Nonlinear development of matrix-converter instabilities
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 “...
| Main Authors: | , |
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| Format: | Article |
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Springer
2009
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| Online Access: | https://eprints.nottingham.ac.uk/1260/ |
| _version_ | 1848790571911479296 |
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| author | Cox, Stephen M. Clare, Jon C. |
| author_facet | Cox, Stephen M. Clare, Jon C. |
| author_sort | Cox, Stephen M. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:14:44Z |
| format | Article |
| id | nottingham-1260 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:14:44Z |
| publishDate | 2009 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-12602020-05-04T20:26:41Z https://eprints.nottingham.ac.uk/1260/ Nonlinear development of matrix-converter instabilities Cox, Stephen M. Clare, Jon C. 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. Springer 2009 Article PeerReviewed Cox, Stephen M. and Clare, Jon C. (2009) Nonlinear development of matrix-converter instabilities. Journal of Engineering Mathematics . ISSN 0022-0833 power electronics matrix converter instability http://dx.doi.org/10.1007/s10665-009-9325-8 doi:10.1007/s10665-009-9325-8 doi:10.1007/s10665-009-9325-8 |
| spellingShingle | power electronics matrix converter instability Cox, Stephen M. Clare, Jon C. Nonlinear development of matrix-converter instabilities |
| title | Nonlinear development of matrix-converter instabilities |
| title_full | Nonlinear development of matrix-converter instabilities |
| title_fullStr | Nonlinear development of matrix-converter instabilities |
| title_full_unstemmed | Nonlinear development of matrix-converter instabilities |
| title_short | Nonlinear development of matrix-converter instabilities |
| title_sort | nonlinear development of matrix-converter instabilities |
| topic | power electronics matrix converter instability |
| url | https://eprints.nottingham.ac.uk/1260/ https://eprints.nottingham.ac.uk/1260/ https://eprints.nottingham.ac.uk/1260/ |