Exersice 1. Single phase load&compensation · 2013-11-26 · impedance of the transformer referred...
Transcript of Exersice 1. Single phase load&compensation · 2013-11-26 · impedance of the transformer referred...
Exersice 1 Single phase loadampcompensation
Two loads z1 = 100 and z2 = 10+j20 are connected across a 200 V rms 50 Hz source as shown in
figure
a Find real reactive powers and power factor at the source find total current through the circuit
b Find the capacitance of the capacitor across the loads to improve the overall power factor to 08
lagging
Exersice 2 Power and current calculations balanced and unbalanced systems
In the system given below find Ia Ib Ic and apparent power supplied by the source if
a za = zb = zc = j 10
b za = zb = j10 and zc = j 09 (znnrsquo = j01 )
Exersice 3 3-phase loads
A three-phase line has an impedance of 2+j4 The balanced line feeds two balanced load The first
load is Y connected and has an impedance of 30+j40 The second load is connected and has an
impedance of 60-j45 The line is energized by a three-phase supply having a voltage of 20785 V
Taking voltage of phase ldquoardquo as the reference determine
a The current through reactive and active powers from the supply
n
10+j20 100
I
za 10
j 01
j 01
j 01
1120
1-120
j 01
zc
zb
arsquo
brsquo crsquo
nrsquo
a
b c
Ia
Ib
Ic
b The line voltage at which the loads are connected
c The current per phase through each load
d The total active and reactive powers in each load and the line
e Power factor of combined loads
Exersice 4 Ideal single phase two winding transformer
A single-phase two winding transformer is rated at 20 kVA 480120 V 50 Hz A source connected to the
480 V winding supplies an impedance load connected to the 120 V winding The load absorbs 15 kVA at
08 power factor lagging when the load voltage is 118 V Assume that the transformer is ideal and
calculate
a The voltage across the 480 V winding
b The load impedance
c The load impedance transformed to the 480 V winding
d The real and reactive power supplied to the 480 V winding
(Exersices 5 to 9 are taken from ldquoPower System Analysis amp Design SI Versionrdquo J Duncan Glover Mulukutla
S Sarma and Thomas Overbye Publisher Cengage Learning 2012 Cengage Learning Edition 5th Revised
edition ISBN-10 1111425795 ISBN-13 9781111425791)
Exersice 5 Transformer short circuit and open circuit tests
A single-phase two winding transformer is rated at 20 kVA 480120 V 50 Hz
During a short circuit test where rated frequency is applied to the 480 V winding (winding 1) with the
120 V winding (winding 2) shorted the following readings are obtained V1 = 35 V P1 = 300 W During an
open circuit test where rated voltage is applied to the winding 2 with winding 1 is open the following
readings are obtained I2 = 12 A P2 = 200 W
30+j40
30+j40
30+j40
60-j45
2+j4
2+j4
2+j4
60-j45
60-j45 VL= 20785 V
a From the short circuit test determine the equivalent series impedance Zeq1 referred to the
winding 1 Neglect the shunt admittance
b From the open circuit test determine the values of shunt elements Referred to winding 1
Neglect the series impedance
Exersice 6 Per unit impedance single phase transformer
A single-phase two winding transformer is rated at 20 kVA 480120 V 50 Hz The equivalent leakage
impedance of the transformer referred to the 120 V winding (winding 2)is Zeq2 = 005257813 Using
the transformer ratings as base values determine the per unit leakage impedance referred to winding 2
and winding 1
Exersice 7 Per unit circuit three zone single phase network
Three zones of a single-phase circuit are identified in Figure The zones are connected by transformers T1 and T2 whose ratings are also shown Using base values of 30 kVA and 240 volts in zone 1 draw the per-unit circuit and determine the per-unit impedances and the per-unit source voltage Then calculate the load current both in per-unit and in amperes Transformer winding resistances and shunt admittance branches are neglected
Exersice 8 Per unit and actual currents in balanced three phase network
A balanced Y-connected voltage source with V = 480 0 volts is applied to a balanced load with
Zload = 3040 The line impedance between the source and load is Zline = 185 for each phase
Calculate the per-unit and actual current in phase a of the line using Sbase3 = 10 kVA and VbaseLL = 480 volts
Exersice 9 Voltage calculations balanced Y-Y and -Y connection Three single-phase two-winding transformers each rated 400 MVA 1381992 kV with leakage reactance Xeq = 010 per unit are connected to form a three-phase bank Winding resistances and exciting current are neglected The high-voltage windings are connected in Y A three-phase load operating under balanced positive-sequence conditions on the high-voltage side absorbs 1000 MVA at 090 pf lagging with VAN = 1992 kV Determine the voltage Van at the low-voltage bus if the low-voltage windings are connected
a in Y
b in
V1( 4 0 -=- - -Vz- 120
0 V2 == ~~ V lrcfefeACe)
V1 cmiddot 12 ~ 4-118 = lft2-L Dmiddot
-l 1 2 12112 L-Mmiddot5Sr ( nCgtvc+-ie )
-- -t12s ~ - o9 2~3 ( 36 8~ 0 Q
1 2-1-12 L-3poundamp1- 0 shy
2 l =- ~ ) 1 t=-loacl r_fJ lJ-2 CO 9 z~Ss L3b lrr ) Cbull loOd = c -z-lod Nz
I 2-b(Ad =- 14--~S L3b 810 SL
J $-1 S2 =- 5000 L3G ltis 1- = 12-00 -+ J9000
1 t f ~ uJ vAr
20lD 3
_ 41 661- A (A I =~e~
Ltlt6 0VCA1ed
-
Xe ~ ce11 _ rLe1L =0 ~2-2 f2shy
~4 _Y1_ rro-eJ
Po -==shy 200W
1152 -iZ
(tore loss) 1
3amp0 _ ~ ~ =- ~ ~ Po 200
1 v~ lampoL _ -
r2c 1152
~ Lj~0 - j -1 b ~ 5 b -L
2 91
--Zlif 211middot50
2shy _ J~e 1201
pound_JaQ(se 2 - 2 - = 0 1-2- J2 S bOISE 2010 3
per -lJl+ leCAIpoundCje ~fVpe ~tc e 2 r lA) - 2eq 2 0 0 5 L S L1-8 1~ 0 0 ot 2 C1 L-=t 8 13
0
eqz --t - - -=- J f V
2 bose 2 Omiddott 2
(r-cf~rrecl -0 wilctAI9 2
2 - Vootse1
~ loose
per-lAlr+- l-ealLo3E Nfe~fce
~1 (pV teCj1 _ Of 1-i5j3deg -= 00+29 1+6 1t 11 middot52
- We clAos-e ~ loose b l~es os 0t-1(9 Joltamp-~s of +--e ~fstorVI ershy
--
--
-- --12DVrDt1edZ
Vl Vz
N1 x V6otse 2 VbOtSe 2 N2
SbOse bose 2
middot vJ~ O~ ore CDMfOle+ ~~ cOMlclered we use fIlNltefb+-e
fOt1(3S OS bCSE vOuts
W~ severOI compone(1s orp i(lVD Jed i-Vle S8sreM base
vOtues ~j be clAfferw+ floM the VepLote rcx-Hr9S
~ (Egt0VEiCT ptA VoJJJes fom Its MYYgtEf tote roHIl9S i-c-l-he
Sjs+eM Ioose I
So~+iol
-
L I 2shy middot3 o
Vs =-2202
rB---3 I I~ xIle=Zfl -~-----lt
clood O9kJO2 Q3 (
(~~ - T2 -shy-- Ttl
2o~vA30~vA 4bO115 24D49O V )lt9 ~O1 ptA)lt~ = 0 pA
l eec IS (EBlec+ed)
D Iv cle lAe
reg 1le-i-erV e ~e voLve ( eOtC~ =2L)(e
S = 30 iL vA (fer ~re fie+vJu k ) b~e
3ofe1
VbGSe 1 == 24D V
i + ~e2
2lt0 (~80 ) -=- q80 V Vbosez 2-qo
