Comparison and Analysis of Dynamic Behavior of Load Frequency Control in Power System with Steam, Hydro and Gas Power Plants

Document Type : Research Paper

Author

Department of Electrical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran

10.22104/hfe.2024.6619.1283

Abstract

Various methods are used to produce electrical energy, each of which has its own advantages and disadvantages. The power plant is one of the important parts of the power system, which is responsible for the proper production of electrical energy. In this paper, the dynamic behavior of frequency load control is compared and analyzed for three power systems, each of which includes a steam power plant, a hydro power plant, and a gas power plant. The state equations of each system are expressed separately, and then using the analysis of eigenvalues (system modes), the dynamic behavior of the power system is shown for changes in the consumption load. The power system model is simulated in MATLAB software and they show the correctness of the analysis of eigenvalues. Also, the power system model in Simulink MATLAB for each power plant is separately designed and the correctness of the results is shown. The frequency response of the transfer function, frequency changes to load demand changes, is shown in each production unit. The results of simulation and examination of the power system modes show that the steady state response of the three production units are similar to step changes in the load demand, and only the speed of reaching the steady state will be different in them.

Keywords

Main Subjects


[1[ A. Qazi, F. Hussain, N. Rahim, G. Hardaker, D.Alghazzawi, K. Shaban, K. Haruna, “Towards sustainable energy: A systematic review of renewable energy sources, technologies, and public opinions”,IEEE Access, vol. 7, pp. 63837-63851, 2019, doi:10.1109/ACCESS.2019.2906402.
[2[ R. Hemmati, “Optimal operation of electric vehicle charging station based on 100% renewable energy for supplying cryptocurrency mining farm and critical loads in off-grid and grid-tied states”, Journal of Intelligent Procedures in Electrical Technology,vol. 16, no. 61, pp. 177-195, June 2025.
[3[ G. Shahgholian, «An overview of hydroelectric power plant: Operation, modeling, and control»,Journal of Renewable Energy and Environment,vol. 7, no. 3, pp. 14-28, July 2020 (10.30501/JREE.2020.221567.1087).
[4[ M. Mahdavi, D. Vera, “Importance of renewable energy sources and agricultural biomass in providing primary energy demand for Morocco”, International Journal of Hydrogen Energy, vol. 48,no. 88, pp. 34575-34598, Oct. 2023, https://doi.
org/10.1016/j.ijhydene.2023.05.246.
[5[ B. Fani, F. Mesrinejad, S. Yaghoubi, H. Alhelou,“Improved dynamic performance in interconnected
power system using secondary frequency control”,International Journal of Smart Electrical Engineering, vol. 12, no. 2, pp. 27-133, July 2023, doi:10.30495/ijsee.2023.1973728.1239.
[6[ B. Wang, C. Wang, Z. Wang, H. Xue, S. Ni, “Adaptive energy estimation for supercapacitor based on a real-time voltage state observer in electric vehicle applications”, IEEE Trans. on Power Electronics, vol. 36, no. 7, pp. 7337-7341, July 2021, doi:10.1109/TPEL.2020.3044889.
[7[ M. Zangeneh, E. Aghajari, M. Forouzanfar, “Implementation of smart fuzzy logic strategy to manage energy resources of a residential power system integrating solar energy and storage system using arduino boards”, Journal of Intelligent Procedures in Electrical Technology, vol. 13, no. 49, pp. 105-120, June 2022.
[8[ A. Ghaedi, M. Mahmoudian, R. Sedaghati, "Adequacy assessment of the power systems containing combined heat and power plants", Signal Processing and Renewable Energy, vol. 7, no. 2, pp. 69-89,June 2023.
