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What is meant by the natural frequency of a system?

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deepa

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what is meant by the natural frequency of a system,,
SΛ2+2ξWnS+WnΛ2......here Wn is called the natural frequency..

In case of a filter SΛ2 / WpΛ2 + S/ Wp .Qp + 1..Qp is the quality factor,then wat is Wp ?
when both the transfer functions are the same,how are they meaning different frequencies?
 

Re: natural frequency

deepa,
Natural frequency is the frequency at which the system would oscillate if the damping factor were zero.
Regards,
Kral
 

Re: natural frequency

deepa
Miguel is correct. For a 2nd order system, the damped natural frequency equals the undamped natural frequency times sqrt(1-d^2), where d is the damping factor. So the damped natural frequency is always lower than the undamped natural frequency. See any book on analog control systems.
Regards,
Kral
 

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