Eda Unit I
Eda Unit I
                                                                                      VBE
Fig: NPN Transistor                                       Fig: Input Characteristic
IC
                                                                        IB1
                                                                        IB2     IB1>IB2>IB3
                                                                        IB3
VCE
SWITCHING CHARACTERISTICS
       An important application of transistor is in switching circuits. When transistor is used
as a switch it is operated either in cut-off state or in saturation state. When the transistor is
driven into the cut-off state it operates in the non-conducting state. When the transistor is
operated in saturation state it is in the conduction state.
         Thus the non-conduction state is operation in the cut-off region while the conducting
state is operation in the saturation region.
                                                                                               1
       Fig: Switching Transistor in CE Configuration
     As the base voltage VB rises from 0 to VB, the base current rises to IB, but the collector
current does not rise immediately.
     Collector current will begin to increase only when the base emitter junction is forward
biased and VBE > 0.6V. The collector current IC will gradually increase towards saturation
level IC sat  .
    The time required for the collector current to rise to 10% of its final value is called delay
time t d .
     The time taken by the collector current to rise from 10% to 90% of its final value is
called rise time t r . Turn on times is sum of t d and t r . ton  td  tr
The turn-on time depends on
             Transistor junction capacitances which prevent the transistors voltages from changing
              instantaneously.
             Time required for emitter current to diffuse across the base region into the collector
              region once the base emitter junction is forward biased. The turn on time ton ranges
              from 10 to 300 ns. Base current is normally more than the minimum required to
              saturate the transistor. As a result, excess minority carrier charge is stored in the base
              region.
       When the input voltage is reversed from VB1 to VB 2 the base current also abruptly
changes but the collector current remains constant for a short time interval t S called the
storage time.
       The reverse base current helps to discharge the minority charge carries in the base
region and to remove the excess stored charge form the base region.
        Once the excess stored charge is removed the baser region the base current begins to
fall towards zero.
              The fall-time t f is the time taken for the collector current to fall from 90% to 10% of
IC sat  .
The turn off time toff is the sum of storage time and the fall time. toff  ts  t f
                                                                                                      2
        VB1
IB2
           IC
                                                                IC(sat)
      0.9 IC
                                    tr
      0.1 IC
                                                                           t
                                                     ts    tf
                               td
           G                               N2
                                                                          MT2
                                            P2
      N3
                          P2
                                                N1
                N1
                                                P1                    G   MT1
                     P1
      N4
MT2
                                                                                                      3
The gate terminal G is near the MT1 terminal. Figure above shows the triac symbol. MT1 is
the reference terminal to obtain the characteristics of the triac. A triac can be operated in four
different modes depending upon the polarity of the voltage on the terminal MT2 with respect
to MT1 and based on the gate current polarity.
The characteristics of a triac is similar to that of an SCR, both in blocking and conducting
states. A SCR can conduct in only one direction whereas triac can conduct in both directions.
MT2 (+)
P1
                                                        N1
                                                        P2
                                               Ig
                                                              N2
                                                                   MT1 ()
                                   G
                                                    V
                                  (+)
                                         Ig
MT2 (+)
                                                        P1
                              Initial                                   Final
                                                        N1
                            conduction                               conduction
                                                        P2
                                              N3              N2
                                                                   MT1 ()
                                   G
                                                    V
Ig
                                                                                                 4
When MT2 is positive and gate G is negative with respect to MT1 the gate current flows
through P2-N3 junction as shown in figure above. The junction P1-N1 and P2-N3 are
forward biased but junction N1-P2 is reverse biased. Hence, the triac initially starts
conducting through P1N1P2N3 layers. As a result the potential of layer between P2-N3 rises
towards the potential of MT2. Thus, a potential gradient exists across the layer P2 with left
hand region at a higher potential than the right hand region. This results in a current flow in
P2 layer from left to right, forward biasing the P2N2 junction. Now the right hand portion P1-
N1 - P2-N2 starts conducting. The device operates in first quadrant. When compared to Mode
1, triac with MT2 positive and negative gate current is less sensitive and therefore requires
higher gate current for triggering.
MODE 3 : MT2 negative, Positive gate current               ( III  mode of operation)
When MT2 is negative and gate is positive with respect to MT1 junction P2N2 is forward
biased and junction P1-N1 is reverse biased. N2 layer injects electrons into P2 layer as shown
by arrows in figure below. This causes an increase in current flow through junction P 2-N1.
Resulting in breakdown of reverse biased junction N1-P1. Now the device conducts through
layers P2N1P1N4 and the current starts increasing, which is limited by an external load.
                                              MT 2 ()
N4
                                         P1
                                         N1
                                         P2
                                                           N2
                                   G                       MT1 (+)
                                  (+)
Ig
       The device operates in third quadrant in this mode. Triac in this mode is less sensitive
and requires higher gate current for triggering.
MODE 4 : MT2 negative, Negative gate current ( III  mode of operation)
                                              MT 2 ()
N4
                                                 P1
                                                 N1
                                                 P2
                                        N3
                                   G                       MT1 (+)
                                  (+)
Ig
                                                                                             5
     In this mode both MT2 and gate G are negative with respect to MT1, the gate current
flows through P2N3 junction as shown in figure above. Layer N3 injects electrons as shown
by arrows into P2 layer. This results in increase in current flow across P1N1 and the device
will turn ON due to increased current in layer N1. The current flows through layers
P2N1P1N4. Triac is more sensitive in this mode compared to turn ON with positive gate
current. (Mode 3).
