Automated simulating of power electronics systems is currently performed by means of nodal analysis method combined with implicit numerical integration schemes. Such method allows to find transient solutions, even when the integrated system is stiff, however, it leads to some difficulties when simulating big systems and sometimes to the deterioration of computations quality, that is reflected in decrease in accuracy, oscillations of solutions, which are not present in the initial model. This paper analyzes the shortcomings of this approach, and proposes to apply explicit numerical schemes with stability control on the integration step and with reduction of some of state variables. A brief description of the method of finding transient solutions and an example of the analysis are also given in the present paper.
Cite this paper
Y. Tanovitski and G. Kobzev, "The Simulating of Power Electronics Systems with the Use of Explicit Numerical Schemes," Applied Mathematics
, Vol. 4 No. 1, 2013, pp. 223-227. doi: 10.4236/am.2013.41A034
 “Simulation Program with Integrated Circuit Emphasis.”
 Y. Tanovitskiy and D. A. Izotov, “A Mathematical Model of the Electronics Circuits for Analysis Chaos and Bifurcation Phenomena in the Pulse Power Systems,” Technichna Electodinamica. Tematichni Vipusk: Problemi Suchasnoy Electrotechniki, 2004, pp. 80-85
 E. Hairer and G. Wanner, “Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems,” 2nd Edition, Springer-Verlag, Berlin, 1996.
 R. H. Merson, “An Operational Method for the Study of Integration Processes,” Proc. Symp. Data Processing, Weapons Res. Establ. Salisbury, Salisbury, 1957, pp. 110-125.
 I. S. Berezin and N. P. Zhidkov, “Computing Methods,” Pergamon Press, New York, 1973.
 R. Horn and C. Johnson, “Matrix Analysis,” Cambridge University Press, Cambridge, 1989.
 V. S. Baushev, Zh. T. Zhusubaliev and S. G. Mikhalchenko, “Stocastic Features in the Dynamic Characteristics of a Pulse-width Controlled Voltage Stabilizer,” Electrical Techonology, Vol. 1, 1996, pp.