A Mixed Method for Large-Scale Systems Modelling using Eigen Spectrum Analysis and Cauer Second Form

Abstract

The authors present a mixed method for the reduction of large-scale systems which combines the Eigen spectrum analysis with the Cauer second form. The denominator of the reduced order model/low order system is found by Eigen spectrum analysis while the numerator dynamics is determined by Cauer second form. This method guarantees stability of the reduced model if the original high order system is stable. The method is illustrated by numerical examples.

Indexing terms:

• Cauer second form
• Eigen spectrum
• Impulse response energy
• Integral square error
• Large-scale systems
• Order reduction

Additional information

Notes on contributors

G Parmar

Girish Parmar was born in Bikaner (Rajasthan), India in 1975. He received BTech in Instrumentation and Control Engineering from Regional Engineering College, Jalandhar (Punjab), India in 1997 and ME (Gold Medalist) in Measurement and Instrumentation from University of Roorkee, Roorkee, India in 1999. Since then, he is working as a Lecturer in Government Engineering College at Kota (Rajasthan), India. Presently, he is QIP Research Scholar in the Department of Electrical Engineering at Indian Institute of Technology Roorkee (India).

R Prasad

Rajendra Prasad was born in Hangawali in 1953. He received BSc (Hons) degree from Meerut University, India, in 1973. He received BE, ME and PhD degrees in Electrical Engineering from University of Roorkee, India, in 1977, 1979, and 1990 respectively. From 1983 to 1996, he was a Lecturer in the Electrical Engineering Department, University of Roorkee. Presently, he is an Associate Professor in the Department of Electrical Engineering at Indian Institute of Technology Roorkee. His research interests include Control, Optimization, System Engineering and Model Order Reduction of Large Scale systems.

S Mukherjee

Shaktidev Mukherjee was born in Patna, India, in 1948. He received BSc (Engg), Electrical from Patna University in 1968 and ME, PhD from the University of Roorkee in 1977 and 1989 respectively. After working in industries till 1973, he joined teaching and taught in different institutions. Presently he is Professor in the Department of Electrical Engineering at Indian Institute of Technology Roorkee. His research interests are in the area of Model Order Reduction and Process Instrumentation and Control.