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GRID
Technical Institute
This document is the exclusive property of Alstom Grid and shall not be
transmitted by any means, copied, reproduced or modified without the prior
written consent of Alstom Grid Technical Institute. All rights reserved.
GRID
Technical Institute
This document is the exclusive property of Alstom Grid and shall not be
transmitted by any means, copied, reproduced or modified without the prior
written consent of Alstom Grid Technical Institute. All rights reserved.
Current Transformers
s
3
Current Transformer Function
 Reduce power system current to lower value for
measurement.
 Insulate secondary circuits from the primary.
 Permit the use of standard current ratings for secondary
equipment.
REMEMBER :
The relay performance DEPENDS on the C.T which
drives it !
s
4
Instrument Transformer Standards
IEC IEC 185:1987 CTs
IEC 44-6:1992 CTs
IEC 186:1987 VTs
EUROPEAN BS 7625 VTs
BS 7626 CTs
BS 7628 CT+VT
BRITISH BS 3938:1973 CTs
BS 3941:1975 VTs
AMERICAN ANSI C51.13.1978 CTs and VTs
CANADIAN CSA CAN3-C13-M83 CTs and VTs
AUSTRALIAN AS 1675-1986 CTs
s
5
Current Transformer Construction
BAR PRIMARY WOUND PRIMARY
Primary
Secondary
s
6
Bar Primary Type Current Transformer(s)
Primary
Conductor
Ring Type
Current
Transformer
Primary
Insulation
Core
Secondary
Winding
s
7
Typical Protection Bar-Primary Current Transformer
RELAY
1A ?
1000A ?
1000 turns sec. ?
Insulation covered wire,
giving inter-turn
insulation & secondary
to core insulation
Generator, or
system voltage
source
‘Feeder’ or ‘Bus-bar’
forming 1 turn of primary
circuit
Insulation to stop flash-over
from HV primary to core &
secondary circuit
Laminated ‘strip’ wound steel
toroidal core
s
8
Polarity
P2
P1
Is
S2
S1
Ip
Inst. Current directions :-
P1  P2
S1  S2 Externally
s
9
Differential Protection (1)
P2
P1 IFP1
IFS
IFS1
S2
S1
P1
P2
S1
S2
R
IFP2
IFS2
Operation for Internal Faults
s
10
Differential Protection (2)
P2
P1 IFP
IFS
S2
S1
P1
P2
S1
S2
R
IFS
Stability for External Faults
s
11
Differential Protection (3)
IFP
IFS
S2
S1 S1
S2
R
Maloperation due to Incorrect Connections
IFP
IFS
2IFS
s
12
Basic Theory
s
13
Basic Theory (1)
IP
IS
R
1 Primary Turn
N Secondary Turns
For an ideal transformer :-
PRIMARY AMPERE TURNS = SECONDARY AMPERE TURNS
 IP = N x IS
s
14
Basic Theory (2)
IP
IS
R
ES
For IS to flow through R there must be some potential -
ES = the E.M.F.
ES = IS x R
ES is produced by an alternating flux in the core.
ES  dØ
dt
s
15
Basic Theory (3)
IP
NP
NS
EK
IS
ZB
ZCT
VO/P = ISZB = EK - ISZCT
s
16
Basic Formulae
Circuit Voltage Required :
ES = IS (ZB + ZCT + ZL) Volts
where :-
IS = Secondary Current of C.T. (Amperes)
ZB = Connected External Burden (Ohms)
ZCT = C.T Winding Impedance (Ohms)
ZL = Lead Loop Resistance (Ohms)
Require EK > ES
s
17
Basic Formulae (1)
Maximum Secondary Winding Voltage :
EK = 4.44 x B A f N Volts …. 1
where :-
EK = Secondary Induced Volts
(knee-point voltage)
B = Flux Density (Tesla)
A = Core Cross-sectional Area
(square metres)
f = System Frequency (Hertz)
N = Number of Turns
s
18
Simple Selection Example
Example Calculation :
