The Influence of the Excitation Control Law Integral Component on the Synchronous Generator Stability Conditions
DOI:
https://doi.org/10.24160/0013-5380-2026-8-29-40Keywords:
integral control, automatic excitation control, stability, electric power system, voltage regulationAbstract
The article presents the results of studying the stability conditions of a synchronous generator equipped with an automatic excitation controller (AEC) operating with an integral voltage control law. The relevance of the study is stemming from the need to perform a fundamental analysis and formalize the applicability limits of classical control laws in modern power systems, which are characterized by variation of their dynamic parameters. To analyze the system stability, methods such as characteristic equation root analysis, the D-partitioning method, and the Mikhailov stability criterion were applied. The condition under which the system retains small-signal stability was taken as the main criterion. The permissible ranges of the integral controller tuning parameter values have been obtained. A relationship between the tuning parameter limit value and the power transmission angle, as well as the exciter time constant, has been established. The electrical operation mode and stability parameters under the disturbances corresponding to those applied during AEC certification testing have been analyzed. It has been found that the integral control law boundaries depend essentially on the possible contingencies in the power system and the type of excitation system used. The dependencies of the AVR integral control law limit tuning parameter value corresponding to maintaining the small signal stability on the power transmission angle for different values of the exciter time constant have been determined.
References
1. Денисенко В.В. ПИД регуляторы: вопросы реализации. Ч.1. – Современные технологии автоматизации, 2007, № 4, c. 86–97.
2. Wang L. Automatic Tuning of PID Controllers. – PID Control System Design and Automatic Tuning Using MATLAB/Simulink, 2020, Ch. 9, pp. 269–304.
3. Kim K., Schaefer R.C. Tuning a PID Controller for a Digital Excitation Control System. – IEEE Transactions on Industry Applications, 2005, vol. 41, No. 2, pp. 485–492, DOI: 10.1109/TIA.2005.844368.
4. Türksoy Ö., Türksoy A. A Fast and Robust Sliding Mode Controller for Automatic Voltage Regulators in Electrical Power Systems. – Engineering Science and Technology, an International Journal, 2024, vol. 53, DOI: 10.1016/j.jestch.2024.101697.
5. Amin M.S. et al. Development of AVR Controller Performance Using Exponential Distribution and Transit Search Optimization Techniques. – Frontiers in Energy Research, 2024, vol. 12, DOI: 10.3389/fenrg.2024.1356978.
6. Altınkaya H., Ekmekci D. Tuning of PID Controller in PLC-Based Automatic Voltage Regulator System Using Adaptive Artificial Bee Colony–Fuzzy Logic Algorithm. – Electronics, 2024, vol. 13, No. 24, DOI: 10.3390/electronics13245039.
7. Gopi P. et al. Performance and Robustness Analysis of V-Tiger PID Tuning for Automatic Voltage Regulator (AVR) System. – Scientific Reports, 2024, vol. 14, DOI: 10.1038/s41598-024-58481-1.
8. Zamani M. et al. Design of a Fractional Order PID Controller for an AVR Using Particle Swarm Optimization. – Control Engineering Practice, 2009, vol. 17, No. 12, pp. 1380–1387, DOI: 10.1016/j.conengprac.2009.07.005.
9. Shouran M., Alenezi M. Automatic Voltage Regulator Better-ment Based on a New Fuzzy FOPI+FOPD Tuned by TLBO. – Fractal and Fractional, 2025, vol. 9, No. 1, DOI: 10.3390/fractalfract9010021.
10. Signe R.K., Motto F.B. Fuzzy-PID Controller Based Sliding-Mode for Suppressing Low Frequency Oscillations of the Synchronous Generator. – Heliyon, 2024, vol. 10, No. 15, DOI: 10.1016/j.heliyon.2024.e35035.
11. Tumari M.Z.M. et al. Optimizing PID Controller Parameters for Robust Automatic Voltage Regulator System Through Indirect Design Approach-2. – Global Energy Interconnection, 2024, vol. 7, No. 5, pp. 682–696, DOI: 10.1016/j.gloei.2024.10.009.