       Triac sensitivity is greatest in the first quadrant when turned ON with positive gate
current and also in third quadrant when turned ON with negative gate current. when MT2 is
positive with respect to MT1 it is recommended to turn on the triac by a positive gate current.
When MT2 is negative with respect to MT1 it is recommended to turn on the triac by negative
gate current. Therefore Mode 1 and Mode 4 are the preferred modes of operation of a triac
( I  mode and III  mode of operation are normally used).
TRIAC CHARACTERISTICS
     Figure below shows the circuit to obtain the characteristics of a triac. To obtain the
characteristics in the third quadrant the supply to gate and between MT2 and MT1 are
reversed.
                                                         RL                     I
                                                                          -       +
                                                                                A
                                           MT2
                         Rg                                  +                                 +
                              +       -G
                                  A              MT1     V                            Vs
                                                             -
                     +                                                                         -
               Vgg
                     -
            MT2()
             G()
                                                                                                   6
CONSTRUCTION & OPERATION OF POWER MOSFET
        Power MOSFET is a metal oxide semiconductor field effect transistor. It is a voltage
controlled device requiring a small input gate voltage. It has high input impedance. MOSFET
is operated in two states viz., ON STATE and OFF STATE. Switching speed of MOSFET is
very high. Switching time is of the order of nanoseconds.
       MOSFETs are of two types
              Depletion MOSFETs
              Enhancement MOSFETs.
MOSFET is a three terminal device. The three terminals are gate (G), drain (D) and source
(S).
DEPLETION MOSFET
   Depletion type MOSFET can be either a n-channel or p-channel depletion type
MOSFET.
       A depletion type n-channel MOSFET consists of a p-type silicon substrate with two
highly doped n+ silicon for low resistance connections. A n-channel is diffused between drain
and source. Figure below shows a n-channel depletion type MOSFET. Gate is isolated from
the channel by a thin silicon dioxide layer.
                                                     Metal
                           +
                D        n                                                    D
                                 p-type
                G         n     substrate                        G
                S        n
                           +                                                  S
                                    Channel
               Oxide
                          Structure                              Symbol
                          Fig. : n-channel depletion type MOSFET
Gate to source voltage (VGS) can be either positive or negative. If VGS is negative, electrons
present in the n-channel are repelled leaving positive ions. This creates a depletion.
                           +
                                                     Metal
                D        p
                                                                              D
                                 n-type
                G         p     substrate                        G
                S        p
                           +                                                  S
                                    Channel
               Oxide
                               Structure                             Symbol
                          Fig. : P-channel depletion type MOSFET
Figure above shows a p-channel depletion type MOSFET. A P-channel depletion type
MOSFET consists of a n-type substrate into which highly doped p-regions and a P-channel
                                                                                            7
are diffused. The two P+ regions act as drain and source P-channel operation is same except
that the polarities of voltages are opposite to that of n-channel.
ENHANCEMENT MOSFET
Enhancement type MOSFET has no physical channel. Enhancement type MOSFET can be
either a n-channel or p-channel enhancement type MOSFET.
                                                      Metal
                          +
              D          n                                                        D
                                   p-type
              G
                                  substrate                       G
              S          n
                          +                                                   S
              Oxide
                              Structure                           Symbol
                        Fig. : n-channel enhancement type MOSFET
Figure above shows a n-channel enhancement type MOSFET. The P-substrate extends upto
the silicon dioxide layer. The two highly doped n regions act as drain and source.
When gate is positive (VGS) free electrons are attracted from P-substrate and they collect
near the oxide layer. When gate to source voltage, VGS becomes greater than or equal to a
value called threshold voltage (VT). Sufficient numbers of electrons are accumulated to form
a virtual n-channel and current flows from drain to source.
Figure below shows a p-channel enhancement type of MOSFET. The n-substrate extends
upto the silicon dioxide layer. The two highly doped P regions act as drain and source. For p-
channel the polarities of voltages are opposite to that of n-channel.
                              +
                                                     Metal
               D         p
                                                                              D
                                   n-type
               G
                                  substrate                      G
                S        p
                              +                                               S
               Oxide
                                  Structure                          Symbol
                       Fig. : P-channel enhancement type MOSFET.
VI CHARACTERISTICS OF MOSFET
Depletion MOSFET
Figure below shows n-channel depletion type MOSFET with gate positive with respect to
source. I D , VDS and VGS are drain current, drain source voltage and gate-source voltage. A
plot of variation of I D with VDS for a given value of VGS gives the Drain characteristics or
Output characteristics.
                                                                                            8
                                                   D             ID
                                    G
                                                           VDS
                            +                                                +
                      VGS                          S
                                                                            
ID VGS2
VGS1
VDS
IDSS
ID
VGS(OFF) VGS
                                                                                              9
Enhancement MOSFET
D ID
                                  G
                                                          VDS
                           +                                                    +
                     VGS                          S
                                                                               
ID
VT VGS
ID VGS2
VGS1
VDS
                                                                                           10
SWITCHING CHARACTERISTICS OF MOSFET
 Power MOSFETs are often used as switching devices. The switching characteristic of a
power MOSFET depends on the capacitances between gate to source CGS , gate to drain CGD
and drain to source CGS . It also depends on the impedance of the gate drive circuit. During
turn-on there is a turn-on delay td on , which is the time required for the input capacitance CGS
to charge to threshold voltage level VT . During the rise time t r , CGS charges to full gate
voltage VGSP and the device operate in the linear region (ON state). During rise time t r drain
current I D rises from zero to full on state current I D .
