Синтез системного стабилизатора с применением методов нечеткой логики и нейронной сети
Ключевые слова:
электрическая система, системный стабилизатор, Fuzzy-контроллер, нейронная сеть, демпфирование колебаний
Аннотация
Электроэнергетические системы представляют собой большие нелинейные системы, которые часто подвергаются низкочастотным электромеханическим колебаниям 0,5–2,5 Гц. Стабилизаторы энергосистем PSS (Power System Stabilizers) часто используются как эффективные и экономичные средства для демпфирования электромеханических колебаний генераторов и повышения устойчивости энергосистем. Системные стабилизаторы могут расширить пределы устойчивости электропередачи путем добавления стабилизирующего сигнала по каналам системы автоматического регулирования возбуждения. В статье приведены результаты обучения нейронной сети, на основе которой получен системный стабилизатор с нечеткой логикой для повышения устойчивости электроэнергетических систем. В качестве входных данных для контроллера нечеткой логики были приняты отклонение скорости и ускорение ротора синхронного генератора. Эти переменные существенно влияют на демпфирование электромеханических колебаний ротора. Проведено сравнение характеристик изменения углов нагрузки синхронного генератора при установке различных регуляторов: предложенного системного стабилизатора на основе нечеткой логики, системного стабилизатора с неоптимизированными параметрами, а также при отсутствии системного стабилизатора.
Литература
1. Allaev K.R., et al. Asynchronous generators as power system’s natural dampers. – 43rd International Conference on Large High Voltage Electric Systems, CIGRE, Paris, France, 2010, pp. 1–9.
2. Kundur P. Power System Stability and Control. McGraw-Hill, Inc., 1994, 1176 p.
3. Ngoc-Khoat Nguyen. Intelligent Power System Stabilizers using Fuzzy Logic Technique and Sliding Mode Control Strategy. – International Journal of Innovative Technology and Exploring Engineering, 2019, vol. 8, iss. 10, pp. 115–120.
4. Jalayer R., Ooi B. Co-Ordinated PSS Tuning of Large Power Systems by Combining Transfer Function-Eigenfunction Analysis (TFEA), Optimization, and Eigenvalue Sensitivity. – IEEE Transactions on Power Systems, 2014, vol. 29, No. 6, pp. 2672–2680, DOI: 10.1109/TPWRS.2014.2314717.
5. Jalaluddin M., et al. Design and performance evaluation of accelerating power based fuzzy logic power system stabilizer. – International Journal of Electrical and Electronics Engineering Research, 2014, vol. 4, iss. 2, pp. 369–378.
6. Allaev K., Makhmudov T. Research of small oscillations of electrical power systems using the technology of embedding systems. – Electrical Engineering, 2020, 102(1), pp. 309–319, DOI:10.1007/s00202-019-00876-9.
7. Jebali M., et al. Optimizing PSS parameters for a multi-machine power system using genetic algorithm and neural network techniques. – The International Journal of Advanced Manufacturing Technology, 2017, No. 90, pp. 2669–2688. DOI:10.1007/s00170-016-9547-7.
8. ГОСТ 21558–2018. Системы возбуждения турбогенераторов, гидрогенераторов и синхронных компенсаторов. М.: Стандарт-информ, 2019, 19 с.
9. Gu W. Commissioning generator AVR, PSS and model validation. – IEEE 28th Canadian Conference on Electrical and Computer Engineering, 2015, pp. 669–673, DOI:10.1109/CCECE.2015.7129354.
10. Chitara D., et al. Cuckoo Search Optimization Algorithm for Designing of a Multimachine Power System Stabilizer. – IEEE Transactions on Industry Applications, 2018, vol. 54, No. 4, pp. 3056–3065, DOI: 10.1109/TIA.2018.2811725.
11. Hiyama T., Oniki S., Nagashima H. Evaluation of advanced fuzzy logic PSS on analog network simulator and actual installation on hydro generators. – IEEE Transactions on Energy Conversion, 1996, vol. 11, No. 1, pp. 125–131, DOI: 10.1109/60.486586.
