POWER ELECTRONICS
MODULE 2
Explain the significance of freewheeling operation in a semiconverter (KTU JUNE 2022)
Due to inductive load, there will be a flow of load current even after phase reversal i-e.,
after compl is because, due to the large inductive nature of the load, the
g each half cycle.
load current has a tendency to flow continuously by finding an alternative path through the diode
of the same arm of conducting SCR even after phase reversal. Thus there will be no control over
the thyristor once itis triggered as seen in continuous and discontinuous modes,
This problem can be overcome by connecting a diode in parallel with tiYoad{this, dibde is
known as a fly-back diode or freewheeling diode. When there is a s diode acts
as the short-circuit path for inductive load current rather than though the thyristors
Hence the thyristor regains its blocking state once there is a a in the supply.
The free-wheeling diode improves the load curredfwaveform, and increases the input power
factor. It also eliminates the damage of the hehe x the formation of voltage
spikes during the tum-OFF period sa
A.230V, SOHz, 1-pulse SCR eyes isttriggered ata firing angle of 400 and the load
current extinguishes at an angle o ind ecu in oe time, te. (KTU JUNE 2022)
te = (2n-B)/w
te= (2m-120y(2n"50)\._) \
SN
te = (360-210)/(100"180)
te = 150/18000_»
WAN
tc = 0.008333 s
WN
tc = 8.33 ms
;plain the advantage of freewheeling diode in halfwave converter, when the load is inductive in
nature. (KTU JUNE 2023) (Same question repeat (Qn No.1 ))
(i) Output DC voltage is improved
(i) peak to peak output voltage ripple is reduced
(ii) load current waveform is improved
(iv) SCR is protected as FD reduces reverse power flow/reverse voltage.6.
A single phase full bridge converter, connected to 230 V, SOHz. source is feeding a load having
resistance R=10Q with a large inductance that makes the load current ripple free and continuous,
Calculate the average value of load current for a firing angle of 60°. (KTU JUNE 2023)
Output voltage, VO=2V me cosa
= 103.95V
Average load current 10=V0/R =10.39 A
Derive the expression for average output voltage of single phase half-wave-controlj@dectifier
feeding RL load, without freewheeling diode. (KTU MAY 2023(5)) © »)
©
fr. sinar dion \
ad
= (cosa - cos)
an
x .
A thyristor is,cOnnetted in series with a resistance of 100 and an ac supply of 230 V at 50 Hz.
CAmpiie,the average current delivered if the thyristor is triggered at 45° in every positive half-
(RTU MAY 2023(S))
~ Average voltage,
V,
2A +0081
H=(1 +c08a)
= BOL As ont5r
=88.35V
L =VdIR
= 88.35/100
= 0.8835 A!
«Sia
UNIT - I q
PHASECONTROLLEDCONVERTERS
— 1 phase half wave controlled converter with R load
—» 1 phase half and fully controlled converter with R,RL
RLE load
—> 3 phase half wave controlled converter with R load
— 3 phase half controlled converter with RLE load
—> 3 phase fully controlled converter with RLE loadES cn cer er ee oo
PART-B
MODULE ~ II
PHASE CONTROLLED CONVERTERS
ee
—> Phase Controlled Rectifiersare devices which converts
fixed AC to controlled DC power by controlling the phasé
«
angle of SCR. ‘
— Here SCR is used as switching device. Which can b&
«
commutated by the supply phase AC voltage by providing
reverse bias and hence current fallen below holdings
—— <
c
— This type of commutation is called natural or line
current.
commutation. Hence it does not requires extemal
commutation circuits. i
! — Therefore phase controlled rectifiers are simple, les’
‘
expensive and widely used in industries.
—> Some applications of phase converters are given below. _
(
> Steel rolling mills, paper mills, textile mills.
> Electrochemical and electrometallurgical process.» Magnet power supplies.
» Portable hand tool drives.
-—> HVDC transmission.
Classification of Controlled Converter [3 Hews}
1. Input Supply
» Single phase converter
> Three phase converter
2. Quadrant of operation
» Single quadrant converter (Semi-controlled)
» Two quadrant converter-(Fully controlled)
» Four quadrant converter (Dual Converter)
3. Number of Pulses per cycle
» Two pulse converter (1 ® SCC & FCC)
» Three pulse converter (3 ® SCC)
» Six pulse converter (3 ® SCC)SINGLE PHASE SEMI-CONTROLLED CONVERi#:K
eo
(h" (HALF CONTROLLED CONVERTER)
_ — A semi controlled converter uses half number of switche
as SCR which are controllable and the remaining as diode
which are uncontrollable.
