Grafik Nichols: Wani ne?

Me ke Nau'o'i da Zaburin Nichols?

Zaburin Nichols (ko kuma ana ake amfani da sunan Zaburin Nichols) yana amfani a tattalin sinyalin da kudin inganci don tabbatar da zama da tsafta kan ta hanyar jumlar addinin bayanai. An sanya zaburin Nichols daga abubuwan da aka bani shi, Nathaniel B. Nichols.

Yadda Yake Zaburin Nichols Ya Hauki?

Mahaifuka masu tsari M da kuma mahaifuka masu takamun N sun fi sanya waɗannan abubuwa a cikin zaburin Nichols.

Mahaifuka M da N masu tsari a cikin G (jω) za su iya amfani a tattalin da kuma kudin inganci.

Amma, mahaifuka M da N masu tsari a cikin gain phase plane an yi wadanda za su ba da bayani da biyo da ƙarin gudummawa.

Gain phase plane yana nuna gain a decibels a alamar tsaye (alamar tsaye na yara) da kuma takamu na phase angle a alamar tsaye (alamar tsaye na yamma).

Mahaifuka M da N masu G (jω) a cikin gain phase plane suna zama contours a rectangular coordinates.

Wani wurin a cikin mahaifuka M a cikin G (jω) plane ya zama a gain phase plane tare da zuwa vector mai girma daga asalin G (jω) plane zuwa wani wurin a cikin M circle kuma saukar da girman da ita ce a dB da kuma takamun da ita ce a digiri.

Wurin muhimmanci a cikin G (jω), plane yana nufin wurin da ake nufin zero decibels da -180o a gain phase plane. Zaburi a gain phase plane yana nufin zaburin Nichols (ko kuma Zaburin Nichols).

Za a iya ƙirƙira compensators tare da zaburin Nichols.

An amfani da zaburin Nichols don ƙirƙira motoci DC. Wannan an amfani a tattalin sinyalin da kuma kudin inganci.

Zaburin Nyquist a cikin complex plane yana nuna yadda takamu na transfer function da kuma ƙarin girman magnitude suna haɗa. A zan iya samun gain da takamu don wata frequency.

Takamun alamar tsaye na yammacin real axis yana nuna takamu da ƙarin girman da ita ce daga asalin complex plane yana nuna gain. Akwai abubuwa masu yadda a cikin zaburin Nichols a kudin inganci.

Sun hada:

• Za a iya tabbatar da gain da phase margins tare da kuma graphically.

• Za a iya samun closed loop frequency response daga open loop frequency response.

• Gain na system yana iya canzawa zuwa ɓangaren da suka da ma'ana.

• Zaburin Nichols yana ba da frequency domain specifications.

Akawo akwai wasu matsaloli a cikin zaburin Nichols. Amfani da zaburin Nichols yana da ƙarin lashe don ƙarin ƙaramin gain.

Mahaifuka M da N a cikin zaburin Nichols suna zama circles mai kafa.

Zaburin Nichols mai kama yana nuna takamun G (jω) daga 0 zuwa -360o. Ƙasar ∠G(jω) yana amfani don tattalin systems daga -90o zuwa -270o. Waɗannan curves suna duba har shekaru 180o interval.

Idan open loop T.F of unity feedback system G(s) yana nuna

Closed loop T.F yana nuna

Daga baya, s = jω a cikin wannan eq., frequency functions suna nuna,

da kuma

Bayan da ake ƙasance G(jω) daga waɗannan duwa ɗaya

da kuma

Bayanin: Rahotanni na asalin, babban rubutu mai zama da shiga, idane babu gabatarwa zaka iya rauta doke.