A Reliable and Accurate Calculation of Excitation Capacitance Value for an Induction Generator Based on Interval Computation Technique

• Published in: International journal of automation and computing Vol. 8; no. 4; pp. 429 - 436
• Main Authors: Thakur, Rajesh Kumar, Agarwal, Vivek, Nataraj, Paluri S. V.
• Format: Journal Article
• Language: English
• Published: Heidelberg Institute of Automation, Chinese Academy of Sciences 01-11-2011; Springer Nature B.V; Systems and Control Engineering, Interdisciplinary Programme(IDP),Mumbai, 400076, India%Department of Electrical Engineering, IIT-Bombay, Powai, Mumbai 400076, India
• Subjects: CAE) and Design; Computer Applications; Computer-Aided Engineering (CAD; Control; Electric potential; Engineering; Inductance; Induction generators; Intervals; Mathematical analysis; Mathematical models; Mechatronics; Robotics; Saturation; Voltage; 区间分析; 发电机励磁; 异步发电机; 电压调节; 电容值; 计算技术; 风能转换系统; 饱和磁化; interval arithmetic; realpaver; induction generator; interval analysis; optimization; range of interval; self-excitation; hull consistency; model; transients; d-q model
• ISSN: 1476-8186; 1751-8520
• DOI: 10.1007/s11633-011-0600-6

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.