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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Shahbaz Khan & Xiaobin Zhang & Bakht Muhammad Khan & Husan Ali & Haider Zaman & Muhammad Saad, 2018. "AC and DC Impedance Extraction for 3-Phase and 9-Phase Diode Rectifiers Utilizing Improved Average Mathematical Models," Energies, MDPI, vol. 11(3), pages 1-19, March.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:3:p:550-:d:134671
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    References listed on IDEAS

    as
    1. Ahmed Aldhaheri & Amir Etemadi, 2017. "Impedance Decoupling in DC Distributed Systems to Maintain Stability and Dynamic Performance," Energies, MDPI, vol. 10(4), pages 1-14, April.
    2. Youngho Cho & Kyeon Hur & Yong Cheol Kang & Eduard Muljadi, 2017. "Impedance-Based Stability Analysis in Grid Interconnection Impact Study Owing to the Increased Adoption of Converter-Interfaced Generators," Energies, MDPI, vol. 10(9), pages 1-17, September.
    3. Xiancheng Zheng & Husan Ali & Xiaohua Wu & Haider Zaman & Shahbaz Khan, 2017. "Non-Linear Behavioral Modeling for DC-DC Converters and Dynamic Analysis of Distributed Energy Systems," Energies, MDPI, vol. 10(1), pages 1-21, January.
    4. Amruta V. Kulkarni & Weiqiang Chen & Ali M. Bazzi, 2016. "Implementation of Rapid Prototyping Tools for Power Loss and Cost Minimization of DC-DC Converters," Energies, MDPI, vol. 9(7), pages 1-35, July.
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    Cited by:

    1. Shahbaz Khan & Xiaobin Zhang & Muhammad Saad & Husan Ali & Bakht Muhammad Khan & Haider Zaman, 2018. "Comparative Analysis of 18-Pulse Autotransformer Rectifier Unit Topologies with Intrinsic Harmonic Current Cancellation," Energies, MDPI, vol. 11(6), pages 1-18, May.

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