— As only half number of switching devices is controllable, 1
is called half controlled or semi controlled converter.
— Itis a two pulse, single quadrant converter.
R=LOAD
@. Kexplacs edoout 1. pase semremliolled convester cotty R lead-O
Construction [= va]
— Figure shows the circui
diagram of semi converter.
ce — It consists of two SCRs, twi
diodes and a resistive load.
— The load voltage and curren
are marked as V, and I,.we ee
Operation
Mode A (a
At ot =1+ a, gate pulse
is given to T2.
— Hence T2 moves to
forward conduction
mode.
— Therefore load is
connected to source.
— The path for load current‘aveform
AK
WwSteady state analysis
— Average output voltage V, is given as
1 p20 .
Vo= So Vm sinot dot
=" Vm sinot dot
rea
= = [-cosat]%
= = [- cos x —(— cos a)]
V.= = [1 + cosa]
— > RMS output voltage-Vims is given as
Vams = = fe Va sinZat dot
=Vn {
ma sinday
2n 4nSS
1 Q: Keaqpléen | about I Phase Senxcovtsolled, Commesten cattle
vollage 1 te yond]
} ew Load. Derive autpul:
Construction
RL—LOAD
+ D1 are forward bias.
«
«
(
«
—— 2
— Figure shows the circuit
diagram of semi converter. ¢
(
— It consists of two SCRs, two
diodes and a RL load. (
— The load inductance is
assumed to be large hence
load current is continuous.
;
‘
— In positive cycle T, an
> At ot = a, gate pulse i
given to T). |
— Hence T; moves t
forward conduction mode.
— Therefore load is nov
connected to source.
7 ¥To
/ Sry Kr,
i sr
| Ove Vo
er ee 3h
Zpp Ady
—
Operation
Mode A (a At ot =12+ a, gate pulse
is given to T>.
=.
— Hence T2, moves to
Vo forward conduction
3 mode.
— Therefore load is
connected to source.
=~ —> The path for load currentWaveformSteady state anal
— Average output voltage V, is given as
_1 20 *
Vo= Ig Vmsinot dot
=f" vmsinot dot
na
= = [-cosat]y
Vi
= = [- cos m—(— cos a)]
Vm
[1 + cosa]
— RMS output voltage Vims is given as
V7 be V2 sin2ot dat
ma , sin2a
fala tio 4n }M@. allustiale the core
Construction
: “wud RUE Node ad darts output vollage eqyat ico
40 disCoulinneny mode 9
“SiGe Pass CA Cael alps
RLE— LOAD [le moans -tery aune 2035)
UST Been Cate
Ade
&
|1. — Figure shows the circuil
diagram of semi converter.
Sr
— It consists of two SCRs, twe
3 diodes and anRLE load. ,
L
— The load inductance ii
assumed to be large henc«
load current is continuous. —
Operation
Mode A (a <@t < 2)
— In positive cycle T, anc
Ty
D2
D1 are forward bias.
— At ot = a, gate pulse i
R given to T;.
— Hence T; moves te
Yo forward conduction mode.
—> Therefore load is noy
a connected to source.
— The path for load current
. PT1—Load—D1— NMode B (x < wt < a+)
—» T, remains in conduction state
Ta
D2
T
To
D1
as firing pulse is not given to
~_T>. Hee
x — But D, is reverse bias and D, is
forward bias.
—+ Hence T, and Dy starts
conducting.
3u
_L, — As two devices from the same
leg starts conducting, supply is
shorted.
— Therefore output voltage will
be zero.
Mode C (x + a <@t <2%)-—-
— In this mode T, and D,
+ are forward bias.
tT
To’
— At ot=2+ a4, gate pulse
is given to T.
— Hence T, moves to
' forward conduction
3h mode.
— Therefore load is
connected to source.
— The path for load current
N-T2—Load—D2—P |WavetormMs en
(A yo)
Steady state analysis
— Average output voltage V, is given as
1 p20 i:
—— ¥, = 5 Vm sint dot a
=1 ("vm sinot dot
na
= = [-cosat]i
-= [- cos x —(— cos a)]
Vi= = [1 + cosa]
SINGLE PHASE FULLY CONTROLLED CONVERTER
Baeplaio about Scrgle —qloase pally Cavtnlled, comvedlen curt
R-Load,atse devine avollage eqzuatico;
SB Noaaks
Grnw - way a4 % wrens}
— Figure shows the circuit
Construction
an T3
= diagram of full converter.
| — It consists of four SCRs and
Ve oe
a resistive load.
