⚡ RESONANCE & HARMONICS — POWER SYSTEMS

Mechanical ↔ Electrical Analogy · Series RLC · Frequency Response · Harmonics
00:00:00 NORMAL 60fps
🔧 Mechanical System
1.0
100
2.0
10
Equation of Motion
m˙˙x + c˙x + kx = F(t)
ωn = sqrt(k/m) = 10.00 rad/s
fn = 1.59 Hz
zeta = c/(2sqrt(km)) = 0.100
Q = 1/(2z) = 5.00
Displacement x0.000 m
Kinetic Energy0.0000 J
Potential Energy0.0000 J
Damp Loss/s0.0000 J/s
Mech ↔ Electrical Analogy
MechanicalElectrical
Mass m↔Inductor L
Spring k↔Capacitor C
Damper c↔Resistor R
Force F↔Voltage V
Velocity ẋ↔Current i
Position x↔Charge q
Adjust controls to observe resonance behaviour.
2.00 Hz Signal
Harmonics
Speed 1.0x
Spring-Mass-Damper
x(t)
0.000 m
x-dot(t)
0.000 m/s
Amp Ratio
1.00x
Series RLC Circuit
i(t)
0.000 A
v_C(t)
0.000 V
EL+EC
0.000 J
Displacement x(t)
Current i(t)
Energy KE / PE
Mech |H(w)|
RLC |I(w)/V|
⚡ Electrical System
1.00
0.010
2.0
10
RLC Equations
L*i'' + R*i' + (1/C)*i = V'(t)
w0 = 1/sqrt(LC) = 10.00 rad/s
f0 = 1.59 Hz
alpha = R/(2L) = 1.000
Q = w0*L/R = 5.00
Current i(t)0.0000 A
Energy in L0.0000 J
Energy in C0.0000 J
Resistive Loss0.0000 W
Harmonic Spectrum
Damping State---
THD0.0%
ANSI 51 (OC)NORMAL
Harm. Resonance---
RLC circuit ready. Adjust L and C to change resonant frequency.