Single-Phase Optimal Odd PWM Problem

Conference Paper (international conference)

Kujan Petr, Hromčík M., Šebek M.

serial: Proceedings of the 34th Annual Conference of the IEEE Industrial Electronics Society

action: The 34th Annual Conference of the IEEEE Industrial Electronics Society, (Orlando, US, 10.12.2008-13.12.2008)

research: CEZ:AV0Z10750506

project(s): 1M0567, GA MŠk, GA102/08/0186, GA ČR, LA300, GA MŠk

keywords: Optimal PWM problem, selected harmonics elimination, Newton identities

abstract (eng):

Optimal pulse width modulation (PWM) problem is an established method of generating PWM waveforms with low baseband distortion. In this paper we focused on computation of optimal switching angles of a odd PWM waveform for generating general odd symmetric waveforms. We introduce an exact and fast algorithm with the complexity of only O(n log2 n) arithmetic operations. This algorithm is based on transformation of appropriate trigonometric equations for each harmonics to a polynomial system of equations that is transferred to a special system of sum of powers. The solution of this system is carried out by modification of Newton’s identity via Pad´e approximation and orthogonal polynomials theory and property of symmetric polynomials. Finally, the optimal switching sequence is obtained by computing the zeros of two orthogonal polynomials in one variable.

abstract (cze):

Řešení problému jednofázového optimálního lichého PWM

RIV: BC