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AN-3008 RC Snubber Networks for Thyristor Power Control and ...

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<strong>AN</strong>-<strong>3008</strong><br />

APPLICATION NOTE<br />

TRIAC Design Procedure<br />

dV<br />

(<br />

dt<br />

) c<br />

dV<br />

1. Refer to Figure 18 <strong>and</strong> select a particular damping factor<br />

(ρ)giving a suitable trade-off between V PK <strong>and</strong> ------ .<br />

dt<br />

dV<br />

Determine the normalized ------ corresponding to the<br />

dt<br />

chosen damping factor.<br />

The volage E depends on the load phase angle:<br />

E 2 V RMS Sin (φ) where φ = tan – 1 X =<br />

⎛------<br />

L ⎞ where<br />

⎝R L<br />

⎠<br />

φ = measured phase angle between line V <strong>and</strong> load I<br />

R L = measured dc resistance of the load.<br />

dV<br />

( Safe Area Curve<br />

dt<br />

) c<br />

dV<br />

Figure 26 shows a MAC16 TRIAC turn-off safe operating<br />

area curve. Turn-off occurs without problem under the curve.<br />

The region is bounded by static ------ at low values of ⎛dI<br />

----⎞<br />

dt<br />

⎝dt⎠c<br />

<strong>and</strong> delay time at high currents. Reduction of the peak current<br />

permits operation at higher line frequency. This TRIAC<br />

operated at f = 400 Hz, T J = 125 °C, <strong>and</strong> I TM = 6.0 amperes<br />

using a 30 ohm <strong>and</strong> 0.068 µF snubber. Low damping factors<br />

extend operation to higher ⎛dI<br />

----⎞<br />

⎝<br />

, but capacitor sizes<br />

dt⎠c<br />

increase. The addition of a small, saturable commutation<br />

inductor extends the allowed current rate by introducing<br />

recovery delay time.<br />

Then<br />

V RMS 2 2<br />

Z -------------- R<br />

I L + X L X L Z 2 2<br />

= = – R L <strong>and</strong><br />

RMS<br />

X<br />

L = --------------------- L<br />

2 π f Line<br />

If only the load current is known, assume a pure<br />

inductance. This gives a conservative design. Then:<br />

V RMS<br />

L = --------------------------------------- where E = 2 V<br />

2 π f LINE I RMS<br />

RMS<br />

For Example:<br />

120<br />

E = 2 120 = 170 V; L = ----------------------------------- = 39.8 mH<br />

( 8 A) ( 377 rps)<br />

(V/µs)<br />

100<br />

10<br />

c<br />

dV<br />

dt<br />

1<br />

0.1<br />

10<br />

dl<br />

dt<br />

-ITM = 15A<br />

c = 6 f ITM x 10-3 A/ms<br />

WITH COMMUTATION L<br />

14 18 22 26 30 34 38 42 46 50<br />

dV<br />

AMPERES/MILLISECOND<br />

dt c<br />

MAC 16-8, COMMUTATIONAL L = 33 TURNS #18,<br />

52000-1A TAPE WOUND CORE 3/4 INCH OD<br />

Read from the graph at ρ = 0.6, V PK = (1.25) 170 = 213V.<br />

dV<br />

Use 400V TRIAC. Read ------ = 1.0<br />

dt ( ρ = 0.6)<br />

2. Apply the resonance criterion:<br />

ω ⎛ 0 spec dV ------ ⎞ dV<br />

= ⁄ ⎛------ E⎞<br />

⎝ dt ⎠ ⎝ dt ( P)<br />

⎠<br />

510 × 6 V/S<br />

ω 0 = ---------------------------- =<br />

( 1) ( 170 V)<br />

29.4 × 10 3 rps<br />

1<br />

C = ------------- = 0.029 µF<br />

2<br />

ω 0 L<br />

3. Apply the damping criterion:<br />

R S 2ρ L 39.8 × 10 – 3<br />

= --- = 2( 0.6)<br />

C ------------------------------ 0.029 × 10 – 6 = 1400 ohms<br />

Static<br />

dl<br />

( ) c<br />

( ) c<br />

dV<br />

Figure 26.<br />

dt<br />

versus<br />

dt<br />

T J = 125 °C<br />

dV<br />

dt<br />

Design<br />

There is usually some inductance in the ac main <strong>and</strong> power<br />

wiring. The inductance may be more than 100 µH if there is<br />

a trans<strong>for</strong>mer in the circuit or nearly zero when a shunt<br />

power factor correction capacitor is present. Usually the line<br />

inductance is roughly several µH. The minimum inductance<br />

must be known or defined by adding a series inductor to<br />

insure reliable operation (Figure 27).<br />

One hundred µH is a suggested value <strong>for</strong> starting the design.<br />

Plug the assumed inductance into the equation <strong>for</strong> C. Larger<br />

values of inductance result in higher snubber resistance <strong>and</strong><br />

dI<br />

reduced ---- . For example:<br />

dt<br />

12 REV. 4.01 6/24/02

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