C.T. Ratio = 2000 / 5A Max Flux Density = 1.6 T
RS = 0.31 Ohms Core C.S.A = 20 cm2
IMAX Primary = 40 kA
Find maximum secondary burden permissible if no saturation is to occur.
Solution : N = 2000 / 5 = 400 Turns
IS MAX = 40,000 / 400 = 100 Amps
From equation 1 the knee point voltage is :-
VK = (4.44 x 1.6 x 20 x 50 x 400) = 284 Volts
104
Therefore Maximum Burden = 284 / 100
= 2.84 Ohms
Hence Maximum CONNECTED burden :
2.84 - 0.31 = 2.53 Ohms
s
19
Knee
Point
Material : Cross
Flux Density (B)
Tesla (Wb/m2)
0 0.02 0.04 0.06 0.08 0.1 0.12
1.8
1.6
1.4
1.2
1.0
0.8
0.6
0.4
0.2
0
Magnetizing Force (H)
Ampere-Turns / mm
(Magnetic Field Strength : H, A/m)
Mag Curves
s
20
ES
(Secondary
E.M.F.)
(Magnetising Current) Ie
ES = 4.44 N f A B = Kv B
where :- Kv = 4.44 N f A
(B in Wb/m2 ; A in m2)
Ie = H . L = Ki . H
N
where :-
Ki = L/N
L = mean magnetic path
in metres
H = amp. Turns / metre
Ie = Amps
Mag Curves Cont...
s
21
Multiply
By
K
V
to
obtain
Volts
Multiply By Ki to obtain Amps
B
H
KV x B = Volts (E)
Ki x H = Amps
Units : KV = E = 4.44 N f A (m2 x turns)
B
Ki = Ie = L (m / turns)
H N
Note : L = Mean Magnetic Path
Mean Magnetic Path = 2r
r = ro - ri + ri
2
ro
ri
r
Mag Curves Cont...
s
22
Magnetisation Characteristic (1)
C.T Ratio 100/5 A connected to CDG11.
Relay Burden = 2 VA (at 10% rated I)
Problem :-
Calculate the necessary values of Kv and Ki to provide the
necessary output at ten times setting
(Assume maximum flux density before saturation = 1.6 Tesla)
s
23
Magnetisation Characteristic (2)
(i) Bar Type Primary
CDG current setting = 10% = 0.5 A
Volts required to operate relay = 2 / 0.5 = 4 V
Therefore voltage required at 10 times setting = 10 x 4 = 40 V
Hence for a flux density of 1.6T the C.T. should have an output of at
least 40 V.
With bar primary, number of turns = 20.
Ek = 4.44 B A f N
= 4.44 x 1.6 x A x 10-4 x 20 x 50
A = 40 / 0.71 = 56.3 cm2
Assume a stacking factor of 0.92
=> Total C.S.A. = 61.2 cm2
Assume I.D. = 18cm, O.D. = 30cm & Depth = 10.2cm
KV = AN / 45 = (56.3 x 20) / 45 = 25
Ki = L / N = 24TT / 20 = 3.77 cm / turn
s
24
Magnetisation Characteristic (3)
(ii) Wound Type Primary
Assume primary has 5 turns
- Therefore secondary has 100 turns
Ek = 4.44 B A f N
= 4.44 x 1.6 x A x 10-4 x 100 x 50
A = 40 / 3.55 = 11.26 cm2
Assume a stacking factor of 0.92
=> Total C.S.A. = 12.24 cm2
Assume I.D. = 18cm, O.D. = 30cm &
Depth = 2.04cm
KV = AN / 45 = (11.26 x 100) / 45 = 25
Ki = L / N = 24TT / 100 = 0.754 cm/turn
s
25
Low Reactance Design
With evenly distributed winding the leakage
reactance is very low and usually ignored.
Thus ZCT ~ RCT
s
26
Knee-Point Voltage Definition
Iek
+10% Vk
+
50
% Iek
Vk
Exciting Current (Ie)
Exciting
Voltage
(V
S
)
s
27
C.T. Equivalent Circuit
Zb
N
P1
ZCT
S1
Vt
Ze
Is
Ip
Ip/N
Ie
Es
Ip = Primary rating of C.T. Ie = Secondary excitation current
N = C.T. ratio Is = Secondary current
Zb = Burden of relays in ohms Es = Secondary excitation voltage
(r+jx) Vt = Secondary terminal voltage
ZCT = C.T. secondary winding across the C.T. terminals
impedance in ohms (r+jx)
Ze = Secondary excitation
impedance in ohms (r+jx)
s
28
Phasor Diagram
Ic
Ep
Ip/N
Ie
Is
Ie
Im
Es