MOSFET can be turned off by discharging capacitance CGS . td  off  is the turn-off delay time
required for input capacitance CGS to discharge from V1 to VGSP . Fall time t f is the time
required for input capacitance to discharge from VGSP to threshold voltage VT . During fall
time t f drain current falls from I D to zero. Figure below shows the switching waveforms of
power MOSFET.
VG
V1
                V1
               VGSP
                  VT
                                        tr
                               td(on)                 td(off) tf
                                                                                                11
CONSTRUCTION, OPERATION & STATIC CHARACTERISTICS OF INSULATED
GATE BIPOLAR TRANSISTOR (IGBT)
    IGBT is a voltage controlled device. It has high input impedance like a MOSFET and
low on-state conduction losses like a BJT.
       Figure below shows the basic silicon cross-section of an IGBT. Its construction is
same as power MOSFET except that n+ layer at the drain in a power MOSFET is replaced by
P+ substrate called collector.
                                           Collector
                                                                                        C
                                    p
                                     
                                    n Bufferlayer
                                     
                                    n epi                                   G
                                      p
                                              
                               n               n                                         E
               Gate                                               Gate
                                           Emitter
                               Structure                                        Symbol
                            Fig.: Insulated Gate Bipolar Transistor
IGBT has three terminals gate (G), collector (C) and emitter (E). With collector and gate
voltage positive with respect to emitter the device is in forward blocking mode. When gate to
emitter voltage becomes greater than the threshold voltage of IGBT, a n-channel is formed in
the P-region. Now device is in forward conducting state. In this state p  substrate injects
holes into the epitaxial n layer. Increase in collector to emitter voltage will result in increase
of injected hole concentration and finally a forward current is established.
CHARACTERISTIC OF IGBT
    Figure below shows circuit diagram to obtain the characteristic of an IGBT. An output
characteristic is a plot of collector current IC versus collector to emitter voltage VCE for
given values of gate to emitter voltage VGE .
                                                                     IC
                                                             RC
                                     RS            G                      VCC
                                                                   VCE
                          VG             RGE           VGE
                                                              E
                                                                                                12
                 IC
                                              VGE4
                                              VGE3      VGE4>VGE3>VGE2>VGE1
                                              VGE2
                                              VGE1
                                                            VCE
                                 Fig. : Output Characteristics
 A plot of collector current IC versus gate-emitter voltage VGE for a given value of VCE gives
the transfer characteristic. Figure below shows the transfer characteristic.
Note
Controlling parameter is the gate-emitter voltage VGE in IGBT. If VGE is less than the
threshold voltage VT then IGBT is in OFF state. If VGE is greater than the threshold voltage
VT then the IGBT is in ON state.
IGBTs are used in medium power applications such as ac and dc motor drives, power
supplies and solid state relays.
                            IC
                                                                 VGE
                                    VT
                                 Fig. : Transfer Characteristic
                                                                                           13
                                                            VGE
VGET
                                                                               t
                                 tr                            tf
                        td(on)               td(off)
                 VCE
                                                                           t(on) = td(on)+tr
             0.9 VCE                                                       t(off) = td(off)+tf
             0.1 VCE
                                                                               t
                  IC
              0.9 ICE
              0.1 ICE
                                                                               t
                                                       td(off) tf
IGBT APPLICATIONS
Medium power applications like DC and AC motor drives, medium power supplies, solid
state relays and contractors, general purpose inverters, UPS, welder equipments, servo
controls, robotics, cutting tools, induction heating
Voltage rating = 1400V. Current rating = 600A. Maximum operating frequency = 20KHz.
Switching time  2.3 s  tON  tOFF  . ON state resistance = 600m = 60 x103  .
                                                                                                   14
POWER MOSFET RATINGS
Voltage rating = 500V. Current rating = 50A. Maximum operating frequency = 100KHz.
Switching time  0.6 s to 1 s  tON  tOFF  . ON state resistance RDON  = 0.4m to 0.6m .
                    +
                    n    10
                           19    -3
                                cm
                                                                                  +
                                                                                  n
                                                                                       19
                                                                                      10    cm
                                                                                              -3
                                                                                                      10m
                                                                                                   
          J3                         -           17           -3
                                     p         10        cm                                            30-100m
                                                                                                   
          J2
                                         –
                                     n         10
                                                 13
                                                         -5 x 10
                                                                   14
                                                                        cm
                                                                             -3                        50-1000m
               J1
                                     p
                                     +
                                               10
                                                 17
                                                         cm
                                                            -3
                                                                                                      30-50m
                                                    19        -3
                                     p         10        cm
Anode
                                                                                                                   15
       When the anode is made positive with respect the cathode junctions J1 & J 3 are
forward biased and junction J 2 is reverse biased. With anode to cathode voltage VAK being
small, only leakage current flows through the device. The SCR is then said to be in the
forward blocking state. If VAK is further increased to a large value, the reverse biased junction
J 2 will breakdown due to avalanche effect resulting in a large current through the device.
The voltage at which this phenomenon occurs is called the forward breakdown voltage VBO .
Since the other junctions J1 & J 3 are already forward biased, there will be free movement of
carriers across all three junctions resulting in a large forward anode current. Once the SCR is
switched on, the voltage drop across it is very small, typically 1 to 1.5V. The anode current is
limited only by the external impedance present in the circuit.
