Modified Fractional Order PID Controller for Load Frequency Control of Four Area Thermal Power System

(1) * Ahmed Mohammed Saba Mail (Ahmadu Balle University Zaria, Nigeria)
(2) Tajudeen Humble Sikiru Mail (Ahmadu Bello University Zaria, Nigeria)
(3) Ibrahim Bello Mail (Dyson Technology, United Kingdom)
(4) Ahmed Tijani Salawudeen Mail (University of Jos, Nigeria)
(5) Usman Alhaji Dodo Mail (Base University Abuja, Nigeria)
*corresponding author

Abstract


This paper presents the development of a modified Fractional Order Proportional Integral Derivative (FOPID) controller to mitigate frequency deviation in a four-area thermal power system. Change in load demand and noisy power system environment can cause frequency deviation. Reducing high-frequency deviation is very paramount in load frequency control. This is because large frequency deviation can cause the transmission line to be overloaded, which may damage transformers at the transmission level, damage mechanical devices at the generating stations and also damage consumer devices at the distribution level. The conventional PID has been widely used for this problem. However, the parameter values of the various generating units of the power system like generators, turbines and governors keep changing due to numerous on/off witching in the load side. As such, it is essential that the control strategy applied should have a good capability of handling uncertainties in the system parameters and good disturbance rejection. Fractional order PID controller is known to give a higher phase margin resulting in very good disturbance rejection, robustness to high-frequency noise and elimination of steady-state error. A four-area power system was designed, and FOPID was used as the supplementary controller to mitigate frequency deviation. Ant Lion Optimizer (ALO) algorithm was used to optimize the gains of the FOPID controller by minimizing Integral Square Error (ISE) as the objective function. Results obtained outperformed other designed methods available in the literature in terms of reducing frequency deviation, tie-line power deviation and area control error.

Keywords


Load frequency control; Fractional order PID controller; Ant lion optimizer algorithm; Integral square error

   

DOI

https://doi.org/10.31763/ijrcs.v3i2.957
      

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References


[1] A. M. Saba, “Fractional Order PID Controller for Minimizing Frequency Deviation in a Single and Multi-area Power System with Physical Constraints,” Journal of the Robotic and Control, vol. 3, no. 1, 2022, https://doi.org/10.18196/jrc.v3i1.11356.

[2] V. P. Singh, N. Kishor and P. Samuel, “Improved Load Frequency Control of Power System using LMI based PID approach,” Journal of the Franklin Institute, vol. 354, pp. 6805-6830, 2017, https://doi.org/10.1016/j.jfranklin.2017.08.031.

[3] R. Lamba, S. K. Singla, and S. Sondhi, “Design of fractional order PID controller for load frequency control in perturbed two area interconnected system,” Electric Power Components and Systems, vol. 47, no. 11-12, pp. 998-1011, 2019, https://doi.org/10.1080/15325008.2019.1660736.

[4] Md. N. Anwar and S. Pan, “A new PID Load Frequency Controller Design method in Frequency Domain through Direct Synthesis approach,” International Journal of Electrical Power and Energy Systems, vol. 67, pp. 560- 569, 2015, https://doi.org/10.1016/j.ijepes.2014.12.024.

[5] S. S. Aung and Z. M. Htike, “Modeling and Simulation of Load Frequency Control for Three Area Power System Using Proportional Integral Derivative (PID) Controller,” American Scientific Research Journal for Engineering, Technology, and Sciences (ASRJETS), vol. 26, no 2, pp. 301-315, 2016, https://core.ac.uk/download/pdf/235050067.pdf.

[6] K. Lu, W. Zhou, G. Zeng, and Y. Zheng, “Constrained population extremal optimization-based robust load frequency control of multi-area interconnected power system,” International Journal of Electrical Power & Energy Systems, vol. 105, pp. 249-271, 2019, https://doi.org/10.1016/j.ijepes.2018.08.043.

[7] P. Balasundaram and C. I. Akilandam, “ABC Algorithm based Load- Frequency Controller for an interconnected Power System Considering nonlinearities and Coordinated with UPFC and RFB,” International Journal of Engineering and Innovative Technology (IJEIT), vol. 1, no. 3, pp. 234-255, 2012, https://www.ijeit.com/vol%201/Issue%203/IJEIT1412201203_01.pdf.

