Biletskyi Y. Development of methods for the synthesis of nonlinear electrical systems on an energy basis

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0525U000252

Thesis Registration Form

0525U000252.pdf

Applicant for

Yurii O. Biletskyi

Specialization

05.09.03 - Електротехнічні комплекси та системи

Date of defense

09-05-2025

Specialized Academic Board

Д 35.052.02

Lviv Polytechnic National University

Essay

Dissertation for obtaining the scientific degree of Doctor of Technical Sciences (Doctor of Science), specialty 05.09.03 – "Electrotechnical complexes and systems". – Lviv Polytechnic National University, Ministry of Education and Science of Ukraine, Lviv, 2025. The dissertation is devoted to the solution of a pressing scientific and-technical problem in the field of electrical engineering, which consists of developing energy-based approaches for control synthesis in nonlinear multiphysical electrical systems and combining them into a comprehensive approach that includes system mathematical modelling, their dynamic synthesis, optimisation of energy conversions in steady-state modes, and computer modelling. Procedures of an energy-shaping control system (ESCS) synthesis, which ex-pand ESCS control capabilities, are proposed with respective computer program. A method for ESCS parametric synthesis for linear and nonlinear systems based on the theory of optimal control and the modified Riccati equation has been developed. ESCS were successfully designed for PMSM, DCM, DC-DC converter, TM and dif-ferent HESS systems. The approach of linear thermodynamics of non-equilibrium processes (LTNP) has been developed to analyse energy processes and improve their efficiency. It was successfully used for SPMSM, IPMSM, WPS, WECS and respec-tive design recommendations or control strategies were received. As ESCS principle effectively implements the defined control strategies for nonlinear and multiphysics systems these approaches were combined. A pulsating mode for autonomous direct-driven SWPS operation with the injection of an intermediate SC buffer into the en-ergy flow channel that boosts productivity by 64% is proposed. The proposed com-bination of energetic macroscopic representation (EMR) and ESCS method improves the accuracy of modelling and control. The practical significance of the work is confirmed by acts of implementation in production and educational processes.

Official opponents

Leonid I. Mazurenko
Petro F. Vasko
Sergii Kovbasa

Scientific advisers

Ihor Z. Shchur

Research papers

● Biletskyi, Y., & Shchur, I. (2025). Efficiency improvement in standalone solar PV water pumping system by pulsating pump operation based on intermediate supercapacitor buffer. e-Prime - Advances in Electrical Engineering, Electronics and Energy, 11, 100913. (Scopus,Q2)

Shchur, I., Biletskyi, Y., & Kopchak, B. (2024). Efficiency Analysis and Optimization of Two-Speed-Region Operation of Permanent Magnet Synchronous Motor Taking into Account Iron Loss Based on Linear Non-Equilibrium Thermodynamics. Machines, 12(11), 826. (Scopus,Q2)

Shchur, I., Lis, M., & Biletskyi, Y. (2023). A non-equilibrium thermodynamic approach for analysis of power conversion efficiency in the wind energy system. Energies, 16(13). (Scopus,Q1)

Lozynskyy, A., Perzynski, T., Kozyra, J., Biletskyi, Y., & Kasha, L. (2021). The interconnection and damping assignment passivity-based control synthesis via the optimal control method for electric vehicle subsystems. Energies, 14(12). (Scopus,Q1)

Shchur, I., & Biletskyi, Y. (2021). Passivity-based control of water pumping system using BLDC motor drive fed by solar PV array with battery storage system. Energies, 14(23). (Scopus,Q1)

Білецький, Ю. (2024). Ефективності роботи сонячної водопомпової установки на основі термодинамічного аналізу перетворення енергії у відцентровій помпі. Electrical Power and Electromechanical Systems, 1(6), 11-24.

Biletskyi, R., Lozynskyy, O., Biletskyi, Y., & Tsyapa, V. (2021). Analysis of Lyapunov matrices’ application methods for optimization of stationary dynamic systems. Електроенергетичні та електромеханічні системи, 3(1), 1–7.

Shchur, I., Kuzyk, R., & Biletskyi, Y. (2021). Passivity-based control system for stand-alone hybrid electrogenerating complex. Applied Aspects of Information Technologies, 4(2), 140–152.

Lozynskyy, A., Demkiv, L., Lozynskyy, O., & Biletskyi, Y. (2020). Optimization of the electromechanical system by formation of a feedback matrix based on state variables. Електроенергетичні та електромеханічні системи, 2(1s), 18–26.

Lozynskyy, O., Biletskyi, Y., Lozynskyy, A., Moroz, V., & Kasha, L. (2020). Construction of open-loop electromechanical system fundamental matrix and its application for calculation of state variables transients. Energy Engineering and Control Systems, 6(2), 110–119.

Shchur, I., & Biletskyi, Y. (2020). Improved structure of passivity-based control of battery-supercapacitor hybrid energy storage system. Applied Aspects of Information Technologies, 3(4), 232–245.

Білецький, Ю. О., Кузик, Р. В., & Ломпарт, Ю. В. (2020). Синтез та аналіз системи енергоформуючого керування вітросонячною енергоустановкою з гібридною системою накопиченя енергії. Електроенергетичні та електромеханічні системи, 2(1), 8–17.

Shchur, I., Havdo, I., & Biletskyi, Y. (2020). Modeling of two-motor front-wheel drive control for electric vehicle with electronic differential based on energetic macroscopic representation. Energy Engineering and Control Systems, 6(1), 51–60.