Although an SCR can be turned on by increasing the forward voltage beyond VBO , in
practice, the forward voltage is maintained well below VBO and the SCR is turned on by
applying a positive voltage between gate and cathode. With the application of positive gate
voltage, the leakage current through the junction J 2 is increased. This is because the resulting
gate current consists mainly of electron flow from cathode to gate. Since the bottom end layer
is heavily doped as compared to the p-layer, due to the applied voltage, some of these
electrons reach junction J 2 and add to the minority carrier concentration in the p-layer. This
raises the reverse leakage current and results in breakdown of junction J 2 even though the
applied forward voltage is less than the breakdown voltage VBO . With increase in gate current
breakdown occurs earlier.
V-I CHARACTERISTICS OF THYRISTOR
                                                                                              16
A typical V-I characteristics of a thyristor is shown above. In the reverse direction the
thyristor appears similar to a reverse biased diode which conducts very little current until
avalanche breakdown occurs. In the forward direction the thyristor has two stable states or
modes of operation that are connected together by an unstable mode that appears as a
negative resistance on the V-I characteristics. The low current high voltage region is the
forward blocking state or the off state and the low voltage high current mode is the on state.
For the forward blocking state the quantity of interest is the forward blocking voltage VBO
which is defined for zero gate current. If a positive gate current is applied to a thyristor then
the transition or break over to the on state will occur at smaller values of anode to cathode
voltage as shown. Although not indicated the gate current does not have to be a dc current but
instead can be a pulse of current having some minimum time duration. This ability to switch
the thyristor by means of a current pulse is the reason for wide spread applications of the
device.
However once the thyristor is in the on state the gate cannot be used to turn the device off.
The only way to turn off the thyristor is for the external circuit to force the current through
the device to be less than the holding current for a minimum specified time period.
HOLDING CURRENT I H
After an SCR has been switched to the on state a certain minimum value of anode current is
required to maintain the thyristor in this low impedance state. If the anode current is reduced
below the critical holding current value, the thyristor cannot maintain the current through it
and reverts to its off state usually I  is associated with turn off the device.
LATCHING CURRENT I L
After the SCR has switched on, there is a minimum current required to sustain conduction.
This current is called the latching current. I L associated with turn on and is usually greater
than holding current.
SWITCHING CHARACTERISTICS (DYNAMIC CHARACTERISTICS) OF SCR
THYRISTOR TURN-ON CHARACTERISTICS
When the SCR is turned on with the application of the gate signal, the SCR does not conduct
fully at the instant of application of the gate trigger pulse. In the beginning, there is no
appreciable increase in the SCR anode current, which is because, only a small portion of the
silicon pellet in the immediate vicinity of the gate electrode starts conducting. The duration
between 90% of the peak gate trigger pulse and the instant the forward voltage has fallen to
90% of its initial value is called the gate controlled / trigger delay time t gd . It is also defined
                                                                                                  17
as the duration between 90% of the gate trigger pulse and the instant at which the anode
current rises to 10% of its peak value. t gd is usually in the range of 1sec.
Once t gd has lapsed, the current starts rising towards the peak value. The period during which
the anode current rises from 10% to 90% of its peak value is called the rise time. It is also
defined as the time for which the anode voltage falls from 90% to 10% of its peak value. The
summation of t gd and t r gives the turn on time ton of the thyristor.
     VAK
                                                   tC
                                                  tq
      IA
                                                              di
                                    Commutation
           Anode current                                      dt
           begins to
           decrease                   Recovery                    Recombination
t1 t2 t3 t4 t5
When an SCR is turned on by the gate signal, the gate loses control over the device and the
device can be brought back to the blocking state only by reducing the forward current to a
level below that of the holding current. In AC circuits, however, the current goes through a
                                                                                            18
natural zero value and the device will automatically switch off. But in DC circuits, where no
neutral zero value of current exists, the forward current is reduced by applying a reverse
voltage across anode and cathode and thus forcing the current through the SCR to zero.
As in the case of diodes, the SCR has a reverse recovery time trr which is due to charge
storage in the junctions of the SCR. These excess carriers take some time for recombination
resulting in the gate recovery time or reverse recombination time t gr . Thus, the turn-off time
t q is the sum of the durations for which reverse recovery current flows after the application of
reverse voltage and the time required for the recombination of all excess carriers present. At
the end of the turn off time, a depletion layer develops across J 2 and the junction can now
withstand the forward voltage. The turn off time is dependent on the anode current, the
magnitude of reverse Vg applied ad the magnitude and rate of application of the forward
voltage. The turn off time for converte grade SCR’s is 50 to 100sec and that for inverter
grade SCR’s is 10 to 20sec.
To ensure that SCR has successfully turned off , it is required that the circuit off time t c be
greater than SCR turn off time t q .
THYRISTOR TURN ON
       Thermal Turn on: If the temperature of the thyristor is high, there will be an increase
        in charge carriers which would increase the leakage current. This would cause an
        increase in 1 &  2 and the thyristor may turn on. This type of turn on many cause
        thermal run away and is usually avoided.
       Light: If light be allowed to fall on the junctions of a thyristor, charge carrier
        concentration would increase which may turn on the SCR.
       LASCR: Light activated SCRs are turned on by allowing light to strike the silicon
        wafer.
       High Voltage Triggering: This is triggering without application of gate voltage with
        only application of a large voltage across the anode-cathode such that it is greater than
        the forward breakdown voltage VBO . This type of turn on is destructive and should be
        avoided.
