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28.06.2024 | Original Paper

Design of cascade P-P-FOPID controller based on marine predators algorithm for load frequency control of electric power systems

verfasst von: Jahanzeab Hussain, Runmin Zou, Samina Akhtar, Khalid A. Abouda

Erschienen in: Electrical Engineering | Ausgabe 1/2025

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Abstract

As power network complexity increases, efficient control of frequency deviations and tie-line power fluctuations becomes crucial. Load frequency control (LFC) addresses these issues by managing generation-consumption mismatches. This paper introduces a unique P-P-FOPID cascade controller for LFC, combining a proportional controller with a fractional-order PID. The marine predators algorithm (MPA), known for its benefits like being parameter-less, derivative-free, user-friendly, flexible, and simple, is employed to optimize the controller’s parameters using the integral time absolute error criterion. Tested on three power systems, the proposed controller outperforms single-structure FOPID controller based on MPA and recent approaches in reducing ITAE, settling time, and frequency and tie-line power deviations. In comparative analysis, the proposed MPA-tuned P-P-FOPID controller achieves a 60% and 11% decrease in ITAE compared to the second-best DSA-optimized FOPI-FOPD controller for Systems 1 and 2, respectively, and a 25% decrease compared to the second-best MPA-tuned FOPID controller for System 3. Furthermore, the controller’s robustness against parametric uncertainties is confirmed through variations in fundamental parameters.

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Literatur
1.
Zurück zum Zitat Ram Babu N, Bhagat SK, Saikia LC, Chiranjeevi T, Devarapalli R, García Márquez FP (2023) A comprehensive review of recent strategies on automatic generation control/load frequency control in power systems. Archiv Comput Methods Eng 30:543–572MATH Ram Babu N, Bhagat SK, Saikia LC, Chiranjeevi T, Devarapalli R, García Márquez FP (2023) A comprehensive review of recent strategies on automatic generation control/load frequency control in power systems. Archiv Comput Methods Eng 30:543–572MATH
2.
Zurück zum Zitat Sabahi K, Ghaemi S, Pezeshki S (2014) Application of type-2 fuzzy logic system for load frequency control using feedback error learning approaches. Appl Soft Comput 21:1–11MATH Sabahi K, Ghaemi S, Pezeshki S (2014) Application of type-2 fuzzy logic system for load frequency control using feedback error learning approaches. Appl Soft Comput 21:1–11MATH
3.
Zurück zum Zitat Shafei MAR, Ibrahim DK, Bahaa M (2022) Application of PSO tuned fuzzy logic controller for LFC of two-area power system with redox flow battery and PV solar park. Ain Shams Eng J 13:101710 Shafei MAR, Ibrahim DK, Bahaa M (2022) Application of PSO tuned fuzzy logic controller for LFC of two-area power system with redox flow battery and PV solar park. Ain Shams Eng J 13:101710
4.
Zurück zum Zitat Rosaline AD, Somarajan U (2019) Structured H-infinity controller for an uncertain deregulated power system. IEEE Trans Ind Appl 55:892–906MATH Rosaline AD, Somarajan U (2019) Structured H-infinity controller for an uncertain deregulated power system. IEEE Trans Ind Appl 55:892–906MATH
5.
Zurück zum Zitat Saikia LC, Mishra S, Sinha N, Nanda J (2011) Automatic generation control of a multi area hydrothermal system using reinforced learning neural network controller. Int J Electr Power Energy Syst 33:1101–1108MATH Saikia LC, Mishra S, Sinha N, Nanda J (2011) Automatic generation control of a multi area hydrothermal system using reinforced learning neural network controller. Int J Electr Power Energy Syst 33:1101–1108MATH
6.
Zurück zum Zitat Fathy A, Kassem AM (2019) Antlion optimizer-ANFIS load frequency control for multi-interconnected plants comprising photovoltaic and wind turbine. ISA Trans 87:282–296 Fathy A, Kassem AM (2019) Antlion optimizer-ANFIS load frequency control for multi-interconnected plants comprising photovoltaic and wind turbine. ISA Trans 87:282–296
7.
