Analysis of Static and Dynamic Characteristics of Practical Step-Up Nine-Switch Matrix Converter

Abstract

The static and dynamic characteristics

of a practicable step-up nine-switch matrix convertor

under the control strategy proposed by

Venturini are analysed fully by the recently presented

circuit DQ transformation technique and

signal flow graphs. The step-up nine-switch matrix

convertor consists of nonideal voltage and current

sources, such as occur in practical inductance and

capacitance filters. The energy storage elements of

inductors and capacitors are not simplified into

ideal current and voltage sources, as in most previous

works, so that the dynamic behaviour of the

convertor can be explored. Several static and

dynamic features of the convertor, such as steadystate

input/output voltage gain, input power

factor and transient response, are predicted analytically

and verified by computer simulations.

The signal flow graph is adopted to solve the

complex fourth-order equivalent convertor and

thus the nine-switch matrix convertor is analysed

fully in explicit form. It is found that the voltage

gain and input displacement angle cannot be independently

controllable, unlike the ideal nineswitch

matrix convertor case; however they are

controllable to a certain extent by a properly

selected switch modulation function. The paper

compares computer simulation results with those

obtained by analytic technique. The authors

expect to report on practical circuit work in due

course.