       Gate Triggering: Gate triggering is the method practically employed to turn-on the
        thyristor. Gate triggering will be discussed in detail later.
         dv
            Triggering: Under transient conditions, the capacitances of the p-n junction will
         dt
        influence the characteristics of a thyristor. If the thyristor is in the blocking state, a
        rapidly rising voltage applied across the device would cause a high current to flow
        through the device resulting in turn-on. If i j2 is the current throught the junction j2 and
        C j2 is the junction capacitance and V j2 is the voltage across j2 , then
                                        
                         dq2 d          C j dVJ 2        dC j2
                ij 2          C j Vj  2         V j2
                          dt dt    2  2
                                            dt            dt
                                                                                                 19
                                R-triggering.
                                RC triggering.
                                UJT triggering.
RESISTANCE TRIGGERING
A simple resistance triggering circuit is as shown. The resistor R1 limits the current through
the gate of the SCR. R2 is the variable resistance added to the circuit to achieve control over
the triggering angle of SCR. Resistor ‘R’ is a stabilizing resistor. The diode D is required to
ensure that no negative voltage reaches the gate of the SCR.
                                                  vO
                                                                      a                        b
                                              LOAD
i R1
                                                                               R2
                                            vS=Vmsint
                                                                               D                     VT
R Vg
VS                                           VS                                                     VS
            Vmsint
                            3    4                                                3    4                                3   4
                2                    t                           2                        t                 2                 t
Vg    Vgt                                    Vg                                                     Vg        Vgp>Vgt
                                                                    Vgp=Vgt
                                       t                                      0               t                                     t
                                                                      270
VT                                           VT                                                     VT
                                                                                    3    4
                                       t                           2                        t                                     t
                                                                          0                                            0
                                                            0       =90                                         <90
                                                       90
                                                                                                                                           20
                     Fig.: Resistance firing of an SCR in half wave circuit with dc load
Also with R2  0 , we need to ensure that the voltage drop across resistor ‘R’ does not exceed
Vgm , the maximum gate voltage
                                                              Vm R
                                                     Vgm 
                                                             R1  R
                                                    Vgm R1  Vgm R  Vm R
                                                    Vgm R1  R Vm  Vgm 
                                                             Vgm R1
                                                     R
                                                          Vm  Vgm
OPERATION
Case 1: Vgp  Vgt
Vgp , the peak gate voltage is less then Vgt since R2 is very large. Therefore, current ‘I’ flowing
through the gate is very small. SCR will not turn on and therefore the load voltage is zero and
vscr is equal to Vs . This is because we are using only a resistive network. Therefore, output
will be in phase with input.
Case 2: Vgp  Vgt , R2  optimum value.
When R2 is set to an optimum value such that Vgp  Vgt , we see that the SCR is triggered at
900 (since Vgp reaches its peak at 900 only). The waveforms shows that the load voltage is
zero till 900 and the voltage across the SCR is the same as input voltage till it is triggered at
900 .
Case 3: Vgp  Vgt , R2  small value.
The triggering value Vgt is reached much earlier than 900 . Hence the SCR turns on earlier
than VS reaches its peak value. The waveforms as shown with respect to Vs  Vm sin  t .
                            Vgt 
                 sin 1 
                            V 
Therefore
                            gp 
                          Vm R
But            Vgp 
                       R1  R2  R
                                                                                                 21
                                Vgt  R1  R2  R  
Therefore         sin 1                          
                                       Vm R         
Since Vgt , R1 , R are constants  R2
vO
                                        LOAD
                                                                                                     +
                                                                  R
                                                                               D2                           VT
                                                                                                     -
                               vS=Vmsint
                                                                                   D1
                                                         VC           C
             -/2 0                                                -/2 0
                                               0            t                                       0             t
                                                    vc                                                      vc
                          vc                                                        vc
                      a                        a                               a                        a
                 vo                                                     vo
                                                                                   Vm                       Vm
                                                                           0
                                                       t                                                    t
                 vT                                                       vT
                          Vm
                                                                         0                                      t
                                     -Vm                   t                                       
                                                                                              -Vm
                                                                                                        (2+)
(a) (b)
                                                                                                                         22
When the resistor ‘R’ is large, the time taken for the capacitance to charge from Vm to Vgt is
large, resulting in larger firing angle and lower load voltage.
Case 2: R  Small
When ‘R’ is set to a smaller value, the capacitor charges at a faster rate towards Vgt resulting
in early triggering of SCR and hence VL is more. When the SCR triggers, the voltage drop
across it falls to 1 – 1.5V. This in turn lowers, the voltage across R & C. Low voltage across
the SCR during conduction period keeps the capacitor discharge during the positive half
cycle.
DESIGN EQUATION
From the circuit VC  Vgt  Vd 1 . Considering the source voltage and the gate circuit, we can
write vs  I gt R  VC . SCR fires when vs  I gt R  VC that is vS  I g R  Vgt  Vd 1 . Therefore
     vs  Vgt  Vd 1
R                     . The RC time constant for zero output voltage that is maximum firing angle
           I gt
                                                       T 
for power frequencies is empirically gives as RC  1.3   .
                                                       2
RC FULL WAVE
A simple circuit giving full wave output is shown in figure below. In this circuit the initial
voltage from which the capacitor ‘C’ charges is essentially zero. The capacitor ‘C’ is reset to
this voltage by the clamping action of the thyristor gate. For this reason the charging time
constant RC must be chosen longer than for half wave RC circuit in order to delay the
                                                        50T             v V
triggering. The RC value is empirically chosen as RC        . Also R  s gt .
