By Neil D Kelley

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**Extra resources for Analysis Of A Wind Turbine**

**Example text**

The crosses on the diagram show the exact point for a given frequency. It can be 36 2 Feedback Control Theory Continued 5 Amp(ω) Fig. 25s 2 . 1 1 ω 10 seen at the intersection point there is an exact point, which has happened by chance. Otherwise more points are needed to be calculated. The phase angle between a unity circle and Nyquist plot occurs at phase angle of 90°. 7 Bode Diagram Bode diagram is an alternative way of presenting the frequency response of open loop transfer function. The amplitude ratio in decibels is plotted against frequency in logarithmic scale.

40) The final value theorem can now be used to find the steady state error for various input function. 40) gives e=0 It shows that the steady state error for step input is zero. Although unit step input is used, similar results can be obtained by multiplying the result by constant of the step input, which in this example is unity. The same way for unit ramp input of θi = t the Laplace Transform by referring to the table of Laplace Transform gives θi = 1 s2 48 2 Feedback Control Theory Continued Using the final value theorem the error becomes e = Kd It shows that although the derivative feedback introduces damping, it introduces a following error in the system.

40) The final value theorem can now be used to find the steady state error for various input function. 40) gives e=0 It shows that the steady state error for step input is zero. Although unit step input is used, similar results can be obtained by multiplying the result by constant of the step input, which in this example is unity. The same way for unit ramp input of θi = t the Laplace Transform by referring to the table of Laplace Transform gives θi = 1 s2 48 2 Feedback Control Theory Continued Using the final value theorem the error becomes e = Kd It shows that although the derivative feedback introduces damping, it introduces a following error in the system.