Abstract
This paper presents the application of an online optimization based fast model predictive control scheme to grid-connected wind farms for reactive power and voltage control. A linear prediction model of the network was used to predict the behavior of the system for a certain prediction horizon, while a modified quadratic programming problem was used for the optimization process. The proposed controller was tested in a 5-bus test system hosting three sub-wind farms of total 36 MW active power production capacity connected in series to the external network. The controller performed its control action by changing the reactive power output of the sub-wind farms and voltage set-points of an online load tap changer transformer to respect the safety limit imposed on the bus voltages and desired reactive power exchange.
References
Abedinia O, Amjady N, Ghasemi A, Hejrati Z (2013) Solution of economic load dispatch problem via hybrid particle swarm optimization with time-varying acceleration coefficients and bacteria foraging algorithm techniques. Int Trans Electr Energy Syst 23(8):1504–1522
Ackermann T, Knyazkin V (2002) Interaction between distributed generation and the distribution network: operation aspects. In: IEEE/PES, transmission and distribution conference and exhibition, Asia Pacific, vol 2. IEEE Press, New York, pp 1357–1362
Afkousi-Paqaleh M, Rashidinejad M, Pourakbari-Kasmaei M (2010) An implementation of harmony search algorithm to unit commitment problem. Electr Eng 92(6):215–225
Afzalan E, Joorabian M (2014) An improved cuckoo search algorithm for power economic load dispatch. Int Trans Electr Energy Syst. doi: 10.1002/etep.1878
Ahmidi A, Guillaud X, Besanger Y, Blanc R (2012) A multilevel approach for optimal participating of wind farms at reactive power balancing in transmission power system. IEEE Syst J 6(2):260–269
Alamir M (2012) A framework for real-time implementation of low-dimensional parameterized nmpc. Automatica 48(1):198–204
Alamir M, Allgower F (2008) Model predictive control. Int J Robust Nonlinear Control 18(8):799–799
Anderson E, Bai Z, Bischof C, Blackford S, Demmel J, Dongarra J, Du Croz J, Greenbaum A, Hammerling S, McKenney A et al (1999) LAPACK Users’ guide, vol 9. SIAM, Philadelphia
Arul R, Ravi G, Velusami S (2014) An improved harmony search algorithm to solve economic load dispatch problems with generator constraints. Electr Eng 96(1):55–63
Attia SA, Alamir M, De Wit CC (2006) Voltage collapse avoidance in power systems: a receding horizon approach. Intell Autom Soft Comput 12(1):9–22
Nasr Azadani E, Hosseinian SH, Hasanpor P (2008) Optimal placement of multiple statcom for voltage stability margin enhancement using particle swarm optimization. Electr Eng 90(7):503–510
Badar AQH, Umre BS, Junghare AS (2012) Reactive power control using dynamic particle swarm optimization for real power loss minimization. Int J Electr Power Energy Syst 41(1):133–136
Barker PP, de Mello RW (2000) Determining the impact of distributed generation on power systems. I. Radial distribution systems. In: Power engineering society summer meeting, vol 3. IEEE Press, New York, pp1645–1656
Boyd S, Vandenberghe L (2009) Convex optimization. Cambridge university press, Cambridge
Camacho EF, Alba CB (2013) Model predictive control. Springer, Berlin
Chakraborty P, Roy GG, Panigrahi BK, Bansal RC, Mohapatra A (2012) Dynamic economic dispatch using harmony search algorithm with modified differential mutation operator. Electr Eng 94(4):197–205
Cortés P, Kazmierkowski MP, Kennel RM, Quevedo DE, Rodríguez J (2008) Predictive control in power electronics and drives. IEEE Trans Ind Electr 55(12):4312–4324
Devaraj D (2007) Improved genetic algorithm for multi-objective reactive power dispatch problem. Eur Trans Electr Power 17(6):569–581
Domahidi A, Zgraggen AU, Zeilinger MN, Morari M, Jones C (2012) Efficient interior point methods for multistage problems arising in receding horizon control. In: Proceedings of the 51st IEEE conference on decision and control, number EPFL-CONF-181938
Abou El Ela AA, Spea SR (2009) Optimal power flow using differential evolution algorithm. Electr Eng 91(2):69–78
Abou El-Ela AA, Kinawy AM, El-Sehiemy RA, Mouwafi MT (2011) Optimal reactive power dispatch using ant colony optimization algorithm. Electr Eng 93(2):103–116
Geyer T (2005) Low complexity model predictive control in power electronics and power systems. Cuvillier, Belgium
Geyer T, Papafotiou G, Morari M (2005) Model predictive control in power electronics: a hybrid systems approach. In: CDC-ECC’05. 44th IEEE conference on decision and control, 2005 and 2005 European control conference. IEEE Press, New York, pp 5606–5611
Ghorbani N, Vakili S, Babaei E, Sakhavati A (2014) Particle swarm optimization with smart inertia factor for solving non-convex economic load dispatch problems. Int Trans Electr Energy Syst 24(8):1120–1133
Glavic M, Hajian M, Rosehart W, Van Cutsem T (2011) Receding-horizon multi-step optimization to correct nonviable or unstable transmission voltages. IEEE Trans Power Syst 26(3):1641–1650
Gong B, Hiskens I (2011) A stable finite horizon model predictive control for power system voltage collapse prevention. In: 50th IEEE conference on decision and control and European control conference (CDC-ECC). IEEE Press, New York, pp 7105–7110
Gong B, Hiskens IA (2008) Two-stage model predictive control for voltage collapse prevention. In: Power symposium. NAPS’08. 40th North American. IEEE Press, New York, pp 1–7
