(Untitled) | (Untitled) | (Untitled) | (Untitled) | (Untitled) | Examples |

IEVref: | 351-50-19 | ID: | |||||||||||||

Language: | en | Status: Standard | |||||||||||||

Term: | proportional plus integral plus derivative element | ||||||||||||||

Synonym1: | PID element [Preferred] | ||||||||||||||

Synonym2: | |||||||||||||||

Synonym3: | |||||||||||||||

Symbol: | |||||||||||||||

Definition: | linear time-invariant transfer element created by the additive combination of a proportional element, an integral element and a derivative element Note 1 to entry: The transfer function of an ideal proportional plus integral plus derivative element is given by $\frac{V\left(s\right)}{U\left(s\right)}={K}_{\text{\Rho}}\cdot \left(1+\frac{1}{{T}_{\text{i}}\cdot s}+{T}_{\text{d}}\cdot s\right)$ where
Note 2 to entry: This entry was numbered 351-28-30 in IEC 60050-351:2006. | ||||||||||||||

Publication date: | 2013-11 | ||||||||||||||

Source: | |||||||||||||||

Replaces: | |||||||||||||||

Internal notes: | |||||||||||||||

CO remarks: | |||||||||||||||

TC/SC remarks: | |||||||||||||||

VT remarks: | |||||||||||||||

Domain1: | |||||||||||||||

Domain2: | |||||||||||||||

Domain3: | |||||||||||||||

Domain4: | |||||||||||||||

Domain5: |

Note 1 to entry: The transfer function of an ideal proportional plus integral plus derivative element is given by

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

where

K_{P} | is the proportional action coefficient; |

T_{d} | is the rate time; |

T_{i} | is the reset time; |

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 351-28-30 in IEC 60050-351:2006.