Canadian Conf. on Electrical and Computer Engineering, vol. 2, 1999, pp. 1191-1194.

10. J. Ogrodzki, Circuit Simulation Methods and Algorithms, CRC Press, Inc., 1994.

11. Z. Tingdong, S.L. Dvorak, and J.L. Prince, "Lossy Transmission Line Simulation Based on Closed-Form Triangle Impulse Responses," IEEE Trans. Computer-Aided Design of Integrated Circuits and Systems, vol. 22, no. 6, 2003, pp. 748-755.

12. J.S. Roychowdhury, A.R. Newton, and D.O. Pederson, "Algorithms for the Transient Simulation of Lossy Interconnect," IEEE Trans. Computer-Aided Design of Integrated Circuits and Systems, vol. 13, no. 1, 1994, pp. 96-104.

13. E. Leelarasmee and P. Naenna, "A Distributed State Variables Approach to the Transmission Lines Transient Simulation," Proc. the 2004 IEEE Asia-Pacific Conference on Circuits and Systems, 2004, pp. 73-76.

14. G.A. Baker and P. G. Morris, Pade′ Approximant Part II: Extensions and Applications, Addison-Wesley, 1981.

15. S. Lin and E.S. Kuh, "Transient Simulation of Lossy Interconnects Based on the Recursive Convolution Formulation," IEEE Trans. Circuit and Systems, vol. 39, no. 11, 1992, pp. 879-891.

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