(Sample)RLC High-pass Filter Design Tool

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(Sample)RLC High-pass Filter Design Tool - Result -

Calculated the transfer function for the RLC High-pass filter, displayed on graphs, showing Bode diagram, Nyquist diagram, Impulse response and Step response.

RLC
Filter

Vin(s)→

→Vout(s)

(Sample) Transfer function:

G(s)=

s²

s²+2000000s+2E+14

Cut-off frequency
    fc = 2250790.79039[Hz]

Quality factor
    Q = 7.07106781187

Damping ratio
    ζ = 0.0707106781187

Pole(s)
    p = -159154.943092 +2245156.76206i[Hz]
          |p|= 2250790.79039[Hz]
    p = -159154.943092-2245156.76206i[Hz]
          |p|= 2250790.79039[Hz]

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

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

Oscillation frequency
    f = 2245156.76206[Hz]

Overshoot (in absolute value)
    The 1st peak  g_pk = -0.81 (t =2.1E-07[sec])
    The 2nd peak  g_pk = 0.65 (t =4.3E-07[sec])
    The 3rd peak  g_pk = -0.52 (t =6.6E-07[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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