12. Anderson P.M., Fouad A.A. Power system control and stability, Second edition, Willey-Interscience A John Wiley & Sons Inc, USA, 2002, 664 p.
13. Kashki M., Abido M.A., Abdel-Magid Y.L. Power System Dynamic Stability Enhancement Using Optimum Design of PSS and Static Phase Shifter Based Stabilizer. – Arabian Journal for Science and Engineering, 2013, vol. 38, No.3, pp. 637–650, DOI:10.1007/s13369-012-0325-z.
14. Ray P.K., et al. A Hybrid Firefly-Swarm Optimized Fractional Order Interval Type-2 Fuzzy PID-PSS for Transient Stability Improvement. – IEEE Transactions on Industry Applications, 2019, vol. 55, No. 6, pp. 6486-6498, DOI: 10.1109/TIA.2019.2938473.
15. Allaev K., Makhmudov T. Analysis of small oscillations of complex electrical systems. – Rudenko International Conference “Methodological problems in reliability study of large energy systems”, 2020, vol. 216, pp. 1–4. https://doi.org/10.1051/e3sconf/202021601097.
16. Khobaragade T., Barve A. Enhancement of Power System Stability Using Fuzzy Logic Controller. – International Journal of Electrical, Electronics and Computer Engineering, 2012, 1(2), pp. 71–80.
17. Zadeh L.A. Fuzzy sets. – Information and control, 1965, vol. 8, pp. 338–353.
18. Bakolia V., Joshi S.N. Design and Analysis of Fuzzy Logic based Power System Stabilizer. – International Journal of Engineering Research & Technology (IJERT), 2020, vol. 9, iss. 08, pp. 414–418.
19. Аллаев К.Р., Мирзабаев А.М. Матричные методы анализа малых колебаний электрических систем. Ташкент: Fan va texnologiya, 2016, 432 с.
20. Murali D. Comparison of Adaptive Neuro-Fuzzy based PSS and SSSC Controllers for Enhancing Power System Oscillation Damping. – AMSE JOURNALS –2016-Series: Advances C, 2016, vol. 71, No. 1, pp. 24–38.
21. Sreedivya K.M., Jeyanthy P.A., Devaraj D. An Effective AVR-PSS Design for Electromechanical Oscillations Damping in Power System. – IEEE International Conference on Clean Energy and Energy Efficient Electronics Circuit for Sustainable Development, 2019, pp. 1–5, DOI: 10.1109/INCCES47820.2019.9167703.
22. Lu S., et al. Parameter Tuning and Simulation Analysis of PSS Function in Excitation System with Suppression of Low Frequency Oscillation. – IEEE 8th International Conference on Advanced Power System Automation and Protection, 2019, pp. 474–479, DOI: 10.1109/APAP47170.2019.9224931.
23. Sorrentino E., León F. Comparison among typical input signals of different types of Power System Stabilizers (PSS). – 10th IEEE Andean Conference, Technology and Innovation ANDESCON, 2020, pp. 1–6, DOI: 10.1109/ANDESCON50619.2020.9272090.
#
1. Allaev K.R., et al. Asynchronous generators as power system’s natural dampers. – 43rd International Conference on Large High Voltage Electric Systems, CIGRE, Paris, France, 2010, pp. 1–9.
2. Kundur P. Power System Stability and Control. McGraw-Hill, Inc., 1994, 1176 p.
3. Ngoc-Khoat Nguyen. Intelligent Power System Stabilizers using Fuzzy Logic Technique and Sliding Mode Control Strate-gy. – International Journal of Innovative Technology and Exploring Engineering, 2019, vol. 8, iss. 10, pp. 115–120.
4. Jalayer R., Ooi B. Co-Ordinated PSS Tuning of Large Power Systems by Combining Transfer Function-Eigenfunction Analysis (TFEA), Optimization, and Eigenvalue Sensitivity. – IEEE Transactions on Power Systems, 2014, vol. 29, No. 6, pp. 2672–2680, DOI: 10.1109/TPWRS.2014.2314717.
