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