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21/01/2020
EEE 453
Power Electronics
EEE-D-63 A, B
Spring 2020
Md Jabed Hossain
Assistant Professor
Stamford University Bangladesh– Department
of Electrical and Electronic Engineering
Mobile: +88-01816 050766
Email: jabed@stamforduniversity.edu.bd
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EEE 453
Text Books
1. Power Electronics: Circuits, Devices & Applications by Muhammad H.
Rashid
2. Power Electronics by Muhammad H. Rashid
3. Power Electronics: Converters, Application and Design by Ned Mohan
4. Power Electronics by Daniel W. Hart
Simulation Tools
Pspice Simulation
Matlab Simulink
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Course MaterialsEEE 453
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Course Contents
Power semiconductor switches and triggering devices: BJT, MOSFET, SCR,
IGBT, GTO, TRIAC, UJT and DIAC. Rectifiers: Uncontrolled and controlled
single phase and three phase. Regulated power supplies: Linear-series
and shunt, switching buck, buckboost, boost and Cuk regulators. AC
voltage controllers: single and three phase. Choppers. DC motor control.
Single phase cycloconverter. Inverters: Single phase and three phase
voltage and current source. AC motor control. Stepper motor control.
Resonance inverters. Pulse width modulation control of static converters.
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Course OutlineEEE 453
Commonly Used Power and Converter Equation
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Commonly Used Power and Converter Equation
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Commonly Used Power and Converter Equation
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Definition of Power Electronics and Applications
Power electronics involves
the study of electronic
circuits intended to
control the flow of
electrical energy. These
circuits handle power flow
at levels much higher
than the individual device
ratings.
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Classification of Power Electronics Circuits
The power electronics circuits can be classified into six types:
1. Diode rectifiers
2. Dc-dc converters(dc choppers)
3. Ac-dc converters(controlled rectifiers)
4. Ac-dc converters(controlled rectifiers)
5. Ac-ac converters(ac voltage controllers)
6. Static switches
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Power Diode Characteristics
The v-i characteristics show in figure can be
expressed by an equation known as Schockley diode
equation, and it is given under dc steady-state
operation by
/
1
Where
ID = current through the diode, A;
VD = diode voltage with anode positive with respect
to cathode, V;
IS = leakage (or reverse saturation) current, typically
in the range 10-6 to 10-15 A;
n = empirical constant known as emission coefficient,
or ideality factor, whose value varies from 1 to 2.
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VT in Eq. is a constant called
thermal voltage and it is given by
Structure of Power Diode
Middle layer of lightly doped n– is known as a drift layer. The thickness of the drift layer depends
on the required breakdown voltage. The breakdown voltage increases with an increase in the
width of the drift layer. Resistivity of this layer is high because of the low level of doping. If the
width of the drift layer increased, then the on-state voltage drop increase therefore power loss is
more. The doping level of the drift layer is 1014 cm-3.
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The operating principle of power diode is same as
the conventional PN junction diode. A diode
conducts when the anode voltage is higher than
the cathode voltage. The forward voltage drop
across the diode is very low around 0.5V to 1.2V.
In this region, the diode works as a forward
characteristic.
If the cathode voltage is higher than the anode
voltage, then the diode works as blocking mode.
In this mode, diode works according to the
reverse characteristic.
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Power Diode Characteristics
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A very small amount of leakage
current flows in the reverse bias
(blocking mode). The leakage
current is independent of the
applied reverse voltage. The
leakage current flows due to the
minority charge carriers. When the
reverse voltage reaches the reverse
breakdown voltage, avalanche
breakdown occurs.
Reverse Recovery Characteristics
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The current in a forward-biased junction diode is due to the net effect of majority and
minority carriers. Once a diode is in a forward conduction mode and then its forward
current is reduced to zero (due to the natural behaviour of the diode circuit or
application of a reverse voltage), the diode continues to conduct due to minority carriers
that remain stored in the pn-junction and the bulk semiconductor material. The minority
carriers require a certain time to recombine with opposite charges and to be neutralized.
This time is called the reverse recovery time
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Power Diode Applications and Types
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Applications:
Rectification
Freewheeling
Energy Feedback
AC to DC converters
DC to DC converters
DC to AC converters
Power Supply
Depending on the recovery characteristics and manufacturing
techniques, the power diodes can be classified into the
following three categories:
General Purpose PN junction Power Diodes
 These are used for the low frequency applications like
rectification.
 Voltage ratings are from 50V to 5kV.
Fast Recovery Diodes
 These diodes have low recovery time as compared to the
general purpose diodes.
 Can be used high frequency applications.
Schottky Diodes
 On state voltage drop across it is very low (0.3 V to 0.4 V).
 Large reverse leakage current and therefore a lower
breakdown voltage (so to 100V).
Power Bipolar Junction Transistors (BJT)
Structure of Power BJT
• A power transistor is a vertically oriented four
layer structure of alternating p-type and n-type.
The vertical structure is preferred because it
maximizes the cross sectional area and through
which the current in the device is flowing. This
also minimizes on-state resistance and thus power
dissipation in the transistor.
• The doping of emitter layer and collector layer is
quite large typically 1019 cm-3. A special layer
called the collector drift region (n-) has a light
doping level of 1014 cm-3.
• The thickness of the drift region determines the
breakdown voltage of the transistor. The base
thickness is made as small as possible in order to
have good amplification capabilities, however if
the base thickness is small the breakdown voltage
capability of the transistor is compromised.
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Power (BJT)
Features:
Larger size
Higher breakdown
voltage
Higher current carrying
and power handing
capability
Higher on state voltage
drops
High power application
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Applications:
Switch Mode Power
Supplies(SMPS)
Power amplifiers
DC to AC converters
Relays
Power control circuits
Power (BJT) Circuits
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BJT
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Power (BJT) Operation
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Power (BJT) Operation
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The circuit diagram of the NPN transistor is shown in the figure below. The forward biased
is applied across the emitter-base junction, and the reversed biased is applied across the
collector-base junction. The forward biased voltage VEB is small as compared to the
reverse bias voltage VCB.
Forward biased causes the electron in the n-type emitter to flow toward the base. This
constitutes the emitter current IE. As these electrons flow through the p-type base, these
electrons tend to combine with the holes. As the base is lightly doped and very thin,
therefore, only few electrons (less than 5%) combine with holes to constitute the base
current IB. The remainder (more than 95) cross over into the collector region to constitute
collector current IC.
Cut off ( Both BE & CB in RB)
Active (BE in FB & CB in RB)
Saturation ( Both BE & CB in FB)
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Bipolar Junction Transistors (BJT)
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Steady-State Characteristics
The model of an NPN-transistor is shown in Figure 4.30
under large-signal dc operation. The equation relating the
currents is
I I I
The base current is effectively the input current and the
collector current is the output current. The ratio of the
collector current IC to base current IB is known as the
forward
current gain, βF:
β
I
I
The collector current has two components: one due to the
base current and the other is the leakage current of the
CBJ.
I I I
Power MOSFETs
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Features of Power MOSFETs
A power MOSFET is a voltage-controlled device and requires only a small
input current. The switching speed is very high and the switching times
are of the order of nanoseconds. Power MOSFETs find increasing
applications in low-power high-frequency converters. MOSFETs do not
have the problems of second breakdown phenomena as do BJTs.
However, MOSFETs have the problems of electrostatic discharge and
require special care in handling. In addition, it is relatively difficult to
protect them under short-circuited fault conditions.