3D IDsS60Seurobase3 -250 A V6CSe3 120
shy
I
- -
CegtcA O+e fE -Vftt r()pedovlce~
for T t1 ~ bse vOLues =rotrltjS bf ~e T 1
~ feq = KT1 -pA
t=o euro ~
1-- (e 2shy~Ife pLA - - - = 0 2 b 04 pe r v(Ii
z6(XSe2 1 middot b~
~ ~lDOd o ~+J 0 24-0 tOCXd ~ ~hXA~ pIA - - =18tS+j O 416-=J- pL
-tbOlSe 5 0 middot48
t-O( sOlK (euro ~ iPV shy
--~------------------------~eC pft j lD-1+0 2604 +O 13=i8~O 4 1pound t ) +1 gi-5
_ o 91pound1- LJL -= o - 3 g 1-26010 208~ f 2bO to
TI _I II _J TI_~ _ --(C)1395-26 010) 2bO - OCia = OQCiPlA - -~e 6 - -
~ cleO -ttofStOMel U)i()ciA(9S ~~ loeeA ciiMffOted b~
p roper ~elec+fDn of bOse JClues
v=- VLA CDnnect-ed V==-VLL~~~480LZ V
LoOd ~ ()flfeurocteci z =- 2-6 ~ 30 (400 J2
Z Irfe =1 25 0 SL I 1 __
- PVIVISe
Vbotsf2L
Vbose =- Yis 0 (llne +0 III(e )
-SbOlse
LoOd
6 CD(()ec+eJ -----~ convert +0 ) 2- 2-d a
3- 10 40_ nA =
6 ItIeuro _ 1 I 85 i) _ ltgt
=0 043 40 186 re lAnt~6se 23 04
10 L 400 =0 434 40 C)
fee- v(1shy2 3 Dtt
tn or clec- to do +lAe colClAOIt-Ivf D(le-pkO(se equIvotleuroltl
WE So~D LA Qj AS e LIle +e (leLA+-rod va H-0I3e
--v
-3DVw ( lp)
VLN -Vp =shypA f 1A Vbase LN Vbotse LLshy
~
( Vboseurop)
I PlA =
1 L -~ )
----- -- shy(0 003=r8 -+j 00 ~3Z3) +lD33 25 +JD 213)
1 L-30deg
IbOlSe =- S b~-e -V3 VbOSeurogt
LL Vbose~ p
Ac~ cvrr-Bl+ middot
I = (2 -1 -lt 1-1-3 ~o ) 12 03 =- 2 ) 8- S L-1~ ~8 A0-1
~ro~lA +-IAeuro ine
L tre wrre(1+ r G )
~kose vwrern-)
-- shy
L-I---shyfh-- -iAe - lood
Phas~ ~kr+ til 6-) TrOVsrorJYlers
Y -6 co(ectio
Posifle 01 n I M09lnO(_j
fleA -01
pDV1shy
I
I bull
I I
() I ~ -I=------~ b
s se UClti ~1ie5 01 1811 vO ~e ~e fS eod fD) err Lorres rJ
o
ovJ vO -oje sId Q 0) - 30middot
I I
0
cc
~9ort- veCjUOI(htes se9 middot 0( i-lAe hi~ vol+qcf side is ~f Ij ~lt-el( (or-epciA8 qlAClhtiHes 0( +lAe low vi)tof dele a~ 30middot
+30
Ie V1
Vo)+oge cklAations
amplanceal (f ~ (j( Tr I
~~I2 j)1 p ~
l-L- =19921 ()D1Yfwgtse+D Neulro
s~ f Vp I -tor
I S 1200~1 ~ 2 008 iLA
3 VPhP 3 34 5 flV no c -ke lAf S
100 D
-(3 645 =--t-lcosO )) J12 shyftA -~S ~$ o+ed wrret1
2 middot008 for middottrcvsfDr(Yer
[ ~ +o1Le t+ os Ie CAS e
a Y -( -t
=1+ ~ O 08B3t25~4middot 1D3b3-+joo1gtO
~ 1 0 33 4 139 0 fe( lA( +
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3
b The line voltage at which the loads are connected
c The current per phase through each load
d The total active and reactive powers in each load and the line
e Power factor of combined loads
Exersice 4 Ideal single phase two winding transformer
A single-phase two winding transformer is rated at 20 kVA 480120 V 50 Hz A source connected to the
480 V winding supplies an impedance load connected to the 120 V winding The load absorbs 15 kVA at
08 power factor lagging when the load voltage is 118 V Assume that the transformer is ideal and
calculate
a The voltage across the 480 V winding
b The load impedance
c The load impedance transformed to the 480 V winding
d The real and reactive power supplied to the 480 V winding
(Exersices 5 to 9 are taken from ldquoPower System Analysis amp Design SI Versionrdquo J Duncan Glover Mulukutla
S Sarma and Thomas Overbye Publisher Cengage Learning 2012 Cengage Learning Edition 5th Revised
edition ISBN-10 1111425795 ISBN-13 9781111425791)
Exersice 5 Transformer short circuit and open circuit tests
A single-phase two winding transformer is rated at 20 kVA 480120 V 50 Hz
During a short circuit test where rated frequency is applied to the 480 V winding (winding 1) with the
120 V winding (winding 2) shorted the following readings are obtained V1 = 35 V P1 = 300 W During an
open circuit test where rated voltage is applied to the winding 2 with winding 1 is open the following
readings are obtained I2 = 12 A P2 = 200 W
30+j40
30+j40
30+j40
60-j45
2+j4
2+j4
2+j4
60-j45
60-j45 VL= 20785 V
a From the short circuit test determine the equivalent series impedance Zeq1 referred to the
winding 1 Neglect the shunt admittance
b From the open circuit test determine the values of shunt elements Referred to winding 1
Neglect the series impedance
Exersice 6 Per unit impedance single phase transformer
A single-phase two winding transformer is rated at 20 kVA 480120 V 50 Hz The equivalent leakage
impedance of the transformer referred to the 120 V winding (winding 2)is Zeq2 = 005257813 Using
the transformer ratings as base values determine the per unit leakage impedance referred to winding 2
and winding 1
Exersice 7 Per unit circuit three zone single phase network
Three zones of a single-phase circuit are identified in Figure The zones are connected by transformers T1 and T2 whose ratings are also shown Using base values of 30 kVA and 240 volts in zone 1 draw the per-unit circuit and determine the per-unit impedances and the per-unit source voltage Then calculate the load current both in per-unit and in amperes Transformer winding resistances and shunt admittance branches are neglected
Exersice 8 Per unit and actual currents in balanced three phase network
A balanced Y-connected voltage source with V = 480 0 volts is applied to a balanced load with
Zload = 3040 The line impedance between the source and load is Zline = 185 for each phase
Calculate the per-unit and actual current in phase a of the line using Sbase3 = 10 kVA and VbaseLL = 480 volts
Exersice 9 Voltage calculations balanced Y-Y and -Y connection Three single-phase two-winding transformers each rated 400 MVA 1381992 kV with leakage reactance Xeq = 010 per unit are connected to form a three-phase bank Winding resistances and exciting current are neglected The high-voltage windings are connected in Y A three-phase load operating under balanced positive-sequence conditions on the high-voltage side absorbs 1000 MVA at 090 pf lagging with VAN = 1992 kV Determine the voltage Van at the low-voltage bus if the low-voltage windings are connected
a in Y
b in
V1( 4 0 -=- - -Vz- 120
0 V2 == ~~ V lrcfefeACe)
V1 cmiddot 12 ~ 4-118 = lft2-L Dmiddot
-l 1 2 12112 L-Mmiddot5Sr ( nCgtvc+-ie )
-- -t12s ~ - o9 2~3 ( 36 8~ 0 Q
1 2-1-12 L-3poundamp1- 0 shy
2 l =- ~ ) 1 t=-loacl r_fJ lJ-2 CO 9 z~Ss L3b lrr ) Cbull loOd = c -z-lod Nz
I 2-b(Ad =- 14--~S L3b 810 SL
J $-1 S2 =- 5000 L3G ltis 1- = 12-00 -+ J9000
1 t f ~ uJ vAr
20lD 3
_ 41 661- A (A I =~e~
Ltlt6 0VCA1ed
-
Xe ~ ce11 _ rLe1L =0 ~2-2 f2shy
~4 _Y1_ rro-eJ
Po -==shy 200W
1152 -iZ
(tore loss) 1
3amp0 _ ~ ~ =- ~ ~ Po 200
1 v~ lampoL _ -
r2c 1152
~ Lj~0 - j -1 b ~ 5 b -L
2 91
--Zlif 211middot50
2shy _ J~e 1201
pound_JaQ(se 2 - 2 - = 0 1-2- J2 S bOISE 2010 3
per -lJl+ leCAIpoundCje ~fVpe ~tc e 2 r lA) - 2eq 2 0 0 5 L S L1-8 1~ 0 0 ot 2 C1 L-=t 8 13
0
eqz --t - - -=- J f V
2 bose 2 Omiddott 2