[8] S. P. Behera and A. Biswal, “Design and Analysis of TIDF controller in AGC with Thyristor Controlled series capacitor,” International Journal of Innovative Research in Electrical, Electronics, Instrumentation and Control Engineering, vol. 5, no. 3, pp. 223.231, 2017, https://doi.org/10.17148/IJIREEICE.2017.5319.

[9] P. A. Gbadega and A. K. Saha, “Dynamic Tuning of the Controller Parameters in a Two-Area Multi-Source Power System for Optimal Load Frequency Control Performance,” International Journal of Engineering Research in Africa, vol. 51, pp. 111-129, 2020, https://doi.org/10.4028/www.scientific.net/JERA.51.111.

[10] J. Y. Cao and B. G. Cao, “Design of Fractional Order Controller Based on Particle Swarm Optimization,” International Journal of Control, Automation and Systems, vol. 4, no. 6, pp. 775-781, 2006, https://doi.org/10.1109/ICIEA.2006.257091.

[11] V. Celik, M. T. Ozdemir and G. Bayrak, “The effects on stability region of the fractional-order PI controller for one-area time-delayed load–frequency control systems,” Transactions of the Institute of Measurement and Control, vol. 1, pp. 1–13, 2016, https://doi.org/10.1177/0142331216642839.

[12] M. Chiranjeevi and V. S. G. Lakshmi, “Design of PSO based Fractional order Load Frequency controller for two area power system,” Journal of Electrical and Electronics Engineering (IOSR-JEEE), vol. 9, no. 6, pp. 67-74, 2014, https://doi.org/10.9790/1676-09626774.

[13] A. Delassi, S. Arif and L. Mokrani, “Load frequency control problem in interconnected power systems using robust fractional PIλD controller,” Ain Shams Engineering Journal, vol. 1, pp. 1-12, 2015, https://doi.org/10.1016/j.asej.2015.10.004.

[14] Y. Deng and W. Liu, “Model Predictive Load Frequency Control of Two Area Interconnected Time Delay Power System with TCSC,” 2nd Asia Conference on Power and Electrical Engineering (ACPEE), vol. 199, pp. 1-7, 2017, https://doi.org/10.1088/1757-899X/199/1/012064.

[15] E. E. Ejegi, “Model Predictive based load frequency control studies in a deregulated environment,” Ph.D. Thesis, The University of Sheffield, 2017, https://etheses.whiterose.ac.uk/17112/.

[16] H. Golpira, H. Bevrani and H. Golpira, “Application of GA Optimization for Automatic Generation Control Design in an Interconnected Power System,” Energy Conversion and Management, vol. 52, pp. 2247–2255, 2011, https://doi.org/10.1016/j.enconman.2011.01.010.

[17] H. Golpîra, H. Bevrani and H. Golpîra, “Effect of Physical Constraints on the AGC Dynamic Behaviour in an Interconnected Power System,” International Journal on Advanced Mechatronic Systems, vol. 3, no. 2, pp. 79–87, 2011, https://doi.org/10.1504/IJAMECHS.2011.040679.

[18] A. N. Gundes and L. Chow, “Controller Synthesis for Single-area and Multi-area Power Systems with Communication Delays,” American Control Conference (ACC), vol. 14, pp. 970-975, 2013, https://doi.org/10.1109/ACC.2013.6579962.

[19] A. Gupta, Y. P. Verma and A. Chauhan, “Effect of Physical Constraints on Load Frequency Control of Deregulated Hybrid Power System Integrated with DFIG Wind Turbine,” International Journal of Engineering and Technology (IJET), vol. 6 no. 6, pp. 2629-2640, 2015, https://d1wqtxts1xzle7.cloudfront.net/80382741/IJET14-06-06-182-libre.pdf.

[20] C. Huang, D. Yue, X. Xie and J. Xie, “Anti-Windup Load Frequency Controller Design for Multi-Area Power System with Generation Rate Constraint,” Energies, vol. 9, pp. 1-18, 2016, https://doi.org/10.3390/en9050330.