The two types of MOSFETs are
(1) depletion MOSFETs and
(2) enhancement MOSFETs
IRFP 450 Power
MOSFET
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Power MOSFETs
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Basic Operation
The gate-to-source voltage is set to zero volts by
the direct connection from one terminal to the other,
and a voltage VDS is applied across the drain-to-
source terminals. The result is an attraction for the
positive potential at the drain by the free electrons
of the n-channel and a current similar to that
established through the channel of the JFET. In fact,
the resulting current with VGS = 0 V continues to be
labelled IDSS, as shown in Fig.
In Fig, VGS has been set at a negative voltage such
as 1 V. The negative potential at the gate will tend
to pressure electrons toward the p-type substrate
(like charges repel) and attract holes from the p-
type substrate (opposite charges attract) as shown
in Fig.
Power MOSFETs
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Depending on the magnitude of the
negative bias established by VGS, a
level of recombination between
electrons and holes will occur that will
reduce the number of free electrons
in the n-channel available for
conduction. The more negative the
bias, the higher the rate of
recombination.
The resulting level of drain current is
therefore reduced with increasing
negative bias for VGS as shown in
Fig. 5.25 for VGS = -1 V, -2 V, and so
on, to the pinch-off level of -6 V.
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Power MOSFETs
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If VGS is negative, some of the electrons in the n-channel
area are repelled and a depletion region is created below
the oxide layer, resulting in a narrower effective channel
and a high resistance from the drain to source RDS If VGS
is made negative enough, the channel becomes
completely depleted, offering a high value of RDS, and no
current flows from the drain to source, IDS = 0. The value
of VGS when this happens is called pinchoff voltage VP.
An n-channel enhancement-type MOSFET has no
physical channel. If VGS is positive, an induced voltage
attracts the electrons from the p-substrate and
accumulates them at the surface beneath the oxide layer.
If VGS is greater than or equal to a value known as
threshold voltage VT, a sufficient number of electrons are
accumulated to form a virtual n-channel.
Silicon Controlled Rectifier (SCR)
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Operation:
The SCR is a four-layer, three-junction and a three-
terminal device and is shown in fig. The end P-region is
the anode, the end N-region is the cathode and the inner
P-region is the gate. The anode to cathode is connected
in series with the load circuit. Essentially the device is a
switch. Ideally it remains off (voltage blocking state), or
appears to have an infinite impedance until both the
anode and gate terminals have suitable positive voltages
with respect to the cathode terminal. The thyristor then
switches on and current flows and continues to conduct
without further gate signals. Ideally the thyristor has
zero impedance in conduction state. For switching off or
reverting to the blocking state, there must be no gate
signal and the anode current must be reduced to zero.
Current can flow only in one direction.
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Silicon Controlled Rectifier (SCR)
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Imagine the SCR cut along the dotted
line, as shown in fig. a. Then we can
have two devices, as shown in fig.b.
These two devices can be recognized as
two transistors. The upper left one is
P-N-P transistor and the lower right
N-P-N type. Further it can be
recognized that the base of the P-N-P
transistor is joined to the
collector of the N-P-N transistor while the collector of P-N-P is joined to the base of N-P-N
transistor, as illustrated in fig. c. Now we can see that the two transistors are connected in such a
manner that the collector of Q1 is connected to the base of Q2 i.e. the output collector current of
Q1 becomes the base current for Q2. In the similar way the collector of Q2 is joined to the base of
Q1 which shows that the output collector current of Q2 is fed to Q1 as input base current.
Silicon Controlled Rectifier (SCR)
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These are back to back connections of transistors in such a way that the output of one
goes into as input of other transistor and vice-versa. This gives net gain of loop circuit
as β1 x β2 where β1 and β2 are current gains of two transistors respectively. As soon as a
small amount of gate current is given to the base of transistor Q2 by applying forward
bias to its base-emitter junction, it generates the collector current as β2 times the base
current. This collector current of Q2 is fed as input base current to Q1 which is further
multiplied by β1 times as ICl which forms input base current of Q2 and undergoes
further amplification. In this way both transistors feedback each other and the collector
current of each goes on multiplying. This process is very quick and soon both the
transistors drive each other to saturation. Now the device is said to be in on-state. The
current through the on-state SCR is controlled by external impedance only.
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Characteristics of (SCR)
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When the anode voltage is made positive with respect to the cathode, the junctions J1 and J3 are
forward biased. The junction J2 is reverse biased, and only a small leakage current flows from anode to
cathode. The thyristor is then said to be in the forward blocking, or off-state, condition and the leakage
current is known as off-state current ID. If the anode-to-cathode voltage VAK is increased to a sufficiently
large value, the reverse-biased junction J2 breaks. This is known as avalanche breakdown and the
corresponding voltage is called forward breakdown voltage VBO. Because the other junctions J1 and J3
are already forward biased, there is free movement of carriers across all three junctions, resulting in a
large forward anode current. The device is then in a conducting state, or on-state. The voltage drop
would be due to the ohmic drop in the four layers and it is small, typically, 1 V. In the on-state, the
anode current is limited by an external impedance or a resistance, RL.
The anode current must be more than a value known as latching current IL to maintain the required
amount of carrier flow across the junction; otherwise, the device reverts to the blocking condition as the
anode-to-cathode voltage is reduced. Latching current IL is the minimum anode current required to
maintain the thyristor in the on-state immediately after a thyristor has been turned on and the gate
signal has been removed.
Characteristics of (SCR)
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if the forward anode current
is reduced below a level
known as the holding
current IH, a depletion region
develops around junction J2
due to the reduced number of
carriers and the thyristor is
in the blocking state.
Holding current IH is the
minimum anode current to
maintain the thyristor in the
on-state. The holding current
is less than the latching
current.
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Commonly Used Power and Converter Equation
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Commonly Used Power and Converter Equation
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Insulated Gate Bipolar Transistor ( IGBT )
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The operation of the IGBT is explained as follows
OFF STATE :
• When gate-emitter voltage less than the threshold voltage, inversion layer is
not created.
• The forward voltage between collector to emitter reverse biased across
junction J2 and only leakage current flow.
ON STATE:
• When gate - emitter voltage greater than threshold voltage inversion layer is
created.
• Due to this inversion layer conduction channel is created, therefore flow of
current is possible.
Insulated Gate Bipolar Transistor ( IGBT )
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Insulated Gate Bipolar Transistor ( IGBT )
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Gate Turn-off Thyristors (GTO)
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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 these advantages over SCRs:
(1) elimination of commutating components in forced commutation, resulting in reduction in
cost, weight, and volume;
(2) reduction in acoustic and electromagnetic noise due to the elimination of commutation
chokes;
(3) faster turn-off, permitting high switching frequencies; and
(4) improved efficiency of converters
In low-power applications, GTOs have the following advantages over bipolar transistors:
(1) a higher blocking voltage capability;
(2) a high ratio of peak controllable current to average current;
(3) a high ratio of peak surge current to average current, typically 10:1;
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Gate Turn-off Thyristors (GTO)
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(4) a high on-state gain
(anode current and gate
current), typically 600; and
(5) a pulsed gate signal of
short duration.