Ep = Primary voltage Im = Magnetising current
Es = Secondary voltage Ie = Excitation current
 = Flux Ip = Primary current
Ic = Iron losses (hysteresis & Is = Secondary current
eddy currents)
s
29
Saturation
s
30
Steady State Saturation (1)
100A
100/1
1A
E 1 ohm
E =
1V
100A
100/1
1A
E
10
ohm E =
10V
100A
100/1
1A
E
100
ohm
E =
100V
100A
100/1
1A
E
1000
ohm
E = ?
s
31
Steady State Saturation (2)
Time
+V
-V
0V
A

Assume :- Zero residual flux
Switch on at point A
s
32
Steady State Saturation (3)
Time
+V
-V
0V
C

Assume :- Zero residual flux
Switch on at point C
s
33
Steady State Saturation (4)
Time
+V
-V
0V
B

Assume :- Zero residual flux
Switch on at point B
s
34
Steady State Saturation (5)
Mag Core
Saturation
+V
-V
0V
Mag Core
Saturation
Time
s
35
Steady State Saturation (6)

Time
+V
-V
0V
+V
-V
0V
Mag Core
Saturation
Mag Core
Saturation
Output lost due to
steady state
saturation
Actual Output
Voltage
Prospective
Output Voltage
s
36
Transient Saturation
L1
R1
Z1
i1
v = VM sin (wt + )
v = VM sin (wt + )
TRANSIENT
STATE
STEADY
e
.
)
-
(
sin
-
)
-
(wt
sin
e
.
)
-
(
sin
Z
V
)
-
(wt
sin
Z
V
i
1
L
/
t
1
R
-
1
1
1
L
/
t
1
R
-
1
M
1
M
1



















ˆ
ˆ
1
M
1
1
1
1
-
1
2
1
1
Z
V
R
wL
tan
L
w
R
Z
-
:
where






ˆ
2
2
s
37
Transient Saturation : Resistive Burden
FLUX
CURRENT
Primary Current
Secondary Current
Actual Flux
Mag Current
Required Flux
ØSAT
0
0
10 20 30 40 50 60 70 80 M
s
38
CT Types
s
39
Current Transformer Function
Two basic groups of C.T.
 Measurement C.T.s
 Limits well defined
 Protection C.T.s
 Operation over wide range of currents
Note : They have DIFFERENT characteristics
s
40
Measuring C.T.s
B
Protection C.T.
Measuring C.T.
H
Measuring C.T.s
 Require good accuracy up to
approx 120% rated current.
 Require low saturation level to
protect instruments, thus use
nickel iron alloy core with low
exciting current and knee
point at low flux density.
Protection C.T.s
 Accuracy not as important as
above.
 Require accuracy up to many
times rated current, thus use
grain orientated silicon steel
with high saturation flux
density.
s
41
CT Errors
s
42
Current Transformer Errors
ZS
Zb
Ze
Is
Ip
Ie
Es
Ip/N
Ie
Iq
Ie
Es