[9[ B. Katanchi, A.A. Shojaei, M. Yaghoobi, “Presenting a novel hybrid approach for multi-objective distribution feeder reconfiguration considering the importance of reliability”, Journal of Intelligent Procedures in Electrical Technology, vol. 15, no.59, pp. 143-164, Dec. 2024.
[10[ S.A.R. Ahmadnezhad, R. Sadeghi, B. Fani, “Fast frequency support by wind farms using frequency deviation parameter and rotor torque limit of doubly fed induction generator”, Journal of Intelligent Procedures in Electrical Technology, vol. 16, no.63, pp. 109-126, Dec. 2025.
[11[ A.H. Tayebi, R. Sharifi, A. Salemi, F. Faghihi,"Investigating the effect of different penetration of renewable energy resources on islanded microgrid frequency control using a robust method», Signal Processing and Renewable Energy, vol. 5, no. 2, pp.15-34, June 2021.
[12[ M.J.B. Kabeyi, O.A. Olanrewaju, "The levelized cost of energy and modifications for use in electricity generation planning", Energy Reports, vol.9, no. 9, pp. 495-534, Sept. 2023.
[13[ K. Ramirez-Meyers, W.N. Mann, T.A. Deet jen, S.C. Johnson, J.D. Rhodes, M.E. Webber."How different power plant types contribute toelectric grid reliability, resilience, and vulnerability: a comparative analytical framework", Progress
in Energy, vol. 3, no. 3, Article Number: 033001,April 2021.
[14[ [2020-64[ N. Hakimuddin, I. Nasiruddin. T.S.Bhatti, Y. Arya, “Optimal automatic generation control with hydrothermal, gas, and wind power plants in 2-area interconnected power system”,Electric Power Components and Systems, vol. 48,
no. 6-7, pp. 558-571, Aug 2020, https://doi.org/10.1080/15325008.2020.1793829.
[15[ [16-168[ N. Pathak, A. Verma, T.S. Bhatti, “Automatic generation control of thermal power system under varying steam turbine dynamic model parameters based on generation schedules of theplants, The Journal of Engineering, vol. 2016, no.8, pp. 302-314, Aug. 2016. https://doi.org/10.1049/joe.2016.0178.
[16[ M. Wadi, A. Shobole, W. Elmasry, I. Kucuk,“Load frequency control in smart grids: A review of recent developments”, Renewable and Sustainable Energy Reviews, vol. 189, Article Number: 114013,Jan. 2024, doi: 10.1016/j.rser.2023.114013.
[17[ B. Keyvani-Boroujeni, B. Fani, G. Shahgholian,H.H. Alhelou, “Virtual impedance-based droop control scheme to avoid power quality and stability problems in VSI-dominated microgrids”, IEEE Access, vol. 9, pp. 144999-145011, Oct. 2021, doi:10.1109/ACCESS.2021.3122800.
[18[ K. Lee, S. Im, B. Lee, "A data-driven frequency criteria assessment by determining system minimum level of inertia", Energy Reports, vol. 9, no.10, pp. 1419-1428, Oct. 2023.
[19[ P. Liu, S. Han, N. Rong, J. Fan, "Frequency stability prediction of power systems using vision transformer and copula entropy", Entropy, vol. 24,no. 8, Article Number: 1165, Aug. 2022.
[20[ M. Ranjan, R. Shankar, "A literature survey on load frequency control considering renewable energy integration in power system: Recent trends and future prospects", Journal of Energy Storage, vol. 45, Article Nimber: 103717, Jan. 2022, doi:10.1016/j.est.2021.103717.
[21[ S.K. Pandey, S.R. Mohanty, N. Kishor, “A literature survey on load–frequency control for conventional and distribution generation power systems”,Renewable and Sustainable Energy Reviews,vol. 25, pp. 318-334, Sept. 2013, doi: 10.1016/j.
rser.2013.04.029.
[22[ [2022-30[ M.W. Siti, N.T. Mbungu, D.H. Tungadio, B.B. Banza, L. Ngoma, “Application of load frequency control method to a multi-microgrid with energy storage system”, Journal of Energy Storage, vol. 52, Article Number: 104629, Aug. 2022,https://doi.org/10.1016/j.est.2022.104629.
