OKAWA Electric Design

(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  gpk = -0.81 (t =2.1E-07[sec])
The 2nd peak  gpk = 0.65 (t =4.3E-07[sec])
The 3rd peak  gpk = -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

R=Ω L=H
C=F
p:pico, n:nano, u:micro, k:kilo, M:mega

Frequency analysis

Bode diagram
    Phase  Group delay
Nyquist diagram
Pole, zero
Phase margin
Oscillation analysis
Analysis on frequency range:
  f1=∼f2=[Hz] (optional)

Transient analysis

Step response
Impulse response
Overshoot
Final value of the step response
Analysis on time range:
  0∼[sec] (optional)


Frequency analysis






Transient analysis