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Energies 2018, 11(3), 550; https://doi.org/10.3390/en11030550

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

1
School of Automation, Northwestern Polytechnical University, Xi’an 710129, China
2
School of Electronics and Information, Northwestern Polytechnical University, Xi’an 710129, China
3
School of Traffic and Control Signal, Chang’an University, Xi’an 710072, China
*
Author to whom correspondence should be addressed.
Received: 14 December 2017 / Revised: 8 February 2018 / Accepted: 9 February 2018 / Published: 5 March 2018
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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. View Full-Text
Keywords: switching models; Taylor series; stability; transfer functions; shunt current injection switching models; Taylor series; stability; transfer functions; shunt current injection
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Khan, S.; Zhang, X.; Khan, B.M.; Ali, H.; Zaman, H.; Saad, M. AC and DC Impedance Extraction for 3-Phase and 9-Phase Diode Rectifiers Utilizing Improved Average Mathematical Models. Energies 2018, 11, 550.

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