Operation:
A positive gate pulse turns
the device ON.
if GTO is already ON and a
negative pulse is applied to
the gate terminal, the device
will turn off
Gate Turn-off Thyristors (GTO)
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Characteristics
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TRIAC
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A TRIAC can conduct in both
directions and is normally
used in ac-phase control. It
can be considered as two SCRs
connected in antiparallel with
a common gate connection as
shown in Figure
Application of TRIAC:
1. Lamps control
2. Speed control of fans
3. Chopper
4. AC phase control
TRIAC
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Because a TRIAC is a
bidirectional device, its
terminals cannot be designated
as anode and cathode. If
terminal MT2 is positive with
respect to terminal MT1, the
TRIAC can be turned on by
applying a positive gate signal
between gate G and terminal
MT1. If terminal MT2 is negative
with respect to terminal MT1, it
is turned on by applying a
negative gate signal between
gate G and terminal MT1.
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DIAC
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A DIAC, or “diode for alternating
current,” is also a member of the
thyristor family. DIAC is used for
triggering TRIAC. It is just like a
TRIAC without a gate terminal.
The cross section of a DIAC is
shown in Fig. Its equivalent circuit
is a pair of inverted four-layer
diodes. MT2 and MT1 are the two
main terminals of the device.
There is no control terminal in this
device. A DIAC can be switched
from off-state to the on-state for
either polarity of the applied
voltage.
DIAC
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Operation:
When the terminal MT2 is positive enough to break the junction N2-P2, the
current can flow from terminal MT2 to terminal MT1 through the path P1-N2-P2-
N3. If the polarity of terminal MT1 is positive enough to break the junction N2-P1,
the current flows through the path P2-N2-P1-N1. A DIAC may be considered as
two series-connected diodes in opposite direction.
Characteristics:
When applied voltage in either polarity is less than the avalanche breakover
voltage VBO, the DIAC is in the off-state (or nonconducting state) and a very
small amount of leakage current flows through the device. However, when the
magnitude of the applied voltage exceeds the avalanche breakover voltage VBO,
the breakdown takes place and the DIAC current rises sharply, as shown in
Figure. Once the current starts to flow, there is an on-state voltage drop V due to
the load current flow.
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DIAC
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If a DIAC is connected to an ac
sinusoidal supply voltage, as
shown in Figure the load current
will flow only when the supply
voltage exceeds the breakover
voltage in either direction.
Unijunction Transistor (UJT)
The unijunction transistor
(UJT) is commonly used for
generating triggering
signals for SCRs. A basic
UJT-triggering circuit is
shown in Figure 9.47a. A
UJT has three terminals,
called the emitter E, base-
one B1, and base-two B2.
Between B1 and B2 the
unijunction has the
characteristics of an
ordinary resistance.
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Unijunction Transistor (UJT)
Operation:
When the dc supply voltage VS is applied, the
capacitor C is charged through resistor R
because the emitter circuit of the UJT is in
the open state. The time constant of the
charging circuit is ζ1 = RC. When the emitter
voltage VE, which is the same as the capacitor
voltage VC, reaches the peak voltage VP, the
UJT turns on and capacitor C discharges
through RB1 at a rate determined by the time
constant ζ2 = RB1C. ζ2 is much smaller than
ζ1. When the emitter voltage VE decays to the
valley point VV, the emitter ceases to conduct,
the UJT turns off, and the charging cycle is
repeated. The waveforms of the emitter and
triggering voltages are shown in Figure
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Unijunction Transistor (UJT)
Characteristics:
The static emitter characteristic (a curve showing the relation between emitter
voltage VE and emitter current IE) of a UJT at a given inter base voltage VBB is
shown in figure. From figure it is noted that for emitter potentials to the left of
peak point, emitter current IE never exceeds IEo . The current IEo corresponds
very closely to the reverse leakage current ICo of the conventional BJT. This
region, as shown in the figure, is called the cut-off region. Once conduction is
established at VE = VP the emitter potential VE starts decreasing with the
increase in emitter current IE. This Corresponds exactly with the decrease in
resistance RB for increasing current IE. This device, therefore, has a negative
resistance region which is stable enough to be used with a great deal of
reliability in the areas of applications listed earlier. Eventually, the valley point
reaches, and any further increase in emitter current IE places the device in the
saturation region, as shown in the figure. Three other important parameters for
the UJT are IP, VV and IV and are defined below:
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Unijunction Transistor (UJT)
Peak-Point Emitter Current. Ip : It is
the emitter current at the peak point. It
represents the minimum current that is
required to trigger the device (UJT). It
is inversely proportional to the
interbase voltage VBB.
Valley Point Voltage VV : The valley
point voltage is the emitter voltage at
the valley point. The valley voltage
increases with the increase in interbase
voltage VBB.
Valley Point Current IV The valley point
current is the emitter current at the
valley point. It increases with the
increase in inter-base voltage VBB.
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Programmable Unijunction Transistor(PUT)
The programmable unijunction transistor
(PUT) is a small thyristor shown in
Figurg a. A PUT can be used as a
relaxation oscillator, as shown in Figure
b. The gate voltage VG is maintained from
the supply by the resistor dividers R1 and
R2, and determines the peak point voltage
VP. In the case of the UJT, VP is fixed for
a device by the dc supply voltage.
However, VP of a PUT can be varied by
varying the resistor dividers R1 and R2. If
the anode voltage VA is less than the gate
voltage VG, the device can remain in its
off-state. If VA exceeds the gate voltage by
one diode forward voltage VD, the peak
point is reached and the device turns on.
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Programmable Unijunction Transistor(PUT)
voltage VD, the peak point is reached and the device turns on. The peak current
IP and the valley point current IV both depend on the equivalent impedance on
the gate
! !
and the dc supply voltage Vs. In general, Rk is limited to a value below 100.
VP is given by
"
!
!
#
Home Work: Example 9.6
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Diode Rectifiers
A rectifier is a circuit that converts an ac signal into a unidirectional signal. A rectifier
is a type of ac–dc converter.
Performance Parameters:
Harmonics:
In an electric Power System, a harmonic is a voltage or current at a multiple of the
fundamental frequency of the system, produced by the action of non-linear loads such
as rectifiers, discharge lighting, or saturated magnetic devices.
Ripple:
Ripple (specifically ripple voltage) in electronics is the residual periodic variation of the
DC voltage within a power supply which has been derived from an alternating current
(AC) source. This ripple is due to incomplete suppression of the alternating
waveform after rectification. Ripple voltage originates as the output of a rectifier or
from generation and commutation of DC power.
Ripple (specifically ripple current or surge current) may also refer to the pulsed current
consumption of non-linear devices like capacitor-input rectifiers.
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Diode Rectifiers
The performances of a rectifier are normally evaluated in terms of the following
parameters:
The average value of the output (load) voltage, Vdc
The average value of the output (load) current, Idc
The output dc power,
$%& %& %&
The root-mean-square (rms) value of the output voltage, Vrms
The rms value of the output current, Irms
The output ac power
$'& () ()
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Diode Rectifiers
The efficiency (or rectification ratio) of a rectifier, which is a figure of merit and
permits us to compare the effectiveness, is defined as
*
$%&
$'&
It should be noted that j is not the power efficiency. It is the conversion efficiency
which is a measure of the quality of the output waveform. For a pure dc output,
the conversion efficiency would be unity.
The output voltage can be considered as composed of two components: (1) the dc
value and (2) the ac component or ripple. The effective (rms) value of the ac
component of output voltage is
'&
!
()
!
%&
+
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Diode Rectifiers
The form factor, which is a measure of the shape of output voltage, is
,,
()
%&
The ripple factor, which is a measure of the ripple content, is defined as
,
'&
%&
the ripple factor can be expressed as
, !
