Nonlinear development of matrix-converter instabilities

Cox, Stephen M. and Clare, Jon C. (2009) Nonlinear development of matrix-converter instabilities. Journal of Engineering Mathematics . ISSN 0022-0833

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Matrix converters convert a three-phase alternating-current power supply to a power supply of a different peak voltage and frequency, and are an emerging technology in a wide variety of applications. However, they are susceptible to an instability, whose behaviour is examined herein. The desired “steady-state” mode of operation of the matrix converter becomes unstable in a Hopf bifurcation as the output/input voltage transfer ratio, q, is increased through some threshold value, qc. Through weakly nonlinear analysis and direct numerical simulation of an averaged model, we show that this bifurcation is subcritical for typical parameter values, leading to hysteresis in the transition to the oscillatory state: there may thus be undesirable large-amplitude oscillations in the output voltages even when q is below the linear stability threshold value qc.

Item Type:Article
Additional Information:The original publication is available at
Uncontrolled Keywords:power electronics, matrix converter, instability
Schools/Departments:Faculty of Science > School of Mathematical Sciences
ID Code:1260
Deposited By:Wharton, Dr Janet
Deposited On:26 Mar 2010 16:11
Last Modified:23 Jun 2011 07:56

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