# RSM-Based Optimization of Excitation Capacitance and Speed for a Self-Excited Induction Generator

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## Abstract

A wind turbine system with a self-excited induction generator (SEIG) is one of the best options as power supplier in rural areas because of its low cost, wide speed operation range, brushless structure and low maintenance. Beside its advantages, it has poor voltage and frequency regulation which depend on the generator speed, load impedance, excitation capacitance and magnetizing reactance. This restriction leads the researchers to select the best value of excitation capacitor to maintain the terminal voltage within the upper and lower acceptable limits. The determination of generator speed is another point to be focused to remain frequency at desired level.

In this paper, the response surface method (RSM) is applied in order to determine the optimal steady state performance for the SEIG instead of the commonly used nodal admittance method or the loop impedance technique. Proposed method does not need knowledge of induction machine parameters which makes it superior against classical methods. The main objective of the proposed approach is to determine the excitation capacitance and shaft speed to maintain a constant terminal voltage magnitude and frequency of the SEIG. Consequently, a response surface model is established in which the capacitance value and the shaft speed are considered the inputs, whereas the voltage magnitude and frequency are assumed to be the outputs. The simulation results show the effectiveness of the method proposed in this paper since the regression value (*R*^{2}) obtained was 99.98%. In particular, for a 4 kW squirrel cage induction generator with a 950 Ω resistive load per phase, the excitation capacitance and shaft speed were found to be 6.897 μF and 1504 rpm respectively. Moreover, the output voltage magnitude and frequency obtained were 230.2 V and 50 Hz, respectively.

## Notes

### Acknowledgements

This study was supported by Balikesir University (Project No: BAP 2018/03). The authors would also like to thank University of Derby, whose valuable supports lead to reveal this paper.