()
!
%&
+
, -./
01
!
1
+
= ,,! 1
+
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Diode Rectifiers
The transformer utilization factor is defined as
23,
$%&
where Vs and Is are the rms voltage and rms current of the transformer secondary,
respectively. The input power can be determined approximately by equating input
power with the output ac power. That is, the power factor is related by
$,
$'&
Crest factor (CF), which is a measure of the peak input current Is(peak) as compared
with its rms value Is, is often of interest to specify the peak current ratings of devices
and components. CF of the input current is defined by
4,
"5'
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Power ElectronicsEEE 453
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Diode Rectifiers
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Power ElectronicsEEE 453
Diode Rectifiers
Full-wave Rectifier Circuit with a Center-tapped Transformer:
A full-wave rectifier circuit with a center-tapped transformer is shown in Figure
a. During the positive half-cycle of the input voltage, diode D1 conducts and
diode D2 is in a blocking condition. The input voltage appears across the load.
During the negative half-cycle of the input voltage, diode D2 conducts while
diode D1 is in a blocking condition. The negative portion of the input voltage
appears across the load as a positive voltage. The waveform of the output
voltage over a complete cycle is shown in Figure b. Because there is no dc
current flowing through the transformer, there is no dc saturation problem of
transformer core. The average output voltage is
%&
2
2
7 )89:;<=<
2 )
?
!
@
0.6366 )
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Power ElectronicsEEE 453
21/01/2020
Definition of Power Electronics and Applications
Power electronics involves
the study of electronic
circuits intended to
control the flow of
electrical energy. These
circuits handle power flow
at levels much higher
than the individual device
ratings.
21/01/2020 Stamford University Bangladesh 7
Power ElectronicsEEE 453
Classification of Power Electronics Circuits
The power electronics circuits can be classified into six types:
1. Diode rectifiers
2. Dc-dc converters(dc choppers)
3. Ac-dc converters(controlled rectifiers)
4. Ac-dc converters(controlled rectifiers)
5. Ac-ac converters(ac voltage controllers)
6. Static switches
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Power ElectronicsEEE 453
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Diode Rectifiers
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Diode Rectifiers
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Power ElectronicsEEE 453
Performance Parameters:
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Diode Rectifiers
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Diode Rectifiers
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Diode Rectifiers
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Diode Rectifiers
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21/01/2020
Half Wave Rectifiers RL Load
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Power ElectronicsEEE 453
Half Wave Rectifiers RL Load
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Half Wave Rectifiers RL Load
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Power ElectronicsEEE 453
Output Voltage and Current:
Half Wave Rectifiers with RL Load and Battery
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Half Wave Rectifiers with RL Load and Battery
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Power ElectronicsEEE 453
Half Wave Rectifiers with RL Load and Battery
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Power ElectronicsEEE 453
21/01/2020
Diode Rectifiers
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Power ElectronicsEEE 453
Diode Rectifiers
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Power ElectronicsEEE 453
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Diode Rectifiers
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Diode Rectifiers
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Power Diode Characteristics
The v-i characteristics show in figure can be
expressed by an equation known as Schockley diode
equation, and it is given under dc steady-state
operation by
/
1
Where
ID = current through the diode, A;
VD = diode voltage with anode positive with respect
to cathode, V;
IS = leakage (or reverse saturation) current, typically
in the range 10-6 to 10-15 A;
n = empirical constant known as emission coefficient,
or ideality factor, whose value varies from 1 to 2.
21/01/2020 Stamford University Bangladesh 9
Power ElectronicsEEE 453
VT in Eq. is a constant called
thermal voltage and it is given by
Structure of Power Diode
Middle layer of lightly doped n– is known as a drift layer. The thickness of the drift layer depends
on the required breakdown voltage. The breakdown voltage increases with an increase in the
width of the drift layer. Resistivity of this layer is high because of the low level of doping. If the
width of the drift layer increased, then the on-state voltage drop increase therefore power loss is
more. The doping level of the drift layer is 1014 cm-3.
21/01/2020 Stamford University Bangladesh 10
Power ElectronicsEEE 453
The operating principle of power diode is same as
the conventional PN junction diode. A diode
conducts when the anode voltage is higher than
the cathode voltage. The forward voltage drop
across the diode is very low around 0.5V to 1.2V.
In this region, the diode works as a forward
characteristic.
If the cathode voltage is higher than the anode
voltage, then the diode works as blocking mode.
In this mode, diode works according to the
reverse characteristic.
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Diode Rectifiers
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Diode Rectifiers
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Power ElectronicsEEE 453

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EEE 453( Semiconductor Switch and Triggering Device)

  • 1. 21/01/2020 EEE 453 Power Electronics EEE-D-63 A, B Spring 2020 Md Jabed Hossain Assistant Professor Stamford University Bangladesh– Department of Electrical and Electronic Engineering Mobile: +88-01816 050766 Email: jabed@stamforduniversity.edu.bd 21/01/2020 Stamford University Bangladesh 1 EEE 453 Text Books 1. Power Electronics: Circuits, Devices & Applications by Muhammad H. Rashid 2. Power Electronics by Muhammad H. Rashid 3. Power Electronics: Converters, Application and Design by Ned Mohan 4. Power Electronics by Daniel W. Hart Simulation Tools Pspice Simulation Matlab Simulink 21/01/2020 Stamford University Bangladesh 2 Course MaterialsEEE 453
  • 2. 21/01/2020 Course Contents Power semiconductor switches and triggering devices: BJT, MOSFET, SCR, IGBT, GTO, TRIAC, UJT and DIAC. Rectifiers: Uncontrolled and controlled single phase and three phase. Regulated power supplies: Linear-series and shunt, switching buck, buckboost, boost and Cuk regulators. AC voltage controllers: single and three phase. Choppers. DC motor control. Single phase cycloconverter. Inverters: Single phase and three phase voltage and current source. AC motor control. Stepper motor control. Resonance inverters. Pulse width modulation control of static converters. 21/01/2020 Stamford University Bangladesh 3 Course OutlineEEE 453 Commonly Used Power and Converter Equation 21/01/2020 Stamford University Bangladesh 4 Power ElectronicsEEE 453
  • 3. 21/01/2020 Commonly Used Power and Converter Equation 21/01/2020 Stamford University Bangladesh 5 Power ElectronicsEEE 453 Commonly Used Power and Converter Equation 21/01/2020 Stamford University Bangladesh 6 Power ElectronicsEEE 453
  • 4. 21/01/2020 Definition of Power Electronics and Applications Power electronics involves the study of electronic circuits intended to control the flow of electrical energy. These circuits handle power flow at levels much higher than the individual device ratings. 21/01/2020 Stamford University Bangladesh 7 Power ElectronicsEEE 453 Classification of Power Electronics Circuits The power electronics circuits can be classified into six types: 1. Diode rectifiers 2. Dc-dc converters(dc choppers) 3. Ac-dc converters(controlled rectifiers) 4. Ac-dc converters(controlled rectifiers) 5. Ac-ac converters(ac voltage controllers) 6. Static switches 21/01/2020 Stamford University Bangladesh 8 Power ElectronicsEEE 453
  • 5. 21/01/2020 Power Diode Characteristics The v-i characteristics show in figure can be expressed by an equation known as Schockley diode equation, and it is given under dc steady-state operation by / 1 Where ID = current through the diode, A; VD = diode voltage with anode positive with respect to cathode, V; IS = leakage (or reverse saturation) current, typically in the range 10-6 to 10-15 A; n = empirical constant known as emission coefficient, or ideality factor, whose value varies from 1 to 2. 21/01/2020 Stamford University Bangladesh 9 Power ElectronicsEEE 453 VT in Eq. is a constant called thermal voltage and it is given by Structure of Power Diode Middle layer of lightly doped n– is known as a drift layer. The thickness of the drift layer depends on the required breakdown voltage. The breakdown voltage increases with an increase in the width of the drift layer. Resistivity of this layer is high because of the low level of doping. If the width of the drift layer increased, then the on-state voltage drop increase therefore power loss is more. The doping level of the drift layer is 1014 cm-3. 21/01/2020 Stamford University Bangladesh 10 Power ElectronicsEEE 453 The operating principle of power diode is same as the conventional PN junction diode. A diode conducts when the anode voltage is higher than the cathode voltage. The forward voltage drop across the diode is very low around 0.5V to 1.2V. In this region, the diode works as a forward characteristic. If the cathode voltage is higher than the anode voltage, then the diode works as blocking mode. In this mode, diode works according to the reverse characteristic.
