The imbalance between generated power and load demand often causes unwanted fluctuations in the frequency and tie-line power changes within a power system. To address this issue, a control process known as load frequency control (LFC) is essential. This study aims to optimize the parameters of the LFC controller for a two-area power system that includes a reheat thermal generator and a photovoltaic (PV) power plant. An innovative multi-stage TDn(1 + PI) controller is introduced to reduce the oscillations in frequency and tie-line power changes. This controller combines a tilt-derivative with an N filter (TDn) with a proportional-integral (PI) controller, which improves the system's response by correcting both steady-state errors and the rate of change. This design enhances the stability and speed of dynamic control systems. A new meta-heuristic optimization technique called bio-dynamic grasshopper optimization algorithm (BDGOA) is used for the first time to fine-tune the parameters of the proposed controller and improve its performance. The effectiveness of the controller is evaluated under various load demands, parameter variations, and nonlinearities. Comparisons with other controllers and optimization algorithms show that the BDGOA-TDn(1 + PI) controller significantly reduces overshoot in system frequency and tie-line power changes and achieves faster settling times for these oscillations. Simulation results demonstrate that the BDGOA-TDn(1 + PI) controller significantly outperforms conventional controllers, achieving a reduction in overshoot by 75%, faster settling times by 60%, and a lower integral of time-weighted absolute error by 50% under diverse operating conditions, including parameter variations and nonlinearities such as time delays and governor deadband effects.

Applied Science Research Center Applied Science Private University Amman 11931 Jordan

College of Engineering University of Business and Technology Jeddah 21448 Saudi Arabia

Department of Computer Engineering Batman University Batman Turkey

Department of Electrical Engineering Graphic Era Dehradun 248002 India

ENET Centre VSB Technical University of Ostrava Ostrava 708 00 Czech Republic

Faculty of Electrical Engineering Sahand University of Technology Tabriz Iran

Graphic Era Hill University Dehradun 248002 India

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Ranjan, M. & Shankar, R. A literature survey on load frequency control considering renewable energy integration in power system: recent trends and future prospects. DOI

Gulzar, M. M. et al. Load frequency control (LFC) strategies in renewable energy-based Hybrid Power systems: a review. DOI

Arya, Y. Automatic generation control of two-area electrical power systems via optimal fuzzy classical controller. DOI

Sattar, F. et al. A predictive tool for power system operators to ensure frequency stability for power grids with renewable energy integration. DOI

Sun, B. et al. An Energy Storage Capacity Configuration Method for a Provincial Power System considering Flexible Adjustment of the Tie-Line. DOI

Dunna, V. K. et al. Super-twisting MPPT control for grid-connected PV/battery system using higher order sliding mode observer. PubMed DOI PMC

Izci, D., Abualigah, L., Can, Ö., Andiç, C. & Ekinci, S. Achieving improved stability for automatic voltage regulation with fractional-order PID plus double-derivative controller and mountain gazelle optimizer.

Aribowo, W., Abualigah, L., Oliva, D. & Prapanca, A. A novel modified mountain gazelle optimizer for tuning parameter proportional integral derivative of DC motor.

Widi Aribowo, R. et al. Controlling parameters proportional integral derivative of DC motor using a gradient-based optimizer.

Premkumar, M. et al. Optimal operation and control of hybrid power systems with stochastic renewables and FACTS devices: an intelligent multi-objective optimization approach. DOI

Pandya, S. B. et al. Multi-objective RIME algorithm-based techno economic analysis for security constraints load dispatch and power flow including uncertainties model of hybrid power systems. DOI

Alsmadi, O., Abu-Hammour, Z. & Mahafzah, K. Digital systems model order reduction with substructure preservation and fuzzy logic control. DOI

Abualigah, L., Ekinci, S. & Izci, D. Aircraft Pitch Control via filtered proportional-integral-derivative Controller Design using Sinh Cosh Optimizer. DOI

Alrashed, M. M., Flah, A., Dashtdar, M., El-Bayeh, C. Z. & Elnaggar, M. F. Improving the control strategy of the DVR Compensator based on an adaptive notch filter with an optimized PD Controller using the IGWO Algorithm. DOI

Fadheel, B. A. et al. A Hybrid Sparrow Search Optimized Fractional Virtual Inertia Control for Frequency Regulation of Multi-Microgrid System.

Abualigah, L., Izci, D., Ekinci, S. & Zitar, R. A. Optimizing aircraft Pitch Control systems: a Novel Approach integrating Artificial rabbits optimizer with PID-F Controller. DOI

Izci, D. et al. Refined Sinh cosh optimizer tuned controller design for enhanced stability of automatic voltage regulation.

Izci, D. et al. A novel control scheme for automatic voltage regulator using novel modified artificial rabbits optimizer. DOI

Altawil, I. et al. Optimization of fractional order PI controller to regulate grid voltage connected photovoltaic system based on slap swarm algorithm. DOI

Abualigah, L., Ekinci, S., Izci, D. & Zitar, R. A. Modified Elite Opposition-based Artificial Hummingbird Algorithm for Designing FOPID Controlled Cruise Control System.

Sarayrah, A., Haj-ahmed, M. A. & Feilat, E. A. A Study of a Damping Control Based Predictive Strategy on an Inter-Area Power System.