[23[ [2022-103[ A. Bakeer, G. Magdy, A. Chub, H.Bevrani, “A sophisticated modeling approach for photovoltaic systems in load frequency control”,International Journal of Electrical Power & Energy Systems, vol. 134, Article Number: 107330, Jan.
2022, https://doi.org/10.1016/j.ijepes.2021.107330.
[24[ G. Haghshenas, S.M.M. Mirtalaei, H. Mordmand, G. Shahgholian, «High step-up boost-flyback converter with soft switching for photovoltaic applications», Journal of Circuits, Systems, and Computers, vol. 28, no. 1, pp. 1-16, Jan. 2019.
[25[ N. Abdenouri, A. Zoukit, I. Salhi, S. Doubabi, “Model identification and fuzzy control of the tem-
perature inside an active hybrid solar indirect dryer”, Solar Energy, vol. 231, pp. 328-342, Jan. 2022.
[26[ M. Anand, D. Chatterjee, S.K. Goswami, A. Bhattachary, H.H. Kwon, M.J. Piran, “Loss minimization and voltage stability with optimum frequency determination of lf-hvac lines based on wind-hydrogas turbine unit”, IEEE Access, vol. 12, pp. 6799-6811, 2024, doi: 10.1109/ACCESS.2023.3347924.
[27[ N. Kazemi-Esfeh, M. Baharizadeh, “A decentralized control method based on virtual frequency-voltage frame for accurate active and reactive powers sharing in microgrids”, Journal of Intelligent Procedures in Electrical Technology, vol. 14,no. 55, pp. 55-66, Dec. 2023, dor: 20.1001.1.23223871.1402.14.55.5.3.
[28[ E. Aghadavoodi, G. Shahgholian, «A new practical feed-forward cascade analyze for close loop identification of combustion control loop system through RANFIS and NARX», Applied Thermal Engineering, vol. 133, pp. 381-395, Mar. 2018, doi:10.1016/j.applthermaleng.2018.01.075.
[29[ V. Rajaguru, K.I. Annapoorani, “Virtual synchronous generator based superconducting magnetic energy storage unit for load frequency control of micro-grid using African vulture optimization algorithm”, Journal of Energy Storage, vol. 65, Article Number: 107343, Aug. 2023.
[30[ H.L. Zeynelgil, A. Demirören, N.S. ┼×engör, “Load frequency control for power system with reheat steam turbine and governor deadband non-linearity by using neural network controller”, European Transactions on Electrical Power, vol. 12, no. 3, pp.179-164, March/June 2002.
[31[ B. Singh, S.S. Murthy, R.R. Chilipi, S. Madishetti, G. Bhuvaneswari, "Static synchronous compensator-variable frequency drive for voltage and frequency control of small-hydro driven self-excited induction generators system", IET Generation,Transmission and Distribution, vol. 8, no. 9, pp.1528–1538, Sep. 2014.
[32[ A. Khanjanzadeh, S. Soleymani, B. Mozafari, M.Fotuhi, «Integrated multi-area power system with HVDC tie-line to enhance load frequency control and automatic generation control», Electrical Engineering, vol. 102, pp. 1223-1239, 2020.
[33[ G. Chen, Z. Li, Z. Zhang, S. Li, «An improved ACO algorithm optimized fuzzy PID controller for load frequency control in multi area interconnected power systems», IEEE Access, vol. 8, pp. 6429-6447, 2020.
[34[ Q. Zhong, S. Hu, L. Yan, H. Zhou, J. Yang, K.Shi, S. Zhong, “Adaptive event-triggered PID load frequency control for multi-area interconnected wind power systems under aperiodic DoS attacks”,Expert Systems with Applications, vol. 241, Article Number: 122420, May 2024, doi: 10.1016/j.eswa.2023.122420.
[35[ [19-162[ N. Pathak, A. Verma, T. S. Bhatti and I.Nasiruddin, “Modeling of HVDC tie links and their utilization in AGC/LFC operations of multiarea power systems”, IEEE Trans. on Industrial Electronics, vol. 66, no. 3, pp. 2185-2197, March 2019(doi: 10.1109/TIE.2018.2835387).
[36[ V.V. Gautam, R. Loka, A.M. Parimi, “Cubature Kalman filter and linear quadratic regulator for load frequency control”, Electric Power Systems Research, vol. 222, Article Number: 109509, Sept.2023, doi: 10.1016/j.epsr.2023.109509.
