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.