## References

- 1.S. Paliwal, S.K. Sinha, Y.K. Chauhan, Performance optimization of self excited induction generator: a state of art, in
*2017 Recent Developments in Control, Automation and Power Engineering (RDCAPE)*(IEEE, Piscataway, 2017), pp. 416–420Google Scholar - 2.G. Kenne, C.T. Sanjong, A.S. Fotso, E.M. Nfah, A robust control strategy for a self-excited induction generator wind turbine system. Int. J. Dyn. Control
**6**(1), 300–31 (2018)MathSciNetCrossRefGoogle Scholar - 3.F.A. Farret, M. Godoy Simões,
*Modeling and Analysis with Induction Generators*(CRC Press, Boca Raton, 2014)Google Scholar - 4.T Elango, A Senthil Kumar, Voltage regulation of a stand-alone self-excited induction generator using STATCON with one cycle control technique for wind energy conversion system. Int. J. Ambient Energy
**38**(5), 497–508 (2017)CrossRefGoogle Scholar - 5.R.C. Bansal, Three-phase self-excited induction generators: an overview. IEEE Trans. Energy Convers.
**20**(2), 292–299 (2005)CrossRefGoogle Scholar - 6.N.H. Malik, A.A. Mazi, Capacitance requirements for isolated self excited induction generators. IEEE Trans. Energy Convers.
**EC-2**(1), 62–69 (1987)CrossRefGoogle Scholar - 7.T. Ahmed, O. Noro, K. Matzuo, Y. Shindo, M. Nakaoka, Minimum excitation capacitance requirements for wind turbine coupled stand-alone self-excited induction generator with voltage regulation based on SVC, in
*The 25th International Telecommunications Energy Conference, INTELEC’03*(IEEE, Piscataway, 2003), pp. 396–403Google Scholar - 8.M.H. Haque, Capacitance requirement in a three-phase SEIG under no-load and load conditions, in
*2012 IEEE International Conference on Power System Technology (POWERCON)*(IEEE, Piscataway, 2012), pp. 1–6CrossRefGoogle Scholar - 9.M.Faisal Khan, M. Rizwan Khan, Selection of optimum excitation capacitance for a high (six) phase self excited induction generator, in
*2016 Biennial International Conference on Power and Energy Systems: Towards Sustainable Energy (PESTSE)*(IEEE, Piscataway, 2016), pp. 1–5Google Scholar - 10.S.N. Mahato, M.P. Sharma, S.P. Singh, Selection of optimal capacitors for maximum power output of a single-phase self-excited induction generator using a three-phase machine. Electr. Power Compon. Syst.
**35**(8), 857–870 (2007)CrossRefGoogle Scholar - 11.P. Phumiphak, C. Chat-uthai, Optimal capacitances compensation for short-shunt self-excited induction generator under inductive load, in
*International Conference on Electrical Machines and Systems, ICEMS 2009*(IEEE, Piscataway, 2009), pp. 1–5Google Scholar - 12.H. Calgan, M. E Balci, M. Demirtas, Capacitive power and torque estimation for self-excited induction generator with Elman neural network, in
*International Conference on Engineering and Natural Science, ICENS 2017*(2017), pp. 878–883Google Scholar - 13.M.H. Haque, Selection of capacitors to regulate voltage of a short-shunt induction generator. IET Gener. Transm. Distrib.
**3**(3), 257–265 (2009)CrossRefGoogle Scholar - 14.G.K. Kasal, B. Singh, DSP-based voltage controller for an isolated asynchronous generator feeding induction motor loads. Electr. Power Compon. Syst.
**37**(8), 914–935 (2009)CrossRefGoogle Scholar - 15.A.M. Bouzid, P. Sicard, A. Cheriti, J.M. Guerrero, M. Bouhamida, M.S. Golsorkhi, Voltage and frequency control of wind-powered islanded microgrids based on induction generator and STATCOM, in
*The IEEE 3rd International Conference on in Control, Engineering and Information Technology (CEIT)*(2015), pp. 1–6Google Scholar - 16.I. Tamrakar, L.B. Shilpakar, B.G. Fernandes, R. Nilsen, Voltage and frequency control of parallel operated synchronous generator and induction generator with STATCOM in micro hydro scheme. IET Gener. Transm. Distrib.
**1**(5), 743–750 (2007)CrossRefGoogle Scholar - 17.D. Giribabu, M. Das, A. Kumar, Comparative study of control strategies for the induction generators in wind energy conversion system. Wind Struct.
**22**(6), 635–662 (2016)CrossRefGoogle Scholar - 18.B. Singh, S.S. Murthy, M. Goel, A.K. Tandon, et al., A steady state analysis on voltage and frequency control of self-excited induction generator in micro-hydro system, in
*International Conference on Power Electronics, Drives and Energy Systems, PEDES’06*(IEEE, Piscataway, 2006), pp. 1–6Google Scholar - 19.P. Aree, S. Lhaksup, Dynamic simulation of self-excited induction generator feeding motor load using matlab/simulink, in
*2014 11th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI-CON)*(IEEE, Piscataway, 2014), pp. 1–6Google Scholar - 20.S.S. Murthy, U. K. Kalla, G. Bhuvaneswari, A novel electronic controller implementation for voltage regulation of single phase self-excited induction generator, in
*2010 IEEE Industry Applications Society Annual Meeting (IAS)*(IEEE, Piscataway, 2010), pp. 1–8Google Scholar - 21.M.A.N. Saif, B.H. Khan, A simplified analysis of a constant voltage single phase self-excited induction generator. Electr. Power Compon. Syst.
**33**(1), 103–112 (2005)CrossRefGoogle Scholar - 22.D. Chermiti, N. Abid, A. Khedher, Voltage regulation approach to a self-excited induction generator: theoretical study and experimental validation. Int. Trans. Electr. Energy Syst.
**27**(5), e2311 (2017)Google Scholar - 23.B. Singh, S.S. Murthy, S. Gupta, Analysis and design of STATCOM-based voltage regulator for self-excited induction generators. IEEE Trans. Energy Conver.
**19**(4), 783–790 (2004)CrossRefGoogle Scholar - 24.G. Dastagir, Voltage and frequency regulation of a stand-alone self-excited induction generator with an unregulated prime mover. Ph.D. thesis, Concordia University, 2008Google Scholar
- 25.E. Ilten, M. Demirtas, Fractional order super-twisting sliding mode observer for sensorless control of induction motor, in Int. J. Comput. Math. Electr. Electron. Eng.
**38**(2), 878-892 (2019)CrossRefGoogle Scholar - 26.M.D. Turan, H. S. Altundoğan, Hi̇drometalurji̇k araştirmalarda yanit yüzey yöntemleri̇ni̇n (yyy) kullanimi, Bilimsel Madencilik Dergisi
**50**(3), 11–23 (2011)Google Scholar - 27.D. Baş, I. H Boyacı, Modeling and optimization I: usability of response surface methodology. J. Food Eng.
**78**(3), 836–845 (2007)Google Scholar - 28.H.M. Gomes, A.M. Awruch, Comparison of response surface and neural network with other methods for structural reliability analysis. Struct. Saf.
**26**(1), 49–67 (2004)CrossRefGoogle Scholar - 29.M. Dutka, M. Ditaranto, T. Løvås, Application of a central composite design for the study of NOX emission performance of a low NOx burner. Energies
**8**(5), 3606–3627 (2015)CrossRefGoogle Scholar - 30.K. Levenberg, A method for the solution of certain non-linear problems in least squares. Q. Appl. Math.
**2**(2), 164–168 (1944)MathSciNetCrossRefGoogle Scholar - 31.M. Demirtas, E. Ilten, H. Calgan, Pareto-based multi-objective optimization for fractional order PI
^{λ}speed control of induction motor by using Elman neural network. Arab. J. Sci. Eng.**44**(3), 2165–2175 (2019)CrossRefGoogle Scholar