International Journal of Nonlinear Analysis and Applications

Interharmonics estimation using hybrid multi sine cosine algorithm

Document Type : Research Paper

Authors

Department of Electrical Engineering, Faculty of Engineering and Technology, Annamalai University, Annamalainagar–608 002, India

Abstract

The existence of nonlinear loads and switching converters for wind and solar energy systems create distorted sinusoidal waveforms in power systems. The distorted signals are comprised of harmonic and inter harmonic frequency sinusoidal components that create disturbances like flicker, overheating of equipment, electrical losses, control system and digital meter faults, weakening of electrical appliances and electromagnetic interferences with other apparatus. Accurate measurement of the inter harmonic distortion is significant to determine the quality of the power delivered. A novel method presented in this paper has been developed based on the hybridization of the sine wave correlation technique and multi sine-cosine algorithm (SWC-MSCA) for the estimation of inter harmonics. The suggested algorithm is validated with a standard power system test signal and compared with the other on similar competent algorithms given literature. The proposed estimator outperforms pertaining to exactness and computing effort. The suggested estimator is also employed for the prediction of inter harmonics on a grid-tied single-phase PV system.

Keywords

[1] S. Biswas, A. Chatterjee and S.K. Goswami, An artificial bee colony-least square algorithm for solving harmonic estimation problems, Appl. Soft Comput. 13 (2013), 2343–2355.
[2] Bettayeb and U. Qidwai, A hybrid least squares-GA-based algorithm for harmonic estimation, IEEE Trans. Power 18 (2003), no. 2, 377–382.
[3] G. Chicco, J. Schlabbach and F. Spertino, Experimental assessment of the waveform distortion in grid-connected photovoltaic installations, Solar Energy 83 (2009), no. 7, 1026–1039.
[4] F. Costa, A.J.M. Cardoso and D.A. Fernandes, Harmonic analysis based on Kalman filtering and Prony’s method, Proc. Int. Conf. Power Engin. Energy Electric. Drives, Set´ubal, Portugal, Apr. 12-14, 2007, pp. 696–701.
[5] P.K. Dash, D.P. Swain, A. Routray and A.C. Liew, Harmonic estimation in a power system using adaptive perceptrons, IEEE Proc. Gener. Trans. Distrib. 143 (1996), no. 6, 565–574.
[6] Y. Kabalci, S. Kockanat and E. Kabalci, A modified ABC algorithm approach for power system harmonic estimation problems, Electric Power Syst. Res. 154 (2018), 160–173.
[7] R. Langella, A. Testa, J. Meyer, F. Mller, R. Stiegler and S.Z. Djokic, Experimental-based evaluation of PV inverter harmonic and interharmonic distortion due to different operating conditions, IEEE Trans. Instrum. Meas. 65 (2016), no. 10, 2221–2233.
[8] T.Y. Lu, W.H. Ji, Tang, Q.H. Wu, Optimal harmonic estimation using a particle swarm optimizer, IEEE Trans. Power Del. 23 (2008), no. 2, 1166-1174.
[9] H. Ma and A.A. Girgis, Identification and tracking of harmonic sources in a power system using Kalman filter, IEEE Trans. Power Del. 11 (1996), no. 4, 1659–1665.
[10] S. Mirjalili, SCA: A sine cosine algorithm for solving optimization problems, Knowledge-Based Systems, 2016.
[11] S. Mishra, A hybrid least square-fuzzy bacterial foraging strategy for harmonic estimation, IEEE Trans. Evo. Comput. 9 (2005), no. 1.
[12] V. Ravindran, S.K. R¨onnberg, T. Busatto and M.H.J. Bollen, Inspection of interharmonic emissions from a Gridtied PV inverter in North Sweden, 18th Int. Conf. Harmonics Quality of Power (ICHQP), Ljubljana, Slovenia, 2018, pp. 13-16.
[13] P. Ray and B . Subudhi, BFO optimized RLS algorithm for power system harmonics estimation, Appl. Soft Comput. 12 (2012), no. 8, 1965–1977.
[14] M. Z. Rehman, A. Khan, R. Ghazali, M. Aamir and N.M. Nawi, A new multi sine-cosine algorithm for unconstrained optimization problems, PloS one 16 (2021), no. 8, e0255269.
[15] A. Sangwongwanich, Y. Yang, D. Sera and F. Blaabjerg, Interharmonics from grid-connected PV systems: Mechanism and mitigation, IEEE 3rd Int. Future Energy Electron. Conf. ECCE Asia (IFEEC 2017 - ECCE Asia), Kaohsiung, 2017, pp. 722–727.
[16] L. Svilainis and V. Dumbrava, Amplitude and phase measurement in acquisition systems, Matavimai 2 (2006), no. 38, 21–25.
[17] S.K. Singh, N. Sinha, A.K. Goswami and N. Sinha, Robust estimation of power system harmonics using a hybrid firefly based recursive least square algorithm, Int. J. Electr. Power Energy Syst. 80 (2016), 287–296.
[18] S.K. Singh, N. Sinha, A.K. Goswami and N. Sinha, Power system harmonic estimation using biogeography hybridized recursive least square algorithm, Int. J. Electr. Power Energy Syst. 83 (2016), 219–228.
[19] S.K. Singh, D. Kumari, N. Sinha, A.K. Goswami and N. Sinha, Gravity search algorithm hybridized recursive least square method for power system harmonic estimation, Eng. Sci. Technol. 20 (2017), no. 3, 874–884.
[20] X.S. Yang, Biology-derived algorithms in engineering optimizaton, Olarius, Zomaya, Editors, Handbook of bioinspired algorithms and applications. Chapman and Hall/CRC, 2005.
[21] T.X. Zhu, Exact harmonics/inter harmonics calculation using adaptive window width, IEEE Trans. Power Del. 22 (2007), no. 4, 2279–2288.
International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 619-629
  • Receive Date: 07 January 2022
  • Revise Date: 13 February 2022
  • Accept Date: 24 March 2022