Bode Plot

VISITORS: 22

Bode Plot is a graphical method used in control-system analysis to represent the frequency response of a system using two plots: the magnitude plot, which shows the gain (in decibels, dB) versus frequency, and the phase plot, which shows the phase angle (in degrees) versus frequency, both typically plotted against a logarithmic frequency scale. A Bode plot helps engineers evaluate system stability, bandwidth, resonant behavior, gain margin, phase margin, and frequency response, making it especially useful for analyzing and designing feedback control systems.

Interactive Bode Plot Simulation

Interactive Bode Plot Simulation

Explore how gain and pole locations affect the frequency response of a control system. The simulation displays both magnitude in dB and phase in degrees on a logarithmic frequency scale.

5.0
2.0 rad/s
20.0 rad/s
G(s) = 5 / [(1 + s/2)(1 + s/20)]
Magnitude Plot
● Magnitude response |G(jω)| ● 0 dB reference
Phase Plot
● Phase response ∠G(jω)
DC Gain 13.98 dB
Gain Crossover —
Phase at Crossover —
High-Frequency Phase −180°
How to experiment: Increase K and observe how the magnitude curve moves upward. Move the pole frequencies to see how the break frequencies change. The first pole introduces approximately −20 dB/decade of magnitude slope and up to −90° of phase shift. With two poles, the high-frequency magnitude slope approaches −40 dB/decade and the phase approaches −180°.