5. Jalaluddin M., et al. Design and performance evaluation of accelerating power based fuzzy logic power system stabilizer. – International Journal of Electrical and Electronics Engineering Research, 2014, vol. 4, iss. 2, pp. 369–378.
6. Allaev K., Makhmudov T. Research of small oscillations of electrical power systems using the technology of embedding systems. – Electrical Engineering, 2020, 102(1), pp. 309–319, DOI:10.1007/s00202-019-00876-9.
7. Jebali M., et al. Optimizing PSS parameters for a multi-machine power system using genetic algorithm and neural network techniques. – The International Journal of Advanced Manufacturing Technology, 2017, No. 90, pp. 2669–2688. DOI:10.1007/s00170-016-9547-7.
8. GOST 21558–2018. Sistemy vozbuzhdeniya turbogeneratorov, gidrogeneratorov i sinhronnyh kompensatorov (Excitation systems for turbine generators, hydrogenerators and synchronous compensators). М.: Standartinform, 2019, 19 p.
9. Gu W. Commissioning generator AVR, PSS and model validation. – IEEE 28th Canadian Conference on Electrical and Computer Engineering, 2015, pp. 669–673, DOI:10.1109/CCECE.2015.7129354.
10. Chitara D., et al. Cuckoo Search Optimization Algorithm for Designing of a Multimachine Power System Stabilizer. – IEEE Transactions on Industry Applications, 2018, vol. 54, No. 4, pp. 3056–3065, DOI: 10.1109/TIA.2018.2811725.
11. Hiyama T., Oniki S., Nagashima H. Evaluation of advanced fuzzy logic PSS on analog network simulator and actual installation on hydro generators. – IEEE Transactions on Energy Conversion, 1996, vol. 11, No. 1, pp. 125–131, DOI: 10.1109/60.486586.
12. Anderson P.M., Fouad A.A. Power system control and stability, Second edition, Willey-Interscience A John Wiley & Sons Inc, USA, 2002, 664 p.
13. Kashki M., Abido M.A., Abdel-Magid Y.L. Power System Dynamic Stability Enhancement Using Optimum Design of PSS and Static Phase Shifter Based Stabilizer. – Arabian Journal for Science and Engineering, 2013, vol. 38, No.3, pp. 637–650, DOI:10.1007/s13369-012-0325-z.
14. Ray P.K., et al. A Hybrid Firefly-Swarm Optimized Fractional Order Interval Type-2 Fuzzy PID-PSS for Transient Stability Improvement. – IEEE Transactions on Industry Applications, 2019, vol. 55, No. 6, pp. 6486-6498, DOI: 10.1109/TIA.2019.2938473.
15. Allaev K., Makhmudov T. Analysis of small oscillations of complex electrical systems. – Rudenko International Conference “Methodological problems in reliability study of large energy systems”, 2020, vol. 216, pp. 1–4. https://doi.org/10.1051/e3sconf/202021601097.
16. Khobaragade T., Barve A. Enhancement of Power System Stability Using Fuzzy Logic Controller. – International Journal of Electrical, Electronics and Computer Engineering, 2012, 1(2), pp. 71–80.
17. Zadeh L.A. Fuzzy sets. – Information and control, 1965, vol. 8, pp. 338–353.
18. Bakolia V., Joshi S.N. Design and Analysis of Fuzzy Logic based Power System Stabilizer. – International Journal of Engineering Research & Technology (IJERT), 2020, vol. 9, iss. 08, pp. 414–418.
19. Allayev K.R., Mirzabaev A.M. Matrichnye metody analiza malykh kolebaniy elektricheskikh sistem (Matrix methods for the analysis of small vibrations of electrical systems). Tashkent: Fan va texnologiya, 2016, 432 p.
20. Murali D. Comparison of Adaptive Neuro-Fuzzy based PSS and SSSC Controllers for Enhancing Power System Oscillation Damping. – AMSE JOURNALS –2016-Series: Advances C, 2016, vol. 71, No. 1, pp. 24–38.