— The load voltage and current
are marked as V, and I,.nna : ¢
cut
Operation
Mode A (a In positive cycle T; and Tx
are forward bias. «
i
|
1 Ty T3
=
| vs To R
NTA
| T% 72
A
|
Mode B (x + a <@t< 27)
— At wot = a, gate pulse is
given to T,and T2.
— Hence T,and T, moves to
forward conduction mode. |
‘eo _» Therefore load is now
connected to source. ,
— The path for load current
c
P—T,—-Load—T,—-N
— In this mode T; and Ty ar
forward bias.
Ty 13
!
dy *_f
CON Ipy SR
Nit >
Ta ta)
—> Atot=2+ a, gate puls
.
is given to T; and Ty.
— Hence T; and Ty moves t
forward conductio
Vo mode.
— Therefore load
connected to source.
—> The path for load current
= N>T;—Load—>T,—PWaveformi Steady state analysis
eet
— Average output voltage V, is given as
—1 p20 7
Vo ade Vm sinot dot
=1s" Vm sinat dot
mea
= = [-cosat]=
=" [-cos x—(— cos a)]
Vi= = [1 + cosa]
Q- wit a céacwik diagraa ercplaeo Abe, ecoattérg.
- Ply cangdled base competes ong ee
SE LOAD ve ad Feo
: ; 10 marks —KTO anne 20a
Construction soa4— q wan)
1, —> Figure shows the circu
diagram of full converter.
x > It consists of four SCRs an
a RL load.
3, —> The load inductance j
assumed to be large henc
load current is continuous.Operation
Mode A (a In positive cycle T; and T;
are forward bias. _
— At ot = a, gate-pulse is
given to Tjand T>.
— Hence T,and T, moves to
Vo forward conduction mode.
— Therefore load is now
connected to source.
— The path for load current
Mode B (x + a
7 PT\|—Load—-T,--N
— In this mode T; and T, are
T
K
z
Ir,
To)
12
forward bias.
— At ot =71+ a, gate pulse
is given to T; and Ty.
— Hence T; and Ty, moves to
Vo forward conduction
mode.
— Therefore load is
connected to source.
— The path for load current
N—T3—> Load > Ty PSteady state analysis
Se YSIS
— Average output voltage V, is given as
Vote “vm sinot dot
= eS Vm sinat dat
= m [-cosat]zt+
= " [-cos(x+a) — (— cos a)]
V;
= al cos a + cos a)]
2Vm
V.= = cosa.
— RMS output voltage Vins is given as
Vims = : fr" Va sin2at dot
=V,
Yn
v2Q Explan a Seng
RUE a
Construction
45 Ronee
RLE-LOAD — G raaes -K 10 beey 2003]
a wave Ccantadled bridge aealipes
nS , fp vllage £. cuareob), 2
~—» Figure shows the circuit
¥To z Fl
diagram of semi converter.
Rk —» It consists of two SCRs, two
diodes and anRLE load.
3 — The load inductance is
+e assumed to be large hence
load current is continuous.
~_ Operation
Mode A (a T,—N—> In this mode T; and Ty a
fa * forward bias.
— At ot = 1+ a, gate pul:
3 7 is given to T; and T4.
i L — Hence T; and T, moves |
forward conductic
mode.
ae — Therefore load
connected to source.
I — The path for load current
N-T3—Load—T,—P
Ty @
| Io¥ Vo
NT 3u
[Pa T
Steady state analysis---
aitady state anatysis-
—> Average output voltage V, is given as
—1 20 i
Vo=s Jo) Vmsinat dot
1 :
= s™*" vm sinat dot
Tea
eens eotytte
=—[-cosat]y
Vi
= a [- cos (+a) — (— cos a)]
vi
= =I cos a + cos a)]
2Vm
| V.= — cosa
T!
Waveform (Rectification Mode 0<90")TS
Waveform (Inversion Mode u>90")@-Draco dhe Clacitk dtagram and woe poses 4 Q B- phax ser
Conticlled Converter canta RUE lodh 7 fo mand] Cero mayag
THREE PHASE SEMI-CONTROLLED CONVERTER rats
Construction
— It consists of three_thyristors
T,, Ts, Ts which forms +ve
group and three diodes D,, D2,
i. D; which forms -ve group.
— Positive group thyristors will
turned on when supply voltage
is +ve and gate pulse is given
7s to it.