[37[ D. Talah, H. Bentarzi, “Frequency control system effectiveness in a combined cycle gas turbine plant”, Engineering Proceedings, vol. 14, no. 1,pp. 1-7, Jan. 2022, https://doi.org/10.3390/engproc2022014001.
[38[ A. Fathy, A.M. Kassem, "Antlion optimizer-ANFIS load frequency control for multi-interconnected plants comprising photovoltaic and wind turbine",ISA Transactions, vol. 87, pp. 282-96,April2019,https://doi.org/10.1016/j.isatra.2018.11.035.
[39[ A. Pappachen, A. P. Fathima, «Critical researchareas on load frequency control issues in a deregulated power system: A state-of-the-art-of-review»,Renewable and Sustainable Energy Reviews,vol. 72, pp. 163-177, May 2017, doi: 10.1016/j.
rser.2017.01.053.
[40[ R. Shankar, S.R. Pradhan, K. Chatterjee, R. Mandal, «A comprehensive state of the art literature survey on LFC mechanism for power system»,Renewable and Sustainable Energy Reviews, vol.76, pp. 1185-1207, Sept. 2017, doi: 10.1016/j.rser.2017.02.064.
[41[ H.H. Ali, A. Fathy, A.M. Kassem, «Optimal model predictive control for LFC of multi-interconnected plants comprising renewable energy sources based on recent sooty terns approach», Sustainable Energy Technologies and Assessments, vol. 42, Article Number: 100844, Dec. 2020, doi: 10.1016/j.seta.2020.100844.
[42[ B. Keyvani-Boroujeni, G. Shahgholian, B. Fani,“A distributed secondary control approach for inverter-dominated microgrids with application to avoiding bifurcation-triggered instabilities”, IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 8, no. 4, pp. 3361-3371, Dec.2020, doi: 10.1109/JEStPE.2020.2974756.
[43[ M. Hashemi, G. Shahgholian, “Distributed robust adaptive control of high order nonlinear multi agent systems”, ISA Transactions, Vol. 74, pp. 14-27,March 2018, doi: 10.1016/j.isatra.2018.01.023.
[44[ D. Y. Kang, P. N. DeYoung, A. Malhotra, R. L.Owens, T. P. Coleman, ”A state space and density estimation framework for sleep staging in obstructive sleep apnea“, IEEE Trans. on Biomedical Engineering, vol. 65, no. 6, pp. 1201-1212, June 2018,doi: 10.1109/TBME.2017.2702123.
[45[ X. Yu, J. Zhang, C. Fan, S. Chen, «Stability analysis of governor-turbine-hydraulic system by state space method and graph theory», Energy, vol.114, pp. 613–622, Nov. 2016, doi: 10.1016/j.energy.2016.07.164.
[46[ E. Hosseini, N. Behzadfar, M. Hashemi, M.Moazzami, M. Dehghani, «Control of pitch angle in wind turbine based on doubly fed induction generator using fuzzy logic method», Journal of Renewable Energy and Environment, vol. 9, no. 2, pp. 1-7,May 2022, doi: 10.30501/jree.2021.293546.1226.
[47[ M.M. Aghajary, M. Hashemi, "Adaptive neural network dynamic surface control for nonlinear stochastic systems in the strict-feedback form with prandtl-ishlinskii hysteresis in the actuator», Journal of Intelligent Procedures in Electrical Technology, vol. 11, no. 42, pp. 15-27, Aug. 2020, https://dorl.net/dor/20.1001.1.23223871.1399.11.42.2.3.
[48[ J. Pirkandi, A. Maroufi, H. Penhani, "Performance analysis and working fluids selection of organic rankine cycle in a triple power generation system combined with gas turbine and solid oxide fuel cell cycles. Hydrogen", Fuel Cell and Energy Storage,vol. 10, no. 1, pp. 11-32, April 2023, doi: 10.22104/ijhfc.2023.5826.1246.
[49[ H.A. Ozgoli, "Exergy analysis of a molten carbonate fuel cell-turbo expander-steam turbine hybrid cycle", Hydrogen, Fuel Cell and Energy Storage, vol. 3, no. 4, pp. 267-279, Dec. 2016, doi:10.22104/ijhfc.2017.480.
[50[ A. Arastou, P. Ahmadi, M. Karrari, «Modeling and parameter estimation of a steam power plant including condenser back-pressure uncertainty using operational data», IEEE Systems Journal, vol.16, no. 2, pp. 2979-2988, June 2022, doi: 10.1109/JSYSt.2021.3122228.