  • 6. 21/01/2020 Power Diode Characteristics 21/01/2020 Stamford University Bangladesh 11 Power ElectronicsEEE 453 A very small amount of leakage current flows in the reverse bias (blocking mode). The leakage current is independent of the applied reverse voltage. The leakage current flows due to the minority charge carriers. When the reverse voltage reaches the reverse breakdown voltage, avalanche breakdown occurs. Reverse Recovery Characteristics 21/01/2020 Stamford University Bangladesh 12 Power ElectronicsEEE 453 The current in a forward-biased junction diode is due to the net effect of majority and minority carriers. Once a diode is in a forward conduction mode and then its forward current is reduced to zero (due to the natural behaviour of the diode circuit or application of a reverse voltage), the diode continues to conduct due to minority carriers that remain stored in the pn-junction and the bulk semiconductor material. The minority carriers require a certain time to recombine with opposite charges and to be neutralized. This time is called the reverse recovery time
  • 7. 21/01/2020 Power Diode Applications and Types 21/01/2020 Stamford University Bangladesh 13 Power ElectronicsEEE 453 Applications: Rectification Freewheeling Energy Feedback AC to DC converters DC to DC converters DC to AC converters Power Supply Depending on the recovery characteristics and manufacturing techniques, the power diodes can be classified into the following three categories: General Purpose PN junction Power Diodes  These are used for the low frequency applications like rectification.  Voltage ratings are from 50V to 5kV. Fast Recovery Diodes  These diodes have low recovery time as compared to the general purpose diodes.  Can be used high frequency applications. Schottky Diodes  On state voltage drop across it is very low (0.3 V to 0.4 V).  Large reverse leakage current and therefore a lower breakdown voltage (so to 100V). Power Bipolar Junction Transistors (BJT) Structure of Power BJT • A power transistor is a vertically oriented four layer structure of alternating p-type and n-type. The vertical structure is preferred because it maximizes the cross sectional area and through which the current in the device is flowing. This also minimizes on-state resistance and thus power dissipation in the transistor. • The doping of emitter layer and collector layer is quite large typically 1019 cm-3. A special layer called the collector drift region (n-) has a light doping level of 1014 cm-3. • The thickness of the drift region determines the breakdown voltage of the transistor. The base thickness is made as small as possible in order to have good amplification capabilities, however if the base thickness is small the breakdown voltage capability of the transistor is compromised. 21/01/2020 Stamford University Bangladesh 14 Power ElectronicsEEE 453
  • 8. 21/01/2020 Power (BJT) Features: Larger size Higher breakdown voltage Higher current carrying and power handing capability Higher on state voltage drops High power application 21/01/2020 Stamford University Bangladesh 15 Power ElectronicsEEE 453 Applications: Switch Mode Power Supplies(SMPS) Power amplifiers DC to AC converters Relays Power control circuits Power (BJT) Circuits 21/01/2020 Stamford University Bangladesh 16 Power ElectronicsEEE 453 BJT
  • 9. 21/01/2020 Power (BJT) Operation 21/01/2020 Stamford University Bangladesh 17 Power ElectronicsEEE 453 Power (BJT) Operation 21/01/2020 Stamford University Bangladesh 18 Power ElectronicsEEE 453 The circuit diagram of the NPN transistor is shown in the figure below. The forward biased is applied across the emitter-base junction, and the reversed biased is applied across the collector-base junction. The forward biased voltage VEB is small as compared to the reverse bias voltage VCB. Forward biased causes the electron in the n-type emitter to flow toward the base. This constitutes the emitter current IE. As these electrons flow through the p-type base, these electrons tend to combine with the holes. As the base is lightly doped and very thin, therefore, only few electrons (less than 5%) combine with holes to constitute the base current IB. The remainder (more than 95) cross over into the collector region to constitute collector current IC. Cut off ( Both BE & CB in RB) Active (BE in FB & CB in RB) Saturation ( Both BE & CB in FB)
  • 10. 21/01/2020 Bipolar Junction Transistors (BJT) 21/01/2020 Stamford University Bangladesh 19 Power ElectronicsEEE 453 Steady-State Characteristics The model of an NPN-transistor is shown in Figure 4.30 under large-signal dc operation. The equation relating the currents is I I I The base current is effectively the input current and the collector current is the output current. The ratio of the collector current IC to base current IB is known as the forward current gain, βF: β I I The collector current has two components: one due to the base current and the other is the leakage current of the CBJ. I I I Power MOSFETs 21/01/2020 Stamford University Bangladesh 20 Power ElectronicsEEE 453 Features of Power MOSFETs A power MOSFET is a voltage-controlled device and requires only a small input current. The switching speed is very high and the switching times are of the order of nanoseconds. Power MOSFETs find increasing applications in low-power high-frequency converters. MOSFETs do not have the problems of second breakdown phenomena as do BJTs. However, MOSFETs have the problems of electrostatic discharge and require special care in handling. In addition, it is relatively difficult to protect them under short-circuited fault conditions. The two types of MOSFETs are (1) depletion MOSFETs and (2) enhancement MOSFETs IRFP 450 Power MOSFET
  • 11. 21/01/2020 Power MOSFETs 21/01/2020 Stamford University Bangladesh 21 Power ElectronicsEEE 453 Basic Operation The gate-to-source voltage is set to zero volts by the direct connection from one terminal to the other, and a voltage VDS is applied across the drain-to- source terminals. The result is an attraction for the positive potential at the drain by the free electrons of the n-channel and a current similar to that established through the channel of the JFET. In fact, the resulting current with VGS = 0 V continues to be labelled IDSS, as shown in Fig. In Fig, VGS has been set at a negative voltage such as 1 V. The negative potential at the gate will tend to pressure electrons toward the p-type substrate (like charges repel) and attract holes from the p- type substrate (opposite charges attract) as shown in Fig. Power MOSFETs 21/01/2020 Stamford University Bangladesh 22 Power ElectronicsEEE 453 Depending on the magnitude of the negative bias established by VGS, a level of recombination between electrons and holes will occur that will reduce the number of free electrons in the n-channel available for conduction. The more negative the bias, the higher the rate of recombination. The resulting level of drain current is therefore reduced with increasing negative bias for VGS as shown in Fig. 5.25 for VGS = -1 V, -2 V, and so on, to the pinch-off level of -6 V.