[21] S. Jian and V. Y. Hote, “PID Controller Design for Load Frequency Control: Past, Present and Future Challenges,” 3rd IFAC Conference on Advances in Proportional Integral-Derivative Control, Ghent, Belgium, vol. 2, pp. 604-609, 2018, https://doi.org/10.1016/j.ifacol.2018.06.162.

[22] A. Khodabakhshian and M. Edrisi, “A New Robust PID Load Frequency Controller,” Control Engineering Practice, vol. 16, pp. 1069–1080, 2008, https://doi.org/10.1016/j.conengprac.2007.12.003.

[23] G. Kou, P. Markham, S. Hadley, T. King and Y. Liu, “Impact of Governor Dead Band on Frequency Response of the U.S. Eastern Interconnection,” IEEE Transactions on Smart Grid, vol.12, pp. 1-10, 2015, https://doi.org/10.1109/TSG.2015.2435258.

[24] S. R. Krishna, P. Singh and M. S. Das, “Control of Load Frequency of Power System by PID Controller Using PSO,” International Journal of Recent Development in Engineering and Technology, vol. 5, no. 6, pp. 37-43, 2016, https://www.ijrdet.com/files/Volume5Issue6/IJRDET_0616_09.pdf.

[25] M. S. Kumar and S.K.V Smitha, “Design of Tuning Methods for Fractional Order PIλDμ Controller Using PSO Algorithm,” International Journal for Research in Applied Science & Engineering Technology (IJRASET), vol. 2, no. XII, pp. 436-442, 2014, http://cloud.politala.ac.id/politala/1.%20Jurusan/Teknik%20Informatika.

[26] S. Mirjalili, “The Ant Lion Optimization,” Advances in Engineering Software, vol. 83, pp. 80–98, 2015, https://doi.org/10.1016/j.advengsoft.2015.01.010.

[27] D. K. Mishra, A. Mohanty and P. Ray, “Multi-area Automatic Generation Control with FOPID and TID Controller,” International Journal of Control Theory and Application, vol. 10, no. 6, pp. 397-410, 2017, https://www.serialsjournals.com/abstract/69741_43-dillip_k._mishra.pdf.

[28] Y. Mobarak, “Effects of the Droop Speed Governor and Automatic Generation Control AGC on Generator Load Sharing of Power System,” International Journal of Applied Power Engineering (IJAPE), vol. 4, no. 2, pp. 84-95, 2015, https://doi.org/10.1109/CTPP.2014.7040611.

[29] J. Morsali, K. Zare and M. T. Hagh, “Appropriate Generation Rate Constraint (GRC) Modeling Method for Reheat Thermal Units to Obtain Optimal Load Frequency Controller (LFC),” The 5th Conference on Thermal Power Plants (IPGC), vol. 8, pp. 29-34, 2014, https://doi.org/10.1109/CTPP.2014.7040611.

[30] P. G. Naidu and R. G. Rao, “Load Frequency Control for Two-area Interconnected Power System by Using Sliding Mode Controller,” International Journal of Electrical, Electronics and Data Communication, vol. 4, no. 10, pp. 11-18, 2016, https://doi.org/10.1109/RTEICT42901.2018.9012156.

[31] M. Ozkop, I. H. Altas, and A. M. Sharaf, “Load Frequency Control in Four Area Power Systems Using Fuzzy Logic PI Controller,” 16th National Power Systems Conference, vol. 1, pp. 233-240, 2010, https://www.iitk.ac.in/npsc/Papers/NPSC2010/5016.pdf.

[32] I. Pan and S. Das, “Fractional-order load-frequency control of interconnected power systems using chaotic multi-objective optimization,” Applied and Soft Computing Journal, vol. 67, pp. 1–17, 2015, https://doi.org/10.1016/j.asoc.2014.12.032.

[33] D. G. Padhan and S. Majhi, “A New Control Scheme for PID Load Frequency Controller of Single-area and Multi-area Power Systems,” ISA Transactions, vol. 52, pp. 242–251, 2013, https://doi.org/10.1016/j.isatra.2012.10.003.