[51[ A. Basem, M. Moawed, M.H. Abbood, W.M.El-Maghlany, “The design of a hybrid parabolic solar dish–steam power plant: An experimenta study”, Energy Reports, vol. 8, pp. 1949-1965,Nov. 2022, doi: 10.1016/j.egyr.2021.11.236.
[52[ H.A. Ozgoli, "Exergy analysis of a molten carbonate fuel cell-turbo expander-steam turbine hybrid cycle hydrogen", Fuel Cell and Energy Storage, vol. 3, no. 4, pp. 267-279, Dec. 2016, doi:10.22104/ijhfc.2017.480.
[53[ V.K. Singh, S.K. Singal, “Operation of hydro power plants- A review”, Renewable and Sustainable Energy Reviews, vol. 69, pp. 610-619, March 2017, doi: 10.1016/j.rser.2016.11.169.
[54[ D. Abdellatif, R. AbdelHady, A.M. Ibrahim, E.A.El-Zahab, «Conditions for economic competitiveness of pumped storage hydroelectric power plantsin Egypt», Renewables: Wind, Water, and Solar, vol. 5, no. 2, 2018, doi:10.1186/s40807-018-0048-1.
[55[ H. Fang, L. Chen, N. Dlakavu, Z. Shen, «Basic modeling and simulation tool for analysis of hydraulic transients in hydroelectric power plants», IEEE Trans. on Energy Conversion, vol.23, no. 3, pp. 834-841, June 2008, doi: 10.1109/
TEC.2008.921560.
[56[ E.J. Oliveira, L.M. Honorio, A.H. Anzai, L.W.Oliveira, E.B. Costa, «Optimal transient droop compensator and PID tuning for load frequency control in hydro power systems», International Journal of Electrical Power and Energy Systems,
Vol. 68, pp. 345-355, June 2015, doi: 10.1016/j.ijepes.2014.12.071.
[57[ H.A. Ozgoli, H. Ghadamian, "Energy price analysis of a biomass gasification-solid oxide fuel cell gas turbine power plant", doi: 10.22104/ijhfc.2016.327.
[58[ J. Chen, L. Liu, G. Liao, F. Zhang, E. Jiaqiang, S.Tan, “Design and off-design performance analysis of supercritical carbon dioxide Brayton cycles for gas turbine waste heat recovery”, Applied Thermal Engineering, vol. 235, Article Number: 121295, Nov.2023, doi: 10.1016/j.applthermaleng.2023.121295.
[59[ Y. Yang, T. Nikolaidis, S. Jafari, P. Pilidis, “Gas turbine engine transient performance and heat transfer effect modelling: A comprehensive review,research challenges, and exploring the future”, Applied Thermal Engineering, vol. 236, Article Number: 121523, Jan. 2024, doi: 10.1016/j.applthermaleng.2023.121523.
[60[ A.H.S. Weerakoon, M. Assadi, “Trends and advances in micro gas turbine technology for sustainable energy solutions: A detailed review”,Energy Conversion and Management, vol. 20, Article Number: 100483, Oct. 2023, doi: 10.1016/j.
ecmx.2023.100483.
[61[ R. Shankar, R. Bhushan, K. Chatterjee, "Small-signal stability analysis for two-area interconnected power system with load frequency controller in coordination with FACTS and energy storage device", Ain Shams Engineering Journal, vol. 7, no2, pp. 603-612, June 2016.
[62[ P.N. Topno, S. Chanana, "Load frequency control of a two-area multi-source power system using a tilt
integral derivative controller", Journal of Vibration and Control, vol. 24, no. 1, pp. 110-125, Jan. 2018.
[63[ A. Fernández-Guillamón, A. Vigueras-Rodríguez,Á. Molina-García, “Analysis of power system inertia estimation in high wind power plant integrationscenarios”, IET Renewable Power Generation, vol.13, no. 15, pp. 2807-2816, Nov. 2019, https://doi.org/10.1049/iet-rpg.2019.0220.
[64[ F. Sun, J. Sun, X. Zhang, H. Yang, X. Qian, P.Ye, "Measurement method of inertia constant of power system based on large-scale wind power grid connection", Energy Reports, vol. 8, no. 6,pp. 200-209, Sept. 2022, https://doi.org/10.1016/j.
egyr.2022.03.058.
[65[ W Bignell, H Saffron, T.T Nguyen, W.Derek Humpage, “Effects of machine inertia constants on Research, vol. 51, no. 3, pp. 153-165, Sept. 1999,https://doi.org/10.1016/S0378-7796(98)00163-1.