Transfer constants are low-frequency gains (or in general ratios of the output to input variables) evaluated under different combinations of shorting and opening of reactive elements in the circuit (i.e., capacitors and inductors). They are used in
general time- and transfer constant (TTC) analysis The general time- and transfer-constants (TTC) analysis is the generalized version of the Cochran-Grabel (CG) method, which itself is the generalized version of zero-value time-constants (ZVT), which in turn is the generalization of the open-circui ...
to determine the numerator terms and the zeros in the transfer function. The transfer constants are calculated under similar zero- and infinite-value conditions of reactive elements used in the Cochran-Grabel (CG) method
to calculate
time constant In physics and engineering, the time constant, usually denoted by the Greek letter (tau), is the parameter characterizing the response to a step input of a first-order, linear time-invariant (LTI) system.Concretely, a first-order LTI system is a s ...
s, but calculating the low-frequency transfer functions from a defined input source to the output terminal, instead of the resistance seen by the reactive elements.
Transfer constants are shown as
, where the superscripts
, are the indexes of the elements infinite valued (short-circuited capacitors and open-circuited inductors) in calculation of the transfer constant and the remains elements zero valued.
The zeroth order transfer constant
denotes the ratio of the output to input when all elements are zero-valued (hence the superscript of 0).
often corresponds to the dc gain of the system.
References
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Electronics
Electronic circuits