                                                          2               I gt
                                                             vO
                                                             LOAD
                                                  +
                                                                                  +
                                       D1              D3                 R
                                                                                      VT
vd -
                                                                              C
                  vS=Vmsint
                                      D4               D2
                                                   -
                                                                                                 23
 vs                Vmsint                                      vs                Vmsint
t t
                  vd
 vd                                                             vd
             vc            vc        vgt vc          t                              vgt                        t
 vo                                                             vo
                                         
                                                                      
                                                     t                                                         t
vT                                                              vT
                                                      t
                           (a)                                                            (b)
                                    Fig: Wave-forms for RC full-wave trigger circuit
                   (a) High value of R                                        (b) Low value of R
PROBLEM
      1. Design a suitable RC triggering circuit for a thyristorised network operation on a
         220V, 50Hz supply. The specifications of SCR are Vgt min  5V , I gt max  30mA .
                                     vs  Vgt  VD
                                R                    7143.3
                                               Ig
         Therefore          RC  0.013
                            R  7.143k 
                            C  1.8199 F
UNI-JUNCTION TRANSISTOR (UJT)
                           B2                                                        B2
           Eta-point                                                                                  +
                                                           B2
                                     RB2
                                                                      Eta-point
                                                                                         RB2
             p-type
                                                                 E
              E                 A                                                         A               VBB
                                               E                     +
                                     RB1
              n-type                                                                     RB1
                                                                     Ve     Ie                 VBB
                                                                      -                               -
                           B1                              B1                       B1
                        (a)                           (b)                           (c)
Fig.: (a) Basic structure of UJT      (b) Symbolic representation         (c) Equivalent circuit
UJT is an n-type silicon bar in which p-type emitter is embedded. It has three terminals
base1, base2 and emitter ‘E’. Between B1 and B2 UJT behaves like ordinary resistor and the
                                                                                                                     24
internal resistances are given as RB1 and RB 2 with emitter open RB B  RB1  RB 2 . Usually the
p-region is heavily doped and n-region is lightly doped. The equivalent circuit of UJT is as
shown. When VBB is applied across B1 and B2 , we find that potential at A is
 is intrinsic stand off ratio of UJT and ranges between 0.51 and 0.82. Resistor RB 2 is
between 5 to 10K.
OPERATION
When voltage VBB is applied between emitter ‘E’ with base 1 B1 as reference and the emitter
voltage VE is less than VD  VBE  the UJT does not conduct. VD  VBB  is designated as VP
which is the value of voltage required to turn on the UJT. Once VE is equal to
VP  VBE  VD , then UJT is forward biased and it conducts.
The peak point is the point at which peak current I P flows and the peak voltage VP is across
the UJT. After peak point the current increases but voltage across device drops, this is due to
the fact that emitter starts to inject holes into the lower doped n-region. Since p-region is
heavily doped compared to n-region. Also holes have a longer life time, therefore number of
carriers in the base region increases rapidly. Thus potential at ‘A’ falls but current I E
increases rapidly. RB1 acts as a decreasing resistance.
The negative resistance region of UJT is between peak point and valley point. After valley
point, the device acts as a normal diode since the base region is saturated and RB1 does not
decrease again.
                                      Negative Resistance
                                            Region
                                 V
                          Cutoff e                             Saturation
                          region                                 region
                             VBB
                                             R load line
                                Vp
                                             Peak Point
Valley Point
Vv
0 Ip Iv Ie
                                                                                             25
GATE TURN-OFF THYRISTORS
A gate-turn-off thyristor (GTO) like an SCR can be turned on by applying a positive gate
signal. However, it can be turned off by a negative gate signal. A GTO is a latching device
and can be built with current and voltage ratings similar to those of an SCR. A GTO is turned
on by applying a short positive pulse and turned off by a short negative pulse to its gate. The
GTOs have advantages over SCRs.
Elimination of commutating components in forced commutation, resulting in reduction in
cost, weight, and volume.
Reduction in acoustic and electro-magnetic noise due to the elimination of commutation
chokes.
Faster turn-off permitting high switching frequencies and
Improved efficiency of converters.
In low power applications GTOs have the following advantages over bipolar transistors.
A higher blocking voltage capability.
A high ratio of peak controllable current to average current.
A high ratio of surge peak current to average current, typically 10:1.
A high on-state gain (anode current/gate current), typically 600; and
A pulsed gate signal of short duration.
Under surge conditions, a GTO goes into deeper saturation due to regenerative action. On the
other hand, a bipolar transistor tends to come out of saturation.
A GTO has low gain during turn-off, typically 6, and requires a relatively high negative
current pulse to turn off. It has higher on-state voltage than that of SCRs. The on-state voltage
of typical 550A, 1200V GTO is typically 3.4V.
Controllable peak on-state current ITGQ is the peak value of on-state current which can be
turned off by gate control. The off state voltage is reapplied immediately after turn-off and
the reapplied dv dt is only limited by the snubber capacitance. Once a GTO is turned off, the
                                                                                              26
load current I L , which is diverted through and charges the snubber capacitor, determines the
reapplied dv dt .
                                             dv I L
                                               
                                             dt Cs
                                                                                                27
THYRISTOR COMMUTATION TECHNIQUES
        In practice it becomes necessary to turn off a conducting thyristor. (Often thyristors
are used as switches to turn on and off power to the load).
