The stabilization of electricity is depended on absolute load frequency control. Rather than complicated advanced control techniques, this paper presents an adaptive intelligent load frequency control (AI-LFC) scheme that can be applied to improve the control performance of hydroelectric power generation plant in the presence of environmental disturbances. The AI-LFC scheme has been proposed for the adaptive control of a well-established Shiroro hydroelectric power generation Station located in Niger State, Nigeria as the case study. This study begins with 3-year data acquisition and experimental data analysis of the key sixteen parameters from the Shiroro Hydroelectric Power Plc in Niger State, Nigeria. Five important output control parameters have been identified to ensure the smooth operation and efficient control of the HPGP to maintain stable grid frequency. Prescribed reference trajectory tracking of the output predictions of the five control parameters as well as the output prediction errors have been used to evaluate the performance of the proposed AI-LFC scheme against that of a well-tuned artificial neural network-based proportional-integral-derivative (NN-based PID) controller for performance comparison purposes. The simulation results show that the proposed AI-LFC scheme outperforms the NN-based PID controller in terms of absolute tracking of the prescribed reference trajectory with absolute zero output predictions errors. The NN-based PID controller exhibits larger output prediction errors, overshoots, non-minimum and oscillatory behaviours, and require significant amount of control efforts to track the desired reference trajectory with occasional inability to reach the desired prescribed reference trajectory. The proposed AI-LFC scheme has been successfully formulated, implemented and validated for the modeling and control of the Shiroro hydroelectric power generation plant as a case study. The proposed AI-LFC outperforms a well-tuned NN-based PID controller and offers promising optimal adaptive control potentials that could be adapted for direct modeling and adaptive control of renewable systems.
| Published in | American Journal of Electrical Power and Energy Systems (Volume 15, Issue 4) |
| DOI | 10.11648/j.epes.20261504.12 |
| Page(s) | 79-102 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2026. Published by Science Publishing Group |
Adaptive Intelligent Load Frequency Control, Adaptive Neuro-Fuzzy Inference System, Artificial Neural Networks, Fuzzy Logic Controller, Hydroelectric Power Generation Plant
| [1] |
P. Kundur, “Power System Stability and Control,” McGraw-Hill, Inc., United States of America, 1994. Available [Online]:
https://docente.ifsc.edu.br/klunger.beck/energia/extra/livros/kundur.pdf |
| [2] | I. Salhi and S. Doubabi, “Fuzzy Controller for Frequency Regulation and Water Energy Save on Microhydro Electrical Power Plants,” International Renewable Energy Congress, Sousse Tunisia, November 2009. |
| [3] | Y. Li, C. Sun, J. Yan, A. Yan, S. Liu, J. Luo, Z. Wang, C. Zhang and C. Li, “Multi-Objective Optimized Fuzzy Fractional-Order PID Control for Frequency Regulation in Hydro-Wind-Solar-Storage Systems,” Water, vol. 17, no. 2553, 2025. |
| [4] | R. A. nanaware, S. R. Sawant and B. T. Jadhav, Fuzzy Based Turbine Governor for Hydro Power Plant,” International Journal of Electrical Engineering, vo. 5, no. 4, pp. 383 - 392, 2012. Available [Online]: |
| [5] | A. Acakpovi, “Review of Hydropower Plant Models,” International Journal of Computer Applications, vol. 108, no. 18, pp. 33 - 38, 2014. |
| [6] | Z. Zidane, M. A. Lafkih and M. Ramzi, “ Simulation Studies of Adaptive Predictive Control for Small Hydro Power Plant,” Journal of Mechanical Engineering and Automation, vol. 2, no. 6, pp. 169 - 175, 2012. |
