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Sistem Kontrol na Turanci: Me kana wannan? (Rise Time, Settling Time da Transfer Function)

Electrical4u
فیلڈ: Karkashin Kuliya da Dukkana
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China

What Is A First Order Control System

Matsayin wani ƙasa na kontrol da tana da ɗaya?

An ƙwareta ƙasa na kontrol da tana da ɗaya a matsayi ne kamar ƙasa na kontrol da yake da alaka daga magana (ko transfer function) na musamman ya zama ƙarfin bayanai na ɗaya. Ƙarfin bayanai na ɗaya ta ƙarfin bayanai da ke da ƙarfin bayanai na ɗaya, amma bai da ƙarfin bayanai da ke da ƙarfin bayanai na biyu. Ɗaukan ƙarfin bayanai shine ƙarfin bayanai mai tsawo a cikin ƙarfin bayanai.

A halin misali, za a iya duba diagram na blokka na ƙasa na kontrol a cikin haka.

First Order Control System Block Diagram
(a) Diagram na Blokka na ƙasa na kontrol da tana da ɗaya; (b) Diagram na Blokka na ƙasa na kontrol da tana da ɗaya

An ƙwareta transfer function (alaka daga magana) wannan ƙasa na kontrol a matsayi:

  \begin{align*} \frac{C(s)}{R(s)} = K \frac{1}{Ts+1} \end{align*}

Idan:

  • K ita ce DC Gain (DC gain of the system ratio between the input signal and the steady-state value of output)

  • T ita ce time constant na ƙasa (the time constant is a measure of how quickly a first-order system responds to a unit step input)

Duk da cewa ƙarfin bayanai na ɗaya shine ƙarfin bayanai mai tsawo a cikin ƙarfin bayanai. Na yi wannan da ɗan ɗaya kan s.

Idan haka s ana iya a gaba da ɗaya (s^1 = s), transfer function a nan ya zama ƙarfin bayanai na ɗaya. Saboda haka diagram na blokka a nan ya nuna ƙasa na kontrol da tana da ɗaya.

A halin misali, za a iya cewa transfer function ya zama:

  \begin{align*} \frac{C(s)}{R(s)} = K \frac{1}{Ts^2+1} \end{align*}

A halin misali, idan s ana iya a gaba da biyu (s^2), transfer function a nan ya zama ƙarfin bayanai na biyu. Saboda haka ƙasa na kontrol da transfer function a nan ya zama ƙasa na kontrol da tana da biyu.

Yawan ƙasashe na haɗin kai suna da ɗaya. Idan ƙasa na biyu ko da ɗaya na da ɗaya na da ƙasa na ɗaya, za a iya ƙunshi shi a matsayin ƙasa na ɗaya.

Masana'antu suna neman hanyoyi don ƙasashe zuwa masu inganci da ma ɗauke. Akwai biyu hanyoyi na kontrol. Wanda ɗaya ita ce ƙasa na kontrol mai ɗaya, control system, kuma maimakon ɗaya ita ce ƙasa na kontrol mai feedback.

A ƙasashe mai ɗaya, an yi aiki a kan magana kai da kuma ƙara aiki. Babu feedback a kan ƙasa saboda ƙasa ya ba da ƙarin bayanin da take ƙara aiki.

A ƙasashe mai feedback, ƙasa ta taka ƙarin bayanin da take ƙara aiki. An yi haka a kan feedback controller wanda ya kontrola ƙasa. Controller ya yi amfani a kan feedback.

Idan magana ita ce unit step, aiki ita ce step response. Step response ta bayyana ƙarin bayanin ƙasa. A nan akwai biyu ƙasashe, ƙasa na ɗaya da ƙasa na biyu, wadannan suna nufin yawan ƙasashe na haɗin kai.

Ƙasa na ɗaya ita ce ƙarfin bayanai na ɗaya, kuma ƙasa na biyu ita ce ƙarfin bayanai na biyu.

Ƙasa na ɗaya ita ce ƙasa da ke da integrator. Idan ƙasashe suna da biyu, integrator suka da biyu. Mathematically, ita ce ƙarfin bayanai na ɗaya da ke da lokaci.

Akwai yawan hanyoyi don tabbatar da bayanan ƙasa a tunan ƙarfin bayanai ko Laplace Transform, amma masana'antu suna samun yawan hanyoyi don tabbatar da bayanan ƙasa a tunan ƙarfin bayanai. Jami'i aiki na ƙasa ita ce forced response da natural response.

Ba da kyau kuma kara mai rubutu!

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