A New and Simple Mathematical Technique to Study the Steady-state Performance of Isolated Asynchronous Generator

  • Himadri Sekhar Chatterjee Department of Electrical Engineering, National Institute of Technology, Durgapur-713209, West-Bengal, India
  • Sankar Narayan Mahato Department of Electrical Engineering, National Institute of Technology, Durgapur-713209, West-Bengal, India
Keywords: BSA, DSA, isolated asynchronous generator, LSA, performance analysis, PSO

Abstract

Isolated Asynchronous Generator (IAG) is nowadays widely used for renewable power generation from the sources like wind and small hydro. Traditionally, the steady-state analysis of IAG is carried out by solving a complex higher order non-linear polynomial equation obtained in a complicated way from the steady-state circuit diagram. In this paper, a simple new mathematical procedure has been introduced to obtain two non-linear polynomial equations in much more simplified form which can easily be solved for the unknown variables i.e., per unit generated frequency (a) and magnetizing reactance (Xmm). Between these two equations, one equation comprises only one unknown variable‘a’ and hence, easy to solve. Differential Search Algorithm (DSA) has been efficiently implemented for solving these non-linear equations. The computational efficacy of DSA has been compared with that of Newton-Raphson (N-R) method, Linear Search Algorithm (LSA), Binary Search Algorithm (BSA) and Particle Swarm Optimization (PSO) technique. The performance of the IAG has been studied under different operating conditions such as variation of speed, capacitance and load. All the simulated results have been experimentally verified using a three-phase, 415 volts, 2.2 kW, star-connected induction generator and a close agreement has been found.

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Author Biographies

Himadri Sekhar Chatterjee, Department of Electrical Engineering, National Institute of Technology, Durgapur-713209, West-Bengal, India

HimadriSekhar Chatterjee received his B. Tech and M. Tech degrees from Haldia Institute of Technology, Haldia and National Institute of Technology, Durgapur, India, respectively. He is currently pursuing his PhD degree from NIT, Durgapur. His research interest includes renewable energy sources, electrical machines and drives.

Sankar Narayan Mahato, Department of Electrical Engineering, National Institute of Technology, Durgapur-713209, West-Bengal, India

Sankar Narayan Mahato is a professor in the department of electrical engineering at National Institute of Technology, Durgapur, India. He received his B.E and M. Tech degree from NIT, Durgapur and PhD degree from Indian Institute of Technology, Roorkee, India. His research interest lies in the field of electrical machines and drives, renewable energy systems, etc.

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Published
2022-02-22
Section
SPECIAL ISSUE: Energy Access & Off-Grid Systems for Residential Microgrids/Nanog