— Negative group diodes will turned on automatically when
supply voltage is negative. TE i
—> The load inductance is assumed to be large hence load
current is continuous.
Operation
— The circuit operation may explain in six modes for a=0.
Mode A (30° < @t < 90")
— At wt = 30°, voltage of phase R and B are equally positive
i.e line voltage Vp-p or Vp.p is zero.— After this instant, phase R becomes more positive wher
compared to other phases and hence SCR T; moves tc
forward blocking mode. oe
> Therefore T, start conducting when a gate pulse is given tc
it.During this interval, phase Y is more negative and hence
the return path is provided by diodeD2.
— The load current path is given as
R-T, > Load > D, > Y
Mode B (90° < at < 150°)
— During this interval phase R remains more positive anc
hence T; remains in conduction.
-— Now phase B is more negative and hence diode D; wil
start conducting and it provides the return path.
— Path for the load current is given by
R-—T, — Load > D; >BMode C (150" < wt < 210")
— During this interval phase Y becomes more positive and
hence T; becomes forward biased and when a gate pulse is
given, it starts conducting.
— As phase B remains more negative, the return path is
provided by D3.
— Path for the load current is given as
Y — T, — Load > D3; > B
Mode D (210° < wt < 270")
— During this interval phase Y remains more positive and
hence T; remains in conduction.
—> Now phase R is more negative and hence diode D, will
start conducting and it provides the return path.
— Path for the load current is given as
Y —>T)— Load— Di > RMode E ( 270" < @t < 330")
—— OS)
— During this interval phase B becomes more positive an
hence T3 becomes forward biased and when a gate pulse
given, it starts conducting.
provided by D,.
— Path for the load current is given as
— During this interval phase B remains. more positive an
hence T; remains in conduction.
— Now phase Y is more negative and hence diode D) wi
start conducting and it provides the return path.
— Path for the load current is given as
B — T;3 — Load > D, — Y
i
|
|
!
— As phase R remains more negative,’ the return path |Porn aerenenes[Sis We cial ageing Spoaw poly Coble coats
| Git RLE load Derive beget ation 9 Geae xo une 205)
— CONTROLLED CONV ERLE!
Construction
— It consists of six thyristor, whe
"Ty, Ts, Ts forms +ve group and 1
T4, Ts forms -ve group.
— Positive group thyristor are turn¢
on when supply voltage is +ve ar
negative group are turned on whe
supply is —ve.
— Each thyristor in the positive and negative group conduct
! for a period of 120 degree.
— It is mainly used for large power drives, wher
i
| regeneration of power is required.
| — The load inductance is assumed to be large hence loa
| gi
qj
current is continuous.
Operation
— The circuit operation may explain in six modes.Mode A ( 30" < @t < 90")
— At wt = 30°, voltage of phase R and B are equally positive
i.e line voltage Vapor Vpris zero.
> After this instant, phase R becomes more positive when
compared to other phases and hence SCR T, moves to
forward blocking mode.
— Therefore T, start conducting when a gate pulse is given to
it.During this interval, phase Y is more negative and hence
the return path is provided by SCR Tg.
—> The load current path is given as
R-—T, — Load > T5 — Y
Mode B (90° < at < 150°)
— During this interval phase R remains more positive and
hence T, remains in conduction.
— Now phase B is more negative and hence when a gate
pulse is given to T;, it provides the return path.
— Path for the load current is given byR-T, > Load > T, > B
Mode C ( 150" < wt < 210")
|=» During this interval phase Y becomes more positive an
- hence T; becomes forward biased and when a gate pulse
given, it starts conducting.
— As phase B remains more negative, the return path 1
provided by T, and it continues to conduct.
— Path for the load current is given as
Y —T; — Load > T,; —> B
Mode D ( 210° < wt < 270")
— During this interval phase Y remains more positive an
hence T; remains in conduction.
— Now phase R is more negative and hence when a gat
pulse is given to T,, it provides the return path.
— Path for the load current is given as
Y —>T,:— Load > Ti > RMode E ( 270" < wt $330")
— During this interval phase B becomes more positive and
hence T; becorfies forward biased and when a gate pulse is
given, it starts conducting.
— As phase R remains more negative, the return path is
provided by T, and it continues to conduct.
— Path for the load current is given as
Mode F (330° < @t < 390")
—» During this interval phase B remains more_positive and
hence T; remains in conduction. :
— Now phase Y is more negative and hence when a gate
pulse is given to Tg, it provides the return path.
‘> Path for the load current is given as
B-T; — Load > T; > Y[to ae ree