The Use of a Geometric Approach for the Analysis of a Single-Phase Inverter

Mykolaiets, Dmytro Anatoliiovych

doi:10.20535/2523-4455.2019.24.2.169796

Cited by 1 publication

(3 citation statements)

References 7 publications

(6 reference statements)

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“…Inverter control does not allow simultaneous closure of switches in one leg, for example VT1 -VT4 [2], [3]. The closure of only one of these switches is taken into account, so there are eight states of the inverter that generate the voltages and currents presented in Table I.…”

Section: Fig 2 Vector Diagrams Of Spaces Of Input and Output Valuesmentioning

confidence: 99%

“…Another task is to ensure higher stability of the system, which is realized by adding more feedback [5]. Earlier, authors [2] - [5], [8], [9] have proposed the application of a geometric approach to describe semiconductor power converters, which allows using input independent variables to control the output parameters. The article [3] for the first time presents the principle of analysis of semiconductor converters using a geometric approach.…”

Section: Introductionmentioning

confidence: 99%

“…The article [3] for the first time presents the principle of analysis of semiconductor converters using a geometric approach. The article [2] presents the analysis of a single-phase inverter, the input parameters of which form a two-dimensional coordinate system. In articles [4], [5], [9] the analysis of the matrix converter is presented, and in [8] -the three-phase power active filter.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Control of Three-Phase Three-Leg Inverter With Using a Geometric Approach

Yama

Mykolaiets

2020

ECS

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To build various power supply systems, it is necessary to design a control system that would ensure electromagnetic compatibility with both the load and the source. It is proposed to apply the geometric approach to describe semiconductor power converters, which allows using input independent variables to control the output parameters. The analysis of a three-phase three-leg inverter with a symmetrical active load using a geometric approach is considered. A system of vectors is constructed on which the vectors of input values in three-dimensional space and their projections are shown, which form output values in two-dimensional and one-dimensional space. A table has been created that describes the values of currents and voltages in the converter for the corresponding switch states. Three basic vectors were selected, with the help of which all other vectors of input quantities can be obtained. Transition matrices for the input current and output voltages are obtained. An autonomous inverter control system is built using a geometric approach. The basis is a space-vector pulse-width modulation, with some changes. As a result, the problem of losing the degree of freedom by abandoning the polar coordinate system when switching to another reference system was solved. The solution was the introduction of a spherical coordinate system, which allows you to rotate the control vector in three-dimensional space. As a result, time diagrams of output voltages and currents corresponding to the theoretical ones are obtained. Most units in the control system under the mask implement the program code MATLAB: the transition from a three-dimensional Cartesian coordinate system to a rotating spherical, sector selection, the length of the reference vector and the value of angle, the duration of pulse-width modulation for each sector. The shape of the output voltages has a stepped shape. The shape of the generated currents repeats the shape of the output voltages.

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Section: Fig 2 Vector Diagrams Of Spaces Of Input and Output Valuesmentioning

confidence: 99%