| [7] | H. Kurt and Y. Aslan, “Optimization of Power Output of a Micro-Hydro Power Station using Fuzzy Logic Algorithm,” “International Journal on Technical and Physical Problems of Engineering, vol. 5, no. 1, pp. 138 - 143, 2013. Available [Online]: |
| [8] | S. Yadav, V. Yadav, P. Kumar,“Hydro-Electric Power Dam Control System using Fuzzy Logic,” International Journal of Advanced Technology in Engineering and Science, vol. 2, no. 8, pp. 294 - 300, 2014. |
| [9] | P. Adhikary1, P. K. Roy and A. Mazumdar, “ Safe and Efficient Control of Hydro Power Plant by Fuzzy Logic,” International Journal of Engineering Science and Advanced Technology, vol. 2, no. 5, pp. 1270 - 1277, 2012. Available [Online]: |
| [10] | N. Kishor, R. P. Saini and S. P. Singh, “A review on hydropower plant models and control,” Renewable and Sustainable Energy Reviews, vol. 11, pp. 776 - 796, 2007. |
| [11] | P. E. G. Gedeon, “Planning and Design of Hydroelectric Power Plants,” Continuing Education and Development Engineering Inc., Retrieved on 17th January, 2026. pp. 1 - 48. Available [Online]: |
| [12] | G. N. Okonkwo and S. O. Ezeonu, “Design and installation of a mini hydro electric power plant,” Scholarly Journal of Engineering Research, vol. 1, no. 1, pp. 11 - 15, 2012. Available [Online]: |
| [13] |
Hydropower General, “Hydropower Engineering in General,” Energypedia. Retrieved on 17th January, 2026. pp. 1 - 123. Available [Online]:
https://energypedia.info/images/c/cf/Hydropower_enginneering.pdf |
| [14] | M. P. Peschka, Hydroelectric Power: A Guide for Developers and Investors,” International Finance Corporation, World Bank Group, pp. 1 - 120. Retrieved 17th January, 2026. Available [Online]: |
| [15] | Japan International Cooperation Agency, “Guideline and Manual for Hydropower Development Vol. 2: Small Scale Hydropower,” Electric Power Development Co., Ltd. JP Design Co., Ltd, pp. 1 - 340. Retrieved 17th January, 2026. Available [Online]: |
| [16] | F. Bri, E. B. Bwala, C. Nathan, G. G. Adamu and B. O. Oluwapelumi, “Design and Construction of a Mini Self-Contained Hydroelectric Power Generation Plant,”Greener Journal of Science, Engineering and Technological Research, vol. 13, no. 1, pp. 61 – 68, 2024. |
| [17] | ESHA, “Guide on How to Develop a Small Hydropower Plant,” European Small Hydropower Association (ESHA), pp. 1 - 296, 2004. Retrieved 17th January, 2026. Available [Online]: |
| [18] | P. Patnaik, “Load Frequency Control in A Single Area Power System,” Department of Electrical Engineering, National Institute of Technology Rourkela - 769008, (ODISHA) 35 pages, May, 2013. Available [Online]: |
| [19] | D. K. Chaturvedi, “Modeling and simulation of Power System: An Alternative Approach,” Thesis for the Degree of Doctor of Philosophy, Dayaibagh Educational Institute, Deemed University, Dayalhagh, Agra, India, pp. 83 - 87, 1997. |
| [20] | N. Kishor, R. P. Saini and S. P. Singh, “A Review on Hydropower Plant Models and Control”, Renewable and Sustainable Energy Reviews, vol. 11, pp. 776 - 796, 2007. Available [Online]: RePEc:eee:rensus: v: 11:y: 2007:i: 5:p: 776-796. |
| [21] | S. K. Pandey, S. R. Mohanty and 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, 2013. |
| [22] | H. Shayeghi, H. A. Shayanfar and A. Jalili, “Load Frequency Control Strategies: A State of the Art Survey for the Researcher,” Energy Conversion and Management Journal, vol. 50, no. 2, pp. 344 - 353, 2009. |
| [23] | D. D. Rasolomampionona, M. Polecki, K. Zagrajek, W. Wróblewski and M. Januszewki, “A Comprehensive Review of Load Frequency Control Technologies,” Energies, vol. 17, no. 2915, 2024. |
| [24] | M. F. Hassan, A. A. Abouelsoud and H. M. Soliman, “Constrained load frequency control,” Electric Power Components and System, vol. 36, pp. 266 - 279, 2008. |
| [25] | D. K. Sambariya and R. Prasad, “Optimal Tuning of Fuzzy Logic Power System Stabilizer Using Harmony Search Algorithm,” International Journal of Fuzzy Systems, pp. 1-14, 2015. |