Zurück zum Zitat Selvaraju RK, Somaskandan G (2017) ACS algorithm tuned ANFIS-based controller for LFC in deregulated environment. J Appl Res Technol 15:152–166 Selvaraju RK, Somaskandan G (2017) ACS algorithm tuned ANFIS-based controller for LFC in deregulated environment. J Appl Res Technol 15:152–166
8.
Zurück zum Zitat Tran A-T, Le Ngoc Minh B, Tran PT, Huynh VV, Phan V-D, Pham V-T, Nguyen TM (2021) Adaptive integral second-order sliding mode control design for load frequency control of large-scale power system with communication delays. Complexity 2021:5564184MATH Tran A-T, Le Ngoc Minh B, Tran PT, Huynh VV, Phan V-D, Pham V-T, Nguyen TM (2021) Adaptive integral second-order sliding mode control design for load frequency control of large-scale power system with communication delays. Complexity 2021:5564184MATH
9.
Zurück zum Zitat Cui M, Zhao Y, Cao P, Tang Y, Lu Y (2024) Load frequency control of interconnected hydrothermal power system based on FOPI + FOPD controller. Int J Dyn Control 12:1073–1085 Cui M, Zhao Y, Cao P, Tang Y, Lu Y (2024) Load frequency control of interconnected hydrothermal power system based on FOPI + FOPD controller. Int J Dyn Control 12:1073–1085
10.
Zurück zum Zitat Daraz A, Malik SA, Mokhlis H, Haq IU, Laghari GF, Mansor NN (2020) Fitness dependent optimizer-based automatic generation control of multi-source interconnected power system with non-linearities. IEEE Access 8:100989–101003MATH Daraz A, Malik SA, Mokhlis H, Haq IU, Laghari GF, Mansor NN (2020) Fitness dependent optimizer-based automatic generation control of multi-source interconnected power system with non-linearities. IEEE Access 8:100989–101003MATH
11.
Zurück zum Zitat Wang P, Chen X, Zhang Y, Zhang L, Huang Y (2024) Fractional-order load frequency control of an interconnected power system with a hydrogen energy-storage unit. Fractal and Fractional 8:126MATH Wang P, Chen X, Zhang Y, Zhang L, Huang Y (2024) Fractional-order load frequency control of an interconnected power system with a hydrogen energy-storage unit. Fractal and Fractional 8:126MATH
12.
Zurück zum Zitat Zhou X, Gao H, Zhao B, Zhao L (2018) A GA-based parameters tuning method for an ADRC controller of ISP for aerial remote sensing applications. ISA Trans 81:318–328MATH Zhou X, Gao H, Zhao B, Zhao L (2018) A GA-based parameters tuning method for an ADRC controller of ISP for aerial remote sensing applications. ISA Trans 81:318–328MATH
13.
Zurück zum Zitat Çelik E (2020) Improved stochastic fractal search algorithm and modified cost function for automatic generation control of interconnected electric power systems. Eng Appl Artif Intell 88:103407MATH Çelik E (2020) Improved stochastic fractal search algorithm and modified cost function for automatic generation control of interconnected electric power systems. Eng Appl Artif Intell 88:103407MATH
14.
Zurück zum Zitat Guha D, Roy PK, Banerjee S (2020) Whale optimization algorithm applied to load frequency control of a mixed power system considering nonlinearities and PLL dynamics. Energy Syst 11:699–728MATH Guha D, Roy PK, Banerjee S (2020) Whale optimization algorithm applied to load frequency control of a mixed power system considering nonlinearities and PLL dynamics. Energy Syst 11:699–728MATH
15.
Zurück zum Zitat Mbuli N, Ngaha WS (2022) A survey of big bang big crunch optimisation in power systems. Renew Sustain Energy Rev 155:111848MATH Mbuli N, Ngaha WS (2022) A survey of big bang big crunch optimisation in power systems. Renew Sustain Energy Rev 155:111848MATH
16.
Zurück zum Zitat Ibrahim MH, Peng AS, Dani MN, Khalil A, Law KH, Yunus S, Rahman MI, Au TW (2023) A Novel computation of delay margin based on grey wolf optimisation for a load frequency control of two-area-network power systems. Energies 16:2860 Ibrahim MH, Peng AS, Dani MN, Khalil A, Law KH, Yunus S, Rahman MI, Au TW (2023) A Novel computation of delay margin based on grey wolf optimisation for a load frequency control of two-area-network power systems. Energies 16:2860
17.
