Nîgra Nichols: Yê çi ye?

Nichols Chart çi ye?

Nichols Chart (yana Nichols Plot di de) signal processing û system control design da bi kar anîn e ku stabilitî û closed-loop frequency response yek system feedback dîtin bide. Nichols chart navê wekhevî Nathaniel B. Nichols ne.

Nichols Chart ji chêm re were kare?

M-circles constant magnitude loci û N-circles constant phase angle loci nîşanên asayî yên li ser Nichols chart design bikin.

M û N circles constant G (jω) plane bi kar anîn e ku control systems dînin û design bikin.

Lê M û N circles constant gain phase plane ji bo system design û analysis tayin kirin, wê ku plotan informasyon bi manipulasyonên kam zêde dest pêkirin.

Gain phase plane grafik ê ku gain decibels li ser ordinate (vertical axis) û phase angle li ser abscissa (horizontal axis) heye.

M û N circles G (jω) gain phase plane li ser rectangular coordinates transform bikin.

Pointek li ser M loci constant G (jω) plane bi kar anîn e ku vector directed ji origin G (jω) plane ji bo pointek li ser M circle û measurement length dB û angle degree bikin.

Critical point G (jω) plane point zero decibels û -180o gain phase plane ya wate. Plot M û N circles gain phase plane Nichols chart (yana Nichols plot) name ye.

Compensators bi Nichols plot design bikin.

Nichols plot technique bi DC motor design bikin. Ji bo signal processing û system control design bikar anîn.

Nyquist plot complex plane show how phase transfer function û frequency variation magnitude related. Gain û phase ji bo given frequency dîtin bide.

Angle positive real axis phase determine û distance from origin complex plane gain determine. Advantages Nichols’ plot control system engineering hene.

Heme:

• Gain û phase margins easily û graphically determined bikin.

• Closed loop frequency response li ser open loop frequency response tayin bikin.

• Gain system adjusted to suitable values bikin.

• Nichols chart provides frequency domain specifications.

Drawbacks Nichols plot hene. Using Nichols plot difficult small changes in gain.

M û N circles constant Nichols chart deformed into squashed circles bikin.

Complete Nichols chart extends for phase angle G (jω) from 0 to -360o. Region ∠G(jω) used for analysis systems between -90o to -270o. These curves repeat after every 180o interval.

If the open loop T.F of unity feedback system G(s) is expressed as

Closed loop T.F is

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

and

Eliminating G(jω) from the above two eq.

and

Statement: Respect the original, good articles worth sharing, if there is infringement please contact delete.