Optimal Design of a TID Controller Based on the Minimization of Peak Overshoot of Frequency Deviation and Integral of Time-weighted Absolute Error for Load-Frequency Control of Interconnected Two-area Power Systems with Thermal, Gas, Hydro, Wind, and Solar Generation Sources Considering Governor Dead Band and Generation Rate Constraints

Document Type : Original Article

Authors

Faculty of Electrical Enginnering, Shahrood University of Technology, Shahrood, Iran

Abstract

Nowadays, with an increasing demand for electrical energy and the high penetration of renewable energy sources, frequency fluctuations pose a significant challenge to power system operators. In this paper, the frequency-load control problem based on the measures of (i) peak overshoot of frequency deviation and (ii) integral of time-weighted absolute error is explored from a new perspective for an interconnected, two-area power system. To this end, the proposed interconnected two-area power system includes thermal, gas, and hydro power generation sources as well as wind and solar renewable energy sources. Additionally, and from a technical perspective, nonlinear factors including dead-band governor and generation rate constraints are also taken into account for the newly developed interconnected two-area power system. To control the frequency, a fractional-order TID controller is widely employed due to its simple structure and high accuracy, the coefficients of which were optimized by a well-adjusted genetic algorithm. For comparison purposes, the performance of the suggested TID controller is compared with a PID controller in terms of dynamic parameters such as frequency deviation range, settling time, and stability speed. Simulation of the proposed interconnected two-area power system in the MATLAB/SIMULINK environment indicates that under various operating conditions the proposed TID controller exhibits better effectiveness and efficiency compared with the PID controller in terms of improving dynamic parameters.

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[1] Kumer, J., "AGC Simulator for Price-based Operation-Part I: A Model", IEEE Transactions on Power Systems, Vol. 12, No. 2, pp. 527-532, 1997. https://doi.org/10.1109/59.589593.
[2] Raineri, R., Rios, S., Schiele, D., "Technical and economic aspects of ancillary services markets in the electric power industry: an international comparison", Energy policy, Vol. 34, No. 13, pp. 1540-1555, 2006. https://doi.org/10.1016/j.enpol.2004.11.015.
[3] Oshnoei, S., Oshnoei, A., Mosallanejad, A., Haghjoo, F., "Novel load frequency control scheme for an interconnected two-area power system including wind turbine generation and redox flow battery", International Journal of Electrical Power & Energy Systems, Vol. 130, Art. No. 107033, 2021. https://doi.org/10.1016/j.ijepes.2021.107033.
[4] Ahmed, M., Magdy, G., Khamies, M., Kamel, S., "Modified TID controller for load frequency control of a two-area interconnected diverse-unit power system", International Journal of Electrical Power & Energy Systems, Vol. 135, Art. No. 107528, 2022. https://doi.org/10.1016/j.ijepes.2021.107528.
[5] Peddakapu, K., Mohamed, M., Srinivasarao, P., Arya, Y., Leung, P., Kishore, D., "A state-of-the-art review on modern and future developments of AGC/LFC of conventional and renewable energy-based power systems", Renewable Energy Focus, Vol. 43, pp. 146-171, 2022. https://doi.org/10.1016/j.ref.2022.09.006.
[6] Arya, Y., Dahiya, P., Çelik, E., Sharma, G., Gözde, H., Nasiruddin, I., "AGC performance amelioration in multi-area interconnected thermal and thermal-hydro-gas power systems using a novel controller", Engineering Science and Technology, an International Journal, Vol. 24, No. 2, pp. 384-396, 2021. https://doi.org/10.1016/j.jestch.2020.08.015.
[7] Qiu, Y., Lin, J., Liu, F., Dai, N., Song, Y., "Continuous random process modeling of AGC signals based on stochastic differential equations", IEEE Transactions on Power Systems, Vol. 36, No. 5, pp. 4575-4587, 2021. https://doi.org/10.1109/TPWRS.2021.3058681.
[8] Prasad, S., Purwar, S., Kishor, N., "Load frequency regulation using observer based non-linear sliding mode control", International Journal of Electrical Power & Energy Systems, Vol. 104, pp. 178-193, 2019. https://doi.org/10.1016/j.ijepes.2018.06.035.
[9] Elmelegi, A., Mohamed, E.A., Aly, M., Ahmed, E.M., Mohamed A.A.A., Elbaksawi, O., "Optimized tilt fractional order cooperative controllers for preserving frequency stability in renewable energy-based power systems", IEEE Access, Vol. 9, pp. 8261-8277, 2021. https://doi.org/10.1109/ACCESS.2021.3049782.
[10] Ikhe, A., Kulkarni, A., "Load frequency control for two area power system using different controllers", International Journal of Advances in Engineering & Technology, Vol. 6, No. 4, pp. 1796-1802, 2013.https://doi.org/10.1109/ICACRS55517.2022.10029090.
[11] Alomoush, M.I., "Load frequency control and automatic generation control using fractional-order controllers", Electrical Engineering, Vol. 91, No. 7, pp. 357-368, 2010. https://doi.org/10.1007/s00202-009-0145-7.
[12] Naik, A.K., Jena, N.K., Sahoo, S., Sahu, B.K., "Optimal Design of Fractional Order Tilt-Integral Derivative Controller for Automatic Generation of Power System Integrated with Photovoltaic System", Electrica, Vol. 24, No. 1, pp. 140-153, 2024. https://doi.org/10.5152/electrica.2024.23044.
[13] Soni, M., Mittal, A., Soomar, A.M., Sahoo, P., Markam, K., Singh, S., "Load Frequency Control Scheme Controller Design for Isolated and Conventional Two Area Power Systems", Fourth International Conference on Advances in Electrical, Computing, Communication and Sustainable Technologies (ICAECT), pp. 1-6, 2024. https://doi.org/10.1109/ICAECT60202.2024.10468698.
[14] Jain, D., Bhaskar, M., "Optimization of controllers using soft computing technique for load frequency control of multi-area deregulated power system", International Journal of Applied, Vol. 13, No. 1, pp. 52-65, 2024. https://doi.org/10.11591/ijape.v13.i1.pp52-65.
[15] Hajiakbari Fini, M., Yousefi, G.R., Haes Alhelou, H., "Comparative study on the performance of manyobjective and singleobjective optimisation algorithms in tuning load frequency controllers of multiarea power systems", IET Generation, Transmission & Distribution, Vol. 10, No. 12, pp. 2915-2923, 2016. https://doi.org/10.1049/iet-gtd.2015.1334.
[16] Rasolomampionona, D., Klos, M., Cirit, C., Montegiglio, P., De Tuglie, E.E., "A new method for optimization of Load Frequency Control parameters in multi-area power systems using Genetic Algorithms" IEEE International Conference on Environment and Electrical Engineering and IEEE Industrial and Commercial Power Systems Europe (EEEIC / I&CPS Europe), pp. 1-9, 2022. https://doi.org/10.1109/EEEIC/ICPSEurope54979.2022.9854535.
[17] Khudhair, M., Ragab, M., AboRas, K.M., Abbasy, N. H., "Robust control of frequency variations for a multi-area power system in smart grid using a newly wild horse optimized combination of PIDD2 and PD controllers", Sustainability, Vol. 14, No. 13, Art. No. 8223, 2022. https://doi.org/10.3390/su14138223.
[18] Malik, M.Z., Zhang, S., Chen, G., Alghaythi, M. L., "Robust Tilt-Integral-Derivative Controllers for Fractional-Order Interval Systems", Mathematics, Vol. 11, No. 12, Art. No. 2763, 2023. https://doi.org/10.3390/math11122763.