12. Izci D., Ekinci S., Zeynelgil H.L. Controlling an Automatic Voltage Regulator Using Harris Hawks Optimization and Simulated Annealing. – Adaptive Control and Signal Processing, 2024, vol. 6, No. 2, DOI: 10.1002/adc2.121.
13. Obari J.A. et al. A Tunable Stabilizing Loop-Based Automatic Voltage Regulation System for Overshoot Reduction. – Journal of Mechanical Engineering, Automation and Control Systems, 2025, vol. 6, No. 1, pp. 38–57, DOI: 10.21595/jmeacs.2025.24865.
14. Справочник по проектированию электрических сетей / под ред. Д.Л. Файбисовича. М.: НЦ ЭНАС, 2005, 320 с.
15. Системы управления электрическими машинами. НПП «РУСЭЛПРОМ-Электромаш» [Электрон. ресурс], URL: https://www.ruselprom.ru/products/sistemy-upravleniya-elektricheskimi-mashinami/ (дата обращения 15.11.2025).
16. Статический тиристорный шкаф возбуждением СТС для турбогенераторов и гидрогенераторов средней мощности. ГК "Энергия" [Электрон. ресурс], URL: https://www.energy-gc.ru/energetika/systemy-vozbuzdeniyac/systemy-vozbuzdeniyac-stat/systemy-generators/sts-systemy-generators.html (дата обращения 16.09.2025).
17. Системы статические тиристорные самовозбуждения с естественным воздушным и водяным охлаждением тиристоров типа СТС и СТСГ. Портал технических характеристик промышленного оборудования [Электрон. ресурс], URL: https://electro.mashinform.ru/lampy-ksenonovye/sistemy-staticheskie-tiristornye-samovozbuzhdenija-s-estestvennym-vozdushnym-i-vodjanym-ohlazhdeniem-tiristorov-tipa-sts-i-stsg-obj2189.html (дата обращения 16.11.2025).
18. IEEE Std 421.5-2016 (Revision of IEEE Std 421.5-2005). IEEE Recommended Practice for Excitation System Models for Power System Stability Studies. 2016, 207 p., DOI: 10.1109/IEEESTD.2016.7553421.
19. ГОСТ Р 70609-2022. Единая энергетическая система и изолированно работающие энергосистемы. Релейная защита и автоматика. Автоматические регуляторы возбуждения сильного действия синхронных генераторов. Испытания и проверка параметров настройки. М.: Российский институт стандартизации, 2023, 113 с.
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1. Denisenko V.V. Sovremennye tekhnologii avtomatizatsii – in Russ. (Modern Automation Technologies), 2007, No. 4, pp. 86–97.
2. Wang L. Automatic Tuning of PID Controllers. – PID Control System Design and Automatic Tuning Using MATLAB/Simulink, 2020, Ch. 9, pp. 269–304.
3. Kim K., Schaefer R.C. Tuning a PID Controller for a Digital Excitation Control System. – IEEE Transactions on Industry Applications, 2005, vol. 41, No. 2, pp. 485–492, DOI: 10.1109/TIA.2005.844368.
4. Türksoy Ö., Türksoy A. A Fast and Robust Sliding Mode Controller for Automatic Voltage Regulators in Electrical Power Systems. – Engineering Science and Technology, an International Journal, 2024, vol. 53, DOI: 10.1016/j.jestch.2024.101697.
5. Amin M.S. et al. Development of AVR Controller Performance Using Exponential Distribution and Transit Search Optimization Techniques. – Frontiers in Energy Research, 2024, vol. 12, DOI: 10.3389/fenrg.2024.1356978.
6. Altınkaya H., Ekmekci D. Tuning of PID Controller in PLC-Based Automatic Voltage Regulator System Using Adaptive Artificial Bee Colony–Fuzzy Logic Algorithm. – Electronics, 2024, vol. 13, No. 24, DOI: 10.3390/electronics13245039.
7. Gopi P. et al. Performance and Robustness Analysis of V-Tiger PID Tuning for Automatic Voltage Regulator (AVR) System. – Scientific Reports, 2024, vol. 14, DOI: 10.1038/s41598-024-58481-1.
8. Zamani M. et al. Design of a Fractional Order PID Controller for an AVR Using Particle Swarm Optimization. – Control Engineering Practice, 2009, vol. 17, No. 12, pp. 1380–1387, DOI: 10.1016/j.conengprac.2009.07.005.