Zurück zum Zitat C. Andic, S. Ozumcan, M. Varan, and A. Ozturk, (2023) A novel sea horse optimizer based load frequency controller for two-area power system with pv and thermal units, in: preprints, Preprints (eds) C. Andic, S. Ozumcan, M. Varan, and A. Ozturk, (2023) A novel sea horse optimizer based load frequency controller for two-area power system with pv and thermal units, in: preprints, Preprints (eds)
18.
Zurück zum Zitat Sahoo G, Sahu RK, Panda S, Samal NR, Arya Y (2023) Modified harris hawks optimization-based fractional-order fuzzy PID controller for frequency regulation of multi-micro-grid. Arabian J Sci Eng 48:14381–14405MATH Sahoo G, Sahu RK, Panda S, Samal NR, Arya Y (2023) Modified harris hawks optimization-based fractional-order fuzzy PID controller for frequency regulation of multi-micro-grid. Arabian J Sci Eng 48:14381–14405MATH
19.
Zurück zum Zitat Morsali J, Zare K, Tarafdar Hagh M (2017) Applying fractional order PID to design TCSC-based damping controller in coordination with automatic generation control of interconnected multi-source power system. Eng Sci Technol Int J 20:1–17MATH Morsali J, Zare K, Tarafdar Hagh M (2017) Applying fractional order PID to design TCSC-based damping controller in coordination with automatic generation control of interconnected multi-source power system. Eng Sci Technol Int J 20:1–17MATH
20.
Zurück zum Zitat Daraz A, Malik SA, Basit A, Aslam S, Zhang G (2023) Modified FOPID controller for frequency regulation of a hybrid interconnected system of conventional and renewable energy sources. Fractal and Fractional 7:89 Daraz A, Malik SA, Basit A, Aslam S, Zhang G (2023) Modified FOPID controller for frequency regulation of a hybrid interconnected system of conventional and renewable energy sources. Fractal and Fractional 7:89
21.
Zurück zum Zitat Ismail MM, Bendary AF (2018) Load frequency control for multi area smart grid based on advanced control techniques. Alexandria Eng J 57:4021–4032MATH Ismail MM, Bendary AF (2018) Load frequency control for multi area smart grid based on advanced control techniques. Alexandria Eng J 57:4021–4032MATH
22.
Zurück zum Zitat Babaei F, Lashkari ZB, Safari A, Farrokhifar M, Salehi J (2020) Salp swarm algorithm-based fractional-order PID controller for LFC systems in the presence of delayed EV aggregators. IET Electr Syst Trans 10:259–267 Babaei F, Lashkari ZB, Safari A, Farrokhifar M, Salehi J (2020) Salp swarm algorithm-based fractional-order PID controller for LFC systems in the presence of delayed EV aggregators. IET Electr Syst Trans 10:259–267
23.
Zurück zum Zitat Padhy S, Panda S, Mahapatra S (2017) A modified GWO technique based cascade PI-PD controller for AGC of power systems in presence of Plug in Electric Vehicles. Eng Sci Technol Int J 20:427–442MATH Padhy S, Panda S, Mahapatra S (2017) A modified GWO technique based cascade PI-PD controller for AGC of power systems in presence of Plug in Electric Vehicles. Eng Sci Technol Int J 20:427–442MATH
24.
Zurück zum Zitat Sivalingam R, Chinnamuthu S, Dash SS (2017) A hybrid stochastic fractal search and local unimodal sampling based multistage PDF plus (1+PI) controller for automatic generation control of power systems. J Franklin Inst 354:4762–4783MathSciNetMATH Sivalingam R, Chinnamuthu S, Dash SS (2017) A hybrid stochastic fractal search and local unimodal sampling based multistage PDF plus (1+PI) controller for automatic generation control of power systems. J Franklin Inst 354:4762–4783MathSciNetMATH
25.