Ep
Ic’
Ip/N
Ie
Is
Is
s
43
Current Transformer Error
Transformer Error vs Primary Current
Error
Rated
Current
Primary Current
Phase Error
Current Error
Errors can be reduced by :-
1. Using better quality magnetic material
2. Shortening the mean magnetic path
3. Reducing the flux density in the core
s
44
Current Transformer Errors
Current Error Definition.
Error in magnitude of the secondary current, expressed as a percentage, given by
:-
Current error % = 100 (kn IS - Ip)
Ip
kn = Rated Transmission Ratio
Ip = Actual Primary Current
Is = Actual Secondary Current
Current Error is :-
+ve : When secondary current is HIGHER than the rated
nominal value.
-ve : When secondary current is LOWER than the rated
nominal value.
s
45
Current Transformer Errors
Phase Error Definition.
The displacement in phase between the primary and secondary
current vectors, the direction of the vectors being chosen so the
angle is zero for a perfect transformer.
Phase Error is :-
+ve : When secondary current vector LEADS the
primary current vector.
-ve : When secondary current vector LAGS the
primary current vector.
s
46
Current Transformer Ratings
s
47
Current Transformer Ratings (1)
Rated Burden
 Value of burden upon which accuracy claims are based
 Usually expressed in VA
 Preferred values :-
2.5, 5, 7.5, 10, 15, 30 VA
Continuous Rated Current
 Usually rated primary current
Short Time Rated Current
 Usually specified for 0.5, 1, 2 or 3 secs
 No harmful effects
 Usually specified with the secondary shorted
Rated Secondary Current
 Commonly 1, 2 or 5 Amps
s
48
Current Transformer Ratings (2)
Rated Dynamic Current
Ratio of :-
IPEAK : IRATED
(IPEAK = Maximum current C.T. can withstand without
suffering any damage).
Accuracy Limit Factor - A.L.F.
(or Saturation Factor)
Ratio of :-
IPRIMARY : IRATED
up to which the C.T. rated accuracy is maintained.
e.g. 200 / 1A C.T. with an A.L.F. = 5 will maintain its
accuracy for IPRIMARY < 5 x 200 = 1000 Amps
s
49
Choice of Ratio
Clearly, the primary rating
IP  normal current in the circuit
if thermal (continuous) rating is not to be exceeded.
Secondary rating is usually 1 or 5 Amps (0.5 and 2 Amp
are also used).
If secondary wiring route length is greater than 30
metres - 1 Amp secondaries are preferable.
A practical maximum ratio is 3000 / 1.
If larger primary ratings are required (e.g. for large
generators), can use 20 Amp secondary together with
interposing C.T.
e.g. 5000 / 20 - 20 / 1
s
50
Current Transformer Designation
Class “P”
Specified in terms of :-
i) Rated burden
ii) Class (5P or 10P)
iii) Accuracy limit factor (A.L.F.)
Example :-
15 VA 10P 20
To convert VA and A.L.F. into useful volts
Vuseful  VA x ALF
IN
s
51
BS 3938
Classes :- 5P, 10P. ‘X’
Designation (Classes 5P, 10P)
(Rated VA) (Class) (ALF)
Multiple of rated current (IN) up to which declared
accuracy will be maintained with rated burden
connected.
5P or 10P.
Value of burden in VA on which accuracy claims
are based.
(Preferred values :- 2.5, 5, 7.5, 10, 15, 30 VA)
ZB = rated burden in ohms
= Rated VA
IN
2
s
52
Protection Current Transformers
Table 3 - Limits of Error for Accuracy Class 5P and 10P
Phase Displacement at
rated primary current
Accuracy
Class
Current Error at
rated primary
current (%) Minutes Centiradians
Composite Error
(%) at rated
accuracy limit
primary current
5P
10P
1
3
60 1.8 5
10
s
53
Interposing CT
s
54
Interposing CT
NP NS ZB
ZCT
LINE
CT
Burden presented to line CT
= ZCT + ZB x NP
2
NS
2
s
55
‘Seen’ by main ct :- 0.1 + (1)2 (2 x 0.5 + 0.4 + 1) = 0.196
(5)
Burden on main ct :- I2
R = 25 x 0.196 = 4.9VA
Burden on a main ct of required ratio :-
Total connected burden = 2 x 0.5 + 1 = 2
Connected VA = I2
R = 2
 The I/P ct consumption was about 3VA.
NEG. 1A
0.1
0.1
 0.4
 1VA @ 1A
 1.0
R
0.5

