A New and Simple Mathematical Technique to Study the Steady-state Performance of Isolated Asynchronous Generator
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.
Downloads
References
L. Quazene and G. McPherson Jr., ‘Analysis of an isolated induction generator’, IEEE Trans. Power App. Syst., vol. 102, pp. 2793–2798, 1983.
N. H. Malik and S. E. Haque, ‘Steady state analysis and performance of an isolated self excited induction generator’, IEEE Trans. Energy Convers., vol. 1, no. 3, pp. 133–139, 1986.
T. F. Chan, ‘Analysis of self-excited induction generators using iterative method’, IEEE Trans. Energy Convers., vol. 10, pp. 502–507, 1995.
S. S. Murthy, O. P. Malik and A. K. Tandon, ‘Analysis of self excited induction generator’, Proc. Inst. Elect. Eng. C, vol. 129, pp. 260–265, 1982.
A. L. Alolah and M. A. Alkanhal, ‘Optimization-based steady state analysis of three phase self-excited induction generator’, IEEE Trans. Energy Convers., vol. 15, no. 1, pp. 61–65, 2000.
T. F. Chan and L. L. Lai, ‘Steady-state analysis and performance of a stand-alone three-phase induction generator with asymmetrically connected load impedances and excitation capacitances’, IEEE Trans. Energy Convers., vol. 16, no. 4, pp. 327–333, 2001.
S. P. Singh, S. K. Jain and J. Sharma, ‘Voltage regulation optimization of compensated self-excited induction generator with dynamic load’, IEEE Trans. Energy Convers., vol. 19, no. 4, pp. 724–732, 2004.
N. Kumaresan, ‘Analysis and control of three-phase self-excited induction generators supplying single-phase ac and dc loads’, Proc. Inst. Elect. Eng.—Elect. Power Appl., vol. 152, no. 3, pp. 739–747, 2005.
D. Joshi, K. S. Sandhu and M. K. Soni, ‘Constant voltage constant frequency operation for a self-excited induction generator’, IEEE Trans. Energy Convers., vol. 21, no. 1, pp. 228–234, 2006.
Y. J. Wang and Y. S. Huang, ‘Analysis of a stand-alone three-phase self excited induction generator with unbalanced loads using a two-port network model’, IET Elect. Power Appl., vol. 3, no. 5, pp. 445–452, 2009.
M. H. Haque, ‘A Novel Method of Evaluating Performance Characteristics of a Self-Excited Induction Generator’, IEEE Trans. Energy Convers., vol. 24, no. 2, pp. 358–365, 2009.
Y. N. Anagreh, ‘Performance analysis of self-excited induction generator using simulated annealing algorithm’, Int. J. Model Simul., vol. 30, no. 2, pp. 218–222, 2010.
M. H. Haque, ‘Analysis of a self-excited induction generator with p–q load model’, IEEE Trans. Energy Convers., vol. 25, no. 1, pp. 265–267, 2010.
R. Karthigaivel, N. Kumaresan and M. Subbiah, ‘Analysis and control of self-excited induction generator-converter systems for battery charging applications’, IET Elect. Power Appl., vol. 5, no. 2, pp. 247–257, 2011.
J. Bjornstedt, F. Sulla and O. Samuelsson, ‘Experimental investigation on steady-state and transient performance of a self-excited induction generator’, IET Gener. Transm. Distrib., vol. 5, no. 12, pp. 1233–1239, 2011.
H. E. A. Ibrahim and M. F. Serag, ‘Analysis of self excited induction generator using particle swarm optimization’, World Acad. Sci. Eng. Technol., vol. 5, no. 9, 2011.
A. Kheldoun, L. Refoufi and D. E. Khodja, ‘Analysis of theself-excited induction generator steady state performance using a new efficient algorithm’, Electr. Power Syst. Res., vol. 86, pp. 61–67, 2012.
Y. K. Chauhan, V. K. Yadav and B. Singh, ‘Optimum utilisation of self-excited induction generator’, IET Elect. Power Appl., vol. 7, no. 9, pp. 680–692, 2013.
S. S. Murthy, B. Singh and V. Sandeep, ‘Design-based computational procedure for performance prediction and analysis of single-phase self-excited induction generator’, IET Elect. Power Appl., vol. 7, no. 6, pp. 477–486, 2013.
S. S. Kumar, N. Kumaresan, M. Subbiah and M. Rageeru, ‘Modelling, analysis and control of stand-alone self-excited induction generator pulse width modulation rectifier systems feeding constant dc voltage applications’, IET Gener. Transm. Distrib., vol. 8, no. 6, pp. 1140–1155, 2014.
S. Ray, S. N. Mahato and N. K. Roy, ‘Performance analysis of isolated 3-phase self excited induction generator using graph theory and pso technique’, Proc. of IEEE Int. Conf. TENCON, pp. 1–6, 2014.
H. S. Chatterjee and S. N. Mahato, ‘Steady-state analysis of isolated three-phase induction generator using adaptive pso technique’, Proc. of IEEE Int. Conf. INDICON, pp. 1–5, 2015.
O. Kiselychnyk, M. Bodson and J. Wang, ‘Linearized state-space model of a self-excited induction generator suitable for the design of voltage controllers’, IEEE Trans. Energy Convers., vol. 30, no. 4, pp. 1310–1320, 2015.
K. Arthishri, K. Anusha, N. Kumaresan and S. S. Kumar, ‘Simplified methods for the analysis of self-excited induction generators’, IET Electr. Power Appl., vol. 11, pp. 1636–1644, 2017.
H. M. Hasanien and G. M. Hashem, ‘A cuckoo search algorithm optimizer for steady-state analysis of self-excited induction generator’, Ain Shams Eng. J., vol. 9, no. 4, pp. 2549–2555, 2018.
R. E. Raj, C. Kamalakannan and R. Karthigaivel, ‘Genetic algorithm-based analysis of wind-driven parallel operated self-excited induction generators supplying isolated loads’, IET Renew. Power Gener., vol. 12, no. 4, pp. 472–483, 2018.
D. Bouhadjra, A. Kheldoun and A. Zemouche, ‘Performance analysis of stand-alone six-phase induction generator using heuristic algorithms’, Math. Comput. Simulat., vol. 167, pp. 231–249, 2020.
S. Ray, H. S. Chatterjee, D. Samajpati, S. N. Mahato and N. K. Roy, ‘Two-port network-based modeling and analysis of three-phase self-excited induction generator used in renewable energy systems’, Lect. Notes Electr. Eng., vol. 693, pp. 411–418, 2021.
P. Civicioglu, ‘Transforming geocentric cartesian coordinates to geodetic coordinates by using differential search algorithm’, Comput. Geosci., vol. 46, no. 15, pp. 229–247, 2012.
