| Abstract |
A method is presented to compute the switching angles in a multilevel converter so as to produce
the required fundamental voltage while at the same time not generate higher order harmonics.
Previous work has shown that the transcendental equations characterizing the harmonic content
can be converted to polynomial equations which are then solved using the method of resultants from
elimination theory. However, when there are several DC sources, the degrees of the polynomials are
quite large making the computational burden of their resultant polynomials via elimination theory
quite high. Here, it is shown that by reformulating the problem in terms of power sums, the degrees
of the polynomial equations that must be solved are reduced significantly which in turn reduces
the computational burden. In contrast to numerical techniques, the approach here produces all
possible solutions. |