Hooshmand R (2005) Application of a genetic algorithm in the reduction of loss and control of the voltage of distribution networks using the real optimization of fixed and switched capacitors. Eur Trans Electr Power 15(5):425–442
Hooshmand RA, Mohkami H (2011) New optimal placement of capacitors and dispersed generators using bacterial foraging oriented by particle swarm optimization algorithm in distribution systems. Electr Eng 93(1):43–53
John E, Yıldırım EA (2008) Implementation of warm-start strategies in interior-point methods for linear programming in fixed dimension. Comput Optim Appl 41(2):151–183
Kennel R, Linder A, Linke M (2001) Generalized predictive control (gpc)-ready for use in drive applications? In: PESC. 2001 IEEE 32nd annual power electronics specialists conference, vol 4. IEEE Press, New York, pp 1839–1844
Kennel R, Linder A (2000) Predictive control of inverter supplied electrical drives. In: Proceedings of the power electronics specialists conference (PESC 00), pp 761–766
Kouro S, Cortes P, Vargas R, Ammann U, Rodriguez Jose (2009) Model predictive control-a simple and powerful method to control power converters. IEEE Trans Ind Electr 56(6):1826–1838
Larsson M, Hill DJ, Olsson G (2002) Emergency voltage control using search and predictive control. Int J Electr Power Energy Syst 24(2):121–130
Lei X, Lerch E, Povh D (1999) Genetic algorithm solution to economic dispatch problems. Eur Trans Electr Power 9(6):347–353
Lopes JA, Hatziargyriou N, Mutale J, Djapic P, Jenkins N (2007) Integrating distributed generation into electric power systems: a review of drivers, challenges and opportunities. Electr Power Syst Res 77(9):1189–1203
Mattingley J, Boyd S (2012) Cvxgen: a code generator for embedded convex optimization. Optim Eng 13(1):1–27
Moradi MH, Abedini M (2012) A combination of genetic algorithm and particle swarm optimization for optimal dg location and sizing in distribution systems. Int J Electr Power Energy Syst 34(1):66–74
Gurobi Optimization Inc. (2014) Gurobi optimizer reference manual (2012)
Rajagopalan A, Sengoden V, Govindasamy R (2014) Solving economic load dispatch problems using chaotic self-adaptive differential harmony search algorithm. Int Trans Electr Energy Syst. doi:10.1002/etep.1877
Rameshkhah F, Abedi M, Hosseinian SH (2010) Clustering of voltage control areas in power system using shuffled frog-leaping algorithm. Electr Eng 92(7–8):269–282
Ruiz-Rodriguez FJ, Jurado F, Gomez-Gonzalez M (2014) A hybrid method combining JFPSO and probabilistic three-phase load flow for improving unbalanced voltages in distribution systems with photovoltaic generators. Electr Eng 96(3):275–286
Secui DC (2013) A method based on the ant colony optimization algorithm for dynamic economic dispatch with valve-point effects. Int Trans Electr Energy Syst. doi:10.1002/etep.1841
Sharma P, Thukaram D (2012) Reactive power and voltage control in grid connected wind farms. In: 7th IEEE international conference on industrial and information systems (ICIIS). IEEE Press, New York, pp 1–6
Chun-Lien S (2010) Stochastic evaluation of voltages in distribution networks with distributed generation using detailed distribution operation models. IEEE Trans Power Syst 25(2):786–795
Teninge A (2009) Participation aux services systeme de parcs eoliens mixtes: application en milieu insulaire. PhD thesis, Institut National Polytechnique de Grenoble-INPG
Marina T, Papathanassiou S (2009) A review of grid code technical requirements for wind farms. IET Renew Power Gener 3(3):308–332
Vaisakh K, Srinivas LR, Kala M (2013) Genetic evolving ant direction psodv hybrid algorithm for opf with non-smooth cost functions. Electr Eng 95(3):185–199
Valverde G, Van Cutsem T (2013) Control of dispersed generation to regulate distribution and support transmission voltages. In PowerTech (POWERTECH), 2013 IEEE Grenoble. IEEE Press, New York, pp 1–6
Valverde G, Van Cutsem T (2013) Model predictive control of voltages in active distribution networks. IEEE Trans Smart Grid 4(4):2152–2161
Van Cutsem T, Gustavo V (2013) Coordinated voltage control of distribution networks hosting dispersed generation
Wang L (2009) Model predictive control system design and implementation using MATLAB\(textregistered\). Springer, Berlin
Wang Y, Boyd S (2010) Fast model predictive control using online optimization. IEEE Trans Control Syst Technol 18(2):267–278
Yildirim AE, Wright SJ (2002) Warm-start strategies in interior-point methods for linear programming. SIAM J Optim 12(3):782–810
Zong Y, Kullmann D, Thavlov A, Gehrke O (2012) Application of model predictive control for active load management in a distributed power system with high wind penetration. IEEE Trans Smart Grid 3(2):1055–1062
Acknowledgments
The author would like to greatly acknowledge the contribution of Prof. Xavier Guillaud, Dr. Asma Merdassi and Dr. Alexandre Teninge. This article would not be possible without their guidance during the master thesis of the author.
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Ahmed, H. Reactive power and voltage control in grid-connected wind farms: an online optimization based fast model predictive control approach. Electr Eng 97, 35–44 (2015). https://doi.org/10.1007/s00202-014-0314-1
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DOI: https://doi.org/10.1007/s00202-014-0314-1