Fractional order PID controller design for LFC in electric power systems using imperialist competitive algorithm

Abstract In this paper, fractional order PID (FOPID) controller was proposed for load frequency control (LFC) in an interconnected power system. This controller had five parameters to be tuned; thus, it provided two more degrees of freedom in comparison with the conventional PID. For proper tuning of the controller parameters, imperialist competitive algorithm (ICA) was used. ICA is a new evolutionary algorithm with proved efficiency. In this study, simulation investigations were carried out on a three-area power system with different generating units. These results showed that FOPID controller was robust to the parameter changes in the power system. Also, the simulation results certified much better performance of FOPID controller for LFC in comparison with conventional PID controllers.

[1]  I. Podlubny.  Fractional differential equations , 1998 .

[2]  Young-Hyun Moon,et al.  Power system load frequency control using noise-tolerable PID feedback , 2001, ISIE 2001. 2001 IEEE International Symposium on Industrial Electronics Proceedings (Cat. No.01TH8570).

[3]  P. Kundur,et al.  Power system stability and control , 1994 .

[4]  Ajith Abraham,et al.  Design of fractional-order PIlambdaDµ controllers with an improved differential evolution , 2009, Eng. Appl. Artif. Intell..

[5]  Saptarshi Das,et al.  Chaotic multi-objective optimization based design of fractional order PIλDμ controller in AVR system , 2012, ArXiv.

[6]  Meng Xiuyun,et al.  Freestyle Fractional Order Controller Design with PSO for Weapon System , 2011 .

[7]  Siamak Talatahari,et al.  Optimum design of skeletal structures using imperialist competitive algorithm , 2010 .

[8]  Chia-Feng Juang,et al.  Load-frequency control by hybrid evolutionary fuzzy PI controller , 2006 .

[9]  Ali Feliachi,et al.  Robust load frequency control using genetic algorithms and linear matrix inequalities , 2003 .

[10]  K. B. Oldham,et al.  Analogue instrumentation for processing polarographic data , 1983 .

[11]  ValérioDuarte,et al.  Tuning of fractional PID controllers with Ziegler-Nichols-type rules , 2006 .

[12]  Fu Chuang,et al.  Anthropomorphic intelligent PID control and its application in the hydro turbine governor , 2002, Proceedings. International Conference on Machine Learning and Cybernetics.

[13]  Lixiang Li,et al.  Optimum design of fractional order PIλDμ controller for AVR system using chaotic ant swarm , 2012, Expert Syst. Appl..

[14]  Kamran Rezaie,et al.  Solving the integrated product mix-outsourcing problem using the Imperialist Competitive Algorithm , 2010, Expert Syst. Appl..

[15]  Farzad Razavi,et al.  A Mathematical Model for Urban Traffic and Traffic Optimization Using a Developed ICA Technique , 2011, IEEE Transactions on Intelligent Transportation Systems.

[16]  E. S. Ali,et al.  Bacteria foraging optimization algorithm based load frequency controller for interconnected power system , 2011 .

[17]  Nasser Sadati,et al.  Design of a fractional order PID controller for an AVR using particle swarm optimization , 2009 .

[18]  I. Podlubny,et al.  On Fractional Derivatives, Fractional-Order Dynamic Systems and PIW-controllers , 1997 .

[19]  Masood Aghakhani,et al.  Optimization of heat transfer in an air cooler equipped with classic twisted tape inserts using imperialist competitive algorithm , 2012 .

[20]  Jawad Talaq,et al.  Adaptive fuzzy gain scheduling for load frequency control , 1999 .

[21]  Young-Hyun Moon,et al.  Modified PID load-frequency control with the consideration of valve position limits , 1999, IEEE Power Engineering Society. 1999 Winter Meeting (Cat. No.99CH36233).

[22]  Mohammad Haeri,et al.  Robustness in fractional proportionalߝintegralߝderivative-based closed-loop systems , 2010 .

[23]  Hassen T. Dorrah,et al.  Design of aerospace control systems using fractional PID controller , 2012 .

[24]  I. Podlubny.  Fractional-order systems and PIλDμ-controllers , 1999, IEEE Trans. Autom. Control..

[25]  I. Podlubny,et al.  On fractional derivatives, fractional-order dynamic systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[26]  Allen J. Wood,et al.  Power Generation, Operation, and Control , 1984 .

[27]  Ahmed M. Kassem,et al.  Neural predictive controller of a two-area load frequency control for interconnected power system , 2010 .

[28]  Rafael Castro-Linares,et al.  Trajectory tracking for non-holonomic cars: A linear approach to controlled leader-follower formation , 2010, 49th IEEE Conference on Decision and Control (CDC).

[29]  M. Teshnehlab,et al.  Load frequency control in interconnected power system using multi-objective PID controller , 2008, 2008 IEEE Conference on Soft Computing in Industrial Applications.

[30]  S. Iwamoto,et al.  An Advanced LFC Design Considering Parameter Uncertainties in Power Systems , 2007, 2007 39th North American Power Symposium.

[31]  G. Sheblé,et al.  Power generation operation and control — 2nd edition , 1996 .

[32]  Amit Konar,et al.  Tuning PID and PI/λDδ Controllers using the Integral Time Absolute Error Criterion , 2008, 2008 4th International Conference on Information and Automation for Sustainability.

[33]  Ranjit Roy,et al.  Evolutionary computation based three-area automatic generation control , 2010, Expert Syst. Appl..

[34]  Serdar Ethem Hamamci.  An Algorithm for Stabilization of Fractional-Order Time Delay Systems Using Fractional-Order PID Controllers , 2007, IEEE Transactions on Automatic Control.

[35]  Rabindra Kumar Sahu,et al.  Design and analysis of differential evolution algorithm based automatic generation control for interconnected power system , 2013 .

[36]  B. Vahidi,et al.  A Solution to the Unit Commitment Problem Using Imperialistic Competition Algorithm , 2012, IEEE Transactions on Power Systems.

[37]  José António Tenreiro Machado,et al.  Fractional differentiation and its applications I , 2013, Comput. Math. Appl..

[38]  Y. Chen,et al.  A fractional order PID tuning algorithm for a class of fractional order plants , 2005, IEEE International Conference Mechatronics and Automation, 2005.

[39]  Duarte Valério,et al.  Tuning of fractional PID controllers with Ziegler-Nichols-type rules , 2006, Signal Process..

[40]  Wen Tan,et al.  Unified Tuning of PID Load Frequency Controller for Power Systems via IMC , 2010, IEEE Transactions on Power Systems.

[41]  Igor Podlubny,et al.  Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1999 .

[42]  Alireza Yazdizadeh,et al.  Decentralized load frequency control using a new robust optimal MISO PID controller , 2012 .

[43]  Behrooz Vahidi,et al.  A robust PID controller based on imperialist competitive algorithm for load-frequency control of power systems. , 2013, ISA transactions.

[44]  Caro Lucas,et al.  Imperialist competitive algorithm: An algorithm for optimization inspired by imperialistic competition , 2007, 2007 IEEE Congress on Evolutionary Computation.

[45]  Haluk Gozde,et al.  Comparative performance analysis of Artificial Bee Colony algorithm in automatic generation control for interconnected reheat thermal power system , 2012 .