(r-cf~rrecl -0 wilctAI9 2
2 - Vootse1
~ loose
per-lAlr+- l-ealLo3E Nfe~fce
~1 (pV teCj1 _ Of 1-i5j3deg -= 00+29 1+6 1t 11 middot52
- We clAos-e ~ loose b l~es os 0t-1(9 Joltamp-~s of +--e ~fstorVI ershy
--
--
-- --12DVrDt1edZ
Vl Vz
N1 x V6otse 2 VbOtSe 2 N2
SbOse bose 2
middot vJ~ O~ ore CDMfOle+ ~~ cOMlclered we use fIlNltefb+-e
fOt1(3S OS bCSE vOuts
W~ severOI compone(1s orp i(lVD Jed i-Vle S8sreM base
vOtues ~j be clAfferw+ floM the VepLote rcx-Hr9S
~ (Egt0VEiCT ptA VoJJJes fom Its MYYgtEf tote roHIl9S i-c-l-he
Sjs+eM Ioose I
So~+iol
-
L I 2shy middot3 o
Vs =-2202
rB---3 I I~ xIle=Zfl -~-----lt
clood O9kJO2 Q3 (
(~~ - T2 -shy-- Ttl
2o~vA30~vA 4bO115 24D49O V )lt9 ~O1 ptA)lt~ = 0 pA
l eec IS (EBlec+ed)
D Iv cle lAe
reg 1le-i-erV e ~e voLve ( eOtC~ =2L)(e
S = 30 iL vA (fer ~re fie+vJu k ) b~e
3ofe1
VbGSe 1 == 24D V
i + ~e2
2lt0 (~80 ) -=- q80 V Vbosez 2-qo
3D IDsS60Seurobase3 -250 A V6CSe3 120
shy
I
- -
CegtcA O+e fE -Vftt r()pedovlce~
for T t1 ~ bse vOLues =rotrltjS bf ~e T 1
~ feq = KT1 -pA
t=o euro ~
1-- (e 2shy~Ife pLA - - - = 0 2 b 04 pe r v(Ii
z6(XSe2 1 middot b~
~ ~lDOd o ~+J 0 24-0 tOCXd ~ ~hXA~ pIA - - =18tS+j O 416-=J- pL
-tbOlSe 5 0 middot48
t-O( sOlK (euro ~ iPV shy
--~------------------------~eC pft j lD-1+0 2604 +O 13=i8~O 4 1pound t ) +1 gi-5
_ o 91pound1- LJL -= o - 3 g 1-26010 208~ f 2bO to
TI _I II _J TI_~ _ --(C)1395-26 010) 2bO - OCia = OQCiPlA - -~e 6 - -
~ cleO -ttofStOMel U)i()ciA(9S ~~ loeeA ciiMffOted b~
p roper ~elec+fDn of bOse JClues
v=- VLA CDnnect-ed V==-VLL~~~480LZ V
LoOd ~ ()flfeurocteci z =- 2-6 ~ 30 (400 J2
Z Irfe =1 25 0 SL I 1 __
- PVIVISe
Vbotsf2L
Vbose =- Yis 0 (llne +0 III(e )
-SbOlse
LoOd
6 CD(()ec+eJ -----~ convert +0 ) 2- 2-d a
3- 10 40_ nA =
6 ItIeuro _ 1 I 85 i) _ ltgt
=0 043 40 186 re lAnt~6se 23 04
10 L 400 =0 434 40 C)
fee- v(1shy2 3 Dtt
tn or clec- to do +lAe colClAOIt-Ivf D(le-pkO(se equIvotleuroltl
WE So~D LA Qj AS e LIle +e (leLA+-rod va H-0I3e
--v
-3DVw ( lp)
VLN -Vp =shypA f 1A Vbase LN Vbotse LLshy
~
( Vboseurop)
I PlA =
1 L -~ )
----- -- shy(0 003=r8 -+j 00 ~3Z3) +lD33 25 +JD 213)
1 L-30deg
IbOlSe =- S b~-e -V3 VbOSeurogt
LL Vbose~ p
Ac~ cvrr-Bl+ middot
I = (2 -1 -lt 1-1-3 ~o ) 12 03 =- 2 ) 8- S L-1~ ~8 A0-1
~ro~lA +-IAeuro ine
L tre wrre(1+ r G )
~kose vwrern-)
-- shy
L-I---shyfh-- -iAe - lood
Phas~ ~kr+ til 6-) TrOVsrorJYlers
Y -6 co(ectio
Posifle 01 n I M09lnO(_j
fleA -01
pDV1shy
I
I bull
I I
() I ~ -I=------~ b
s se UClti ~1ie5 01 1811 vO ~e ~e fS eod fD) err Lorres rJ
o
ovJ vO -oje sId Q 0) - 30middot
I I
0
cc
~9ort- veCjUOI(htes se9 middot 0( i-lAe hi~ vol+qcf side is ~f Ij ~lt-el( (or-epciA8 qlAClhtiHes 0( +lAe low vi)tof dele a~ 30middot
+30
Ie V1
Vo)+oge cklAations
amplanceal (f ~ (j( Tr I
~~I2 j)1 p ~
l-L- =19921 ()D1Yfwgtse+D Neulro
s~ f Vp I -tor
I S 1200~1 ~ 2 008 iLA
3 VPhP 3 34 5 flV no c -ke lAf S
100 D
-(3 645 =--t-lcosO )) J12 shyftA -~S ~$ o+ed wrret1
2 middot008 for middottrcvsfDr(Yer
[ ~ +o1Le t+ os Ie CAS e
a Y -( -t
=1+ ~ O 08B3t25~4middot 1D3b3-+joo1gtO
~ 1 0 33 4 139 0 fe( lA( +
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3
a From the short circuit test determine the equivalent series impedance Zeq1 referred to the
winding 1 Neglect the shunt admittance
b From the open circuit test determine the values of shunt elements Referred to winding 1
Neglect the series impedance
Exersice 6 Per unit impedance single phase transformer
A single-phase two winding transformer is rated at 20 kVA 480120 V 50 Hz The equivalent leakage
impedance of the transformer referred to the 120 V winding (winding 2)is Zeq2 = 005257813 Using
the transformer ratings as base values determine the per unit leakage impedance referred to winding 2
and winding 1
Exersice 7 Per unit circuit three zone single phase network
Three zones of a single-phase circuit are identified in Figure The zones are connected by transformers T1 and T2 whose ratings are also shown Using base values of 30 kVA and 240 volts in zone 1 draw the per-unit circuit and determine the per-unit impedances and the per-unit source voltage Then calculate the load current both in per-unit and in amperes Transformer winding resistances and shunt admittance branches are neglected
Exersice 8 Per unit and actual currents in balanced three phase network
A balanced Y-connected voltage source with V = 480 0 volts is applied to a balanced load with
Zload = 3040 The line impedance between the source and load is Zline = 185 for each phase
Calculate the per-unit and actual current in phase a of the line using Sbase3 = 10 kVA and VbaseLL = 480 volts
Exersice 9 Voltage calculations balanced Y-Y and -Y connection Three single-phase two-winding transformers each rated 400 MVA 1381992 kV with leakage reactance Xeq = 010 per unit are connected to form a three-phase bank Winding resistances and exciting current are neglected The high-voltage windings are connected in Y A three-phase load operating under balanced positive-sequence conditions on the high-voltage side absorbs 1000 MVA at 090 pf lagging with VAN = 1992 kV Determine the voltage Van at the low-voltage bus if the low-voltage windings are connected
a in Y
b in
V1( 4 0 -=- - -Vz- 120
0 V2 == ~~ V lrcfefeACe)
V1 cmiddot 12 ~ 4-118 = lft2-L Dmiddot
-l 1 2 12112 L-Mmiddot5Sr ( nCgtvc+-ie )
-- -t12s ~ - o9 2~3 ( 36 8~ 0 Q
1 2-1-12 L-3poundamp1- 0 shy
2 l =- ~ ) 1 t=-loacl r_fJ lJ-2 CO 9 z~Ss L3b lrr ) Cbull loOd = c -z-lod Nz
I 2-b(Ad =- 14--~S L3b 810 SL
J $-1 S2 =- 5000 L3G ltis 1- = 12-00 -+ J9000
1 t f ~ uJ vAr
20lD 3
_ 41 661- A (A I =~e~
Ltlt6 0VCA1ed
-
Xe ~ ce11 _ rLe1L =0 ~2-2 f2shy
~4 _Y1_ rro-eJ
Po -==shy 200W
1152 -iZ
(tore loss) 1
3amp0 _ ~ ~ =- ~ ~ Po 200
1 v~ lampoL _ -
r2c 1152
~ Lj~0 - j -1 b ~ 5 b -L
2 91
--Zlif 211middot50
2shy _ J~e 1201
pound_JaQ(se 2 - 2 - = 0 1-2- J2 S bOISE 2010 3
per -lJl+ leCAIpoundCje ~fVpe ~tc e 2 r lA) - 2eq 2 0 0 5 L S L1-8 1~ 0 0 ot 2 C1 L-=t 8 13
0
eqz --t - - -=- J f V
2 bose 2 Omiddott 2
(r-cf~rrecl -0 wilctAI9 2
2 - Vootse1
~ loose
per-lAlr+- l-ealLo3E Nfe~fce
~1 (pV teCj1 _ Of 1-i5j3deg -= 00+29 1+6 1t 11 middot52
- We clAos-e ~ loose b l~es os 0t-1(9 Joltamp-~s of +--e ~fstorVI ershy
--
--
-- --12DVrDt1edZ
Vl Vz
N1 x V6otse 2 VbOtSe 2 N2
SbOse bose 2
middot vJ~ O~ ore CDMfOle+ ~~ cOMlclered we use fIlNltefb+-e
fOt1(3S OS bCSE vOuts
W~ severOI compone(1s orp i(lVD Jed i-Vle S8sreM base
vOtues ~j be clAfferw+ floM the VepLote rcx-Hr9S
~ (Egt0VEiCT ptA VoJJJes fom Its MYYgtEf tote roHIl9S i-c-l-he
Sjs+eM Ioose I
So~+iol
-
L I 2shy middot3 o
Vs =-2202
rB---3 I I~ xIle=Zfl -~-----lt
clood O9kJO2 Q3 (
(~~ - T2 -shy-- Ttl
2o~vA30~vA 4bO115 24D49O V )lt9 ~O1 ptA)lt~ = 0 pA
