Real-Time Nonlinear Transient Simulation Based on Optimized Transmission Line Modeling

This paper proposes an optimized transmission line modeling (TLM) method for the real-time transient simulation of systems with multiple nonlinearities. The proposed method allows the simulation to be carried out with larger time-steps while maintaining the accuracy. A detailed case study of a nonlinear bridge circuit is presented to illustrate the advantages of the optimized TLM method in comparison with other methods. The new formulation is then implemented in real-time for the transient simulation of the nonlinear bridge. Real-time simulation results are validated by comparing them with experimental measurements. A second case study includes a power system with several surge arresters which is also simulated in real-time by the aid of the optimized TLM method and verified using offline simulation.

[1]  V. Dinavahi.  Transient analysis of systems with multiple nonlinear elements using TLM , 2004, IEEE Transactions on Power Systems.

[2]  Koji Fujiwara,et al.  Improvements of convergence characteristics of Newton-Raphson method for nonlinear magnetic field analysis , 1992 .

[3]  Timothy J. Flack,et al.  Application of domain decomposition and transmission line modelling techniques to 2D, time-domain, finite element problems , 1999 .

[4]  William H. Press,et al.  Numerical recipes in C , 2002 .

[5]  Juan J. Obregon,et al.  Newton-Raphson iteration speed-up algorithm for the solution of nonlinear circuit equations in general-purpose CAD programs , 1997, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[6]  Koji Fujiwara,et al.  Method for determining relaxation factor for modified Newton-Raphson method , 1993 .

[7]  Venkata Dinavahi.  Modeling and Simulation of Multiple Nonlinearities Using TLM , .

[8]  V. Dinavahi,et al.  A versatile cluster-based real-time digital simulator for power engineering research , 2006, IEEE Transactions on Power Systems.

[9]  Hermann W. Dommel,et al.  Nonlinear and Time-Varying Elements in Digital Simulation of Electromagnetic Transients , 1971 .

[10]  G. Joos,et al.  Simultaneous solution of control system equations in EMTP , 2006, IEEE Transactions on Power Systems.

[11]  J. Lobry,et al.  The transmission line modeling (TLM) method as a new iterative technique in nonlinear 2-D magnetostatics , 1996 .

[12]  L. Dube,et al.  Simulation of control systems in an electromagnetic transients program with TACS , 1977 .

[13]  C. Christopoulos,et al.  Modeling non-linear power electronic circuits with the transmission-line modeling technique , 1995 .

[14]  Jacques Lobry,et al.  Novel algorithm based on transmission-line modeling in the finite-element method for nonlinear quasi-static field analysis , 2003 .

[15]  Richard H. Gallagher,et al.  Optimum Structural Design: Theory and Applications , 1973 .

[16]  C. Christopoulos,et al.  Discrete transform technique for solving coupled integro-differential equations in digital computers , 1991 .