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Characteristics: Triac - nptel

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vi.<br />

Inverter grade thyristors have ________________ turn off time compared to a converter<br />

grade thyristor.<br />

Answer: (i) positive, forward; (ii) delay, rise, spread; (iii) hot spots (iv) holding, turn off; (v)<br />

magnitude, rate of decrease (vi) faster<br />

2. With reference to Fig 4.10 find expressions for (i) turn on power loss and (ii) conduction<br />

power loss of the thyristor as a function of the firing angle ∝. Neglect turn on delay time and<br />

spread time and assume linear variation of voltage and current during turn on period. Also<br />

assume constant on state voltage V H across the thyristor.<br />

Answer: (i) For a firing angle ∝ the forward bias voltage across the thyristor just before turn on<br />

is<br />

V<br />

ON<br />

= 2V<br />

i<br />

Sin ∝ ; V<br />

i<br />

= RMS value of supply voltage.<br />

Current after the thyristor turns on for a resistive load is<br />

V<br />

V<br />

R<br />

I<br />

ON<br />

i<br />

ON<br />

= = 2 Sin<br />

R<br />

Neglecting delay and spread time and assuming linear variation of voltage and current during<br />

turn on<br />

∝<br />

V<br />

ak<br />

= 2 V t<br />

i<br />

Sin ∝<br />

⎛<br />

1 -<br />

⎞<br />

⎜ . where V<br />

H<br />

has been neglected.<br />

t ⎟<br />

⎝ ON ⎠<br />

2 V<br />

i<br />

Sin ∝ t<br />

i<br />

a<br />

=<br />

R t<br />

ON<br />

∴ Total switching energy loss<br />

2<br />

t ON 2Vi t<br />

2 ON<br />

E<br />

ON<br />

= v<br />

o<br />

ak<br />

i t t<br />

a<br />

dt = Sin<br />

⎛<br />

1 -<br />

⎞<br />

∫<br />

∝ dt<br />

R ∫ ⎜<br />

o t ⎟<br />

⎝ ON ⎠ tON<br />

2 2<br />

2Vi 2 t<br />

ON ⎛ 2 ⎞ Vi 2<br />

= Sin ∝ 1 - = Sin t<br />

R 2 ⎜<br />

∝<br />

3⎟<br />

⎝ ⎠ 3R<br />

E ON occurs once every cycle. If the supply frequency is f then average turn on power loss is<br />

given by.<br />

ON<br />

2<br />

Vi 2<br />

P<br />

ON<br />

= E<br />

ON<br />

f = Sin ∝ t<br />

ON<br />

f<br />

3R<br />

(ii) If the firing angle is ∝ the thyristor conducts for π-∝ angle. Instantaneous current through the<br />

device during this period is<br />

2 V<br />

i<br />

Sin ωt<br />

i<br />

a<br />

= R ∝

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