  • 12. 21/01/2020 Power MOSFETs 21/01/2020 Stamford University Bangladesh 23 Power ElectronicsEEE 453 If VGS is negative, some of the electrons in the n-channel area are repelled and a depletion region is created below the oxide layer, resulting in a narrower effective channel and a high resistance from the drain to source RDS If VGS is made negative enough, the channel becomes completely depleted, offering a high value of RDS, and no current flows from the drain to source, IDS = 0. The value of VGS when this happens is called pinchoff voltage VP. An n-channel enhancement-type MOSFET has no physical channel. If VGS is positive, an induced voltage attracts the electrons from the p-substrate and accumulates them at the surface beneath the oxide layer. If VGS is greater than or equal to a value known as threshold voltage VT, a sufficient number of electrons are accumulated to form a virtual n-channel. Silicon Controlled Rectifier (SCR) 21/01/2020 Stamford University Bangladesh 24 Power ElectronicsEEE 453 Operation: The SCR is a four-layer, three-junction and a three- terminal device and is shown in fig. The end P-region is the anode, the end N-region is the cathode and the inner P-region is the gate. The anode to cathode is connected in series with the load circuit. Essentially the device is a switch. Ideally it remains off (voltage blocking state), or appears to have an infinite impedance until both the anode and gate terminals have suitable positive voltages with respect to the cathode terminal. The thyristor then switches on and current flows and continues to conduct without further gate signals. Ideally the thyristor has zero impedance in conduction state. For switching off or reverting to the blocking state, there must be no gate signal and the anode current must be reduced to zero. Current can flow only in one direction.
  • 13. 21/01/2020 Silicon Controlled Rectifier (SCR) 21/01/2020 Stamford University Bangladesh 25 Power ElectronicsEEE 453 Imagine the SCR cut along the dotted line, as shown in fig. a. Then we can have two devices, as shown in fig.b. These two devices can be recognized as two transistors. The upper left one is P-N-P transistor and the lower right N-P-N type. Further it can be recognized that the base of the P-N-P transistor is joined to the collector of the N-P-N transistor while the collector of P-N-P is joined to the base of N-P-N transistor, as illustrated in fig. c. Now we can see that the two transistors are connected in such a manner that the collector of Q1 is connected to the base of Q2 i.e. the output collector current of Q1 becomes the base current for Q2. In the similar way the collector of Q2 is joined to the base of Q1 which shows that the output collector current of Q2 is fed to Q1 as input base current. Silicon Controlled Rectifier (SCR) 21/01/2020 Stamford University Bangladesh 26 Power ElectronicsEEE 453 These are back to back connections of transistors in such a way that the output of one goes into as input of other transistor and vice-versa. This gives net gain of loop circuit as β1 x β2 where β1 and β2 are current gains of two transistors respectively. As soon as a small amount of gate current is given to the base of transistor Q2 by applying forward bias to its base-emitter junction, it generates the collector current as β2 times the base current. This collector current of Q2 is fed as input base current to Q1 which is further multiplied by β1 times as ICl which forms input base current of Q2 and undergoes further amplification. In this way both transistors feedback each other and the collector current of each goes on multiplying. This process is very quick and soon both the transistors drive each other to saturation. Now the device is said to be in on-state. The current through the on-state SCR is controlled by external impedance only.
  • 14. 21/01/2020 Characteristics of (SCR) 21/01/2020 Stamford University Bangladesh 27 Power ElectronicsEEE 453 When the anode voltage is made positive with respect to the cathode, the junctions J1 and J3 are forward biased. The junction J2 is reverse biased, and only a small leakage current flows from anode to cathode. The thyristor is then said to be in the forward blocking, or off-state, condition and the leakage current is known as off-state current ID. If the anode-to-cathode voltage VAK is increased to a sufficiently large value, the reverse-biased junction J2 breaks. This is known as avalanche breakdown and the corresponding voltage is called forward breakdown voltage VBO. Because the other junctions J1 and J3 are already forward biased, there is free movement of carriers across all three junctions, resulting in a large forward anode current. The device is then in a conducting state, or on-state. The voltage drop would be due to the ohmic drop in the four layers and it is small, typically, 1 V. In the on-state, the anode current is limited by an external impedance or a resistance, RL. The anode current must be more than a value known as latching current IL to maintain the required amount of carrier flow across the junction; otherwise, the device reverts to the blocking condition as the anode-to-cathode voltage is reduced. Latching current IL is the minimum anode current required to maintain the thyristor in the on-state immediately after a thyristor has been turned on and the gate signal has been removed. Characteristics of (SCR) 21/01/2020 Stamford University Bangladesh 28 Power ElectronicsEEE 453 if the forward anode current is reduced below a level known as the holding current IH, a depletion region develops around junction J2 due to the reduced number of carriers and the thyristor is in the blocking state. Holding current IH is the minimum anode current to maintain the thyristor in the on-state. The holding current is less than the latching current.
  • 15. 21/01/2020 Commonly Used Power and Converter Equation 21/01/2020 Stamford University Bangladesh 5 Power ElectronicsEEE 453 Commonly Used Power and Converter Equation 21/01/2020 Stamford University Bangladesh 6 Power ElectronicsEEE 453
  • 16. 21/01/2020 Insulated Gate Bipolar Transistor ( IGBT ) 21/01/2020 Stamford University Bangladesh 31 Power ElectronicsEEE 453 The operation of the IGBT is explained as follows OFF STATE : • When gate-emitter voltage less than the threshold voltage, inversion layer is not created. • The forward voltage between collector to emitter reverse biased across junction J2 and only leakage current flow. ON STATE: • When gate - emitter voltage greater than threshold voltage inversion layer is created. • Due to this inversion layer conduction channel is created, therefore flow of current is possible. Insulated Gate Bipolar Transistor ( IGBT ) 21/01/2020 Stamford University Bangladesh 32 Power ElectronicsEEE 453
  • 17. 21/01/2020 Insulated Gate Bipolar Transistor ( IGBT ) 21/01/2020 Stamford University Bangladesh 33 Power ElectronicsEEE 453 Gate Turn-off Thyristors (GTO) 21/01/2020 Stamford University Bangladesh 34 Power ElectronicsEEE 453 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 these advantages over SCRs: (1) elimination of commutating components in forced commutation, resulting in reduction in cost, weight, and volume; (2) reduction in acoustic and electromagnetic noise due to the elimination of commutation chokes; (3) faster turn-off, permitting high switching frequencies; and (4) improved efficiency of converters In low-power applications, GTOs have the following advantages over bipolar transistors: (1) a higher blocking voltage capability; (2) a high ratio of peak controllable current to average current; (3) a high ratio of peak surge current to average current, typically 10:1;
  • 18. 21/01/2020 Gate Turn-off Thyristors (GTO) 21/01/2020 Stamford University Bangladesh 35 Power ElectronicsEEE 453 (4) a high on-state gain (anode current and gate current), typically 600; and (5) a pulsed gate signal of short duration. Operation: A positive gate pulse turns the device ON. if GTO is already ON and a negative pulse is applied to the gate terminal, the device will turn off Gate Turn-off Thyristors (GTO) 21/01/2020 Stamford University Bangladesh 36 Power ElectronicsEEE 453 Characteristics
  • 19. 21/01/2020 TRIAC 21/01/2020 Stamford University Bangladesh 37 Power ElectronicsEEE 453 A TRIAC can conduct in both directions and is normally used in ac-phase control. It can be considered as two SCRs connected in antiparallel with a common gate connection as shown in Figure Application of TRIAC: 1. Lamps control 2. Speed control of fans 3. Chopper 4. AC phase control TRIAC 21/01/2020 Stamford University Bangladesh 38 Power ElectronicsEEE 453 Because a TRIAC is a bidirectional device, its terminals cannot be designated as anode and cathode. If terminal MT2 is positive with respect to terminal MT1, the TRIAC can be turned on by applying a positive gate signal between gate G and terminal MT1. If terminal MT2 is negative with respect to terminal MT1, it is turned on by applying a negative gate signal between gate G and terminal MT1.
