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A Comprehensive Study of Time Moments and Markov Parameters in System Reduction

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Book cover Energy Systems, Drives and Automations

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 664))

Abstract

Time moments and Markov parameters play two important roles in the simplification of large-scale system. First role plays in the matching of steady-state responses of the full order and reduced order plants; for this, the matching of their initial few time moments are required. The matching of transient responses between the complete order and lower order systems is the second role of the time moments and Markov parameters. For the second role, the Markov parameters of the actual order and lower order plants must be matched. In this contribution, it is shown that the time moments are not only responsible for the matching of static responses but also for the matching of transient responses. For better understanding of the contribution of the time moments and Markov parameters, popular examples are taken from literature and in each examples, proposed concepts are explained. A new system diminution technique is also proposed which may be applicable when the Padé approximation methodology fails. The process of obtaining reduced plant by this method is based on matching of Markov parameters in place of time moments matching.

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Author information

Authors and Affiliations

  1. VIT-AP University, Amaravati, Andhra Pradesh, India

    Arvind Kumar Prajapati

  2. Department of Instrumentation and Control Engineering, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, 144011, India

    Afzal Sikander

  3. Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, 247667, India

    Rajendra Prasad

Authors
  1. Arvind Kumar Prajapati
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  2. Afzal Sikander
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  3. Rajendra Prasad
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Corresponding author

Correspondence to Arvind Kumar Prajapati .

Editor information

Editors and Affiliations

  1. Department of Instrumentation and Control Engineering, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Punjab, India

    Afzal Sikander

  2. Applied Computer Technology, Kolkata, West Bengal, India

    Dulal Acharjee

  3. Department of Electrical Engineering, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, India

    Chandan Kumar Chanda

  4. Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam, India

    Pranab Kumar Mondal

  5. International Energy Research Centre, Cork, Ireland

    Piyush Verma

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Prajapati, A.K., Sikander, A., Prasad, R. (2020). A Comprehensive Study of Time Moments and Markov Parameters in System Reduction. In: Sikander, A., Acharjee, D., Chanda, C., Mondal, P., Verma, P. (eds) Energy Systems, Drives and Automations. Lecture Notes in Electrical Engineering, vol 664. Springer, Singapore. https://doi.org/10.1007/978-981-15-5089-8_11

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  • DOI: https://doi.org/10.1007/978-981-15-5089-8_11

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-5088-1

  • Online ISBN: 978-981-15-5089-8

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