Characteristics: Triac - nptel
Characteristics: Triac - nptel
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 ∝