Arya, Y. AGC of two-area electric power systems using optimized fuzzy PID with filter plus double integral controller. DOI

Ni, L., Li, Y., Zhang, L. & Wang, G. A modified aquila optimizer with wide plant adaptability for the tuning of optimal fractional proportional–integral–derivative controller. DOI

Sagor, A. R. et al. Pelican optimization algorithm-based proportional–integral–derivative Controller for Superior frequency regulation in interconnected Multi-area Power Generating System. DOI

Gulzar, M. M., Sibtain, D. & Khalid, M. Innovative design for enhancing transient stability with an ATFOPID controller in hybrid power systems. DOI

Qu, Z. et al. Optimized PID Controller for load frequency control in multi-source and Dual-Area Power Systems Using PSO and GA algorithms.

Mishra, A. K., Sharma, P., Siguerdidjane, H., Mishra, P. & Mathur, H. D. Maiden Application of Integral-Tilt Integral Derivative with Filter (I-TDN) Control structure for load frequency control. DOI

Arya, Y. AGC of PV-thermal and hydro-thermal power systems using CES and a new multi-stage FPIDF-(1 + PI) controller. DOI

Shayeghi, H. & Rahnama, A. Designing a PD-(1 + PI) controller for LFC of an entirely renewable microgrid using PSO-TVAC.

Parvin, K. et al. Intelligent Controllers and Optimization Algorithms for Building Energy Management towards Achieving Sustainable Development: challenges and prospects. DOI

Jabari, M. & Rad, A. Optimization of Speed Control and Reduction of Torque Ripple in switched Reluctance motors using Metaheuristic algorithms based PID and FOPID controllers at the Edge. DOI

Deng, W., Xu, J. & Zhao, H. An Improved ant colony optimization Algorithm based on hybrid strategies for Scheduling Problem. DOI

Milani, A. E. & Mozafari, B. Genetic algorithm based optimal load frequency control in two-area interconected power systems.

Abd-Elazim, S. M. & Ali, E. S. Load frequency controller design of a two-area system composing of PV grid and thermal generator via firefly algorithm. DOI

Sharma, M., Prakash, S., Saxena, S. & Dhundhara, S. Optimal fractional-Order Tilted-Integral-Derivative Controller for frequency stabilization in Hybrid Power System using salp swarm algorithm. DOI

Mohanty, D. & Panda, S. Modified salp swarm algorithm-optimized fractional-order adaptive fuzzy PID Controller for frequency regulation of Hybrid Power System with Electric Vehicle. DOI

Mishra, D., Nayak, P. C., Bhoi, S. K. & Prusty, R. C. Design and analysis of Multi-stage TDF/(1 + TI) controller for Load-frequency control of A.C Multi-Islanded Microgrid system using Modified Sine cosine algorithm. in

Shayeghi, H. & Rahnama, A. Frequency regulation of a standalone interconnected AC Microgrid using innovative multistage TDF(1 + FOPI) Controller.

Shayeghi, H., Rahnama, A. & Bizon, N. TFODn-FOPI multi‐stage controller design to maintain an islanded microgrid load‐frequency balance considering responsive loads support. DOI

Ekinci, S. et al. Automatic Generation Control of a hybrid PV-Reheat Thermal Power System using RIME algorithm. DOI

Can, O. & Ayas, M. S. Gorilla troops optimization-based load frequency control in PV-thermal power system. DOI

Gomaa Haroun, A. H. & Li, Y. A novel optimized hybrid fuzzy logic intelligent PID controller for an interconnected multi-area power system with physical constraints and boiler dynamics. PubMed DOI

Khadanga, R. K., Kumar, A. & Panda, S. A novel modified whale optimization algorithm for load frequency controller design of a two-area power system composing of PV grid and thermal generator. DOI

Dahiya, P. & Saha, A. K. Frequency regulation of Interconnected Power System Using Black Widow Optimization. DOI

Çelik, E., Öztürk, N. & Houssein, E. H. Influence of energy storage device on load frequency control of an interconnected dual-area thermal and solar photovoltaic power system. DOI

Khadanga, R. K., Kumar, A. & Panda, S. A hybrid shuffled frog-leaping and pattern search algorithm for load frequency controller design of a two‐area system composing of PV grid and thermal generator.

Khadanga, R. K. & Kumar, A. Hybrid adaptive ‘gbest’-guided gravitational search and pattern search algorithm for automatic generation control of multi‐area power system. DOI

Tomy, F. T. & Prakash, R. Load frequency control of a two area hybrid system consisting of a grid connected PV system and thermal generator. DOI

Rizk-Allah, R. M., Snášel, V., Izci, D. & Ekinci, S. Spiral-refraction mutation prairie dog algorithm: optimization framework for engineering design of interconnected multimachine power system. DOI

Rizk-Allah, R. M. et al. Incorporating adaptive local search and experience-based perturbed learning into artificial rabbits optimizer for improved DC motor speed regulation. DOI

Izci, D. et al. Dynamic load frequency control in power systems using a hybrid simulated annealing based quadratic interpolation optimizer. PubMed DOI PMC

Designing a cascaded exponential PID controller via starfish optimizer for DC motor and liquid level systems

Quadratic interpolation optimization-based 2DoF-PID controller design for highly nonlinear continuous stirred-tank heater process

Frequency stability improvement in EV-integrated power systems using optimized fuzzy-sliding mode control and real-time validation

Advanced control parameter optimization in DC motors and liquid level systems