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The paper deals with a generalized description system of the two level inverter. Two methods of mathematical approach to the representation of the converter’s state are presented and discussed. One method is standard space vector and the other, originally designed by authors, is state vector representation. The notational system provides a general simplification and standardization of vectors identification. It contains a novel handy proposal of notation and marking which is useful for converter description. The notation system permits to accomplish a comparison and correlation between space and state vectors. It describes state and space vectors by use of the same numbers. Thanks to these properties the proponed mathematical tool can be extremely useful in designing the control algorithms for easy implementation and fast performance of the converter

State and Space Vectors - Complementary Description of the 2-level VSI