IEVref:351-50-18ID:
Language:enStatus: Standard
Term: derivative action gain
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Definition: for a proportional plus derivative element with an additional first-order lag the ratio of the maximum gain resulting from the proportional plus derivative action with first-order lag to the gain resulting from proportional action only

SEE: Figure 18.

Note 1 to entry: The transfer function of a PD element with first-order lag is

$\frac{V\left(s\right)}{U\left(s\right)}={K}_{\text{Ρ}}\cdot \frac{1+{T}_{\text{d}}\cdot s}{1+{T}_{1}\cdot s}$

and using the derivative action gain a = Td/T1 the transfer function may be written

$\frac{V\left(s\right)}{U\left(s\right)}={K}_{\text{Ρ}}\cdot \frac{1+{T}_{\text{d}}\cdot \text{s}}{1+\frac{{T}_{\text{d}}\cdot s}{a}}$

where
 KP is the proportional action coefficient; Td is the rate time; T1 is the time constant; a is the derivative action gain, 1 < a < ∞; s is the complex variable of the Laplace transform; U(s) is the input transform; V(s) is the output transform.

Note 2 to entry: This entry was numbered 351-28-29 in IEC 60050-351:2006.

Publication date:2013-11
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