        The process of turning off a conducting thyristor is called commutation. The principle
involved is that either the anode should be made negative with respect to cathode (voltage
commutation) or the anode current should be reduced below the holding current value
(current commutation).
        The reverse voltage must be maintained for a time at least equal to the turn-off time of
SCR otherwise a reapplication of a positive voltage will cause the thyristor to conduct even
without a gate signal.
        On similar lines the anode current should be held at a value less than the holding
current at least for a time equal to turn-off time otherwise the SCR will start conducting if the
current in the circuit increases beyond the holding current level even without a gate signal.
Commutation circuits have been developed to hasten the turn-off process of Thyristors. The
study of commutation techniques helps in understanding the transient phenomena under
switching conditions.
        The reverse voltage or the small anode current condition must be maintained for a
time at least equal to the TURN OFF time of SCR; Otherwise the SCR may again start
conducting. The techniques to turn off a SCR can be broadly classified as
     Natural Commutation
 Forced Commutation.
vs ~  R  vo
                                                                                              28
  Fig. 1.2: Natural Commutation – Waveforms of Supply and Load Voltages (Resistive
                                         Load)
         This type of commutation is applied in ac voltage controllers, phase controlled
rectifiers and cyclo converters.
FORCED COMMUTATION
         When supply is DC, natural commutation is not possible because the polarity of the
supply remains unchanged. Hence special methods must be used to reduce the SCR current
below the holding value or to apply a negative voltage across the SCR for a time interval
greater than the turn off time of the SCR. This technique is called FORCED
COMMUTATION and is applied in all circuits where the supply voltage is DC - namely,
Choppers (fixed DC to variable DC), inverters (DC to AC). Forced commutation techniques
are as follows:
     Self Commutation
 Complementary Commutation
 Impulse Commutation
                                                                                             29
capacitor in series with the load and keeping the circuit under-damped. Figure 1.3 shows the
circuit.
         This type of commutation is used in Series Inverter Circuit.
                                   T                          L         Vc(0)
                                          i    R                        + -
                                              Load                          C
                                                                                t
                         0          /2        
                     2V
                                                    Capacitor voltage
                     V
                                                                                t
Gate pulse
t
t
                     V
                                                          Voltage across SCR
   Fig. 1.5: Self Commutation – Wave forms of Current and Capacitors Voltage
RESONANT PULSE COMMUTATION (CLASS B COMMUTATION)
     The circuit for resonant pulse commutation is shown in figure 1.12.
                                                                        L
                                                T
                                                                    i
                                                               a
                                                               b        C
                                                     IL
                             V
                                                       Load
                                       FWD
                                                                                          30
short circuits the LC combination which starts oscillating. A current ‘i’ starts flowing in the
direction shown in figure. As ‘i’ reaches its maximum value, the capacitor voltage reduces to
zero and then the polarity of the capacitor voltage reverses ‘b’ becomes positive). When ‘i’
falls to zero this reverse voltage becomes maximum, and then direction of ‘i’ reverses i.e.,
through SCR the load current I L and ‘i’ flow in opposite direction. When the instantaneous
value of ‘i’ becomes equal to I L , the SCR current becomes zero and the SCR turns off. Now
the capacitor starts charging and its voltage reaches the supply voltage with plate a being
positive.
                                    Gate pulse
                                     of SCR
                                                                                          t
                               t1       
                               V
                                               Capacitor voltage
                                                      vab
                                                                                          t
                                                                    tC
                         Ip                                i
                                                                                          t
                                                           
                         IL                                
                                                               t
         ISCR
                               Voltage across
                                    SCR
                                                                                          t
                             1            C
                vc  t        VC  0    sin  t.dt .
                             C            L
vc  t   VC  0  cos  t
                                                                                                      31
                                              T1       iC(t)                   IL
                                     C         L       iC(t)   T2
                                    ab
                                   +
                                  VC(0)                                               L
          V                                   T3                                      O
                                                                                      A
                                                                    FWD               D
                                                                                                 32
                                               Current iC(t)
              V
                                                    Capacitor
                                                    voltage vab
                                                                           t
                           t1
V1
                                tC
            VC(0)
                                     T1                               IL
                            C         L       iC(t)        T2
                          -   +
                          VC(0)
                                                                               L
                                     T3                                        O
        V                                                                      A
                                                                FWD            D
Fig. 1.17(a)
                                                                                   33
                                  iC
                            IL
                             0                                                  t
                            VC
                             0                                                  t
                                       t1                    t2
                        V1
                      VC(O)                       tC
                                      Fig. 1.17(b)
        A diode D2 is connected as shown in the figure 1.17(a) to accelerate the discharging
of the capacitor ‘C’. When thyristor T2 is fired a resonant current iC  t  flows through the
capacitor and thyristor T1 . At time t  t1 , the capacitor current iC  t  equals the load current I L
and hence current through T1 is reduced to zero resulting in turning off of T1 . Now the
capacitor current iC  t  continues to flow through the diode D2 until it reduces to load current
level I L at time t 2 . Thus the presence of D2 has accelerated the discharge of capacitor ‘C’.
Now the capacitor gets charged through the load and the charging current is constant. Once
capacitor is fully charged T2 turns off by itself. But once current of thyristor T1 reduces to
zero the reverse voltage appearing across T1 is the forward voltage drop of D2 which is very
small. This makes the thyristor recovery process very slow and it becomes necessary to
provide longer reverse bias time.