l eec IS (EBlec+ed)
D Iv cle lAe
reg 1le-i-erV e ~e voLve ( eOtC~ =2L)(e
S = 30 iL vA (fer ~re fie+vJu k ) b~e
3ofe1
VbGSe 1 == 24D V
i + ~e2
2lt0 (~80 ) -=- q80 V Vbosez 2-qo
3D IDsS60Seurobase3 -250 A V6CSe3 120
shy
I
- -
CegtcA O+e fE -Vftt r()pedovlce~
for T t1 ~ bse vOLues =rotrltjS bf ~e T 1
~ feq = KT1 -pA
t=o euro ~
1-- (e 2shy~Ife pLA - - - = 0 2 b 04 pe r v(Ii
z6(XSe2 1 middot b~
~ ~lDOd o ~+J 0 24-0 tOCXd ~ ~hXA~ pIA - - =18tS+j O 416-=J- pL
-tbOlSe 5 0 middot48
t-O( sOlK (euro ~ iPV shy
--~------------------------~eC pft j lD-1+0 2604 +O 13=i8~O 4 1pound t ) +1 gi-5
_ o 91pound1- LJL -= o - 3 g 1-26010 208~ f 2bO to
TI _I II _J TI_~ _ --(C)1395-26 010) 2bO - OCia = OQCiPlA - -~e 6 - -
~ cleO -ttofStOMel U)i()ciA(9S ~~ loeeA ciiMffOted b~
p roper ~elec+fDn of bOse JClues
v=- VLA CDnnect-ed V==-VLL~~~480LZ V
LoOd ~ ()flfeurocteci z =- 2-6 ~ 30 (400 J2
Z Irfe =1 25 0 SL I 1 __
- PVIVISe
Vbotsf2L
Vbose =- Yis 0 (llne +0 III(e )
-SbOlse
LoOd
6 CD(()ec+eJ -----~ convert +0 ) 2- 2-d a
3- 10 40_ nA =
6 ItIeuro _ 1 I 85 i) _ ltgt
=0 043 40 186 re lAnt~6se 23 04
10 L 400 =0 434 40 C)
fee- v(1shy2 3 Dtt
tn or clec- to do +lAe colClAOIt-Ivf D(le-pkO(se equIvotleuroltl
WE So~D LA Qj AS e LIle +e (leLA+-rod va H-0I3e
--v
-3DVw ( lp)
VLN -Vp =shypA f 1A Vbase LN Vbotse LLshy
~
( Vboseurop)
I PlA =
1 L -~ )
----- -- shy(0 003=r8 -+j 00 ~3Z3) +lD33 25 +JD 213)
1 L-30deg
IbOlSe =- S b~-e -V3 VbOSeurogt
LL Vbose~ p
Ac~ cvrr-Bl+ middot
I = (2 -1 -lt 1-1-3 ~o ) 12 03 =- 2 ) 8- S L-1~ ~8 A0-1
~ro~lA +-IAeuro ine
L tre wrre(1+ r G )
~kose vwrern-)
-- shy
L-I---shyfh-- -iAe - lood
Phas~ ~kr+ til 6-) TrOVsrorJYlers
Y -6 co(ectio
Posifle 01 n I M09lnO(_j
fleA -01
pDV1shy
I
I bull
I I
() I ~ -I=------~ b
s se UClti ~1ie5 01 1811 vO ~e ~e fS eod fD) err Lorres rJ
o
ovJ vO -oje sId Q 0) - 30middot
I I
0
cc
~9ort- veCjUOI(htes se9 middot 0( i-lAe hi~ vol+qcf side is ~f Ij ~lt-el( (or-epciA8 qlAClhtiHes 0( +lAe low vi)tof dele a~ 30middot
+30
Ie V1
Vo)+oge cklAations
amplanceal (f ~ (j( Tr I
~~I2 j)1 p ~
l-L- =19921 ()D1Yfwgtse+D Neulro
s~ f Vp I -tor
I S 1200~1 ~ 2 008 iLA
3 VPhP 3 34 5 flV no c -ke lAf S
100 D
-(3 645 =--t-lcosO )) J12 shyftA -~S ~$ o+ed wrret1
2 middot008 for middottrcvsfDr(Yer
[ ~ +o1Le t+ os Ie CAS e
a Y -( -t
=1+ ~ O 08B3t25~4middot 1D3b3-+joo1gtO
~ 1 0 33 4 139 0 fe( lA( +
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3
V1( 4 0 -=- - -Vz- 120
0 V2 == ~~ V lrcfefeACe)
V1 cmiddot 12 ~ 4-118 = lft2-L Dmiddot
-l 1 2 12112 L-Mmiddot5Sr ( nCgtvc+-ie )
-- -t12s ~ - o9 2~3 ( 36 8~ 0 Q
1 2-1-12 L-3poundamp1- 0 shy
2 l =- ~ ) 1 t=-loacl r_fJ lJ-2 CO 9 z~Ss L3b lrr ) Cbull loOd = c -z-lod Nz
I 2-b(Ad =- 14--~S L3b 810 SL
J $-1 S2 =- 5000 L3G ltis 1- = 12-00 -+ J9000
1 t f ~ uJ vAr
20lD 3
_ 41 661- A (A I =~e~
Ltlt6 0VCA1ed
-
Xe ~ ce11 _ rLe1L =0 ~2-2 f2shy
~4 _Y1_ rro-eJ
Po -==shy 200W
1152 -iZ
(tore loss) 1
3amp0 _ ~ ~ =- ~ ~ Po 200
1 v~ lampoL _ -
r2c 1152
~ Lj~0 - j -1 b ~ 5 b -L
2 91
--Zlif 211middot50
2shy _ J~e 1201
pound_JaQ(se 2 - 2 - = 0 1-2- J2 S bOISE 2010 3
per -lJl+ leCAIpoundCje ~fVpe ~tc e 2 r lA) - 2eq 2 0 0 5 L S L1-8 1~ 0 0 ot 2 C1 L-=t 8 13
0
eqz --t - - -=- J f V
2 bose 2 Omiddott 2
(r-cf~rrecl -0 wilctAI9 2
2 - Vootse1
~ loose
per-lAlr+- l-ealLo3E Nfe~fce
~1 (pV teCj1 _ Of 1-i5j3deg -= 00+29 1+6 1t 11 middot52
- We clAos-e ~ loose b l~es os 0t-1(9 Joltamp-~s of +--e ~fstorVI ershy
--
--
-- --12DVrDt1edZ
Vl Vz
N1 x V6otse 2 VbOtSe 2 N2
SbOse bose 2
middot vJ~ O~ ore CDMfOle+ ~~ cOMlclered we use fIlNltefb+-e
fOt1(3S OS bCSE vOuts
W~ severOI compone(1s orp i(lVD Jed i-Vle S8sreM base
vOtues ~j be clAfferw+ floM the VepLote rcx-Hr9S
~ (Egt0VEiCT ptA VoJJJes fom Its MYYgtEf tote roHIl9S i-c-l-he
Sjs+eM Ioose I
So~+iol
-
L I 2shy middot3 o
Vs =-2202
rB---3 I I~ xIle=Zfl -~-----lt
clood O9kJO2 Q3 (
(~~ - T2 -shy-- Ttl
2o~vA30~vA 4bO115 24D49O V )lt9 ~O1 ptA)lt~ = 0 pA
l eec IS (EBlec+ed)
D Iv cle lAe
reg 1le-i-erV e ~e voLve ( eOtC~ =2L)(e
S = 30 iL vA (fer ~re fie+vJu k ) b~e
3ofe1
VbGSe 1 == 24D V
i + ~e2
2lt0 (~80 ) -=- q80 V Vbosez 2-qo
3D IDsS60Seurobase3 -250 A V6CSe3 120
shy
I
- -
CegtcA O+e fE -Vftt r()pedovlce~
for T t1 ~ bse vOLues =rotrltjS bf ~e T 1
~ feq = KT1 -pA
t=o euro ~
1-- (e 2shy~Ife pLA - - - = 0 2 b 04 pe r v(Ii
z6(XSe2 1 middot b~
~ ~lDOd o ~+J 0 24-0 tOCXd ~ ~hXA~ pIA - - =18tS+j O 416-=J- pL
-tbOlSe 5 0 middot48
t-O( sOlK (euro ~ iPV shy
--~------------------------~eC pft j lD-1+0 2604 +O 13=i8~O 4 1pound t ) +1 gi-5
_ o 91pound1- LJL -= o - 3 g 1-26010 208~ f 2bO to
TI _I II _J TI_~ _ --(C)1395-26 010) 2bO - OCia = OQCiPlA - -~e 6 - -
~ cleO -ttofStOMel U)i()ciA(9S ~~ loeeA ciiMffOted b~
p roper ~elec+fDn of bOse JClues
v=- VLA CDnnect-ed V==-VLL~~~480LZ V
LoOd ~ ()flfeurocteci z =- 2-6 ~ 30 (400 J2
Z Irfe =1 25 0 SL I 1 __
- PVIVISe
Vbotsf2L
Vbose =- Yis 0 (llne +0 III(e )
-SbOlse
LoOd
6 CD(()ec+eJ -----~ convert +0 ) 2- 2-d a
3- 10 40_ nA =
6 ItIeuro _ 1 I 85 i) _ ltgt
=0 043 40 186 re lAnt~6se 23 04
10 L 400 =0 434 40 C)
fee- v(1shy2 3 Dtt
tn or clec- to do +lAe colClAOIt-Ivf D(le-pkO(se equIvotleuroltl
WE So~D LA Qj AS e LIle +e (leLA+-rod va H-0I3e
--v
-3DVw ( lp)
VLN -Vp =shypA f 1A Vbase LN Vbotse LLshy
~
( Vboseurop)
I PlA =
1 L -~ )
----- -- shy(0 003=r8 -+j 00 ~3Z3) +lD33 25 +JD 213)
1 L-30deg
IbOlSe =- S b~-e -V3 VbOSeurogt
LL Vbose~ p
Ac~ cvrr-Bl+ middot
I = (2 -1 -lt 1-1-3 ~o ) 12 03 =- 2 ) 8- S L-1~ ~8 A0-1
~ro~lA +-IAeuro ine
L tre wrre(1+ r G )
~kose vwrern-)
-- shy
L-I---shyfh-- -iAe - lood
Phas~ ~kr+ til 6-) TrOVsrorJYlers
Y -6 co(ectio
Posifle 01 n I M09lnO(_j
fleA -01
pDV1shy
I
I bull
I I
() I ~ -I=------~ b
s se UClti ~1ie5 01 1811 vO ~e ~e fS eod fD) err Lorres rJ
o
ovJ vO -oje sId Q 0) - 30middot
I I
0
cc
~9ort- veCjUOI(htes se9 middot 0( i-lAe hi~ vol+qcf side is ~f Ij ~lt-el( (or-epciA8 qlAClhtiHes 0( +lAe low vi)tof dele a~ 30middot
+30
Ie V1
Vo)+oge cklAations
amplanceal (f ~ (j( Tr I
~~I2 j)1 p ~
l-L- =19921 ()D1Yfwgtse+D Neulro
s~ f Vp I -tor
I S 1200~1 ~ 2 008 iLA
3 VPhP 3 34 5 flV no c -ke lAf S
100 D
-(3 645 =--t-lcosO )) J12 shyftA -~S ~$ o+ed wrret1
2 middot008 for middottrcvsfDr(Yer
[ ~ +o1Le t+ os Ie CAS e
a Y -( -t
=1+ ~ O 08B3t25~4middot 1D3b3-+joo1gtO
~ 1 0 33 4 139 0 fe( lA( +
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3
20lD 3
_ 41 661- A (A I =~e~
Ltlt6 0VCA1ed
-
Xe ~ ce11 _ rLe1L =0 ~2-2 f2shy
~4 _Y1_ rro-eJ
Po -==shy 200W
1152 -iZ
(tore loss) 1
3amp0 _ ~ ~ =- ~ ~ Po 200
1 v~ lampoL _ -
r2c 1152
~ Lj~0 - j -1 b ~ 5 b -L
2 91
--Zlif 211middot50
2shy _ J~e 1201
pound_JaQ(se 2 - 2 - = 0 1-2- J2 S bOISE 2010 3
