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Asymmetrical thyristor:
The thyristor in the figure has a holding current of 150 mA. When it was turned ON, R was at a low value. Now if R is progressively increased, at what value of R (in kΩ) will be the thyristor turn OFF? (Neglect the ON-state voltage drop)
Holding current is the minimum anode current to maintain the thyristor in the on-state.
The holding current implies that the thyristor will turn OFF if the current tends to fall below the value of 150 mA.
The highest value of R possible with the thyristor ON is
R=VI=300150×10−3=2kΩ
Conduction angle (α) = 90°
For rectangular wave,
The average current, Iavg=α360×I=90360I=I4
The rms value of current, Irms=α360×I=90360×I=I2
The SCR in the circuit is turned on at t = 0. The conduction time duration of the SCR is
Concept:
For the above circuit the waveform of the load current, capacitor voltage inductor voltage and SCR voltage are shown by respectively.
Calculation:
Resonant frequency for the above circuit is given by
ω0=1LC
Therefore, conduction time duration of the SCR is
t0=π1LC
t0=πLC
The current in the circuit should reach to the latching current during the firing pulse for the thyristor to switch ON.
The equation for current is,
i(t)=VR(1−e−RLt)
Given that R = 50 Ω, L = 0.5 H
At t = 50 μs,
i(t)=25050(1−e−100×50×10−6)
=5(1−e−5×10−3)
= 5 (1 – (1 – 5 × 10-3)) = 25 mA
The SCR shown in figure has a didt limit of 10 A/μs. It is to be operated from a 100 V dc supply with load resistance R = 50 Ω. What is the minimum value of load inductance L that will protect the SCR?
Rs=50 Ω
didt=10 A/μs
Vs=100 V
RL = 50 Ω
i(t)=VsR(1−e−RtL)
di(t)dt=VsR(RL)e−RtL
at t=0 , (didt)max=VsL
⇒L=Vs(didt)max=10010=10 μH
A voltage across SCR is 1 V when it is conducting. It has holding current, of 2 mA when gate current (IG) = 0. If the SCR is triggered on by momentary pulse of gate current, to what value must VA be reduced in order to turn the SCR off?
The figure is shown below.
Holding current (IH) = 2 mA
Voltage across SCR (VT) = 1 V
SCR will turn off when Ia ≤ holding current
⇒Ia≤2 mA
⇒2 mA=VA−VT45
⇒2×10−3=VA−145
⇒ VA = 1.09 V
In the circuit shown in figure. Find the maximum value of dvdt is __________ V/μs
Initially the inductor will be treated as open circuit and entire voltage appears across the inductor so the maximum value of rate of change of current
(didt)max=VsmaxL=2×22020×10−6=15.56A/μsec
If SCR is off then current flows through the resistor and capacitor
An SCR has half cycle surge current rating of 2400 A for 50 Hz supply. It’s one cycle surge current and I2t rating respectively are
Let I and Isb be the one – cycle and sub – cycle surge current ratings of the SCR respectively.
I2T=ISb2.t
t = 10 ms T = 20 ms
I2(20)=(2400)2(10)⇒I2=(2400)2(10)20⇒I=24002=12002=1697A
I2t rating
=I2×12f=(24002)2×1100=28,800Amp2.sec
The thyristor Th is triggered using the pulse transformer. The pulse transformer operates at 10 kHz with a duty cycle of 40%. The thyristor has a maximum average gate power dissipation limit of 0.5 watts and a maximum allowable gate voltage limit of 10 volts. Assuming ideal pulse transformer, the turns ratio N1/N2 is
From the gate drive circuit of the thyristor,
E = Rig + Vg
The diode D clamps the gate voltage to zero when E goes negative.
Now for ig = 0, Vg = E.
Since the maximum value of Vg = 10 V, E = 10 V
And E=N2N1×15=10
Now, the turns ratio N1N2=1510=1.5
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