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TRIAC Delay Angle and Power Dissipation

 

TRIAC Delay Angle and Power Dissipation

TRIAC’s delay angle (also called the firing angle α) controls power by “cutting” part of the AC sine wave before allowing current to flow.

In AC mains, the voltage waveform is sinusoidal:

v(t) = Vm sin(ωt)

A TRIAC stays OFF at the start of each half-cycle. After a delay angle α, it is triggered ON and conducts for the rest of that half-cycle.

Effect of Delay Angle

  • Small delay angle → more of the sine wave passes → more RMS voltage → more power
  • Large delay angle → less of the sine wave passes → lower RMS voltage → less power

The output waveform becomes a chopped sine wave.

Waveform Examples

  • α = 0° → full sine wave passes
  • α = 90° → first half of each half-cycle removed
  • α = 150° → only a small tail passes

Power Equation

For a resistive load:

P = Vrms² / R

Because phase control reduces RMS voltage, average power decreases.

RMS Voltage Formula

Vrms = Vm √[(1 / 2Ï€) (Ï€ − α + sin(2α)/2)]

Where:

  • Vm = peak AC voltage
  • α = firing angle in radians

Example

Suppose:

  • 230V AC heater
  • Resistive load

Delay angle = 0°

  • Full waveform applied
  • Vrms ≈ 230V
  • Maximum heating power

Delay angle = 90°

  • Only later half of waveform conducts
  • RMS voltage drops
  • Power becomes roughly 50%

Delay angle near 180°

  • Very little conduction
  • Tiny RMS voltage
  • Almost no power

TRIAC Internal Power Dissipation

The TRIAC itself also dissipates heat.

When ON, it has a voltage drop of about 1–2V:

Ptriac = Von × Irms

As firing angle increases:

  • Load power decreases
  • Load current decreases
  • TRIAC heating usually decreases

Side Effects of Phase Cutting

  • Harmonics
  • EMI / electrical noise
  • Poor power factor (especially with motors)

Applications

  • Lamp dimmers
  • Heater controllers
  • Fan regulators

These devices work by phase-cutting the AC waveform using a TRIAC.

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