  • 20. 21/01/2020 DIAC 21/01/2020 Stamford University Bangladesh 39 Power ElectronicsEEE 453 A DIAC, or “diode for alternating current,” is also a member of the thyristor family. DIAC is used for triggering TRIAC. It is just like a TRIAC without a gate terminal. The cross section of a DIAC is shown in Fig. Its equivalent circuit is a pair of inverted four-layer diodes. MT2 and MT1 are the two main terminals of the device. There is no control terminal in this device. A DIAC can be switched from off-state to the on-state for either polarity of the applied voltage. DIAC 21/01/2020 Stamford University Bangladesh 40 Power ElectronicsEEE 453 Operation: When the terminal MT2 is positive enough to break the junction N2-P2, the current can flow from terminal MT2 to terminal MT1 through the path P1-N2-P2- N3. If the polarity of terminal MT1 is positive enough to break the junction N2-P1, the current flows through the path P2-N2-P1-N1. A DIAC may be considered as two series-connected diodes in opposite direction. Characteristics: When applied voltage in either polarity is less than the avalanche breakover voltage VBO, the DIAC is in the off-state (or nonconducting state) and a very small amount of leakage current flows through the device. However, when the magnitude of the applied voltage exceeds the avalanche breakover voltage VBO, the breakdown takes place and the DIAC current rises sharply, as shown in Figure. Once the current starts to flow, there is an on-state voltage drop V due to the load current flow.
  • 21. 21/01/2020 DIAC 21/01/2020 Stamford University Bangladesh 41 Power ElectronicsEEE 453 If a DIAC is connected to an ac sinusoidal supply voltage, as shown in Figure the load current will flow only when the supply voltage exceeds the breakover voltage in either direction. Unijunction Transistor (UJT) The unijunction transistor (UJT) is commonly used for generating triggering signals for SCRs. A basic UJT-triggering circuit is shown in Figure 9.47a. A UJT has three terminals, called the emitter E, base- one B1, and base-two B2. Between B1 and B2 the unijunction has the characteristics of an ordinary resistance. 21/01/2020 Stamford University Bangladesh 42 Power ElectronicsEEE 453
  • 22. 21/01/2020 Unijunction Transistor (UJT) Operation: When the dc supply voltage VS is applied, the capacitor C is charged through resistor R because the emitter circuit of the UJT is in the open state. The time constant of the charging circuit is ζ1 = RC. When the emitter voltage VE, which is the same as the capacitor voltage VC, reaches the peak voltage VP, the UJT turns on and capacitor C discharges through RB1 at a rate determined by the time constant ζ2 = RB1C. ζ2 is much smaller than ζ1. When the emitter voltage VE decays to the valley point VV, the emitter ceases to conduct, the UJT turns off, and the charging cycle is repeated. The waveforms of the emitter and triggering voltages are shown in Figure 21/01/2020 Stamford University Bangladesh 43 Power ElectronicsEEE 453 Unijunction Transistor (UJT) Characteristics: The static emitter characteristic (a curve showing the relation between emitter voltage VE and emitter current IE) of a UJT at a given inter base voltage VBB is shown in figure. From figure it is noted that for emitter potentials to the left of peak point, emitter current IE never exceeds IEo . The current IEo corresponds very closely to the reverse leakage current ICo of the conventional BJT. This region, as shown in the figure, is called the cut-off region. Once conduction is established at VE = VP the emitter potential VE starts decreasing with the increase in emitter current IE. This Corresponds exactly with the decrease in resistance RB for increasing current IE. This device, therefore, has a negative resistance region which is stable enough to be used with a great deal of reliability in the areas of applications listed earlier. Eventually, the valley point reaches, and any further increase in emitter current IE places the device in the saturation region, as shown in the figure. Three other important parameters for the UJT are IP, VV and IV and are defined below: 21/01/2020 Stamford University Bangladesh 44 Power ElectronicsEEE 453
  • 23. 21/01/2020 Unijunction Transistor (UJT) Peak-Point Emitter Current. Ip : It is the emitter current at the peak point. It represents the minimum current that is required to trigger the device (UJT). It is inversely proportional to the interbase voltage VBB. Valley Point Voltage VV : The valley point voltage is the emitter voltage at the valley point. The valley voltage increases with the increase in interbase voltage VBB. Valley Point Current IV The valley point current is the emitter current at the valley point. It increases with the increase in inter-base voltage VBB. 21/01/2020 Stamford University Bangladesh 45 Power ElectronicsEEE 453 Programmable Unijunction Transistor(PUT) The programmable unijunction transistor (PUT) is a small thyristor shown in Figurg a. A PUT can be used as a relaxation oscillator, as shown in Figure b. The gate voltage VG is maintained from the supply by the resistor dividers R1 and R2, and determines the peak point voltage VP. In the case of the UJT, VP is fixed for a device by the dc supply voltage. However, VP of a PUT can be varied by varying the resistor dividers R1 and R2. If the anode voltage VA is less than the gate voltage VG, the device can remain in its off-state. If VA exceeds the gate voltage by one diode forward voltage VD, the peak point is reached and the device turns on. 21/01/2020 Stamford University Bangladesh 46 Power ElectronicsEEE 453
  • 24. 21/01/2020 Programmable Unijunction Transistor(PUT) voltage VD, the peak point is reached and the device turns on. The peak current IP and the valley point current IV both depend on the equivalent impedance on the gate ! ! and the dc supply voltage Vs. In general, Rk is limited to a value below 100. VP is given by " ! ! # Home Work: Example 9.6 21/01/2020 Stamford University Bangladesh 47 Power ElectronicsEEE 453 Diode Rectifiers A rectifier is a circuit that converts an ac signal into a unidirectional signal. A rectifier is a type of ac–dc converter. Performance Parameters: Harmonics: In an electric Power System, a harmonic is a voltage or current at a multiple of the fundamental frequency of the system, produced by the action of non-linear loads such as rectifiers, discharge lighting, or saturated magnetic devices. Ripple: Ripple (specifically ripple voltage) in electronics is the residual periodic variation of the DC voltage within a power supply which has been derived from an alternating current (AC) source. This ripple is due to incomplete suppression of the alternating waveform after rectification. Ripple voltage originates as the output of a rectifier or from generation and commutation of DC power. Ripple (specifically ripple current or surge current) may also refer to the pulsed current consumption of non-linear devices like capacitor-input rectifiers. 21/01/2020 Stamford University Bangladesh 48 Power ElectronicsEEE 453