per -lJl+ leCAIpoundCje ~fVpe ~tc e 2 r lA) - 2eq 2 0 0 5 L S L1-8 1~ 0 0 ot 2 C1 L-=t 8 13
0
eqz --t - - -=- J f V
2 bose 2 Omiddott 2
(r-cf~rrecl -0 wilctAI9 2
2 - Vootse1
~ loose
per-lAlr+- l-ealLo3E Nfe~fce
~1 (pV teCj1 _ Of 1-i5j3deg -= 00+29 1+6 1t 11 middot52
- We clAos-e ~ loose b l~es os 0t-1(9 Joltamp-~s of +--e ~fstorVI ershy
--
--
-- --12DVrDt1edZ
Vl Vz
N1 x V6otse 2 VbOtSe 2 N2
SbOse bose 2
middot vJ~ O~ ore CDMfOle+ ~~ cOMlclered we use fIlNltefb+-e
fOt1(3S OS bCSE vOuts
W~ severOI compone(1s orp i(lVD Jed i-Vle S8sreM base
vOtues ~j be clAfferw+ floM the VepLote rcx-Hr9S
~ (Egt0VEiCT ptA VoJJJes fom Its MYYgtEf tote roHIl9S i-c-l-he
Sjs+eM Ioose I
So~+iol
-
L I 2shy middot3 o
Vs =-2202
rB---3 I I~ xIle=Zfl -~-----lt
clood O9kJO2 Q3 (
(~~ - T2 -shy-- Ttl
2o~vA30~vA 4bO115 24D49O V )lt9 ~O1 ptA)lt~ = 0 pA
l eec IS (EBlec+ed)
D Iv cle lAe
reg 1le-i-erV e ~e voLve ( eOtC~ =2L)(e
S = 30 iL vA (fer ~re fie+vJu k ) b~e
3ofe1
VbGSe 1 == 24D V
i + ~e2
2lt0 (~80 ) -=- q80 V Vbosez 2-qo
3D IDsS60Seurobase3 -250 A V6CSe3 120
shy
I
- -
CegtcA O+e fE -Vftt r()pedovlce~
for T t1 ~ bse vOLues =rotrltjS bf ~e T 1
~ feq = KT1 -pA
t=o euro ~
1-- (e 2shy~Ife pLA - - - = 0 2 b 04 pe r v(Ii
z6(XSe2 1 middot b~
~ ~lDOd o ~+J 0 24-0 tOCXd ~ ~hXA~ pIA - - =18tS+j O 416-=J- pL
-tbOlSe 5 0 middot48
t-O( sOlK (euro ~ iPV shy
--~------------------------~eC pft j lD-1+0 2604 +O 13=i8~O 4 1pound t ) +1 gi-5
_ o 91pound1- LJL -= o - 3 g 1-26010 208~ f 2bO to
TI _I II _J TI_~ _ --(C)1395-26 010) 2bO - OCia = OQCiPlA - -~e 6 - -
~ cleO -ttofStOMel U)i()ciA(9S ~~ loeeA ciiMffOted b~
p roper ~elec+fDn of bOse JClues
v=- VLA CDnnect-ed V==-VLL~~~480LZ V
LoOd ~ ()flfeurocteci z =- 2-6 ~ 30 (400 J2
Z Irfe =1 25 0 SL I 1 __
- PVIVISe
Vbotsf2L
Vbose =- Yis 0 (llne +0 III(e )
-SbOlse
LoOd
6 CD(()ec+eJ -----~ convert +0 ) 2- 2-d a
3- 10 40_ nA =
6 ItIeuro _ 1 I 85 i) _ ltgt
=0 043 40 186 re lAnt~6se 23 04
10 L 400 =0 434 40 C)
fee- v(1shy2 3 Dtt
tn or clec- to do +lAe colClAOIt-Ivf D(le-pkO(se equIvotleuroltl
WE So~D LA Qj AS e LIle +e (leLA+-rod va H-0I3e
--v
-3DVw ( lp)
VLN -Vp =shypA f 1A Vbase LN Vbotse LLshy
~
( Vboseurop)
I PlA =
1 L -~ )
----- -- shy(0 003=r8 -+j 00 ~3Z3) +lD33 25 +JD 213)
1 L-30deg
IbOlSe =- S b~-e -V3 VbOSeurogt
LL Vbose~ p
Ac~ cvrr-Bl+ middot
I = (2 -1 -lt 1-1-3 ~o ) 12 03 =- 2 ) 8- S L-1~ ~8 A0-1
~ro~lA +-IAeuro ine
L tre wrre(1+ r G )
~kose vwrern-)
-- shy
L-I---shyfh-- -iAe - lood
Phas~ ~kr+ til 6-) TrOVsrorJYlers
Y -6 co(ectio
Posifle 01 n I M09lnO(_j
fleA -01
pDV1shy
I
I bull
I I
() I ~ -I=------~ b
s se UClti ~1ie5 01 1811 vO ~e ~e fS eod fD) err Lorres rJ
o
ovJ vO -oje sId Q 0) - 30middot
I I
0
cc
~9ort- veCjUOI(htes se9 middot 0( i-lAe hi~ vol+qcf side is ~f Ij ~lt-el( (or-epciA8 qlAClhtiHes 0( +lAe low vi)tof dele a~ 30middot
+30
Ie V1
Vo)+oge cklAations
amplanceal (f ~ (j( Tr I
~~I2 j)1 p ~
l-L- =19921 ()D1Yfwgtse+D Neulro
s~ f Vp I -tor
I S 1200~1 ~ 2 008 iLA
3 VPhP 3 34 5 flV no c -ke lAf S
100 D
-(3 645 =--t-lcosO )) J12 shyftA -~S ~$ o+ed wrret1
2 middot008 for middottrcvsfDr(Yer
[ ~ +o1Le t+ os Ie CAS e
a Y -( -t
=1+ ~ O 08B3t25~4middot 1D3b3-+joo1gtO
~ 1 0 33 4 139 0 fe( lA( +
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3
1 v~ lampoL _ -
r2c 1152
~ Lj~0 - j -1 b ~ 5 b -L
2 91
--Zlif 211middot50
2shy _ J~e 1201
pound_JaQ(se 2 - 2 - = 0 1-2- J2 S bOISE 2010 3
per -lJl+ leCAIpoundCje ~fVpe ~tc e 2 r lA) - 2eq 2 0 0 5 L S L1-8 1~ 0 0 ot 2 C1 L-=t 8 13
0
eqz --t - - -=- J f V
2 bose 2 Omiddott 2
(r-cf~rrecl -0 wilctAI9 2
2 - Vootse1
~ loose
per-lAlr+- l-ealLo3E Nfe~fce
~1 (pV teCj1 _ Of 1-i5j3deg -= 00+29 1+6 1t 11 middot52
- We clAos-e ~ loose b l~es os 0t-1(9 Joltamp-~s of +--e ~fstorVI ershy
--
--
-- --12DVrDt1edZ
Vl Vz
N1 x V6otse 2 VbOtSe 2 N2
SbOse bose 2
middot vJ~ O~ ore CDMfOle+ ~~ cOMlclered we use fIlNltefb+-e
fOt1(3S OS bCSE vOuts
W~ severOI compone(1s orp i(lVD Jed i-Vle S8sreM base
vOtues ~j be clAfferw+ floM the VepLote rcx-Hr9S
~ (Egt0VEiCT ptA VoJJJes fom Its MYYgtEf tote roHIl9S i-c-l-he
Sjs+eM Ioose I
So~+iol
-
L I 2shy middot3 o
Vs =-2202
rB---3 I I~ xIle=Zfl -~-----lt
clood O9kJO2 Q3 (
(~~ - T2 -shy-- Ttl
2o~vA30~vA 4bO115 24D49O V )lt9 ~O1 ptA)lt~ = 0 pA
l eec IS (EBlec+ed)
D Iv cle lAe
reg 1le-i-erV e ~e voLve ( eOtC~ =2L)(e
S = 30 iL vA (fer ~re fie+vJu k ) b~e
3ofe1
VbGSe 1 == 24D V
i + ~e2
2lt0 (~80 ) -=- q80 V Vbosez 2-qo
3D IDsS60Seurobase3 -250 A V6CSe3 120
shy
I
- -
CegtcA O+e fE -Vftt r()pedovlce~
for T t1 ~ bse vOLues =rotrltjS bf ~e T 1
~ feq = KT1 -pA
t=o euro ~
1-- (e 2shy~Ife pLA - - - = 0 2 b 04 pe r v(Ii
z6(XSe2 1 middot b~
~ ~lDOd o ~+J 0 24-0 tOCXd ~ ~hXA~ pIA - - =18tS+j O 416-=J- pL
-tbOlSe 5 0 middot48
t-O( sOlK (euro ~ iPV shy
--~------------------------~eC pft j lD-1+0 2604 +O 13=i8~O 4 1pound t ) +1 gi-5
_ o 91pound1- LJL -= o - 3 g 1-26010 208~ f 2bO to
TI _I II _J TI_~ _ --(C)1395-26 010) 2bO - OCia = OQCiPlA - -~e 6 - -
~ cleO -ttofStOMel U)i()ciA(9S ~~ loeeA ciiMffOted b~
p roper ~elec+fDn of bOse JClues
v=- VLA CDnnect-ed V==-VLL~~~480LZ V
LoOd ~ ()flfeurocteci z =- 2-6 ~ 30 (400 J2
Z Irfe =1 25 0 SL I 1 __
- PVIVISe
Vbotsf2L
Vbose =- Yis 0 (llne +0 III(e )
-SbOlse
LoOd
6 CD(()ec+eJ -----~ convert +0 ) 2- 2-d a
3- 10 40_ nA =
6 ItIeuro _ 1 I 85 i) _ ltgt
=0 043 40 186 re lAnt~6se 23 04
10 L 400 =0 434 40 C)
fee- v(1shy2 3 Dtt
tn or clec- to do +lAe colClAOIt-Ivf D(le-pkO(se equIvotleuroltl
WE So~D LA Qj AS e LIle +e (leLA+-rod va H-0I3e
--v
-3DVw ( lp)
VLN -Vp =shypA f 1A Vbase LN Vbotse LLshy
~
( Vboseurop)
I PlA =
1 L -~ )
----- -- shy(0 003=r8 -+j 00 ~3Z3) +lD33 25 +JD 213)
1 L-30deg
IbOlSe =- S b~-e -V3 VbOSeurogt
LL Vbose~ p
Ac~ cvrr-Bl+ middot
I = (2 -1 -lt 1-1-3 ~o ) 12 03 =- 2 ) 8- S L-1~ ~8 A0-1
~ro~lA +-IAeuro ine
L tre wrre(1+ r G )
~kose vwrern-)
-- shy
L-I---shyfh-- -iAe - lood
Phas~ ~kr+ til 6-) TrOVsrorJYlers
Y -6 co(ectio
Posifle 01 n I M09lnO(_j
fleA -01
pDV1shy
I
I bull
I I
() I ~ -I=------~ b
s se UClti ~1ie5 01 1811 vO ~e ~e fS eod fD) err Lorres rJ
o
ovJ vO -oje sId Q 0) - 30middot
I I
0
cc
~9ort- veCjUOI(htes se9 middot 0( i-lAe hi~ vol+qcf side is ~f Ij ~lt-el( (or-epciA8 qlAClhtiHes 0( +lAe low vi)tof dele a~ 30middot
+30
Ie V1
Vo)+oge cklAations
amplanceal (f ~ (j( Tr I
~~I2 j)1 p ~
l-L- =19921 ()D1Yfwgtse+D Neulro
s~ f Vp I -tor
I S 1200~1 ~ 2 008 iLA
3 VPhP 3 34 5 flV no c -ke lAf S
100 D
-(3 645 =--t-lcosO )) J12 shyftA -~S ~$ o+ed wrret1
2 middot008 for middottrcvsfDr(Yer
[ ~ +o1Le t+ os Ie CAS e
a Y -( -t
=1+ ~ O 08B3t25~4middot 1D3b3-+joo1gtO
~ 1 0 33 4 139 0 fe( lA( +
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3
2shy _ J~e 1201
pound_JaQ(se 2 - 2 - = 0 1-2- J2 S bOISE 2010 3
