Modeling of multileg sine-wave inverters: a geometric approach
Ryan, M.J.; Lorenz, R.D.; De Doncker, R.
Industrial Electronics, IEEE Transactions on
Volume 46, Issue 6, Dec 1999 Page(s):1183 - 1191
Digital Object Identifier 10.1109/41.808008
Summary:Three fundamental sine-wave inverter topologies are analyzed:
two-leg (one-phase, two-wire); three-leg (three-phase, three-wire); and
four-leg (three-phase, four-wire). The topologies are
“full-bridge” voltage-source inverters with LC filters
suitable for producing sinusoidal output voltages. The switching states
and corresponding output voltage vectors produced by each inverter are
identified and presented along with an analysis of the geometric
arrangement of these voltage vectors. A pattern of characteristics is
established whereby the “qd” modeling forms commonly used
with three-leg inverters are extended to address the expanded
capabilities of the four-leg inverter. A unique 4×4 decoupling
transformation matrix is presented for the four-leg inverter that
enables direct transformation between the four-degree-of-freedom (DOF)
leg-modulation space of the inverter and its corresponding 3-DOF
output-voltage space. This is shown to be directly analogous to the
well-known “abc-qd” transformation developed for the
three-leg inverter. Fully decoupled models for each inverter are
presented
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