| [26] | H. D. Mathur and H. V. Manjunath, “Frequency Stabilization using Fuzzy Logic Based Controller for Multi-area Power System,” The South Pacific Journal of Natural Science, vol. 25, no. 1, pp. 22 - 29, 2007. |
| [27] |
P. O. Oluseyi, K. M. Yellow, T. O. Akinbulire, O. M. Babatunde and A. S. Alayande, “Optimal Load Frequency Control of Two Area Power System,” Nigerian Journal of Engineering, Faculty of Engineering, Ahmadu Bello University, vol. 26, no. 2, pp. 1 - 14, 2019. Available [Online]:
https://api-ir.unilag.edu.ng/server/api/core/bitstreams/b92ee169-61e1-42c2-894d-07af7f342a42/content |
| [28] |
B. Ogbonna and S. N. Ndubisi, “Neural Network Based Load Frequency Control For Restructuring Power Industry,”. Nigerian Journal of Technology (NIJOTECH), vol. 31, no. 1, pp. 40 - 47, 2012 Available [Online]:
https://www.nijotech.com/index.php/nijotech/article/download/104/87 |
| [29] | H. Shayeghi, H. A. Shayanfar and A. Jalili, “Multi Stage Fuzzy PID Load Frequency Controller in a Restructured Power System,” Journal of Electrical Engineering, vol. 58, no. 2, pp. 61 - 70, 2007. |
| [30] | M. M. Ismail and M. A. M. Hassan, “Load Frequency Control Adaptation Using Artificial Intelligent Techniques for One and Two Different Areas Power System,” International Journal of Control, Automation and Systems, vol. 1, no. 1, pp. 12 - 23, 2012. |
| [31] |
D. K. Sambariya and R. Prasad, “Design of Robust PID Power System Stabilizer for Multimachine Power System Using HS Algorithm,” American Journal of Electrical and Electronic Engineering, vol. 3, no. 3, pp: 75 - 82, 2015. Available [Online]:
https://pubs.sciepub.com/ajeee/3/3/3/index.html. https://doi.org/10.12691/ajeee-3-3-3 |
| [32] | A. Sakhavati, G. B. Gharehpetian and S. H. Hosseini, “Decentralized robust load-frequency control of power system based on quantitative feedback theory,” Turkish Journal of Electrical Engineering and Computer Science, vol. 19, no. 4, Article 1, pp. 513 - 530, 2011. |
| [33] |
S. Hossein, “Robust Decentralized Power System Load Frequency Control,” Journal of Electrical Engineering, vol. 59, no. 6, pp. 281 - 293, 2008. Available [Online]:
https://scispace.com/pdf/a-robust-decentralized-power-system-load-frequency-control-37l7wrz17i.pdf |
| [34] | V. N. Ogar, S. Hussain and K. A. A. Gamage, “Load Frequency Control Using the Particle Swarm Optimization Algorithm and PID Controller for Effective Monitoring of Transmission Line,” Energies, vol. 16, no. 5748, pp. 1 - 17, 2023. |
| [35] | V. S. Sundaram and T. Jayabarathi, "Load Frequency Control using PID tuned ANN controller in power system," In the Proceedings of the 2011 1st International Conference on Electrical Energy Systems, Chennai, India, 3 - 5 January, 2011, pp. 269 - 274, |
| [36] | Y. Liu and T. Ma, “Constrained Load Frequency Control in Power Systems via Integrated Stochastic Model Predictive Control and Unscented Kalman Filter,” 2025 American Control Conference (ACC), Denver, CO, USA, 8 - 10 July, 2025, pp. 729 - 735, 2025. |
| [37] | Y. Li, C. Sun, J. Yan, A. Yan, S. Liu, J. Luo, Z. Wang, C. Zhang and C. Li, “Multi-Objective Optimized Fuzzy Fractional-Order PID Control for Frequency Regulation in Hydro-Wind-Solar-Storage Systems,” Water, vol. 17, no. 2553, 2025. |
| [38] |
K. M. Passino and S. Yurkovich, “Fuzzy Control”, An Imprint of Addison-Wesley Longman, Inc., Menlo Park, CA, U.S.A., pp: 219 - 299, 1998. Available [Online]:
https://a-lab.ee/edu/system/files/eduard.petlenkov/courses/ISS0023/2015_Autumn/materials/FCbook.pdf |
| [39] | M. Samal, C. K. Panigrahi and D. K. Gupta, “Load Frequency Control in Modern Power System-An Overview," In the proceedings of 2025 International Conference on Power Electronics Converters for Transportation and Energy Applications (PECTEA), Jatni, India, 18 - 21 June, 2025, pp. 1 - 6, |