Zurück zum Zitat Padhy S, Panda S (2017) A hybrid stochastic fractal search and pattern search technique based cascade PI-PD controller for automatic generation control of multi-source power systems in presence of plug in electric vehicles. CAAI Trans Intell Technol 2:12–25MATH Padhy S, Panda S (2017) A hybrid stochastic fractal search and pattern search technique based cascade PI-PD controller for automatic generation control of multi-source power systems in presence of plug in electric vehicles. CAAI Trans Intell Technol 2:12–25MATH
26.
Zurück zum Zitat Çelik E, Öztürk N, Arya Y, Ocak C (2021) (1 + PD)-PID cascade controller design for performance betterment of load frequency control in diverse electric power systems. Neural Comput Appl 33:15433–15456 Çelik E, Öztürk N, Arya Y, Ocak C (2021) (1 + PD)-PID cascade controller design for performance betterment of load frequency control in diverse electric power systems. Neural Comput Appl 33:15433–15456
27.
Zurück zum Zitat Çelik E (2021) Design of new fractional order PI–fractional order PD cascade controller through dragonfly search algorithm for advanced load frequency control of power systems. Soft Comput 25:1193–1217MATH Çelik E (2021) Design of new fractional order PI–fractional order PD cascade controller through dragonfly search algorithm for advanced load frequency control of power systems. Soft Comput 25:1193–1217MATH
28.
Zurück zum Zitat Barakat M (2022) Novel chaos game optimization tuned-fractional-order PID fractional-order PI controller for load-frequency control of interconnected power systems. Prot Control Mod Power Syst 7:1–20MATH Barakat M (2022) Novel chaos game optimization tuned-fractional-order PID fractional-order PI controller for load-frequency control of interconnected power systems. Prot Control Mod Power Syst 7:1–20MATH
29.
Zurück zum Zitat Güler Y, Kaya I (2023) Load frequency control of single-area power system with PI–PD controller design for performance improvement. J Electr Eng Technol 18:2633–2648MATH Güler Y, Kaya I (2023) Load frequency control of single-area power system with PI–PD controller design for performance improvement. J Electr Eng Technol 18:2633–2648MATH
30.
Zurück zum Zitat Singh K, Arya Y (2023) Tidal turbine support in microgrid frequency regulation through novel cascade Fuzzy-FOPID droop in de-loaded region. ISA Trans 133:218–232MATH Singh K, Arya Y (2023) Tidal turbine support in microgrid frequency regulation through novel cascade Fuzzy-FOPID droop in de-loaded region. ISA Trans 133:218–232MATH
31.
Zurück zum Zitat Pathak PK, Yadav AK, Shastri A, Alvi PA (2023) BWOA assisted PIDF-(1+I) controller for intelligent load frequency management of standalone micro-grid. ISA Trans 132:387–401 Pathak PK, Yadav AK, Shastri A, Alvi PA (2023) BWOA assisted PIDF-(1+I) controller for intelligent load frequency management of standalone micro-grid. ISA Trans 132:387–401
32.
Zurück zum Zitat Al-Betar MA, Awadallah MA, Makhadmeh SN, Alyasseri ZAA, Al-Naymat G, Mirjalili S (2023) Marine predators algorithm: a review. Archiv Comput Methods Eng 30:3405–3435 Al-Betar MA, Awadallah MA, Makhadmeh SN, Alyasseri ZAA, Al-Naymat G, Mirjalili S (2023) Marine predators algorithm: a review. Archiv Comput Methods Eng 30:3405–3435
33.
Zurück zum Zitat Faramarzi A, Heidarinejad M, Mirjalili S, Gandomi AH (2020) Marine predators algorithm: a nature-inspired metaheuristic. Expert Syst Appl 152:113377 Faramarzi A, Heidarinejad M, Mirjalili S, Gandomi AH (2020) Marine predators algorithm: a nature-inspired metaheuristic. Expert Syst Appl 152:113377
34.
Zurück zum Zitat Sahlol AT, Yousri D, Ewees AA, Al-qaness MAA, Damasevicius R, Elaziz MA (2020) COVID-19 image classification using deep features and fractional-order marine predators algorithm. Scientific Rep 10:15364MATH Sahlol AT, Yousri D, Ewees AA, Al-qaness MAA, Damasevicius R, Elaziz MA (2020) COVID-19 image classification using deep features and fractional-order marine predators algorithm. Scientific Rep 10:15364MATH
35.
