(Sample)3rd order Sallen-Key High-pass Filter Design Tool

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(Sample) 3rd order Sallen-Key High-pass Filter Design Tool - Result -

Calculated the Transfer Function for the 3rd order Sallen-Key High-pass filter, displayed on graphs, showing Bode diagram, Nyquist diagram, Impulse response and Step response.

3rd order Sallen-Key filter

Vi→

→Vo

(Sample)Transfer function:

G(s)=

s³

s³+3710.78431373s²+7087418.30065s+6808278867.1

R1 = 5.1kΩ
R2 = 24kΩ
R3 = 120kΩ
C1 = 0.1uF
C2 = 0.01uF
C3 = 0.01uF

Equivalent block diagram:

Vi(s)→

2πfc1

s+2πfc1

→

(2πfc2)²

s²+2ζ(2πfc2)s+(2πfc2)²

→Vo(s)

Cut-off frequency fc1, fc2 of equivalent block diagram:
    fc1 = 297.268553162[Hz]
    fc2 = 303.860592855[Hz]

Damping ratio ζ of equivalent block diagram:
    ζ = 0.482657376462

Pole(s)
    p = -146.660556558 +266.123920459i[Hz]
          |p|= 303.860592855[Hz]
    p = -297.268553162[Hz]
          |p|= 297.268553162[Hz]
    p = -146.660556558-266.123920459i[Hz]
          |p|= 303.860592855[Hz]

Zero(s)
    z = 0[Hz]
          |z|= 0[Hz]
    z = -0[Hz]
          |z|= 0[Hz]
    z = -0[Hz]
          |z|= 0[Hz]

Phase margin
    pm= NAN[deg] (f =0[Hz])

Oscillation frequency
    f = 266.123920459[Hz]

Overshoot (in absolute value)
    The 1st peak  g_pk = -0.32 (t =0.00088[sec])
    The 2nd peak  g_pk = 0.1 (t =0.0025[sec])
    The 3rd peak  g_pk = -0.017 (t =0.0045[sec])

Final value of the step response (on the condition that the system converged when t goes to infinity)
    g(∞) = 0

Frequency analysis

Transient analysis

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