IntroductionThe article is devoted to the issues of current balancing and reactive power compensation in a three-phase power supply system. Optimal in all these respects is the mode of full compensation of reactive power, by which we mean such a symmetrical mode, in which only active power is consumed from the source. The task of calculating the mode of full reactive power compensation is non-linear and can be solved using non-linear optimization methods based on the adopted parameters and optimization criteria. The objective of the article is to develop a visual model of the power supply system with an unbalanced load, in which current balancing and reactive power compensation is performed using a symmetrical-compensating device, which parameters are determined using search non-linear optimization tools and modern computer mathematics software packages. The purpose of the article is to research the modes of full compensation of reactive power in a three-phase power supply system with a linear asymmetric load in order to identify the ambiguity of solving the problem of synthesizing parameters of a reactive power compensator. Methodology of research consists in the development of a visual model of a power supply system that feeds unbalanced load. As a symmetrical compensating device, capacitors connected between the phases of the transmission line are used. The model is controlled by a program that launches the model and performs optimization and selection of optimization variable values. The optimization values are the capacitors of the symmetry-compensating device. The optimization criterion is a spherical metric consisting of the reactive powers of each source of electricity. Results lead depending on the choice of the initial values of the optimization variables, the optimization process enters two modes of full compensation of reactive power -main and additional. The main mode is characterized by small values of capacitors and small values of currents, and in the additional mode, these values of the system and operational parameters reach extremely large values that are unacceptable for practical use. Originality lies in the fact that in terms of optimization theory this means that there is no global optimum in the solution of the problem of full compensation, however, there are two local optimums. Both modes are stable, as evidenced by modeling on the SPS-model of the system in the time domain in the space of state variables. Practical significance of the work lies in the fact that when designing a microprocessor system that optimizes the operating mode of the power supply system, it is necessary to envisage the situation of additional mode.References 10, tables 1, figures 6. Key words: reactive power, reactive power compensator, search optimization, visual model, three-phase power supply system. -моделі і методу деформованого багатогранника, показали, що в залежності від початкових умов для змінних оптимізації, процес оптимізації може призводити до двох різних рішень. Основний режим повної компенсації хар...
Purpose is to develop a method for controlling a power active filter based on search optimization using software of Mathlab package and applying this method for balancing and compensating for all components of reactive power in a three-phase system feeding unbalanced linear and nonlinear loads simultaneously. Methodology consists in the development of a visual model of the power supply system that supplies unbalanced and non-linear loads, to the connection points of which a power active filter on IGBT transistors is connected according to a parallel type scheme. We propose an algorithm for calculating the chosen optimization criterion using a visual model, linking the visual model with an optimizing program, and performing a search engine optimization process using an embedded program that implements the deformable polyhedron algorithm. Results lead to an optimal mode, which is characterized by the amplitudes of the control signals of the power active filter control system determined by the search, as well as the initial value of the voltage on the filter energy exchange capacitor. Originality lies in the fact that the proposed method of controlling the operation of the power filter makes it possible to dispense with the construction of a relatively complex filter control system based on Clark's mathematical transformations. Practical value lies in the fact that finding a quasisteady-state optimal mode of the power supply system with a power active filter is performed automatically in the process of search optimization with a simplified control system. The above principles can be implemented in the microprocessor control system for power active filters. References 9, figures 4. Key words: search optimization, visual model, three-phase power supply system, reactive power, power active filter.Статья посвящена исследованию трехфазной четырехпроводной системы электроснабжения, питающей несимметричную трехфазную и однофазную нелинейную нагрузки. Силовой активный фильтр представляет собой четырехплечевой мостовой инвертор на IGBT транзисторах. Инвертор питается от энергообменного конденсатора и инжектирует корректирующие токи через буферные реакторы. В отличие от классической системы управления, основанной на преобразованиях Кларк для напряжений и токов, в рассматриваемом варианте предложено управление источниками эталонных сигналов, априори имеющими синусоидальную форму и совпадающими с фазами питающих источников электрической энергии. Определение необходимых амплитуд эталонных сигналов составляет сущность задачи поисковой оптимизации. Оптимизация осуществляется методом деформируемого многогранника с использованием визуальной модели системы электроснабжения с силовым активным фильтром. По завершении оптимизации система приходит к оптимальному режиму, характеризующемуся полной компенсацией всех составляющих реактивной мощности. Библ. 9, рис. 4. Ключевые слова: поисковая оптимизация, визуальная модель, трехфазная система электроснабжения, реактивная мощность, силовой активный фильтр.
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