A New and Simple Mathematical Technique to Study the Steady-state Performance of Isolated Asynchronous Generator
DOI:
https://doi.org/10.13052/dgaej2156-3306.37313Keywords:
BSA, DSA, isolated asynchronous generator, LSA, performance analysis, PSO.Abstract
Isolated Asynchronous Generator (IAG) is nowadays widely used for renew-
able power generation from the sources like wind and small hydro. Tradi-
tionally, 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 mathe-
matical 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 magnetiz-
ing reactance (Xm). 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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