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A reliable and accurate calculation of excitation capacitance value for an induction generator based on interval computation technique

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Abstract

A squirrel cage induction generator (SCIG) offers many advantages for wind energy conversion systems but suffers from poor voltage regulation under varying operating conditions. The value of excitation capacitance (C exct ) is very crucial for the selfexcitation and voltage build-up as well as voltage regulation in SCIG. Precise calculation of the value of C exct is, therefore, of considerable practical importance. Most of the existing calculation methods make use of the steady-state model of the SCIG in conjunction with some numerical iterative method to determine the minimum value of C exct . But this results in over estimation, leading to poor transient dynamics. This paper presents a novel method, which can precisely calculate the value of C exct by taking into account the behavior of the magnetizing inductance during saturation. Interval analysis has been used to solve the equations. In the proposed method, a range of magnetizing inductance values in the saturation region are included in the calculation of C exct , required for the self-excitation of a 3-ϕ induction generator. Mathematical analysis to derive the basic equation and application of interval method is presented. The method also yields the magnetizing inductance value in the saturation region which corresponds to an optimum C exct(min) value. The proposed method is experimentally tested for a 1.1 kW induction generator and has shown improved results.

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Correspondence to Rajesh Kumar Thakur.

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Rajesh Kumar Thakur received the Bachelor’s degree in electrical engineering from Muzaffarpur Institute of Technology, Bihar University, Muzaffarpur, India, Master’s degree in electrical engineering (control systems) from the Institute of Tecnology, Banaras Hindu University, Varanasi, India, and pursuing for Ph.D. degree in systems and control engineering from the Indian Institute of Technology Bombay, India. In 1992, he joined the Department of Instrumentation & Control Engineering, Regional Engineering College Jalandhar, India, where he served as lecturer till 2000. He is currently serving as associate professor at College of Military Engineering, Pune, India. He is a life member of the Institution of Engineers.

His research interests include modeling and simulation of large systems, robust stability and control, nonlinear system analysis and control, and conditioning of energy from non-conventional sources.

Vivek Agarwal received the Bachelor’s degree in physics from St. Stephen’s College, Delhi University, Delhi, India, Master’s degree in electrical engineering from the Indian Institute of Science, Bangalore, India, and the Ph.D. degree in electrical and computer engineering from the University of Victoria, Victoria, BC, Canada. Subsequently, he worked as a research engineer with Statpower Technologies, Burnaby, BC, Canada. In 1995, he joined the Department of Electrical Engineering, Indian Institute of Technology-Bombay, Mumbai, India, where he is currently a professor. He is a fellow of the Indian National Academy of Engineering, a fellow of the Institute of Electronics and Telecommunication Engineers (IETE), and a life member of the Indian Society for Technical Education. He is a senior member of IEEE and serves on the editorial boards of IEEE Transactions on Power Electronics and Smart Grid. He has received multiples awards and honors for his contributions towards research in various areas.

His research interests include modeling and simulation of new power converter configurations, intelligent and hybrid control of power electronic systems, power quality issues, electromagnetic interference (EMI)/electromagnetic compatibility (EMC) issues, and conditioning of energy from nonconventional sources.

Paluri S. V. Nataraj is a professor of Systems and Control Engg Group at IIT Bombay. He obtained his Ph.D. from IIT Madras in process dynamics and control in 1987. He then worked in the CAD center at IIT Bombay, India for about one and half years before joining the faculty of the Systems and Control Engineering Group at IIT Bombay in 1988. He is an associate editor of International Journal of Systems Assurance Engineering and Management (Springer), and editor of two international journals-International Journal of Automation and Control (Inderscience) and Opsearch (Springer).

His research interests include chemical process control, global optimization, robust stability and control, nonlinear system analysis and control, and reliable computing.

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Thakur, R.K., Agarwal, V. & Nataraj, P.S.V. A reliable and accurate calculation of excitation capacitance value for an induction generator based on interval computation technique. Int. J. Autom. Comput. 8, 429–436 (2011). https://doi.org/10.1007/s11633-011-0600-6

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  • DOI: https://doi.org/10.1007/s11633-011-0600-6

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