Keywords
two dimensional Laplace transform
How to Cite
Abstract
An analysis of transient and steady-state behaviours in PWM inverter circuits is connected with a calculation of processes with different frequencies. In order to analyze such systems an extension of ordinary differential equations with one time variable to partial differential equations with two time variables is used. The solution of a resulting partial differential equation is obtained by using the two-dimensional Laplace transform. The finding of a transient process is connected with the necessity of residuum calculation for part of poles. This feature depends on choose of a part of plane of the independent variables. An expression for a transient process is obtained for different intervals of voltage supply. References 3, figures 4.
References
Holmes D. Grahame, Lipo Thomas A. Pulse width modulation for power converters. Theory and practice. IEEE Press Series on Power Engineering. Hoboken, NJ: John Wiley, 2003. 744 p.
Korotyeyev I., Zhuikov V., Kasperek R. Electrotechnical systems. Calculation and analysis with Mathematica and PSpice. London: CRC Press, 2010. 256 p.
Ditkin V.A., Prudnikov A.P. Operational Calculus in Two Variables and its Application. London: Pergamon Press, 1962. 167 p.
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Copyright (c) 2018 I.Ye. Korotyeyev, M. Klytta