IMPULSE CONTROL HYBRID ELECTRICAL SYSTEM
This paper extends the recently introduced approach for modeling and solving the optimal control problem of fixedswitched mode DC-DC power converter. DCDC converters are a class of electric power circuits that used extensively in regulated DC power supplies, DC motor drives of different types, in Ph...
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Belarusian National Technical University
2017-01-01
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| Series: | Системный анализ и прикладная информатика |
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| Online Access: | https://sapi.bntu.by/jour/article/view/132 |
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| author | A. A. Lobaty Yu. N. Petrenko A. S. Abufanas I. Elzein |
| author_facet | A. A. Lobaty Yu. N. Petrenko A. S. Abufanas I. Elzein |
| author_sort | A. A. Lobaty |
| collection | DOAJ |
| description | This paper extends the recently introduced approach for modeling and solving the optimal control problem of fixedswitched mode DC-DC power converter. DCDC converters are a class of electric power circuits that used extensively in regulated DC power supplies, DC motor drives of different types, in Photovoltaic Station energy conversion and other applications due to its advantageous features in terms of size, weight and reliable performance. The main problem in controlling this type converters is in their hybrid nature as the switched circuit topology entails different modes of operation, each of it with its own associated linear continuous-time dynamics.This paper analyses the modeling and controller synthesis of the fixed-frequency buck DC-DC converter, in which the transistor switch is operated by a pulse sequence with constant frequency. In this case the regulation of the DC component of the output voltage is via the duty cycle. The optimization of the control system is based on the formation of the control signal at the output.It is proposed to solve the problem of optimal control of a hybrid system based on the formation of the control signal at the output of the controller, which minimizes a given functional integral quality, which is regarded as a linear quadratic Letov-Kalman functional. Search method of optimal control depends on the type of mathematical model of control object. In this case, we consider a linear deterministic model of the control system, which is common for the majority of hybrid electrical systems. For this formulation of the optimal control problem of search is a problem of analytical design of optimal controller, which has the analytical solution.As an example of the hybrid system is considered a step-down switching DC-DC converter, which is widely used in various electrical systems: as an uninterruptible power supply, battery charger for electric vehicles, the inverter in solar photovoltaic power plants.. A qualitative change in the projected illustration of the control signal, a sequence of control pulses and output management object (inverter). |
| format | Article |
| id | doaj-art-ea1cf6c9d4714efd82c9eb8d025b057d |
| institution | Kabale University |
| issn | 2309-4923 2414-0481 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Belarusian National Technical University |
| record_format | Article |
| series | Системный анализ и прикладная информатика |
| spelling | doaj-art-ea1cf6c9d4714efd82c9eb8d025b057d2025-02-03T05:16:50ZengBelarusian National Technical UniversityСистемный анализ и прикладная информатика2309-49232414-04812017-01-01044652110IMPULSE CONTROL HYBRID ELECTRICAL SYSTEMA. A. Lobaty0Yu. N. Petrenko1A. S. Abufanas2I. Elzein3Belarusian National Technical UniversityBelarusian National Technical UniversityBelarusian National Technical UniversityBelarusian National Technical UniversityThis paper extends the recently introduced approach for modeling and solving the optimal control problem of fixedswitched mode DC-DC power converter. DCDC converters are a class of electric power circuits that used extensively in regulated DC power supplies, DC motor drives of different types, in Photovoltaic Station energy conversion and other applications due to its advantageous features in terms of size, weight and reliable performance. The main problem in controlling this type converters is in their hybrid nature as the switched circuit topology entails different modes of operation, each of it with its own associated linear continuous-time dynamics.This paper analyses the modeling and controller synthesis of the fixed-frequency buck DC-DC converter, in which the transistor switch is operated by a pulse sequence with constant frequency. In this case the regulation of the DC component of the output voltage is via the duty cycle. The optimization of the control system is based on the formation of the control signal at the output.It is proposed to solve the problem of optimal control of a hybrid system based on the formation of the control signal at the output of the controller, which minimizes a given functional integral quality, which is regarded as a linear quadratic Letov-Kalman functional. Search method of optimal control depends on the type of mathematical model of control object. In this case, we consider a linear deterministic model of the control system, which is common for the majority of hybrid electrical systems. For this formulation of the optimal control problem of search is a problem of analytical design of optimal controller, which has the analytical solution.As an example of the hybrid system is considered a step-down switching DC-DC converter, which is widely used in various electrical systems: as an uninterruptible power supply, battery charger for electric vehicles, the inverter in solar photovoltaic power plants.. A qualitative change in the projected illustration of the control signal, a sequence of control pulses and output management object (inverter).https://sapi.bntu.by/jour/article/view/132mathematical modelthe hybrid systemthe quality of the functional optimization interval control signal |
| spellingShingle | A. A. Lobaty Yu. N. Petrenko A. S. Abufanas I. Elzein IMPULSE CONTROL HYBRID ELECTRICAL SYSTEM Системный анализ и прикладная информатика mathematical model the hybrid system the quality of the functional optimization interval control signal |
| title | IMPULSE CONTROL HYBRID ELECTRICAL SYSTEM |
| title_full | IMPULSE CONTROL HYBRID ELECTRICAL SYSTEM |
| title_fullStr | IMPULSE CONTROL HYBRID ELECTRICAL SYSTEM |
| title_full_unstemmed | IMPULSE CONTROL HYBRID ELECTRICAL SYSTEM |
| title_short | IMPULSE CONTROL HYBRID ELECTRICAL SYSTEM |
| title_sort | impulse control hybrid electrical system |
| topic | mathematical model the hybrid system the quality of the functional optimization interval control signal |
| url | https://sapi.bntu.by/jour/article/view/132 |
| work_keys_str_mv | AT aalobaty impulsecontrolhybridelectricalsystem AT yunpetrenko impulsecontrolhybridelectricalsystem AT asabufanas impulsecontrolhybridelectricalsystem AT ielzein impulsecontrolhybridelectricalsystem |