CONTROL OF THREE-PHASE THREE-LEG INVERTER WITH USING A GEOMETRIC APPROACH
DOI:
https://doi.org/10.18372/1990-5548.65.14990Keywords:
Geometric approach, three-phase inverter, system of orthogonal vectorsAbstract
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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