AC and DC Impedance Extraction for 3-Phase and 9-Phase Diode Rectifiers Utilizing Improved Average Mathematical Models

Shahbaz Khan, Xiaobin Zhang, Bakht Muhammad Khan, Husan Ali, Haider Zaman and Muhammad Saad
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Shahbaz Khan: School of Automation, Northwestern Polytechnical University, Xi’an 710129, China
Xiaobin Zhang: School of Automation, Northwestern Polytechnical University, Xi’an 710129, China
Bakht Muhammad Khan: School of Electronics and Information, Northwestern Polytechnical University, Xi’an 710129, China
Husan Ali: School of Automation, Northwestern Polytechnical University, Xi’an 710129, China
Haider Zaman: School of Automation, Northwestern Polytechnical University, Xi’an 710129, China
Muhammad Saad: School of Traffic and Control Signal, Chang’an University, Xi’an 710072, China

Energies, 2018, vol. 11, issue 3, 1-19

Abstract: Switching models possess discontinuous and nonlinear behavior, rendering difficulties in simulations in terms of time consumption and computational complexity, leading to mathematical instability and an increase in its vulnerability to errors. This issue can be countered by averaging detailed models over the entire switching period. An attempt is made for deriving improved dynamic average models of three phase (six-pulse) and nine phase (18-pulse) diode rectifiers by approximating load current through first order Taylor series. Small signal AC/DC impedances transfer functions of the average models are obtained using a small signal current injection technique in Simulink, while transfer functions are obtained through identification of the frequency response into the second order system. For the switch models in Simulink and the experimental setup, a small signal line to line shunt current injection technique is used and the obtained frequency response is then identified into second order systems. Sufficient matching among these results proves the validity of the modelling procedure. Exact impedances of the integral parts, in interconnected AC/DC/AC systems, are required for determining the stability through input-output impedances.

Keywords: switching models; Taylor series; stability; transfer functions; shunt current injection (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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