per -lJl+ leCAIpoundCje ~fVpe ~tc e 2 r lA) - 2eq 2 0 0 5 L S L1-8 1~ 0 0 ot 2 C1 L-=t 8 13
0
eqz --t - - -=- J f V
2 bose 2 Omiddott 2
(r-cf~rrecl -0 wilctAI9 2
2 - Vootse1
~ loose
per-lAlr+- l-ealLo3E Nfe~fce
~1 (pV teCj1 _ Of 1-i5j3deg -= 00+29 1+6 1t 11 middot52
- We clAos-e ~ loose b l~es os 0t-1(9 Joltamp-~s of +--e ~fstorVI ershy
--
--
-- --12DVrDt1edZ
Vl Vz
N1 x V6otse 2 VbOtSe 2 N2
SbOse bose 2
middot vJ~ O~ ore CDMfOle+ ~~ cOMlclered we use fIlNltefb+-e
fOt1(3S OS bCSE vOuts
W~ severOI compone(1s orp i(lVD Jed i-Vle S8sreM base
vOtues ~j be clAfferw+ floM the VepLote rcx-Hr9S
~ (Egt0VEiCT ptA VoJJJes fom Its MYYgtEf tote roHIl9S i-c-l-he
Sjs+eM Ioose I
So~+iol
-
L I 2shy middot3 o
Vs =-2202
rB---3 I I~ xIle=Zfl -~-----lt
clood O9kJO2 Q3 (
(~~ - T2 -shy-- Ttl
2o~vA30~vA 4bO115 24D49O V )lt9 ~O1 ptA)lt~ = 0 pA
l eec IS (EBlec+ed)
D Iv cle lAe
reg 1le-i-erV e ~e voLve ( eOtC~ =2L)(e
S = 30 iL vA (fer ~re fie+vJu k ) b~e
3ofe1
VbGSe 1 == 24D V
i + ~e2
2lt0 (~80 ) -=- q80 V Vbosez 2-qo
3D IDsS60Seurobase3 -250 A V6CSe3 120
shy
I
- -
CegtcA O+e fE -Vftt r()pedovlce~
for T t1 ~ bse vOLues =rotrltjS bf ~e T 1
~ feq = KT1 -pA
t=o euro ~
1-- (e 2shy~Ife pLA - - - = 0 2 b 04 pe r v(Ii
z6(XSe2 1 middot b~
~ ~lDOd o ~+J 0 24-0 tOCXd ~ ~hXA~ pIA - - =18tS+j O 416-=J- pL
-tbOlSe 5 0 middot48
t-O( sOlK (euro ~ iPV shy
--~------------------------~eC pft j lD-1+0 2604 +O 13=i8~O 4 1pound t ) +1 gi-5
_ o 91pound1- LJL -= o - 3 g 1-26010 208~ f 2bO to
TI _I II _J TI_~ _ --(C)1395-26 010) 2bO - OCia = OQCiPlA - -~e 6 - -
~ cleO -ttofStOMel U)i()ciA(9S ~~ loeeA ciiMffOted b~
p roper ~elec+fDn of bOse JClues
v=- VLA CDnnect-ed V==-VLL~~~480LZ V
LoOd ~ ()flfeurocteci z =- 2-6 ~ 30 (400 J2
Z Irfe =1 25 0 SL I 1 __
- PVIVISe
Vbotsf2L
Vbose =- Yis 0 (llne +0 III(e )
-SbOlse
LoOd
6 CD(()ec+eJ -----~ convert +0 ) 2- 2-d a
3- 10 40_ nA =
6 ItIeuro _ 1 I 85 i) _ ltgt
=0 043 40 186 re lAnt~6se 23 04
10 L 400 =0 434 40 C)
fee- v(1shy2 3 Dtt
tn or clec- to do +lAe colClAOIt-Ivf D(le-pkO(se equIvotleuroltl
WE So~D LA Qj AS e LIle +e (leLA+-rod va H-0I3e
--v
-3DVw ( lp)
VLN -Vp =shypA f 1A Vbase LN Vbotse LLshy
~
( Vboseurop)
I PlA =
1 L -~ )
----- -- shy(0 003=r8 -+j 00 ~3Z3) +lD33 25 +JD 213)
1 L-30deg
IbOlSe =- S b~-e -V3 VbOSeurogt
LL Vbose~ p
Ac~ cvrr-Bl+ middot
I = (2 -1 -lt 1-1-3 ~o ) 12 03 =- 2 ) 8- S L-1~ ~8 A0-1
~ro~lA +-IAeuro ine
L tre wrre(1+ r G )
~kose vwrern-)
-- shy
L-I---shyfh-- -iAe - lood
Phas~ ~kr+ til 6-) TrOVsrorJYlers
Y -6 co(ectio
Posifle 01 n I M09lnO(_j
fleA -01
pDV1shy
I
I bull
I I
() I ~ -I=------~ b
s se UClti ~1ie5 01 1811 vO ~e ~e fS eod fD) err Lorres rJ
o
ovJ vO -oje sId Q 0) - 30middot
I I
0
cc
~9ort- veCjUOI(htes se9 middot 0( i-lAe hi~ vol+qcf side is ~f Ij ~lt-el( (or-epciA8 qlAClhtiHes 0( +lAe low vi)tof dele a~ 30middot
+30
Ie V1
Vo)+oge cklAations
amplanceal (f ~ (j( Tr I
~~I2 j)1 p ~
l-L- =19921 ()D1Yfwgtse+D Neulro
s~ f Vp I -tor
I S 1200~1 ~ 2 008 iLA
3 VPhP 3 34 5 flV no c -ke lAf S
100 D
-(3 645 =--t-lcosO )) J12 shyftA -~S ~$ o+ed wrret1
2 middot008 for middottrcvsfDr(Yer
[ ~ +o1Le t+ os Ie CAS e
a Y -( -t
=1+ ~ O 08B3t25~4middot 1D3b3-+joo1gtO
~ 1 0 33 4 139 0 fe( lA( +
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3
--
--
-- --12DVrDt1edZ
Vl Vz
N1 x V6otse 2 VbOtSe 2 N2
SbOse bose 2
middot vJ~ O~ ore CDMfOle+ ~~ cOMlclered we use fIlNltefb+-e
fOt1(3S OS bCSE vOuts
W~ severOI compone(1s orp i(lVD Jed i-Vle S8sreM base
vOtues ~j be clAfferw+ floM the VepLote rcx-Hr9S
~ (Egt0VEiCT ptA VoJJJes fom Its MYYgtEf tote roHIl9S i-c-l-he
Sjs+eM Ioose I
So~+iol
-
L I 2shy middot3 o
Vs =-2202
rB---3 I I~ xIle=Zfl -~-----lt
clood O9kJO2 Q3 (
(~~ - T2 -shy-- Ttl
2o~vA30~vA 4bO115 24D49O V )lt9 ~O1 ptA)lt~ = 0 pA
l eec IS (EBlec+ed)
D Iv cle lAe
reg 1le-i-erV e ~e voLve ( eOtC~ =2L)(e
S = 30 iL vA (fer ~re fie+vJu k ) b~e
3ofe1
VbGSe 1 == 24D V
i + ~e2
2lt0 (~80 ) -=- q80 V Vbosez 2-qo
3D IDsS60Seurobase3 -250 A V6CSe3 120
shy
I
- -
CegtcA O+e fE -Vftt r()pedovlce~
for T t1 ~ bse vOLues =rotrltjS bf ~e T 1
~ feq = KT1 -pA
t=o euro ~
1-- (e 2shy~Ife pLA - - - = 0 2 b 04 pe r v(Ii
z6(XSe2 1 middot b~
~ ~lDOd o ~+J 0 24-0 tOCXd ~ ~hXA~ pIA - - =18tS+j O 416-=J- pL
-tbOlSe 5 0 middot48
t-O( sOlK (euro ~ iPV shy
--~------------------------~eC pft j lD-1+0 2604 +O 13=i8~O 4 1pound t ) +1 gi-5
_ o 91pound1- LJL -= o - 3 g 1-26010 208~ f 2bO to
TI _I II _J TI_~ _ --(C)1395-26 010) 2bO - OCia = OQCiPlA - -~e 6 - -
~ cleO -ttofStOMel U)i()ciA(9S ~~ loeeA ciiMffOted b~
p roper ~elec+fDn of bOse JClues
v=- VLA CDnnect-ed V==-VLL~~~480LZ V
LoOd ~ ()flfeurocteci z =- 2-6 ~ 30 (400 J2
Z Irfe =1 25 0 SL I 1 __
- PVIVISe
Vbotsf2L
Vbose =- Yis 0 (llne +0 III(e )
-SbOlse
LoOd
6 CD(()ec+eJ -----~ convert +0 ) 2- 2-d a
3- 10 40_ nA =
6 ItIeuro _ 1 I 85 i) _ ltgt
=0 043 40 186 re lAnt~6se 23 04
10 L 400 =0 434 40 C)
fee- v(1shy2 3 Dtt
tn or clec- to do +lAe colClAOIt-Ivf D(le-pkO(se equIvotleuroltl
WE So~D LA Qj AS e LIle +e (leLA+-rod va H-0I3e
--v
-3DVw ( lp)
VLN -Vp =shypA f 1A Vbase LN Vbotse LLshy
~
( Vboseurop)
I PlA =
1 L -~ )
----- -- shy(0 003=r8 -+j 00 ~3Z3) +lD33 25 +JD 213)
1 L-30deg
IbOlSe =- S b~-e -V3 VbOSeurogt
LL Vbose~ p
Ac~ cvrr-Bl+ middot
I = (2 -1 -lt 1-1-3 ~o ) 12 03 =- 2 ) 8- S L-1~ ~8 A0-1
~ro~lA +-IAeuro ine
L tre wrre(1+ r G )
~kose vwrern-)
-- shy
L-I---shyfh-- -iAe - lood
Phas~ ~kr+ til 6-) TrOVsrorJYlers
Y -6 co(ectio
Posifle 01 n I M09lnO(_j
fleA -01
pDV1shy
I
I bull
I I
() I ~ -I=------~ b
s se UClti ~1ie5 01 1811 vO ~e ~e fS eod fD) err Lorres rJ
o
ovJ vO -oje sId Q 0) - 30middot
I I
0
cc
~9ort- veCjUOI(htes se9 middot 0( i-lAe hi~ vol+qcf side is ~f Ij ~lt-el( (or-epciA8 qlAClhtiHes 0( +lAe low vi)tof dele a~ 30middot
+30
Ie V1
Vo)+oge cklAations
amplanceal (f ~ (j( Tr I
~~I2 j)1 p ~
l-L- =19921 ()D1Yfwgtse+D Neulro
s~ f Vp I -tor
I S 1200~1 ~ 2 008 iLA
3 VPhP 3 34 5 flV no c -ke lAf S
100 D
-(3 645 =--t-lcosO )) J12 shyftA -~S ~$ o+ed wrret1
2 middot008 for middottrcvsfDr(Yer
[ ~ +o1Le t+ os Ie CAS e
a Y -( -t
=1+ ~ O 08B3t25~4middot 1D3b3-+joo1gtO
~ 1 0 33 4 139 0 fe( lA( +
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3
middot vJ~ O~ ore CDMfOle+ ~~ cOMlclered we use fIlNltefb+-e
fOt1(3S OS bCSE vOuts
W~ severOI compone(1s orp i(lVD Jed i-Vle S8sreM base
vOtues ~j be clAfferw+ floM the VepLote rcx-Hr9S
~ (Egt0VEiCT ptA VoJJJes fom Its MYYgtEf tote roHIl9S i-c-l-he
Sjs+eM Ioose I
So~+iol
-
L I 2shy middot3 o
Vs =-2202
rB---3 I I~ xIle=Zfl -~-----lt
clood O9kJO2 Q3 (
(~~ - T2 -shy-- Ttl
2o~vA30~vA 4bO115 24D49O V )lt9 ~O1 ptA)lt~ = 0 pA
l eec IS (EBlec+ed)
D Iv cle lAe
reg 1le-i-erV e ~e voLve ( eOtC~ =2L)(e