| [40] | D. K. Chaturvedi, “Modeling and Simulation of Systems Using MATLAB® and Simulink®,” Taylor & Group, CRC Press, Boca Raton, FL 33487-2742, U.S.A. 2010. Available [Online]: |
| [41] | L. L. Grigsby, “The Electric Power Engineering Handbook: Power System Stability and Control,” Third Edition. Taylor & Group, CRC Press, Boca Raton, FL 33487-2742, U.S.A. 2012. |
| [42] | A. A. Sallam and O. P. Malik, “Power System Stability: Modelling, Analysis and Control,” The Institution of Engineering and Technology, Stevenage, Herts, SG1 2AY, United Kingdom. 2015. |
| [43] | R. A. O. Osakwe, V. A. Akpan And S. A. Ekong, “ARMAX, OE and SSIF Model Predictors for Power Transmission and Distribution Predictions in Akure and Its Environs”, Nigerian Journal of Pure & Applied Physics (NJPAP), vol. 6, no. 1, pp. 6 - 25, 2015. |
| [44] | R. A. O. Osakwe, V. A. Akpan and S. A. Ekong, “ARX and ARMAX model identification for prediction of power consumption in residential buildings”, Journal of the Nigerian Association of Mathematical Physics (J. of NAMP), vol. 29: pp. 231 - 244, 2015. |
| [45] |
I. H. Altaş and J. Neyens, “A Fuzzy Logic Load-Frequency Controller for Power Systems,” International Symposium on Mathematical Methods in Engineering, MME-06, Cankaya University, Ankara, Turkey, 27 - 29 April, pp. 1 - 10, 2006. Available [Online]:
http://ihaltas.com/downloads/publications/papers_eng/061_MME_06_Cankaya_Ankara.pdf |
| [46] | V. A. Akpan and J. B. Agbogun, “A Hybrid Adaptive Neural-Fuzzy Algorithms Based on Adaptive Resonant Theory with Adaptive Clustering Algorithms for Classification, Prediction, Tracking and Adaptive Control Applications”, American Journal of Intelligent Systems, vol. 12, no. 1, pp. 9 – 33, 2022. Available [Online]: |
| [47] | The MathWorks, Inc. (2026) MATLAB® and Simulink® 2026. Natick, MA. |
| [48] |
V. A. Akpan, “Development of new model adaptive predictive control algorithms and their implementation on real-time embedded systems,” Ph.D. Dissertation, 517 pages, 2011. [Online] Available:
http://invenio.lib.auth.gr/record/127274/files/GRI-2011-7292.pdf& http://invenio.lib.auth.gr/record/127274?ln=el |
| [49] | V. A. Akpan and G. D. Hassapis, ‘Training dynamic feedforward neural networks for online nonlinear model identification and control applications’, International Reviews of Automatic Control: Theory & Applications, Vol. 4, No. 3, pp. 335-350, 2011. |
| [50] | V. A. Akpan and G. D. Hassapis, ‘Nonlinear model identification and adaptive model predictive control using neural networks’, ISA Transactions, Vol. 5, No. 2, pp. 177-194, 2011. |
| [51] | R. Vilanova and A. Visioli, “PID Control in the Third Millennium: Lessons Learned and Approaches,” Springer-Verlag London Limited, 2012. Available [Online]: |
| [52] |
L. Wang, S. Chai, D. Yoo, L. Gan and K. Ng, “PID and Predictive Control of Electrical Drives and Power Converters using MATLAB®/SIMULINK®,” IEEE John Wiley & Sons Singapore PTE. Ltd, 2015. Available [Online]:
https://www.amazon.com/Predictive-Electrical-Converters-Simulink-Engineering/dp/1118339444 |
| [53] |
Akpan, V. A., Fatai, A. and Ogidan, O. K. (2025): “Neural Network-Based Online Model Identification and Adaptive Predictive Control of Self-Balancing Two-Wheel LEGO MindstormsNXTway-GS Robot”, Automation, Control and Intelligent Systems, vol. 13, no. 3, pp. 86 - 115. Available [Online]:
https://www.sciencepublishinggroup.com/article/10.11648/j.acis.20251303.14. https://doi.org/10.11648/j.acis.20251303.14 |
| [54] | Akpan, V. A., Samaras, I. K. and Hassapis, G. D. (2022): “Implementation of Distributed Network Control System over a Service-Oriented-Architecture Computer Network Based on Device Profile for Web Services for Industrial Control Applications”, International Journal of Control Science and Engineering, vol. 12, no. 1, pp. 1 - 25. Available [Online]: |
