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Nyquist Stability Criterion

For the system to be stable, the Closed Loop Transfer Function can have no zeros on the Open Right Half Plane of the Complex Plane. The number Z of zeros on the Open Right Half Plane is given by:

Z=P-N

Where:

P - number of poles of the Closed Loop Transfer Function on the Open Right Half Plane (equal to the number of poles of the Open Loop Transfer Function on the Open Right Half Plane).

N - number of clockwise encirclements of point -1 of the Complex Plane.
 

SIMULAÇÕES EM ENGENHARIA ELÉTRICA

 

 

 

 

 

 

 

detalhes

 

 

 

 

 

 

 
DC MOTOR

STABILIZATION USING THE NYQUIST CRITERION AND THE FREQUENCY RESPONSE

How does this system behave? Under which conditions is it stable?

One possibility to understand the behavior is the analysis of the velocity that can be obtained using transfer function G_{1}\left ( s \right ). The plot of the step response shows the angular velocity varies when a step is applied and if it stabilizes after some time.

Enter the motor parameter values to determine the two models.

R_{a}= \Omega     J= Kg.m2     L_{a}=  H     B= Kg.m2/s

K_{t}=K_{e}=   Nm/A




The stability of the system can also be analyzed using the Nyquist Plot Criterion and the Open Loop Transfer Function.

For more information on the Nyquist Stability Criterion, click on the magnifying glass.

Real axis  to   Imaginary axis  to 

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