21. Sreedivya K.M., Jeyanthy P.A., Devaraj D. An Effective AVR-PSS Design for Electromechanical Oscillations Damping in Power System. – IEEE International Conference on Clean Energy and Energy Efficient Electronics Circuit for Sustainable Development, 2019, pp. 1–5, DOI: 10.1109/INCCES47820.2019.9167703.
22. Lu S., et al. Parameter Tuning and Simulation Analysis of PSS Function in Excitation System with Suppression of Low Frequency Oscillation. – IEEE 8th International Conference on Advanced Power System Automation and Protection, 2019, pp. 474–479, DOI: 10.1109/APAP47170.2019.9224931.
23. Sorrentino E., León F. Comparison among typical input signals of different types of Power System Stabilizers (PSS). – 10th IEEE Andean Conference, Technology and Innovation ANDESCON, 2020, pp. 1–6, DOI: 10.1109/ANDESCON50619.2020.9272090
2. Kundur P. Power System Stability and Control. McGraw-Hill, Inc., 1994, 1176 p.
3. Ngoc-Khoat Nguyen. Intelligent Power System Stabilizers using Fuzzy Logic Technique and Sliding Mode Control Strategy. – International Journal of Innovative Technology and Exploring Engineering, 2019, vol. 8, iss. 10, pp. 115–120.
4. Jalayer R., Ooi B. Co-Ordinated PSS Tuning of Large Power Systems by Combining Transfer Function-Eigenfunction Analysis (TFEA), Optimization, and Eigenvalue Sensitivity. – IEEE Transactions on Power Systems, 2014, vol. 29, No. 6, pp. 2672–2680, DOI: 10.1109/TPWRS.2014.2314717.
5. Jalaluddin M., et al. Design and performance evaluation of accelerating power based fuzzy logic power system stabilizer. – International Journal of Electrical and Electronics Engineering Research, 2014, vol. 4, iss. 2, pp. 369–378.
6. Allaev K., Makhmudov T. Research of small oscillations of electrical power systems using the technology of embedding systems. – Electrical Engineering, 2020, 102(1), pp. 309–319, DOI:10.1007/s00202-019-00876-9.
7. Jebali M., et al. Optimizing PSS parameters for a multi-machine power system using genetic algorithm and neural network techniques. – The International Journal of Advanced Manufacturing Technology, 2017, No. 90, pp. 2669–2688. DOI:10.1007/s00170-016-9547-7.
8. ГОСТ 21558–2018. Системы возбуждения турбогенераторов, гидрогенераторов и синхронных компенсаторов. М.: Стандарт-информ, 2019, 19 с.
9. Gu W. Commissioning generator AVR, PSS and model validation. – IEEE 28th Canadian Conference on Electrical and Computer Engineering, 2015, pp. 669–673, DOI:10.1109/CCECE.2015.7129354.
10. Chitara D., et al. Cuckoo Search Optimization Algorithm for Designing of a Multimachine Power System Stabilizer. – IEEE Transactions on Industry Applications, 2018, vol. 54, No. 4, pp. 3056–3065, DOI: 10.1109/TIA.2018.2811725.
11. Hiyama T., Oniki S., Nagashima H. Evaluation of advanced fuzzy logic PSS on analog network simulator and actual installation on hydro generators. – IEEE Transactions on Energy Conversion, 1996, vol. 11, No. 1, pp. 125–131, DOI: 10.1109/60.486586.
12. Anderson P.M., Fouad A.A. Power system control and stability, Second edition, Willey-Interscience A John Wiley & Sons Inc, USA, 2002, 664 p.
13. Kashki M., Abido M.A., Abdel-Magid Y.L. Power System Dynamic Stability Enhancement Using Optimum Design of PSS and Static Phase Shifter Based Stabilizer. – Arabian Journal for Science and Engineering, 2013, vol. 38, No.3, pp. 637–650, DOI:10.1007/s13369-012-0325-z.
14. Ray P.K., et al. A Hybrid Firefly-Swarm Optimized Fractional Order Interval Type-2 Fuzzy PID-PSS for Transient Stability Improvement. – IEEE Transactions on Industry Applications, 2019, vol. 55, No. 6, pp. 6486-6498, DOI: 10.1109/TIA.2019.2938473.