       From figure 1.17(b)
                         t2   LC  t1
                         VC  t2   VC O cos t2
        Circuit turn-off time tC  t2  t1
COMPLEMENTARY COMMUTATION (CLASS C COMMUTATION, PARALLEL
CAPACITOR COMMUTATION)
      In complementary commutation the current can be transferred between two loads.
Two SCRs are used and firing of one SCR turns off the other. The circuit is shown in figure
1.21.
                                                       IL
                                             R1                          R2
                                                              a b   iC
                        V
                                                              C
                                             T1                          T2
                                                                                                     34
                         Fig. 1.21: Complementary Commutation
The working of the circuit can be explained as follows.
      Initially both T1 and T2 are off; Now, T1 is fired. Load current I L flows through R1 . At
the same time, the capacitor C gets charged to V volts through R2 and T1 (‘b’ becomes
positive with respect to ‘a’). When the capacitor gets fully charged, the capacitor current
ic becomes zero.
       To turn off T1 , T2 is fired; the voltage across C comes across T1 and reverse biases it,
hence T1 turns off. At the same time, the load current flows through R2 and T2 . The capacitor
‘C’ charges towards V through R1 and T2 and is finally charged to V volts with ‘a’ plate
positive. When the capacitor is fully charged, the capacitor current becomes zero. To turn off
T2 , T1 is triggered, the capacitor voltage (with ‘a’ positive) comes across T2 and T2 turns off.
The related waveforms are shown in figure
                    Current through T 1                             2V
                                                                    R2
                                                               V
                                                               R1
                                                                                             t
                                              2V                    Current through T2
                                              R1
                                                    V
                                                    R2
                                                                                             t
              V
                    Voltage across
                    capacitor vab
                                                                                             t
        -V
              tC                                               tC
                                                                         Voltage across T1
                                                                                             t
tC
                                                                                                 35
                                                   T1                         IL
                                          
                          T3     VC(O)         C
                                         +
                                                                                    L
                                    L              T2                               O
             V                                                                      A
                                                                     FWD            D
     VS
                                                          Capacitor
                                                           voltage
    VC
             tC
                           Voltage across T1
                                                                                              t
VC
                                                                                                   36
                                                                                     i
                                                       T1                           +
                                                        IT 1                VC(O)        C
                                                                                    _
                                                                    T2
                                                                                     D
                           V
                                                                                         L
IL
RL
              VC
                               Capacitor
                                voltage
                                                                                             t
              V
                                                                    tC
                                           This is due to i
               IT 1
                      IL
                                    Current through SCR        V
                                                               RL
                                                                                             t
                                                               2V
                                                               RL
                      IL
                                           Load current
V Voltage across T1
tC
                                                                                                 37
EXTERNAL PULSE COMMUTATION (CLASS E COMMUTATION)
                     T1                      T2                     L         T3
                                                          +
    VS                       RL                   2VAUX       C              VAUX
                                                          
+ IL
                              T3                     +
                                                     _C                                L
                                                                            FWD        O
   VS                                                                                  A
                                      Lr                                               D
                                             T2
                                                                                            38
reverse voltage of 2V across T1 . This turns off T1 , thus the discharging and recharging of
capacitor is done through the supply and the commutation circuit can be tested without load.
PROBLEM
   1. A UJT is used to trigger the thyristor whose minimum gate triggering voltage is 6.2V,
      The UJT ratings are:   0.66 , I p  0.5mA , I v  3mA , RB1  RB 2  5k  , leakage
       current = 3.2mA, V p  14v and Vv  1V . Oscillator frequency is 2kHz and capacitor C
       = 0.04F. Design the complete circuit.
       Solution
                                   1 
                      T  RC C ln       
                                  1   
              Here,
                             1    1
                      T             , since f  2kHz and putting other values,
                             f 2 103
                         1                         1 
                              RC  0.04 106 ln             11.6k 
                      2 103
                                                   1  0.66 
              The peak voltage is given as, V p  VBB  VD
VBB  20V
                             0.7  RB 2  RB1 
                      R2 
                                   VBB
                             0.7  5  103 
                      R2 
                              0.66  20
                       R2  265
R1  985
                                    VBB  Vp
                      Rc max  
                                       Ip
                                     20  14
                      Rc max  
                                    0.5  10 3
                                                                                           39
                  Rc max  12k
                                VBB  Vv
                  Rc min  
                                   Iv
                                 20  1
                  Rc min  
                                3  10 3
                  Rc min   6.33k
2. Design the UJT triggering circuit for SCR. Given VBB  20V ,   0.6 , I p  10 A ,
   Vv  2V , I v  10mA . The frequency of oscillation is 100Hz. The triggering pulse
   width should be 50 s .
   Solution
                                                       1   1
          The frequency f = 100Hz, Therefore T          
                                                       f 100
                                     1 
          From equation T  Rc C ln      
                                     1 
          Putting values in above equation,
                   1            1 
                       RcC ln          
                  100           1  0.6 
                   RcC  0.0109135
                                                                                     40
Value of R2 can be calculated from
                104
        R2 
               VBB
                 104
        R2              833.33
               0.6  20
Here the pulse width is give, that is 50s.
Hence, value of R1 will be,
        2  R1C
The width  2  50 sec and C  1 F , hence above equation becomes,
50 106  R1 1106
        R1  50
Thus we obtained the values of components in UJT triggering circuit as,
        R1  50 , R2  833.33 , Rc  10.91k  , C  1 F .
41