9. Shouran M., Alenezi M. Automatic Voltage Regulator Better-ment Based on a New Fuzzy FOPI+FOPD Tuned by TLBO. – Fractal and Fractional, 2025, vol. 9, No. 1, DOI: 10.3390/fractalfract9010021.
10. Signe R.K., Motto F.B. Fuzzy-PID Controller Based Sliding-Mode for Suppressing Low Frequency Oscillations of the Synchronous Generator. – Heliyon, 2024, vol. 10, No. 15, DOI: 10.1016/j.heliyon. 2024.e35035.
11. Tumari M.Z.M. et al. Optimizing PID Controller Parameters for Robust Automatic Voltage Regulator System Through Indirect Design Approach-2. – Global Energy Interconnection, 2024, vol. 7, No. 5, pp. 682–696, DOI: 10.1016/j.gloei.2024.10.009.
12. Izci D., Ekinci S., Zeynelgil H.L. Controlling an Automatic Voltage Regulator Using Harris Hawks Optimization and Simulated Annealing. – Adaptive Control and Signal Processing, 2024, vol. 6, No. 2, DOI: 10.1002/adc2.121.
13. Obari J.A. et al. A Tunable Stabilizing Loop-Based Automatic Voltage Regulation System for Overshoot Reduction. – Journal of Mechanical Engineering, Automation and Control Systems, 2025, vol. 6, No. 1, pp. 38–57, DOI: 10.21595/jmeacs.2025.24865.
14. Spravochnik po proektirovaniyu elektricheskih setey (Elec-trical Grid Design Reference) / Ed. by D.L. Faybisovich. M.: NTs ENAS, 2005, 320 p.
15. Sistemy upravleniya elektricheskimi mashinami. NPP «RUSELPROM-Elektromash» (Control Systems for Electric Machines. NPP RUSELPROM-Elektromash) [Electron. resource], URL: https://www.ruselprom.ru/products/sistemy-upravleniya-elektricheskimi-mashinami/ (Accessed on 15.11.2025).
16. Staticheskiy tiristornyy shkaf vozbuzhdeniem STS dlya turbogeneratorov i gidrogeneratorov sredney moshchnosti. GK «Energiya» (Static Thyristor Cabinet with CTC Excitation for Turbogenerators and Medium-Power Hydrogenators. GC "Energy") [Electron. resource], URL: https://www.energy-gc.ru/energetika/systemy-vozbuzdeniyac/systemy-vozbuzdeniyac-stat/systemy-genera-tors/sts-systemy-generators.html (Accessed on 16.09.2025).
17. Sistemy staticheskie tiristornye samovozbuzhdeniya s estestvennym vozdushnym i vodyanym ohlazhdeniem tiristorov tipa STS i STSG. Portal tekhnicheskih harakteristik promyshlennogo oborudovaniya (Static Thyristor Self-Excitation Systems with Natural Air and Water Cooling of STS and STSG Type Thyristors. Portal of Technical Characteristics of Industrial Equipment) [Electron. resource], URL: https://electro.mashinform.ru/lampy-ksenonovye/sistemy-staticheskie-tiristornye-samovozbuzhdenija-s-estestvennym-vozdushnym-i-vodjanym-ohlazhdeniem-tiristorov-tipa-sts-i-stsg-obj2189.html (Accessed on 16.11.2025).
18. IEEE Std 421.5-2016 (Revision of IEEE Std 421.5-2005). IEEE Recommended Practice for Excitation System Models for Power System Stability Studies. 2016, 207 p., DOI: 10.1109/IEEESTD.2016.7553421.
19. GOST R 70609-2022. Edinaya energeticheskaya sistema i izolirovanno rabotayushchie energosistemy. Releynaya zashchita i avtomatika. Avtomaticheskie regulyatory vozbuzhdeniya sil’nogo deystviya sinhronnyh generatorov. Ispytaniya i proverka parametrov nastroyki (United Power System an Disolated Power Systems. Relay Protection and Automation. Automatic Voltage Regulators of Strong Action of Synchronous Generators. Testing and Checking the Settings). M.: Rossiyskiy institut standartizatsii, 2023, 113 p