S = 30 iL vA (fer ~re fie+vJu k ) b~e
3ofe1
VbGSe 1 == 24D V
i + ~e2
2lt0 (~80 ) -=- q80 V Vbosez 2-qo
3D IDsS60Seurobase3 -250 A V6CSe3 120
shy
I
- -
CegtcA O+e fE -Vftt r()pedovlce~
for T t1 ~ bse vOLues =rotrltjS bf ~e T 1
~ feq = KT1 -pA
t=o euro ~
1-- (e 2shy~Ife pLA - - - = 0 2 b 04 pe r v(Ii
z6(XSe2 1 middot b~
~ ~lDOd o ~+J 0 24-0 tOCXd ~ ~hXA~ pIA - - =18tS+j O 416-=J- pL
-tbOlSe 5 0 middot48
t-O( sOlK (euro ~ iPV shy
--~------------------------~eC pft j lD-1+0 2604 +O 13=i8~O 4 1pound t ) +1 gi-5
_ o 91pound1- LJL -= o - 3 g 1-26010 208~ f 2bO to
TI _I II _J TI_~ _ --(C)1395-26 010) 2bO - OCia = OQCiPlA - -~e 6 - -
~ cleO -ttofStOMel U)i()ciA(9S ~~ loeeA ciiMffOted b~
p roper ~elec+fDn of bOse JClues
v=- VLA CDnnect-ed V==-VLL~~~480LZ V
LoOd ~ ()flfeurocteci z =- 2-6 ~ 30 (400 J2
Z Irfe =1 25 0 SL I 1 __
- PVIVISe
Vbotsf2L
Vbose =- Yis 0 (llne +0 III(e )
-SbOlse
LoOd
6 CD(()ec+eJ -----~ convert +0 ) 2- 2-d a
3- 10 40_ nA =
6 ItIeuro _ 1 I 85 i) _ ltgt
=0 043 40 186 re lAnt~6se 23 04
10 L 400 =0 434 40 C)
fee- v(1shy2 3 Dtt
tn or clec- to do +lAe colClAOIt-Ivf D(le-pkO(se equIvotleuroltl
WE So~D LA Qj AS e LIle +e (leLA+-rod va H-0I3e
--v
-3DVw ( lp)
VLN -Vp =shypA f 1A Vbase LN Vbotse LLshy
~
( Vboseurop)
I PlA =
1 L -~ )
----- -- shy(0 003=r8 -+j 00 ~3Z3) +lD33 25 +JD 213)
1 L-30deg
IbOlSe =- S b~-e -V3 VbOSeurogt
LL Vbose~ p
Ac~ cvrr-Bl+ middot
I = (2 -1 -lt 1-1-3 ~o ) 12 03 =- 2 ) 8- S L-1~ ~8 A0-1
~ro~lA +-IAeuro ine
L tre wrre(1+ r G )
~kose vwrern-)
-- shy
L-I---shyfh-- -iAe - lood
Phas~ ~kr+ til 6-) TrOVsrorJYlers
Y -6 co(ectio
Posifle 01 n I M09lnO(_j
fleA -01
pDV1shy
I
I bull
I I
() I ~ -I=------~ b
s se UClti ~1ie5 01 1811 vO ~e ~e fS eod fD) err Lorres rJ
o
ovJ vO -oje sId Q 0) - 30middot
I I
0
cc
~9ort- veCjUOI(htes se9 middot 0( i-lAe hi~ vol+qcf side is ~f Ij ~lt-el( (or-epciA8 qlAClhtiHes 0( +lAe low vi)tof dele a~ 30middot
+30
Ie V1
Vo)+oge cklAations
amplanceal (f ~ (j( Tr I
~~I2 j)1 p ~
l-L- =19921 ()D1Yfwgtse+D Neulro
s~ f Vp I -tor
I S 1200~1 ~ 2 008 iLA
3 VPhP 3 34 5 flV no c -ke lAf S
100 D
-(3 645 =--t-lcosO )) J12 shyftA -~S ~$ o+ed wrret1
2 middot008 for middottrcvsfDr(Yer
[ ~ +o1Le t+ os Ie CAS e
a Y -( -t
=1+ ~ O 08B3t25~4middot 1D3b3-+joo1gtO
~ 1 0 33 4 139 0 fe( lA( +
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3
So~+iol
-
L I 2shy middot3 o
Vs =-2202
rB---3 I I~ xIle=Zfl -~-----lt
clood O9kJO2 Q3 (
(~~ - T2 -shy-- Ttl
2o~vA30~vA 4bO115 24D49O V )lt9 ~O1 ptA)lt~ = 0 pA
l eec IS (EBlec+ed)
D Iv cle lAe
reg 1le-i-erV e ~e voLve ( eOtC~ =2L)(e
S = 30 iL vA (fer ~re fie+vJu k ) b~e
3ofe1
VbGSe 1 == 24D V
i + ~e2
2lt0 (~80 ) -=- q80 V Vbosez 2-qo
3D IDsS60Seurobase3 -250 A V6CSe3 120
shy
I
- -
CegtcA O+e fE -Vftt r()pedovlce~
for T t1 ~ bse vOLues =rotrltjS bf ~e T 1
~ feq = KT1 -pA
t=o euro ~
1-- (e 2shy~Ife pLA - - - = 0 2 b 04 pe r v(Ii
z6(XSe2 1 middot b~
~ ~lDOd o ~+J 0 24-0 tOCXd ~ ~hXA~ pIA - - =18tS+j O 416-=J- pL
-tbOlSe 5 0 middot48
t-O( sOlK (euro ~ iPV shy
--~------------------------~eC pft j lD-1+0 2604 +O 13=i8~O 4 1pound t ) +1 gi-5
_ o 91pound1- LJL -= o - 3 g 1-26010 208~ f 2bO to
TI _I II _J TI_~ _ --(C)1395-26 010) 2bO - OCia = OQCiPlA - -~e 6 - -
~ cleO -ttofStOMel U)i()ciA(9S ~~ loeeA ciiMffOted b~
p roper ~elec+fDn of bOse JClues
v=- VLA CDnnect-ed V==-VLL~~~480LZ V
LoOd ~ ()flfeurocteci z =- 2-6 ~ 30 (400 J2
Z Irfe =1 25 0 SL I 1 __
- PVIVISe
Vbotsf2L
Vbose =- Yis 0 (llne +0 III(e )
-SbOlse
LoOd
6 CD(()ec+eJ -----~ convert +0 ) 2- 2-d a
3- 10 40_ nA =
6 ItIeuro _ 1 I 85 i) _ ltgt
=0 043 40 186 re lAnt~6se 23 04
10 L 400 =0 434 40 C)
fee- v(1shy2 3 Dtt
tn or clec- to do +lAe colClAOIt-Ivf D(le-pkO(se equIvotleuroltl
WE So~D LA Qj AS e LIle +e (leLA+-rod va H-0I3e
--v
-3DVw ( lp)
VLN -Vp =shypA f 1A Vbase LN Vbotse LLshy
~
( Vboseurop)
I PlA =
1 L -~ )
----- -- shy(0 003=r8 -+j 00 ~3Z3) +lD33 25 +JD 213)
1 L-30deg
IbOlSe =- S b~-e -V3 VbOSeurogt
LL Vbose~ p
Ac~ cvrr-Bl+ middot
I = (2 -1 -lt 1-1-3 ~o ) 12 03 =- 2 ) 8- S L-1~ ~8 A0-1
~ro~lA +-IAeuro ine
L tre wrre(1+ r G )
~kose vwrern-)
-- shy
L-I---shyfh-- -iAe - lood
Phas~ ~kr+ til 6-) TrOVsrorJYlers
Y -6 co(ectio
Posifle 01 n I M09lnO(_j
fleA -01
pDV1shy
I
I bull
I I
() I ~ -I=------~ b
s se UClti ~1ie5 01 1811 vO ~e ~e fS eod fD) err Lorres rJ
o
ovJ vO -oje sId Q 0) - 30middot
I I
0
cc
~9ort- veCjUOI(htes se9 middot 0( i-lAe hi~ vol+qcf side is ~f Ij ~lt-el( (or-epciA8 qlAClhtiHes 0( +lAe low vi)tof dele a~ 30middot
+30
Ie V1
Vo)+oge cklAations
amplanceal (f ~ (j( Tr I
~~I2 j)1 p ~
l-L- =19921 ()D1Yfwgtse+D Neulro
s~ f Vp I -tor
I S 1200~1 ~ 2 008 iLA
3 VPhP 3 34 5 flV no c -ke lAf S
100 D
-(3 645 =--t-lcosO )) J12 shyftA -~S ~$ o+ed wrret1
2 middot008 for middottrcvsfDr(Yer
[ ~ +o1Le t+ os Ie CAS e
a Y -( -t
=1+ ~ O 08B3t25~4middot 1D3b3-+joo1gtO
~ 1 0 33 4 139 0 fe( lA( +
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3
- -
CegtcA O+e fE -Vftt r()pedovlce~
for T t1 ~ bse vOLues =rotrltjS bf ~e T 1
~ feq = KT1 -pA
t=o euro ~
1-- (e 2shy~Ife pLA - - - = 0 2 b 04 pe r v(Ii
z6(XSe2 1 middot b~
~ ~lDOd o ~+J 0 24-0 tOCXd ~ ~hXA~ pIA - - =18tS+j O 416-=J- pL
-tbOlSe 5 0 middot48
t-O( sOlK (euro ~ iPV shy
--~------------------------~eC pft j lD-1+0 2604 +O 13=i8~O 4 1pound t ) +1 gi-5
_ o 91pound1- LJL -= o - 3 g 1-26010 208~ f 2bO to
TI _I II _J TI_~ _ --(C)1395-26 010) 2bO - OCia = OQCiPlA - -~e 6 - -
~ cleO -ttofStOMel U)i()ciA(9S ~~ loeeA ciiMffOted b~
p roper ~elec+fDn of bOse JClues
v=- VLA CDnnect-ed V==-VLL~~~480LZ V
LoOd ~ ()flfeurocteci z =- 2-6 ~ 30 (400 J2
Z Irfe =1 25 0 SL I 1 __
- PVIVISe
Vbotsf2L
Vbose =- Yis 0 (llne +0 III(e )
-SbOlse
LoOd
6 CD(()ec+eJ -----~ convert +0 ) 2- 2-d a
3- 10 40_ nA =
6 ItIeuro _ 1 I 85 i) _ ltgt
=0 043 40 186 re lAnt~6se 23 04
10 L 400 =0 434 40 C)
fee- v(1shy2 3 Dtt
tn or clec- to do +lAe colClAOIt-Ivf D(le-pkO(se equIvotleuroltl
WE So~D LA Qj AS e LIle +e (leLA+-rod va H-0I3e
--v
-3DVw ( lp)
VLN -Vp =shypA f 1A Vbase LN Vbotse LLshy
~
( Vboseurop)
I PlA =
1 L -~ )
----- -- shy(0 003=r8 -+j 00 ~3Z3) +lD33 25 +JD 213)
1 L-30deg
IbOlSe =- S b~-e -V3 VbOSeurogt
LL Vbose~ p
Ac~ cvrr-Bl+ middot
I = (2 -1 -lt 1-1-3 ~o ) 12 03 =- 2 ) 8- S L-1~ ~8 A0-1
~ro~lA +-IAeuro ine
L tre wrre(1+ r G )
~kose vwrern-)
-- shy
L-I---shyfh-- -iAe - lood
Phas~ ~kr+ til 6-) TrOVsrorJYlers
Y -6 co(ectio
Posifle 01 n I M09lnO(_j
fleA -01
pDV1shy
I
I bull
I I
() I ~ -I=------~ b
s se UClti ~1ie5 01 1811 vO ~e ~e fS eod fD) err Lorres rJ
o
ovJ vO -oje sId Q 0) - 30middot
I I
0
cc
~9ort- veCjUOI(htes se9 middot 0( i-lAe hi~ vol+qcf side is ~f Ij ~lt-el( (or-epciA8 qlAClhtiHes 0( +lAe low vi)tof dele a~ 30middot
