Gurbin Nichols: Me ke shi?

Misalai Charti Nichols?

Misalai Charti Nichols (ko kuma Misalai Nichols) shine misala da ake amfani da shi a tattalin sinalin da kuma tsarin kontrol na zamantakewa don in gano inganci da tushen jumlar ta zama da yanayi a cikin tsari mai hankali. An kiranta sunan Misalai Charti Nichols daga shugaban ita, Nathaniel B. Nichols.

Yadda Ana Iya Amfani Da Misalai Charti Nichols

Misauna da mutane da M-circles da kuma misauna da darajar da N-circles su ne abubuwa masu yawa a tsarin Misalai Charti Nichols.

A zai iya amfani da M-circles da N-circles a G (jω) plane don in bincike da kuma tsara tsarin kontrol.

Amma, M-circles da N-circles a gain phase plane zai iya amfani da su don in tsara da kuma bincika tsarin kontrol saboda wannan misalai ke bayar da cikakken bayani da wata manipulashen.

Gain phase plane shine misalai da gain a decibels a tsakiyar yadda (vertical axis) da kuma darajar da angle a tsakiyar yamma (horizontal axis).

M-circles da N-circles a G (jω) a gain phase plane zai zama M da N contours a rectangular coordinates.

Rikitar da ya fi M loci a G (jω) plane zai zama a gain phase plane tare da zuwa vector directed from the origin of the G (jω) plane to a particular point on the M circle and then measuring the length in dB and angle in degree.

Point critical a G (jω), plane zai zama point of zero decibels and -180o a gain phase plane. Misalai M da N circles a gain phase plane shine Misalai Charti Nichols (ko kuma Misalai Nichols).

A zai iya tsara compensators tare da Misalai Nichols.

Technique Misalai Nichols tare da ake amfani da shi a tsara DC motor. Wannan shine a tattalin sinalin da kuma tsarin kontrol.

Nyquist plot a complex plane yana nuna yadda phase da transfer function da kuma frequency variation da magnitude suka kananan. A zai iya samun gain da kuma phase da karkashin frequency.

Angle of the positive real axis determines the phase and the distance from the origin of the complex plane determines the gain. Akwai abubuwa masu yawa ga Misalai Nichols a engineering na kontrol.

Sun hada:

• Gain da kuma phase margins zai iya samun da kuma graphically.

• Closed loop frequency response zai iya samun tare da open loop frequency response.

• Gain of the system zai iya sauti zuwa suitable values.

• Misalai Charti Nichols yana bayar da frequency domain specifications.

Akawo akwai wasu nasarorin ga Misalai Nichols. Amfani da Misalai Nichols yana da rashin aiki a kan small changes in gain.

M-circles da N-circles a Misalai Charti Nichols zai zama squashed circles.

Misalai Charti Nichols mai duka yana zama phase angle of G (jω) daga 0 to -360o. Region of ∠G(jω) yana amfani a binciken systems daga -90o to -270o. Wasu curves zai duba ba da 180o interval.

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

Closed loop T.F yana zama

Substituting s = jω in the above eq. frequency functions are,

and

Eliminating G(jω) from the above two eq.

and

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