| [55] | M. A. Freese, “V-REP PRO EDU 3.2,” Version 3.3.2. Retrieved 18th January, 2026. Informer Technologies, Inc. Available [Online]: |
| [56] |
M. Abdulghani and K. M. Al-Aubidy, “Design and Evaluation of a MIMO ANFIS Using MATLAB and V-REP,” In the Proceedings of the 11th International Conference on Advances in Computing, Control and Telecommunication Technologies ACT 2020, 28 - 29 August, 2020, pp. 129 - 136, 2020. Available [Online]:
http://www.scopus.com/inward/record.url?eid=2-s2.0-85099345685&partnerID=MN8TOARS |
| [57] | E. Rohmer, S.P.N. Singh and M. Freese, “V-REP: a Versatile and Scalable Robot Simulation Framework”, 2013 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 1321-1326, November 3-7, 2013. Tokyo, Japan. |
| [58] | R. Spica, G. Claudio, F. Spindler and P. R. Giordano, “Interfacing Matlab/Simulink with V‐REP for an Easy Development of Sensor‐Based Control Algorithms for Robotic Platforms”, 2014 IEEE Int. Conf. on Robotics and Automation workshop: MATLAB/Simulink for Robotics Education and Research, May 2014, pp. 1-10. |
| [59] |
S. K. Thiem, S. Stark, D. Tanneberg, J. Peters, and E. Rueckert, “Simulation of the underactuated Sake Robotics Gripper in V-REP”, 17th International Conference on Humanoid Robotics (IEEE-RAS, Humanoids 2017), pp. 15-17 November 2017, Birmingham, UK. Available [Online]:
https://www.ias.tu-darmstadt.de/uploads/Team/PubElmarRueckert/Humanoids2017Thiem.pdf |
APA Style
Abu, U. A., Akpan, V. A., Eyefia, A. S. (2026). Experimental Analysis and Adaptive Intelligent Load Frequency Control (Case Study of Shiroro Hydroelectric Power Generation Station, Nigeria). American Journal of Electrical Power and Energy Systems, 15(4), 79-102. https://doi.org/10.11648/j.epes.20261504.12
ACS Style
Abu, U. A.; Akpan, V. A.; Eyefia, A. S. Experimental Analysis and Adaptive Intelligent Load Frequency Control (Case Study of Shiroro Hydroelectric Power Generation Station, Nigeria). Am. J. Electr. Power Energy Syst. 2026, 15(4), 79-102. doi: 10.11648/j.epes.20261504.12
AMA Style
Abu UA, Akpan VA, Eyefia AS. Experimental Analysis and Adaptive Intelligent Load Frequency Control (Case Study of Shiroro Hydroelectric Power Generation Station, Nigeria). Am J Electr Power Energy Syst. 2026;15(4):79-102. doi: 10.11648/j.epes.20261504.12
@article{10.11648/j.epes.20261504.12,
author = {Umar Attai Abu and Vincent Andrew Akpan and Aghogho Stanley Eyefia},
title = {Experimental Analysis and Adaptive Intelligent Load Frequency Control (Case Study of Shiroro Hydroelectric Power Generation Station, Nigeria)},
journal = {American Journal of Electrical Power and Energy Systems},
volume = {15},
number = {4},
pages = {79-102},
doi = {10.11648/j.epes.20261504.12},
url = {https://doi.org/10.11648/j.epes.20261504.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.epes.20261504.12},
abstract = {The stabilization of electricity is depended on absolute load frequency control. Rather than complicated advanced control techniques, this paper presents an adaptive intelligent load frequency control (AI-LFC) scheme that can be applied to improve the control performance of hydroelectric power generation plant in the presence of environmental disturbances. The AI-LFC scheme has been proposed for the adaptive control of a well-established Shiroro hydroelectric power generation Station located in Niger State, Nigeria as the case study. This study begins with 3-year data acquisition and experimental data analysis of the key sixteen parameters from the Shiroro Hydroelectric Power Plc in Niger State, Nigeria. Five important output control parameters have been identified to ensure the smooth operation and efficient control of the HPGP to maintain stable grid frequency. Prescribed reference trajectory tracking of the output predictions of the five control parameters as well as the output prediction errors have been used to evaluate the performance of the proposed AI-LFC scheme against