Nonlinear development of matrix-converter instabilities

Cox, Stephen M.; Clare, Jon C.

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.

Citation

Cox, S. M., & Clare, J. C. (2009). Nonlinear development of matrix-converter instabilities. Journal of Engineering Mathematics, https://doi.org/10.1007/s10665-009-9325-8

• Journal Article Type: Article
• Publication Date: Jan 1, 2009
• Deposit Date: Mar 26, 2010
• Publicly Available Date: Mar 26, 2010
• Journal: Journal of Engineering Mathematics
• Print ISSN: 0022-0833
• Electronic ISSN: 0022-0833
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• DOI: https://doi.org/10.1007/s10665-009-9325-8
• Keywords: power electronics, matrix converter, instability
• Public URL: https://nottingham-repository.worktribe.com/output/1014281
• Publisher URL: http://dx.doi.org/10.1007/s10665-009-9325-8
• Related Public URLs: http://www.springerlink.com/content/100287/
• Additional Information: The original publication is available at www.springerlink.com