HARMONIC COMPONENTS ESTIMATION IN POWER SYSTEM USING BACTERIAL FORAGING OPTIMIZATION ALGORITHM AND STOCHASTIC GRADIENT ALGORITHM WITH VARIABLE FORGETTING FACTOR
DOI:
https://doi.org/10.31436/iiumej.v17i1.559Abstract
In this paper, a hybrid configuration algorithm called stochastic gradient method with variable forgetting factor (SGVFF) is proposed to better estimate unknown parameters in a power system such as amplitude and phase of harmonics using variable forgetting factor following the bacterial foraging optimization algorithm (BFO). It must be mentioned that harmonic estimation is a nonlinear problem and using linear optimization algorithms for solving this problem reduces the convergence speed. Thus, BFO algorithm is used for initial estimation. In this paper, first, using little information and by applying BFO algorithm in an off-line procedure initial value for SGVFF algorithm is achieved and then SGVFF algorithm is gained in an on-line procedure. In the hybrid algorithm applied in this paper, amplitudes and phases are estimated simultaneously. Simulation results indicate that the proposed method has faster convergence speed, better performance and higher accuracy in a noisy system in comparison with recursive least squares variable forgetting factors algorithm (RLSVFF). This proves the superiority of the proposed method.
KEYWORDS:Â Power system harmonic; BFO algorithm; SGVFF method; RLSVFF method
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[2] Bai, Z., Ma, H., Xu, D., Wu, B., Fang, Y., & Yao, Y. (2014) Resonance damping and harmonic suppression for grid-connected current-source converter. Industrial Electronics, IEEE Transactions, 61(7):3146-3154.
[3] Hinduja, M., Rathi, M., Jaya Christa, S. T., & Prabha, N. R. (2015) PI control of multi-level inverter based shunt active power filter for harmonic mitigation in three phase systems. Circuit, Power and Computing Technologies (ICCPCT), International Conference on IEEE.
[4] Beides HM, Heydt GT. (1991) Dynamic state estimation of power system harmonics using Kalman filter methodology. IEEE Transactions on Power Delivery, 6(4):1663-1670.
[5] Kennedy K, Lightbody G, Yacamini R. (2003) Power system harmonic analysis using the Kalman filter. IEEE Power Engineering Society General Meeting, 2:752-757.
[6] Routray A, Pradhan AK, Rao KP. (2002) A novel Kalman filter for frequency estimation of distorted signals in power system,†IEEE Trans. Instrum. Meas., 51(3):469-479.
[7] Costa, F. F., Cardoso, A. J. M., & Fernandes, D. A. (2007). Harmonic analysis based on Kalman filtering and Prony's method. In Power Engineering, Energy and Electrical Drives, 2007. POWERENG 2007. International Conference on (pp. 696-701). IEEE.
[8] Yang J, Xi H, Guo W. (2007) Robust modified Newton algorithm for adaptive frequency estimation. IEEE Trans Signal Process Lett, 14(11):879-882.
[9] Xue SY, Yang SX. (2009) Power system frequency estimation using supervised Gauss–Newton algorithm. Measurement, 42(1):28-37.
[10] Terzija VV, Stanojevic V. (2007) Two stage improved recursive Newton-type algorithm for power-quality indices estimation. IEEE Trans Power Delivery, 22(3):1351-1359.
[11] Jiang X, King J, Emadi A. (2004) A power harmonics detection approach based on least squares energy minimization principle. 30th Annual Conference of the IEEE Industrial Electronics Society, Busan, Korea, pp.2934-2938.
[12] Abu Al-Feilat EA, El Amin I, Bettayeb M. (1994) Power system harmonic estimation and comparative study. Elect. Power Syst. Res., 29:91-97.
[13] Pradhan AK, Routray A, Basak A. (2005) Power system frequency estimation using least mean square technique. IEEE Trans. Power Del., 20(3):1812-1816.
[14] Dash PK, Swain DP, Routray A, Liew AC. (1996) Harmonic estimation in a power system using adaptive perceptrons. IEEE Proc- Gener. Transm. Distribut., 143(6):565-574.
[15] Joorabian M, Mortazavi SS, Khayyami AA. (2009) Harmonics estimation in a powersystem using a novel-hybrid least square–Adaline algorithm. Electric Power System Research, 79(1):107-116.
[16] Lai TL, Wei CZ. (1982) Least squares estimates in stochastic regression models with applications to identification and control of dynamic systems. Annals of Statistics, 10(1): 154-166.
[17] Ding F, Xie XM, Fang CZ. (1996) Multi-innovation identification methods for time-varying systems. Acta Automatica Sinica, 22(1):85-91.
[18] Ding, F., Ding, T., Yang, J., & XIAO, D. (2001). Performance of multi-innovation identification for attenuating excitation of stochastic systems. JOURNAL-TSINGHUA UNIVERSITY, 41(9), 115-117.
[19] Ding F, Chen T. (2007) Multi-innovation stochastic gradient identification methods. Proceedings of the 6th world congress on intelligent control and automation (WCICA2006), June 21–23, 2006, Dalian, China.
[20] Ding F, Chen H, Li M. (2007) Multi-innovation least squares identification methods based on the auxiliary model for MISO systems. Journal name??, 186(1)184-192.
[21] Passino KM. (2002) Bio-mimicry of bacterial Foraging for distributed optimization and control. IEEE Contr. Syst. Mag., 22(3):52-67.
[22] Ray, P. K., & Subudhi, B. (2012). BFO optimized RLS algorithm for power system harmonics estimation. Applied Soft Computing, 12(8), 1965-1977.
[23] Bettayeb, M., & Qidwai, U. (2003). A hybrid least squares-GA-based algorithm for harmonic estimation. Power Delivery, IEEE Transactions on, 18(2), 377-382.
[24] Sahoo, H. K., Sharma, P., & Rath, N. P. (2011, December). Robust harmonic estimation using Forgetting Factor RLS. In India Conference (INDICON), 2011 Annual IEEE (pp. 1-5). IEEE.
[25] Park, D. J., Jun, B. E., & Kim, J. H. (1991). Fast tracking RLS algorithm using novel variable forgetting factor with unity zone. Electronics Letters, 27(23), 2150-2151.
[26] Wang J. (2009) A variable forgetting factor RLS adaptive filtering algorithm. IEEE conference, Beijing. 27-29 Oct., pp1127-1130.
[27] Mishra S. (2005) A hybrid least square-fuzzy bacterial foraging strategy for harmonic estimation. IEEE Transactions on Evolutionary Computation, 9(1):61-73.
[28] Mishra S, Bhende CN. (2007) Bacterial foraging technique based optimized active power filter for load compensation. IEEE Transactions on Power Delivery, 22(1):457-465.
[29] Biswas, A., Dasgupta, S., Das, S., & Abraham, A. (2007). A synergy of differential evolution and bacterial foraging optimization for faster global search. International Journal on Neural and Mass-Parallel Computing and Information Systems-Neural Network World, 17(6), 607-626.
[30] Holland JH. (1975) Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor, USA.
[31] Kennedy J, Eberhart R. (1995) Particle swarm optimization. Proceedings of IEEE International Conference on Neural Networks, pp1942-1948.
[32] Storn R, Price K. (1997) Differential evolution – A simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization, 11(4):341-359.