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RL Circuit and Ripple Reduction

 

RL Circuit and Ripple Reduction

RL Circuit and Ripple Reduction

RL Circuit Basics

For an RL series circuit:

V(t) = VR + VL = IR + L(dI/dt)

Impedance Approach (for Ripple)

For ripple frequency ฯ‰:

ZR = R
ZL = jฯ‰L
Z = R + jฯ‰L
|Z| = √(R² + (ฯ‰L)²)

Ripple Current

If ripple voltage is Vr:

Iripple = Vr / √(R² + (ฯ‰L)²)

Key Insight

1. Low Frequency Ripple

ฯ‰L ≪ R
Iripple ≈ Vr / R

Inductor has little effect.

2. High Frequency Ripple

ฯ‰L ≫ R
Iripple ≈ Vr / (ฯ‰L)

Strong ripple reduction.

Ripple Reduction Factor

Ripple Reduction = R / √(R² + (ฯ‰L)²)
  • Larger L → less ripple
  • Higher frequency → less ripple
  • Larger R → more ripple

Physical Meaning

  • Resistor affects both DC and ripple
  • Inductor resists only changing current

RL smooths current but wastes power in R

Time-Domain View

ฯ„ = L / R
  • Large ฯ„ → smoother output
  • Small ฯ„ → more ripple passes

Summary

  • RL reduces ripple using inductive reactance
  • Effectiveness depends on ฯ‰L / R
  • Works better at high frequency
  • Less efficient than LC filters
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