Mathematical Model of Three-Phase Boost Converter

Abstract:

Now the nonlinear control strategy used by a lot of power electronic converters is not dependent on the mathematical model of the system. They are only based on the error of control variables to control the output voltage or other variables, and this leads to the shortcomings of poor control and not easy to optimize. The fundamental reason is that they are not based on the mathematical model of converter topology structure. This paper presents a new way to build mathematical model. The paper established the unified mathematical model of the three-phase Boost converter topology structure by studied the three-phase Boost converter topology structure deeply and based on the law of conservation of energy and combined with small-signal modeling analysis method, and done the systematic analysis for it. The analysis method is also applicable to other converter topology, such as the buck, buck-boost, etc., and the model not only can be used in the controller design, can also provide a theoretical basis for the applications of a new nonlinear control strategy.

• Periodical: Advanced Materials Research (Volume 507)
• Pages: 96-100
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.507.96
• Online since: April 2012
• Authors: Zhong Zhang, Wei Ming Tong
• Keywords: Converter, Mathematical Modeling, Negative Response, Non-Minimum Phase System, Small Signal Modeling

References

[1] Qian Zhaoming, WuXin, Lu Zhengyu. Status of Electromagnetic Compatibility Research in Power Electronics. International Power Eleetronics and Motion Control Conference: 46~57, (2000).

DOI: 10.1109/ipemc.2000.885330

[2] McConnell R A. Amplitue and energy spectra of transient test waveform[C]. IEEE International Symposium on Electromagnetic Compatibility, 2001: P243-P248.

[3] R. D. Middlebrook, Slobodan Cult. A general unified approach to modeling switching-converter power stages[C]. Proceeding of IEEE PESC, 1976: 8-10.

[4] Comes, D. Alvarez, Jq. Alvarez, J. Fradkov, A. Tracking control of the boost converter[C]. Control Theory and Applications, IEE Proceedings, 2004: 218-224.

DOI: 10.1049/ip-cta:20040203

[5] Yuanyuan, Liu Jinbo. Analysis of passivity-based sliding mode control strategy in DC/DC converters[C]. Chinese control conference, 2006: 171-174.

DOI: 10.1109/chicc.2006.280827