that of a well-tuned artificial neural network-based proportional-integral-derivative (NN-based PID) controller for performance comparison purposes. The simulation results show that the proposed AI-LFC scheme outperforms the NN-based PID controller in terms of absolute tracking of the prescribed reference trajectory with absolute zero output predictions errors. The NN-based PID controller exhibits larger output prediction errors, overshoots, non-minimum and oscillatory behaviours, and require significant amount of control efforts to track the desired reference trajectory with occasional inability to reach the desired prescribed reference trajectory. The proposed AI-LFC scheme has been successfully formulated, implemented and validated for the modeling and control of the Shiroro hydroelectric power generation plant as a case study. The proposed AI-LFC outperforms a well-tuned NN-based PID controller and offers promising optimal adaptive control potentials that could be adapted for direct modeling and adaptive control of renewable systems.},
year = {2026}
}
TY - JOUR T1 - Experimental Analysis and Adaptive Intelligent Load Frequency Control (Case Study of Shiroro Hydroelectric Power Generation Station, Nigeria) AU - Umar Attai Abu AU - Vincent Andrew Akpan AU - Aghogho Stanley Eyefia Y1 - 2026/09/20 PY - 2026 N1 - https://doi.org/10.11648/j.epes.20261504.12 DO - 10.11648/j.epes.20261504.12 T2 - American Journal of Electrical Power and Energy Systems JF - American Journal of Electrical Power and Energy Systems JO - American Journal of Electrical Power and Energy Systems SP - 79 EP - 102 PB - Science Publishing Group SN - 2326-9200 UR - https://doi.org/10.11648/j.epes.20261504.12 AB - The stabilization of electricity is depended on absolute load frequency control. Rather than complicated advanced control techniques, this paper presents an adaptive intelligent load frequency control (AI-LFC) scheme that can be applied to improve the control performance of hydroelectric power generation plant in the presence of environmental disturbances. The AI-LFC scheme has been proposed for the adaptive control of a well-established Shiroro hydroelectric power generation Station located in Niger State, Nigeria as the case study. This study begins with 3-year data acquisition and experimental data analysis of the key sixteen parameters from the Shiroro Hydroelectric Power Plc in Niger State, Nigeria. Five important output control parameters have been identified to ensure the smooth operation and efficient control of the HPGP to maintain stable grid frequency. Prescribed reference trajectory tracking of the output predictions of the five control parameters as well as the output prediction errors have been used to evaluate the performance of the proposed AI-LFC scheme against that of a well-tuned artificial neural network-based proportional-integral-derivative (NN-based PID) controller for performance comparison purposes. The simulation results show that the proposed AI-LFC scheme outperforms the NN-based PID controller in terms of absolute tracking of the prescribed reference trajectory with absolute zero output predictions errors. The NN-based PID controller exhibits larger output prediction errors, overshoots, non-minimum and oscillatory behaviours, and require significant amount of control efforts to track the desired reference trajectory with occasional inability to reach the desired prescribed reference trajectory. The proposed AI-LFC scheme has been successfully formulated, implemented and validated for the modeling and control of the Shiroro hydroelectric power generation plant as a case study. The proposed AI-LFC outperforms a well-tuned NN-based PID controller and offers promising optimal adaptive control potentials that could be adapted for direct modeling and adaptive control of renewable systems. VL - 15 IS - 4 ER -