IEC 60050 - International Electrotechnical Vocabulary

IEVref:

351-50-18

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Status: Standard

Term:

derivative action gain

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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

$\frac{V (s)}{U (s)} = K_{Ρ} \cdot \frac{1 + T_{d} \cdot s}{1 + T_{1} \cdot s}$

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

$\frac{V (s)}{U (s)} = K_{Ρ} \cdot \frac{1 + T_{d} \cdot s}{1 + \frac{T_{d} \cdot s}{a}}$

where

K_P is the proportional action coefficient;

T_d 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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