+30
Ie V1
Vo)+oge cklAations
amplanceal (f ~ (j( Tr I
~~I2 j)1 p ~
l-L- =19921 ()D1Yfwgtse+D Neulro
s~ f Vp I -tor
I S 1200~1 ~ 2 008 iLA
3 VPhP 3 34 5 flV no c -ke lAf S
100 D
-(3 645 =--t-lcosO )) J12 shyftA -~S ~$ o+ed wrret1
2 middot008 for middottrcvsfDr(Yer
[ ~ +o1Le t+ os Ie CAS e
a Y -( -t
=1+ ~ O 08B3t25~4middot 1D3b3-+joo1gtO
~ 1 0 33 4 139 0 fe( lA( +
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3
TI _I II _J TI_~ _ --(C)1395-26 010) 2bO - OCia = OQCiPlA - -~e 6 - -
~ cleO -ttofStOMel U)i()ciA(9S ~~ loeeA ciiMffOted b~
p roper ~elec+fDn of bOse JClues
v=- VLA CDnnect-ed V==-VLL~~~480LZ V
LoOd ~ ()flfeurocteci z =- 2-6 ~ 30 (400 J2
Z Irfe =1 25 0 SL I 1 __
- PVIVISe
Vbotsf2L
Vbose =- Yis 0 (llne +0 III(e )
-SbOlse
LoOd
6 CD(()ec+eJ -----~ convert +0 ) 2- 2-d a
3- 10 40_ nA =
6 ItIeuro _ 1 I 85 i) _ ltgt
=0 043 40 186 re lAnt~6se 23 04
10 L 400 =0 434 40 C)
fee- v(1shy2 3 Dtt
tn or clec- to do +lAe colClAOIt-Ivf D(le-pkO(se equIvotleuroltl
WE So~D LA Qj AS e LIle +e (leLA+-rod va H-0I3e
--v
-3DVw ( lp)
VLN -Vp =shypA f 1A Vbase LN Vbotse LLshy
~
( Vboseurop)
I PlA =
1 L -~ )
----- -- shy(0 003=r8 -+j 00 ~3Z3) +lD33 25 +JD 213)
1 L-30deg
IbOlSe =- S b~-e -V3 VbOSeurogt
LL Vbose~ p
Ac~ cvrr-Bl+ middot
I = (2 -1 -lt 1-1-3 ~o ) 12 03 =- 2 ) 8- S L-1~ ~8 A0-1
~ro~lA +-IAeuro ine
L tre wrre(1+ r G )
~kose vwrern-)
-- shy
L-I---shyfh-- -iAe - lood
Phas~ ~kr+ til 6-) TrOVsrorJYlers
Y -6 co(ectio
Posifle 01 n I M09lnO(_j
fleA -01
pDV1shy
I
I bull
I I
() I ~ -I=------~ b
s se UClti ~1ie5 01 1811 vO ~e ~e fS eod fD) err Lorres rJ
o
ovJ vO -oje sId Q 0) - 30middot
I I
0
cc
~9ort- veCjUOI(htes se9 middot 0( i-lAe hi~ vol+qcf side is ~f Ij ~lt-el( (or-epciA8 qlAClhtiHes 0( +lAe low vi)tof dele a~ 30middot
+30
Ie V1
Vo)+oge cklAations
amplanceal (f ~ (j( Tr I
~~I2 j)1 p ~
l-L- =19921 ()D1Yfwgtse+D Neulro
s~ f Vp I -tor
I S 1200~1 ~ 2 008 iLA
3 VPhP 3 34 5 flV no c -ke lAf S
100 D
-(3 645 =--t-lcosO )) J12 shyftA -~S ~$ o+ed wrret1
2 middot008 for middottrcvsfDr(Yer
[ ~ +o1Le t+ os Ie CAS e
a Y -( -t
=1+ ~ O 08B3t25~4middot 1D3b3-+joo1gtO
~ 1 0 33 4 139 0 fe( lA( +
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3
v=- VLA CDnnect-ed V==-VLL~~~480LZ V
LoOd ~ ()flfeurocteci z =- 2-6 ~ 30 (400 J2
Z Irfe =1 25 0 SL I 1 __
- PVIVISe
Vbotsf2L
Vbose =- Yis 0 (llne +0 III(e )
-SbOlse
LoOd
6 CD(()ec+eJ -----~ convert +0 ) 2- 2-d a
3- 10 40_ nA =
6 ItIeuro _ 1 I 85 i) _ ltgt
=0 043 40 186 re lAnt~6se 23 04
10 L 400 =0 434 40 C)
fee- v(1shy2 3 Dtt
tn or clec- to do +lAe colClAOIt-Ivf D(le-pkO(se equIvotleuroltl
WE So~D LA Qj AS e LIle +e (leLA+-rod va H-0I3e
--v
-3DVw ( lp)
VLN -Vp =shypA f 1A Vbase LN Vbotse LLshy
~
( Vboseurop)
I PlA =
1 L -~ )
----- -- shy(0 003=r8 -+j 00 ~3Z3) +lD33 25 +JD 213)
1 L-30deg
IbOlSe =- S b~-e -V3 VbOSeurogt
LL Vbose~ p
Ac~ cvrr-Bl+ middot
I = (2 -1 -lt 1-1-3 ~o ) 12 03 =- 2 ) 8- S L-1~ ~8 A0-1
~ro~lA +-IAeuro ine
L tre wrre(1+ r G )
~kose vwrern-)
-- shy
L-I---shyfh-- -iAe - lood
Phas~ ~kr+ til 6-) TrOVsrorJYlers
Y -6 co(ectio
Posifle 01 n I M09lnO(_j
fleA -01
pDV1shy
I
I bull
I I
() I ~ -I=------~ b
s se UClti ~1ie5 01 1811 vO ~e ~e fS eod fD) err Lorres rJ
o
ovJ vO -oje sId Q 0) - 30middot
I I
0
cc
~9ort- veCjUOI(htes se9 middot 0( i-lAe hi~ vol+qcf side is ~f Ij ~lt-el( (or-epciA8 qlAClhtiHes 0( +lAe low vi)tof dele a~ 30middot
+30
Ie V1
Vo)+oge cklAations
amplanceal (f ~ (j( Tr I
~~I2 j)1 p ~
l-L- =19921 ()D1Yfwgtse+D Neulro
s~ f Vp I -tor
I S 1200~1 ~ 2 008 iLA
3 VPhP 3 34 5 flV no c -ke lAf S
100 D
-(3 645 =--t-lcosO )) J12 shyftA -~S ~$ o+ed wrret1
2 middot008 for middottrcvsfDr(Yer
[ ~ +o1Le t+ os Ie CAS e
a Y -( -t
=1+ ~ O 08B3t25~4middot 1D3b3-+joo1gtO
~ 1 0 33 4 139 0 fe( lA( +
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3
--v
-3DVw ( lp)
VLN -Vp =shypA f 1A Vbase LN Vbotse LLshy
~
( Vboseurop)
I PlA =
1 L -~ )
----- -- shy(0 003=r8 -+j 00 ~3Z3) +lD33 25 +JD 213)
1 L-30deg
IbOlSe =- S b~-e -V3 VbOSeurogt
LL Vbose~ p
Ac~ cvrr-Bl+ middot
I = (2 -1 -lt 1-1-3 ~o ) 12 03 =- 2 ) 8- S L-1~ ~8 A0-1
~ro~lA +-IAeuro ine
L tre wrre(1+ r G )
~kose vwrern-)
-- shy
L-I---shyfh-- -iAe - lood
Phas~ ~kr+ til 6-) TrOVsrorJYlers
Y -6 co(ectio
Posifle 01 n I M09lnO(_j
fleA -01
pDV1shy
I
I bull
I I
() I ~ -I=------~ b
s se UClti ~1ie5 01 1811 vO ~e ~e fS eod fD) err Lorres rJ
o
ovJ vO -oje sId Q 0) - 30middot
I I
0
cc
~9ort- veCjUOI(htes se9 middot 0( i-lAe hi~ vol+qcf side is ~f Ij ~lt-el( (or-epciA8 qlAClhtiHes 0( +lAe low vi)tof dele a~ 30middot
+30
Ie V1
Vo)+oge cklAations
amplanceal (f ~ (j( Tr I
~~I2 j)1 p ~
l-L- =19921 ()D1Yfwgtse+D Neulro
s~ f Vp I -tor
I S 1200~1 ~ 2 008 iLA
3 VPhP 3 34 5 flV no c -ke lAf S
100 D
-(3 645 =--t-lcosO )) J12 shyftA -~S ~$ o+ed wrret1
2 middot008 for middottrcvsfDr(Yer
[ ~ +o1Le t+ os Ie CAS e
a Y -( -t
=1+ ~ O 08B3t25~4middot 1D3b3-+joo1gtO
~ 1 0 33 4 139 0 fe( lA( +
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3
Phas~ ~kr+ til 6-) TrOVsrorJYlers
Y -6 co(ectio
Posifle 01 n I M09lnO(_j
fleA -01
pDV1shy
I
I bull
I I
() I ~ -I=------~ b
s se UClti ~1ie5 01 1811 vO ~e ~e fS eod fD) err Lorres rJ
o
ovJ vO -oje sId Q 0) - 30middot
I I
0
cc
~9ort- veCjUOI(htes se9 middot 0( i-lAe hi~ vol+qcf side is ~f Ij ~lt-el( (or-epciA8 qlAClhtiHes 0( +lAe low vi)tof dele a~ 30middot
+30
Ie V1
Vo)+oge cklAations
amplanceal (f ~ (j( Tr I
~~I2 j)1 p ~
l-L- =19921 ()D1Yfwgtse+D Neulro
s~ f Vp I -tor
I S 1200~1 ~ 2 008 iLA
3 VPhP 3 34 5 flV no c -ke lAf S
100 D
-(3 645 =--t-lcosO )) J12 shyftA -~S ~$ o+ed wrret1
2 middot008 for middottrcvsfDr(Yer
[ ~ +o1Le t+ os Ie CAS e
a Y -( -t
=1+ ~ O 08B3t25~4middot 1D3b3-+joo1gtO
~ 1 0 33 4 139 0 fe( lA( +
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3
Ie V1
Vo)+oge cklAations
amplanceal (f ~ (j( Tr I
~~I2 j)1 p ~
l-L- =19921 ()D1Yfwgtse+D Neulro
s~ f Vp I -tor
I S 1200~1 ~ 2 008 iLA
3 VPhP 3 34 5 flV no c -ke lAf S
100 D
-(3 645 =--t-lcosO )) J12 shyftA -~S ~$ o+ed wrret1
2 middot008 for middottrcvsfDr(Yer
[ ~ +o1Le t+ os Ie CAS e
a Y -( -t
=1+ ~ O 08B3t25~4middot 1D3b3-+joo1gtO
~ 1 0 33 4 139 0 fe( lA( +
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3
v~ -------I
-_--~
b j - y +rOVsforMer
JO1 ~ I2 ==-t)~333-2584deg
l fl 6 =gt 1 O~2
I t2-4-1 V
1 d30deg pound2 V2 e -d30 0
-pound 1 e V2- 1 -3 0 per Wi t
I1 =- e _~30
2 0 g333 -2524 - 30 =- 08353 I 5j8l[ 0
p( Xe~ ~ 0
V1 -1 + tlJmiddot d01 1 L-30 + j 0 1 (0amp335 -5584 )
V 1 03 9 L- 25 2~1 per VJ t t0
b collnec+e J i( one plAose V~se = 13middot 8 V3 p ltotse ~o neu trc I
~ 4-Ae tow vO l-bee WIf~f9S
V-1 reD I V p LA )( Vbos e
V1feuroC -10 ~9 -ZS 861 v ~3 8- 8 L-=8 L-2 5 j1 0 ~V v3