# Quick look at Bode Plot.

Cuthbert Nyack

Applet provides a quick way to see Bode plots. Magnitude is in red and phase in green.

Lag factors
w_{n}/(s + w_{n}) are marked by pink "x" and entered with tf check boxes. This is equivalent to the more familiar
1/(Ts + 1) with T = 1/w_{n}

Lead factors
(s + w_{n})/w_{n} are marked by cyan "o" and entered with ff check boxes.

Quadratic Lag factors
w_{n}^{2}/
(s^{2} + 2 zw_{n}s + w_{n}^{2}
) are marked by magenta "x" and entered with tt check boxes.

Quadratic Lead factors
(s^{2} + 2 zw_{n}s + w_{n}^{2}
)/w_{n}^{2} are marked by blue "o" and entered with ft check boxes.

w_{n} (1E-2 to 1E3) is set by the horizontal
coordinate of the mouse click and z by the
vertical coordinate(0 to 1).

Kain K is set by clicking on the horizontal magenta bar.

When the applet stops responding, the page must be reloaded to
restart.

Gif images below shows how applets should appear.
Image above has lag factor at 0.1rad/s, quadratic lag factors at
10rad/s, z = 0.2, and 100rad/s, z = 0.9 and K = 25.0.
Image above has lag factors at 0.03 and 0.06rad/s,
quadratic lag factors at
100rad/s, z = 0.8, lead factor
at 0.4rad/s, quadratic lead factor at 10rad/s,
z = 0.2.

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COPYRIGHT © 2006 Cuthbert Nyack.