“…In other words, the components V,', and V,', of the complete voltage vector depend on the direction of S,,, and ST, variations. This complete voltage vector can be generated either by a direct control of the VSI that is based on ail instantaneous model of the process or by anl indirect control that is based on an average model of the process (during a switching period).Direct Control of the voltage Source inverterGlobal switching function loci By substituting(16) in(15), the global switching function time-derivative, S, can then be written according to the difference between the available voltage vector (one of the eight voltage vectors which can be generated by the VSI) and the equivalent voltage vector, V__ which depends on the operating point: Loci of S wJhen the st<ator flux vector is located in the middle of (b) second-sector, (c) third-sector, (d) fith-sector, (e) sixth-sector, and (a) division ofthe angle 00, in six sectors in the plan(-a, for 1T= Te _case of a direct control of the VSI, the global switching function. S, has seven possible derivatives.…”