Environmental Engineering Reference
In-Depth Information
2.
Inter-reciprocity
Consider a periodically switched linear circuit
N.
The independent
sources and output branches are separated from the remaining branches,
which are called internal branches. The weak form of Tellegen's theorem
for periodically switched linear circuits becomes
where and denote the number of input/output ports and that
of internal branches, respectively. To find out the relation between the
inputs and outputs of
N
, it is desirable to construct in such a way that
the second summation in the above equation, i.e. the term associated
with the internal branches, vanishes. To achieve this, for each internal
element in
N
, we construct its counterpart in
such that the voltages
and currents of the elements satisfy
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