[34] S. Prakash and S. K. Sinha, “Intelligent PI Control Technique in Four Area Load Frequency Control of Interconnected Hydro-thermal Power System,” 2012 International Conference on Computing, Electronics and Electrical Technologies [ICCEET], vol. 2, pp. 145-150, 2012, https://doi.org/10.1109/ICCEET.2012.6203749.

[35] R. Satheeshkumar and R. Shivakumar, “Ant Lion Optimization Approach for Load Frequency Control of Multi-Area Interconnected Power Systems,” Circuits and Systems, vol. 7, pp. 2357-2383, 2016, https://doi.org/10.4236/cs.2016.79206.

[36] H. A. Shayanfar, H. Shayeghi and A. Molaee, “Multi-Source Power System LFC Using the Fractional Order PID Controller Based on SSO Algorithm Including Redox Flow Batteries and SMES,” International Conference on Artificial Intelligence, vol. 4, pp. 300-306, 2016, https://www.proquest.com/openview/bdbfe2bc1e94f2be170770c3ff37e573/1?pq-origsite=gscholar&cbl=1976349.

[37] V. P. Singh, N. Kishor and P. Samuel, “Communication Time Delay Estimation for Load Frequency Control in Two-area Power System,” Ad Hoc Networks, vol. 000, pp. 1–17, 2015, https://doi.org/10.1016/j.adhoc.2015.10.010.

[38] T. Aleksei, E. Petlenkov & J. Belikov, “FOMCON: a MATLAB Toolbox for Fractional-order System Identification and Control,” International Journal of Microelectronics and Computer Science, vol. 2, no. 2, pp. 51-62, 2011, https://www.infona.pl/resource/bwmeta1.element.baztech-article-LOD7-0029-0056.

[39] S. Sondhi and Y. V. Hote, “Fractional Order PID Controller for Load Frequency Control,” Energy Conversion and Management, vol. 85, pp. 343-353, 2014, https://doi.org/10.1016/j.enconman.2014.05.091.

[40] B. Sonker, D. Kumar, and P. Samuel, “A Modified Two-degree of Freedom Internal Model Control Configuration for Load Frequency Control of a Single Area Power System,” Turkish Journal of Electrical Engineering & Computer Sciences, vol. 25, pp. 4624-4635, 2017, https://doi.org/10.3906/elk-1701-225.

[41] W. Tan, “Tuning of PID Load Frequency Controller for Power Systems,” International Journal Energy Conversion and Management, vol. 50, pp. 1465–1472, 2009, https://doi.org/10.1016/j.enconman.2009.02.024.

[42] W. Tan, “Unified Tuning of PID Load Frequency Controller for Power Systems via IMC,” IEEE Transactions on Power Systems, vol. 25, no. 1, pp. 341-350, 2010, https://doi.org/10.1109/TPWRS.2009.2036463.

[43] W. Tan, “Decentralized Load Frequency Controller Analysis and Tuning for Multi-area Power Systems,” Energy Conversion and Management, vol. 52, pp. 2015–2023, 2011, https://doi.org/10.1016/j.enconman.2010.12.011.

[44] W. Tan, Y. Hao and D. Li D, “Load Frequency Control in Deregulated Environments via Active Disturbance Rejection,” Electrical Power and Energy Systems, vol. 66, pp. 166–177, 2015, https://doi.org/10.1016/j.enconman.2010.12.011.

[45] W. Tan, S. Chang and R. Zhou, “Load Frequency Control of Power Systems with Non-linearities,” Institute of Engineering and Technology Generation Transmission and Distribution., vol. 11, pp. 4307-4313, 2017, https://doi.org/10.1049/iet-gtd.2017.0599.

[46] J. M. Thangaiah, and R. Parthasarathy, “Delay‐dependent Stability Analysis of Power System Considering Communication Delays,” International Transaction on Electrical Energy System, vol. 20, pp. 1–13, 2016, https://doi.org/10.1002/etep.2260.

[47] A. Zamani, S. M. Barakati and S. Yousofi-Darmain, “Design of a Fractional Order PID Controller Using GBMO Algorithm for Load–Frequency Control with Governor Saturation Consideration,” ISA Transactions, vol. 45, pp. 1–11, 2016, https://doi.org/10.1016/j.isatra.2016.04.021.


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International Journal of Robotics and Control Systems
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