  • 25. 21/01/2020 Diode Rectifiers The performances of a rectifier are normally evaluated in terms of the following parameters: The average value of the output (load) voltage, Vdc The average value of the output (load) current, Idc The output dc power, $%& %& %& The root-mean-square (rms) value of the output voltage, Vrms The rms value of the output current, Irms The output ac power $'& () () 21/01/2020 Stamford University Bangladesh 49 Power ElectronicsEEE 453 Diode Rectifiers The efficiency (or rectification ratio) of a rectifier, which is a figure of merit and permits us to compare the effectiveness, is defined as * $%& $'& It should be noted that j is not the power efficiency. It is the conversion efficiency which is a measure of the quality of the output waveform. For a pure dc output, the conversion efficiency would be unity. The output voltage can be considered as composed of two components: (1) the dc value and (2) the ac component or ripple. The effective (rms) value of the ac component of output voltage is '& ! () ! %& + 21/01/2020 Stamford University Bangladesh 50 Power ElectronicsEEE 453
  • 26. 21/01/2020 Diode Rectifiers The form factor, which is a measure of the shape of output voltage, is ,, () %& The ripple factor, which is a measure of the ripple content, is defined as , '& %& the ripple factor can be expressed as , ! () ! %& + , -./ 01 ! 1 + = ,,! 1 + 21/01/2020 Stamford University Bangladesh 51 Power ElectronicsEEE 453 Diode Rectifiers The transformer utilization factor is defined as 23, $%& where Vs and Is are the rms voltage and rms current of the transformer secondary, respectively. The input power can be determined approximately by equating input power with the output ac power. That is, the power factor is related by $, $'& Crest factor (CF), which is a measure of the peak input current Is(peak) as compared with its rms value Is, is often of interest to specify the peak current ratings of devices and components. CF of the input current is defined by 4, "5' 21/01/2020 Stamford University Bangladesh 52 Power ElectronicsEEE 453
  • 27. 21/01/2020 Diode Rectifiers 21/01/2020 Stamford University Bangladesh 53 Power ElectronicsEEE 453 Diode Rectifiers Full-wave Rectifier Circuit with a Center-tapped Transformer: A full-wave rectifier circuit with a center-tapped transformer is shown in Figure a. During the positive half-cycle of the input voltage, diode D1 conducts and diode D2 is in a blocking condition. The input voltage appears across the load. During the negative half-cycle of the input voltage, diode D2 conducts while diode D1 is in a blocking condition. The negative portion of the input voltage appears across the load as a positive voltage. The waveform of the output voltage over a complete cycle is shown in Figure b. Because there is no dc current flowing through the transformer, there is no dc saturation problem of transformer core. The average output voltage is %& 2 2 7 )89:;<=< 2 ) ? ! @ 0.6366 ) 21/01/2020 Stamford University Bangladesh 54 Power ElectronicsEEE 453
  • 28. 21/01/2020 Definition of Power Electronics and Applications Power electronics involves the study of electronic circuits intended to control the flow of electrical energy. These circuits handle power flow at levels much higher than the individual device ratings. 21/01/2020 Stamford University Bangladesh 7 Power ElectronicsEEE 453 Classification of Power Electronics Circuits The power electronics circuits can be classified into six types: 1. Diode rectifiers 2. Dc-dc converters(dc choppers) 3. Ac-dc converters(controlled rectifiers) 4. Ac-dc converters(controlled rectifiers) 5. Ac-ac converters(ac voltage controllers) 6. Static switches 21/01/2020 Stamford University Bangladesh 8 Power ElectronicsEEE 453
  • 29. 21/01/2020 Diode Rectifiers 21/01/2020 Stamford University Bangladesh 57 Power ElectronicsEEE 453 Diode Rectifiers 21/01/2020 Stamford University Bangladesh 58 Power ElectronicsEEE 453 Performance Parameters:
  • 30. 21/01/2020 Diode Rectifiers 21/01/2020 Stamford University Bangladesh 59 Power ElectronicsEEE 453 Diode Rectifiers 21/01/2020 Stamford University Bangladesh 60 Power ElectronicsEEE 453
  • 31. 21/01/2020 Diode Rectifiers 21/01/2020 Stamford University Bangladesh 61 Power ElectronicsEEE 453 Diode Rectifiers 21/01/2020 Stamford University Bangladesh 62 Power ElectronicsEEE 453
  • 32. 21/01/2020 Half Wave Rectifiers RL Load 21/01/2020 Stamford University Bangladesh 63 Power ElectronicsEEE 453 Half Wave Rectifiers RL Load 21/01/2020 Stamford University Bangladesh 64 Power ElectronicsEEE 453
  • 33. 21/01/2020 Half Wave Rectifiers RL Load 21/01/2020 Stamford University Bangladesh 65 Power ElectronicsEEE 453 Output Voltage and Current: Half Wave Rectifiers with RL Load and Battery 21/01/2020 Stamford University Bangladesh 66 Power ElectronicsEEE 453
  • 34. 21/01/2020 Half Wave Rectifiers with RL Load and Battery 21/01/2020 Stamford University Bangladesh 67 Power ElectronicsEEE 453 Half Wave Rectifiers with RL Load and Battery 21/01/2020 Stamford University Bangladesh 68 Power ElectronicsEEE 453
  • 35. 21/01/2020 Diode Rectifiers 21/01/2020 Stamford University Bangladesh 69 Power ElectronicsEEE 453 Diode Rectifiers 21/01/2020 Stamford University Bangladesh 70 Power ElectronicsEEE 453
  • 36. 21/01/2020 Diode Rectifiers 21/01/2020 Stamford University Bangladesh 71 Power ElectronicsEEE 453 Diode Rectifiers 21/01/2020 Stamford University Bangladesh 72 Power ElectronicsEEE 453
  • 37. 21/01/2020 Power Diode Characteristics The v-i characteristics show in figure can be expressed by an equation known as Schockley diode equation, and it is given under dc steady-state operation by / 1 Where ID = current through the diode, A; VD = diode voltage with anode positive with respect to cathode, V; IS = leakage (or reverse saturation) current, typically in the range 10-6 to 10-15 A; n = empirical constant known as emission coefficient, or ideality factor, whose value varies from 1 to 2. 21/01/2020 Stamford University Bangladesh 9 Power ElectronicsEEE 453 VT in Eq. is a constant called thermal voltage and it is given by Structure of Power Diode Middle layer of lightly doped n– is known as a drift layer. The thickness of the drift layer depends on the required breakdown voltage. The breakdown voltage increases with an increase in the width of the drift layer. Resistivity of this layer is high because of the low level of doping. If the width of the drift layer increased, then the on-state voltage drop increase therefore power loss is more. The doping level of the drift layer is 1014 cm-3. 21/01/2020 Stamford University Bangladesh 10 Power ElectronicsEEE 453 The operating principle of power diode is same as the conventional PN junction diode. A diode conducts when the anode voltage is higher than the cathode voltage. The forward voltage drop across the diode is very low around 0.5V to 1.2V. In this region, the diode works as a forward characteristic. If the cathode voltage is higher than the anode voltage, then the diode works as blocking mode. In this mode, diode works according to the reverse characteristic.
  • 38. 21/01/2020 Diode Rectifiers 21/01/2020 Stamford University Bangladesh 75 Power ElectronicsEEE 453 Diode Rectifiers 21/01/2020 Stamford University Bangladesh 76 Power ElectronicsEEE 453
  • 39. 21/01/2020 Diode Rectifiers 21/01/2020 Stamford University Bangladesh 77 Power ElectronicsEEE 453