Space-vector (pulse width) modulation technique is a PWM technique for three-phase voltage-source inverters.
Read the white paper I linked below, or the app note that I also linked below.
Interested in the real nitty gritty? Try the PhD Thesis that I linked below.
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Comparison of space vector modulation techniques based onperformance indexes and hardware implementation
a vector with nothing in it
There does not seem to be an under vector room, but there is vector space. Vector space is a structure that is formed by a collection of vectors. This is a term in mathematics.
Vector spaces can be formed of vector subspaces.
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