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Operation and Design of Multilevel Inverters Dr ... - MotorLab.com

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voltage. This magnetizing voltage can be expressed in terms <strong>of</strong> the transistor signals<br />

<strong>and</strong> dc voltage as<br />

1<br />

vam = −<br />

2<br />

( TaL<br />

TaR<br />

) vdc<br />

From (3.2-23), the magnetizing current can be calculated by<br />

(3.2-23)<br />

vam<br />

p iam<br />

= (3.2-24)<br />

L<br />

Once the magnetizing current is known, the left <strong>and</strong> right reactor currents can be<br />

found by solving the two unknowns from the two KCL equations<br />

asL<br />

asR<br />

Copyright 2005. K.A. Corzine 24<br />

m<br />

i − i = i<br />

(3.2-25)<br />

asL<br />

asR<br />

am<br />

i + i = i<br />

(3.2-26)<br />

Considering (3.2-23), it can be seen that the redundant states in Table 3.2-6 can<br />

make the magnetizing voltage positive or negative effecting the change in i am<br />

according to (3.2-24). This can be used to control i am to zero yielding zero<br />

differential mode current according to (3.2-25) so that i asR = iasL<br />

.<br />

It should be pointed out that the material presented herein shows the fundamental<br />

example. Extensions <strong>of</strong> this material include paralleling multi-level phases [7],<br />

<strong>com</strong>bining the parallel topology with an H-bridge structure [28], <strong>and</strong> paralleling<br />

more than two phases.<br />

as

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