Lozynskyy, O., Moroz, V., Biletskyi, R., & Biletskyi, Y. (2019). Analytical design of dynamic system regulators taking into account the effect of disturbing factors. Computational Problems of Electrical Engineering, 9(1), 21–26.

Щур, І. З., & Білецький, Ю. О. (2018). Енергоефективне пряме керування моментом у двозонному електроприводі електромобіля на базі синхронної машини з постійними магнітами. Вісник Національного університету “Львівська політехніка”. Серія: Електроенергетичні та електромеханічні системи, 900, 57–66.

Білецький, Ю. О., & Білецький, Р. О. (2017). Енергоформуюче керування нелінійними системами на прикладі двозонного електроприводу постійного струму. Вісник Національного університету “Львівська політехніка”. Серія: Електроенергетичні та електромеханічні системи, 870, 9–16.

Корендій, В. М., Білецький, Ю. О., Дмитерко, П. Р., & Фурдас, Ю. В. (2016). Обґрунтування розвитку та аналіз конструктивних особливостей горизонтально-осьових вітроустановок з лопатями вітрильного типу. Вісник Національного університету “Львівська політехніка”. Серія “Динаміка, міцність та проектування машин і приладів, 838, 37–48.

Білецький, Ю. О. (2016). Системи енергоформуючого керування синхронною машиною з постійними магнітами як гамільтоновою системою з керованими портами. Вісник Національного університету “Львівська політехніка”. Серія: Електроенергетичні та електромеханічні системи, 840, 3–9.

Щур, І. З., & Білецький, Ю. О. (2018). Енергоформуюче керування нелінійними електромеханічними системами з синхронними машинами на постійних магнітах: монографія. Львів: Видавництво Тараса Сороки, 172 с.

Shchur, I., Lozinskyi, A., Kopchak, B., Biletskyi, Y., & Shchur, V. (2018). Passive stall control systems of power limitation modes for vertical axis wind turbines (VAWT). Lecture Notes in Electrical Engineering, 452, 131–159.

Shchur, I., & Biletskyi, Y. (2020). Energetic microscopic representation (EMR) and passivity-based control of multi-input systems with non-linear coupled dynamics (PMSM control example). Proceedings of the 25th IEEE International Conference on Problems of Automated Electrodrive: Theory and Practice (PAEP), 1–6.

Kuzyk, R., & Biletskyi, Y. (2019). Energy-shaping control of the wind-solar power plant with a hybrid energy storage system. Proceedings of the 9th International Youth Science Forum "Litteris et Artibus", 80–85.

Shchur, I., & Biletskyi, Y. (2019). Passivity-based control of hybrid energy storage system with common battery and modular multilevel DC-DC converter-based supercapacitor packs. Computational Problems of Electrical Engineering: 20th International Conference, September 15–18, Slavske–Lviv, Ukraine.

Shchur, I., & Biletskyi, Y. (2018). Interconnection and damping assignment passivity-based control of semi-active and active battery/supercapacitor hybrid energy storage systems for stand-alone photovoltaic installations. Advanced Trends in Radioelectronics, Telecommunications and Computer Engineering: Proceedings of the 14th International Conference, 210–214.

Lompart, Y., & Biletskyi, Y. (2018). Analysis of the feasibility of using an AC motor with new winding type for building electric vehicle. VІIІ Міжнародний молодіжний науковий форум "Litteris et Artibus" & 13-та Міжнародна конференція "Молоді вчені до викликів сучасної технології", 117–119.

Shchur, I., & Biletskyi, Y. (2018). Battery currents limitation in passivity-based controlled battery/supercapacitor hybrid energy storage system. Electronics and Nanotechnology (ELNANO): Proceedings of the 2018 IEEE 38th International Conference, 504–510.

Shchur, I., & Biletskyi, Y. (2018). Robust passivity-based controllers for fast output voltage regulated, non-ideal DC-DC boost converter in Hamiltonian representation. 2018 3rd IEEE International Conference on Intelligent Energy and Power Systems: Proceedings, 310–315.

Luchko, M., & Biletskyi, Y. (2018). Comparative analysis of different types of dynamic solar tracking systems. VІІІ Міжнародний молодіжний науковий форум "Litteris et Artibus" & 13-та Міжнародна конференція "Молоді вчені до викликів сучасної технології", 115–116.

Shchur, I., & Biletskyi, Y., Holovach, I. (2017). Improving of IDA-PBC systems by forming additional regulatory actions on directly uncontrollable system loops. First IEEE Ukraine Conference on Electrical and Computer Engineering UKRCON-2017: Proceedings, 504–507.

Biletskyi, R., & Biletskyi, Y. (2017). Nonlinearity compensation for two-zone energy-shaping control systems of DC drive. Litteris et Artibus: VІI International Youth Science Forum, 164–166.

Shchur, I., Biletskyi, Y., & Shchur, V. (2017). Energy efficient and simple control of stand-alone combine heat-power generation small wind turbine. First IEEE Ukraine Conference on Electrical and Computer Engineering UKRCON-2017: Proceedings, 483–488.

Biletskyi, R., & Biletskyi, Y. (2016). Control systems for DC motor as port-controlled Hamiltonian system. Litteris et Artibus: VI International Youth Science Forum, 197–198.

Biletskyi, Y. (2015). Control systems of permanent magnet synchronous machine as port-controlled Hamiltonian system. Litteris et Artibus: V International Youth Science Forum, 194–195.

Files

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