15. Allaev K., Makhmudov T. Analysis of small oscillations of complex electrical systems. – Rudenko International Conference “Methodological problems in reliability study of large energy systems”, 2020, vol. 216, pp. 1–4. https://doi.org/10.1051/e3sconf/202021601097.
16. Khobaragade T., Barve A. Enhancement of Power System Stability Using Fuzzy Logic Controller. – International Journal of Electrical, Electronics and Computer Engineering, 2012, 1(2), pp. 71–80.
17. Zadeh L.A. Fuzzy sets. – Information and control, 1965, vol. 8, pp. 338–353.
18. Bakolia V., Joshi S.N. Design and Analysis of Fuzzy Logic based Power System Stabilizer. – International Journal of Engineering Research & Technology (IJERT), 2020, vol. 9, iss. 08, pp. 414–418.
19. Аллаев К.Р., Мирзабаев А.М. Матричные методы анализа малых колебаний электрических систем. Ташкент: Fan va texnologiya, 2016, 432 с.
20. Murali D. Comparison of Adaptive Neuro-Fuzzy based PSS and SSSC Controllers for Enhancing Power System Oscillation Damping. – AMSE JOURNALS –2016-Series: Advances C, 2016, vol. 71, No. 1, pp. 24–38.
21. Sreedivya K.M., Jeyanthy P.A., Devaraj D. An Effective AVR-PSS Design for Electromechanical Oscillations Damping in Power System. – IEEE International Conference on Clean Energy and Energy Efficient Electronics Circuit for Sustainable Development, 2019, pp. 1–5, DOI: 10.1109/INCCES47820.2019.9167703.
22. Lu S., et al. Parameter Tuning and Simulation Analysis of PSS Function in Excitation System with Suppression of Low Frequency Oscillation. – IEEE 8th International Conference on Advanced Power System Automation and Protection, 2019, pp. 474–479, DOI: 10.1109/APAP47170.2019.9224931.
23. Sorrentino E., León F. Comparison among typical input signals of different types of Power System Stabilizers (PSS). – 10th IEEE Andean Conference, Technology and Innovation ANDESCON, 2020, pp. 1–6, DOI: 10.1109/ANDESCON50619.2020.9272090.
#
1. Allaev K.R., et al. Asynchronous generators as power system’s natural dampers. – 43rd International Conference on Large High Voltage Electric Systems, CIGRE, Paris, France, 2010, pp. 1–9.
2. Kundur P. Power System Stability and Control. McGraw-Hill, Inc., 1994, 1176 p.
3. Ngoc-Khoat Nguyen. Intelligent Power System Stabilizers using Fuzzy Logic Technique and Sliding Mode Control Strate-gy. – International Journal of Innovative Technology and Exploring Engineering, 2019, vol. 8, iss. 10, pp. 115–120.
4. Jalayer R., Ooi B. Co-Ordinated PSS Tuning of Large Power Systems by Combining Transfer Function-Eigenfunction Analysis (TFEA), Optimization, and Eigenvalue Sensitivity. – IEEE Transactions on Power Systems, 2014, vol. 29, No. 6, pp. 2672–2680, DOI: 10.1109/TPWRS.2014.2314717.
5. Jalaluddin M., et al. Design and performance evaluation of accelerating power based fuzzy logic power system stabilizer. – International Journal of Electrical and Electronics Engineering Research, 2014, vol. 4, iss. 2, pp. 369–378.
6. Allaev K., Makhmudov T. Research of small oscillations of electrical power systems using the technology of embedding systems. – Electrical Engineering, 2020, 102(1), pp. 309–319, DOI:10.1007/s00202-019-00876-9.
7. Jebali M., et al. Optimizing PSS parameters for a multi-machine power system using genetic algorithm and neural network techniques. – The International Journal of Advanced Manufacturing Technology, 2017, No. 90, pp. 2669–2688. DOI:10.1007/s00170-016-9547-7.
