Nonlinear development of matrix-converter instabilities

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

Full text not available from this repository.

Official URL: http://dx.doi.org/10.1007/s10665-009-9325-8

Abstract

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

RIS ID:

https://nottingham-repository.worktribe.com/output/1014281

Additional Information:

The original publication is available at www.springerlink.com

Keywords:

power electronics, matrix converter, instability

Schools/Departments:

University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences

Identification Number:

https://doi.org/10.1007/s10665-009-9325-8