Reduced Order Modelling of Linear Time Invariant Systems Using the Factor Division Method to Allow Retention of Dominant Modes

ABSTRACT

This paper proposes a new model order reduction method for the large-scale dynamic systems using the factor division approach to allow the preservation of dominant poles. For a given higher order model, the denominator of the lower order system is obtained by preserving the dominant poles of the original model, while the numerator is calculated by using the factor division algorithm. The proposed technique guarantees the preservation of stability, steady-state value, and initial few time moments of the original model in the reduced system. The simplicity, accuracy, and validation of the proposed technique are shown by the three standard examples taken from the literature.

KEYWORDS:

• Dominant poles algorithm
• Model order reduction
• Steady-state value
• Step response
• Time moments

ORCID

Arvind Kumar Prajapati http://orcid.org/0000-0001-7385-2878

Additional information

Notes on contributors

Arvind Kumar Prajapati

Arvind Kumar Prajapati was born in Jaunpur (Uttar Pradesh), India, in 1990. He received his B.Tech. degree with Gold-Medal in electrical engineering from V.B.S. Purvanchal University, Jaunpur in 2013. In addition, He also received an M.Tech. degree in electrical engineering from National Institute of Technology, Silchar, India in 2015. He served as an Assistant Professor in electrical engineering department of Purvanchal University Jaunpur. Currently, he is pursuing a Ph.D. degree in the department of electrical engineering, Indian Institute of Technology Roorkee, Uttarakhand, India. His area of interest includes model order reduction, fault detection and accommodation of dynamic system, and integrated vehicle health management system.

Rajendra Prasad

Rajendra Prasad was born in Hangawali (Saharanpur), India in 1953. He received a B.Sc. (Hons.) degree from Meerut University, India in 1973. He also received B.E., M.E., and Ph.D. degree in electrical engineering from the University of Roorkee, India in 1977, 1979, and 1990, respectively. He has served as Assistant Engineer in Madhya Pradesh Electricity Board (MPEB) from 1979 to 1983. He served as lecturer in electrical engineering department, University of Roorkee, India from 1983 to 1996. He worked as an Assistant Professor during 1996–2001, Associate Professor from 2001 to 2009 and currently, he is Professor in the Department of Electrical Engineering, Indian Institute of Technology Roorkee, Roorkee (India). He has published around 300 papers in various journals/conferences and received 15 awards on his publications in various National/International Journals/Conferences proceeding papers. He has guided 16 Ph.D.s, and presently four Ph.D.s are under progress. His main research interests include model order reduction, data analysis, robotics and its applications, control, optimization, and system engineering. Email: [email protected]