8. GOST 21558–2018. Sistemy vozbuzhdeniya turbogeneratorov, gidrogeneratorov i sinhronnyh kompensatorov (Excitation systems for turbine generators, hydrogenerators and synchronous compensators). М.: Standartinform, 2019, 19 p.
9. Gu W. Commissioning generator AVR, PSS and model validation. – IEEE 28th Canadian Conference on Electrical and Computer Engineering, 2015, pp. 669–673, DOI:10.1109/CCECE.2015.7129354.
10. Chitara D., et al. Cuckoo Search Optimization Algorithm for Designing of a Multimachine Power System Stabilizer. – IEEE Transactions on Industry Applications, 2018, vol. 54, No. 4, pp. 3056–3065, DOI: 10.1109/TIA.2018.2811725.
11. Hiyama T., Oniki S., Nagashima H. Evaluation of advanced fuzzy logic PSS on analog network simulator and actual installation on hydro generators. – IEEE Transactions on Energy Conversion, 1996, vol. 11, No. 1, pp. 125–131, DOI: 10.1109/60.486586.
12. Anderson P.M., Fouad A.A. Power system control and stability, Second edition, Willey-Interscience A John Wiley & Sons Inc, USA, 2002, 664 p.
13. Kashki M., Abido M.A., Abdel-Magid Y.L. Power System Dynamic Stability Enhancement Using Optimum Design of PSS and Static Phase Shifter Based Stabilizer. – Arabian Journal for Science and Engineering, 2013, vol. 38, No.3, pp. 637–650, DOI:10.1007/s13369-012-0325-z.
14. Ray P.K., et al. A Hybrid Firefly-Swarm Optimized Fractional Order Interval Type-2 Fuzzy PID-PSS for Transient Stability Improvement. – IEEE Transactions on Industry Applications, 2019, vol. 55, No. 6, pp. 6486-6498, DOI: 10.1109/TIA.2019.2938473.
15. Allaev K., Makhmudov T. Analysis of small oscillations of complex electrical systems. – Rudenko International Conference “Methodological problems in reliability study of large energy systems”, 2020, vol. 216, pp. 1–4. https://doi.org/10.1051/e3sconf/202021601097.
16. Khobaragade T., Barve A. Enhancement of Power System Stability Using Fuzzy Logic Controller. – International Journal of Electrical, Electronics and Computer Engineering, 2012, 1(2), pp. 71–80.
17. Zadeh L.A. Fuzzy sets. – Information and control, 1965, vol. 8, pp. 338–353.
18. Bakolia V., Joshi S.N. Design and Analysis of Fuzzy Logic based Power System Stabilizer. – International Journal of Engineering Research & Technology (IJERT), 2020, vol. 9, iss. 08, pp. 414–418.
19. Allayev K.R., Mirzabaev A.M. Matrichnye metody analiza malykh kolebaniy elektricheskikh sistem (Matrix methods for the analysis of small vibrations of electrical systems). Tashkent: Fan va texnologiya, 2016, 432 p.
20. Murali D. Comparison of Adaptive Neuro-Fuzzy based PSS and SSSC Controllers for Enhancing Power System Oscillation Damping. – AMSE JOURNALS –2016-Series: Advances C, 2016, vol. 71, No. 1, pp. 24–38.
21. Sreedivya K.M., Jeyanthy P.A., Devaraj D. An Effective AVR-PSS Design for Electromechanical Oscillations Damping in Power System. – IEEE International Conference on Clean Energy and Energy Efficient Electronics Circuit for Sustainable Development, 2019, pp. 1–5, DOI: 10.1109/INCCES47820.2019.9167703.
22. Lu S., et al. Parameter Tuning and Simulation Analysis of PSS Function in Excitation System with Suppression of Low Frequency Oscillation. – IEEE 8th International Conference on Advanced Power System Automation and Protection, 2019, pp. 474–479, DOI: 10.1109/APAP47170.2019.9224931.
23. Sorrentino E., León F. Comparison among typical input signals of different types of Power System Stabilizers (PSS). – 10th IEEE Andean Conference, Technology and Innovation ANDESCON, 2020, pp. 1–6, DOI: 10.1109/ANDESCON50619.2020.9272090