Zurück zum Zitat Soliman MA, Hasanien HM, Alkuhayli A (2020) Marine predators algorithm for parameters identification of triple-diode photovoltaic models. IEEE Access 8:155832–155842 Soliman MA, Hasanien HM, Alkuhayli A (2020) Marine predators algorithm for parameters identification of triple-diode photovoltaic models. IEEE Access 8:155832–155842
36.
Zurück zum Zitat Vankadara SK, Chatterjee S, Balachandran PK, Mihet-Popa L (2022) Marine predator algorithm (MPA)-based MPPT technique for solar PV systems under partial shading conditions. Energies 15:6172MATH Vankadara SK, Chatterjee S, Balachandran PK, Mihet-Popa L (2022) Marine predator algorithm (MPA)-based MPPT technique for solar PV systems under partial shading conditions. Energies 15:6172MATH
37.
Zurück zum Zitat Padhy S, Sahu PR, Panda S, Padmanaban S, Guerrero JM, Khan B (2022) Marine predator algorithm based PD-(1+PI) controller for frequency regulation in multi-microgrid system. IET Renew Power Gener 16:2136–2151 Padhy S, Sahu PR, Panda S, Padmanaban S, Guerrero JM, Khan B (2022) Marine predator algorithm based PD-(1+PI) controller for frequency regulation in multi-microgrid system. IET Renew Power Gener 16:2136–2151
38.
Zurück zum Zitat Halmous A, Oubbati Y, Lahdeb M, Arif S (2023) Design a new cascade controller PD-P-PID optimized by marine predators algorithm for load frequency control. Soft Comput 27:9551–9564 Halmous A, Oubbati Y, Lahdeb M, Arif S (2023) Design a new cascade controller PD-P-PID optimized by marine predators algorithm for load frequency control. Soft Comput 27:9551–9564
39.
Zurück zum Zitat Al-Saggaf U, Mehedi I, Bettayeb M, Mansouri R (2016) Fractional-order controller design for a heat flow process. Proc Inst Mech Eng Part I J Syst Control Eng 230:680–691MATH Al-Saggaf U, Mehedi I, Bettayeb M, Mansouri R (2016) Fractional-order controller design for a heat flow process. Proc Inst Mech Eng Part I J Syst Control Eng 230:680–691MATH
40.
Zurück zum Zitat Mousavi Y, Alfi A (2015) A memetic algorithm applied to trajectory control by tuning of Fractional Order proportional-integral-derivative controllers. Appl Soft Comput 36:599–617MATH Mousavi Y, Alfi A (2015) A memetic algorithm applied to trajectory control by tuning of Fractional Order proportional-integral-derivative controllers. Appl Soft Comput 36:599–617MATH
41.
Zurück zum Zitat Azarmi R, Tavakoli-Kakhki M, Sedigh AK, Fatehi A (2015) Analytical design of fractional order PID controllers based on the fractional set-point weighted structure: case study in twin rotor helicopter. Mechatronics 31:222–233MATH Azarmi R, Tavakoli-Kakhki M, Sedigh AK, Fatehi A (2015) Analytical design of fractional order PID controllers based on the fractional set-point weighted structure: case study in twin rotor helicopter. Mechatronics 31:222–233MATH
42.
Zurück zum Zitat Oustaloup A, Levron F, Mathieu B, Nanot FM (2000) Frequency-band complex noninteger differentiator: characterization and synthesis. IEEE Trans Circuits Syst I Fundam Theory Appl 47:25–39MATH Oustaloup A, Levron F, Mathieu B, Nanot FM (2000) Frequency-band complex noninteger differentiator: characterization and synthesis. IEEE Trans Circuits Syst I Fundam Theory Appl 47:25–39MATH
Metadaten
Titel
Design of cascade P-P-FOPID controller based on marine predators algorithm for load frequency control of electric power systems
verfasst von
Jahanzeab Hussain
Runmin Zou
Samina Akhtar
Khalid A. Abouda
Publikationsdatum
28.06.2024
Verlag
Springer Berlin Heidelberg
Erschienen in
Electrical Engineering / Ausgabe 1/2025
Print ISSN: 0948-7921
Elektronische ISSN: 1432-0487
DOI
https://doi.org/10.1007/s00202-024-02551-0