5A
500/5
0.5

R
1.0

500/1
s
56
Current Transformer Designation
s
57
Current Transformer Designation
Class “X”
Specified in terms of :-
i) Rated Primary Current
ii) Turns Ratio (max. error = 0.25%)
iii) Knee Point Voltage
iv) Mag Current (at specified voltage)
v) Secondary Resistance (at 75°C)
s
58
Choice of Current Transformer
 Instantaneous Overcurrent Relays
 Class P Specification
 A.L.F. = 5 usually sufficient
 For high settings (5 - 15 times C.T rating)
A.L.F. = relay setting
 IDMT Overcurrent Relays
 Generally Class 10P
 Class 5P where grading is critical
Note : A.L.F. X V.A < 150
 Differential Protection
 Class X Specification
 Protection relies on balanced C.T output
s
59
Selection Example
s
60
Burden on Current Transformers
RCT
RCT
RCT
IF
IF
RL
RL RL
RL
Rr Rr Rr
Rr
RCT
RCT
RCT
IF
IF RL
RL RL
RL
Rr Rr Rr
Rr
1. Overcurrent : RCT + RL + Rr 2. Earth : RCT + 2RL + 2Rr
s
61
Overcurrent Relay VK Check
Assume values : If max = 7226 A RCT = 0.26 
C.T = 1000 / 5 A Rr = 0.02 
7.5 VA 10P 20 RL = 0.15 
Check to see if VK is large enough :
Required voltage = VS = IF (RCT + Rr + RL)
= 7226 x 5 (0.26 + 0.02 + 0.15) = 36.13 x 0.43 = 15.54 Volts
1000
Current transformer VK approximates to :-
VK ~ VA x ALF + RCT x IN x ALF
In
= 7.5 x 20 + 0.26 x 5 x 20 = 56 Volts
5
VK > VS therefore C.T VK is adequate
s
62
Earth Fault Relay VK Check
Assume values : As per overcurrent.
Note For earth fault applications require to be able to pass
10 x relay setting.
Check to see if VK is large enough : VK = 56 Volts
Total load connected = 2RL + RCT + 2Rr
= 2 x 0.15 + 0.26 + 2 x 0.02
 Maximum secondary current
= 56 = 93.33A
0.6
Typical earth fault setting = 30% IN
= 1.5A
Therefore C.T can provide > 60 x setting
C.T VK is adequate
s
63
Voltage Transformers
s
64
Voltage Transformers
 Provides isolation from high voltages
 Must operate in the linear region to prevent
accuracy problems - Do not over specify VT
 Must be capable of driving the burden, specified by
relay manufacturer
 Protection class VT will suffice
s
65
Typical Working Points on a B-H Curve
Flux Density
‘B’
Magnetising Force
AT/m
Cross C.T.’s & Power Transformers
Saturation
V.T.’s
Protection C.T. (at full load)
‘H’
1000 2000 3000
1.6
1.0
0.5
Tesla
s
66
Types of Voltage Transformers
Two main basic types are available:
 Electromechanical VT`s
 Similar to a power transformer
 May not be economical above 132kV
 Capacitor VT`s (CVT)
 Used at high voltages
 Main difference is that CVT has a
capacitor divider on the front end.
s
67
Electromagnetic Voltage Transformer
ZB
(burden)
NP / NS
= Kn
VP
RP
IP
LP
LM
IM IC
Re VS
EP = ES
Ie
RS
IS
LS
s
68
Basic Circuit of a Capacitor V.T.
C1
C2
VP
VC2 Vi
L
T
VS
ZB
s
69
Ferro-resonance
 The exciting impedance of auxiliary transformer T and the
capacitance of the potential divider form a resonant circuit.
 May oscillate at a sub normal frequency
 Resonant frequency close to one-third value of system
frequency
 Manifests itself as a rise in output voltage, r.m.s. value
being 25 to 50 per cent above normal value
 Use resistive burden to dampen the effect
s
70
VT Earthing
 Primary Earthing
 Earth at neutral point
 Required for phase-ground measurement at relay
 Secondary Earthing
 Required for safety
 Earth at neutral point
 When no neutral available - earth yellow phase
(VERY COMMON)
 No relevance for protection operation
s
71
VT Construction
 5 Limb
 Used when zero sequence measurement is
required (primary must also be earthed)
 Three Single Phase
 Used when zero sequence measurement is
required (primary must also be earthed)
 3 Limb
 Used where no zero sequence measurement is
required
 V Connected (Open Delta)
 No yellow phase
 Cost effective
 Two phase-phase voltages
 No ground fault measurement
s
72
VT Connections
a b c
a b c
A B C N
da dn
a b c n
V Connected
Broken Delta
s
73
VT Construction - Residual
 Used to detect earthfault
 Useful where current operated protection cannot be
used
 Connect all secondary windings in series
 Sometimes referred to as `Broken Delta`
 Residual Voltage is 3 times zero sequence voltage
 VT must be 5 Limb or 3 single phase units
 Primary winding must be earthed
s
74
Voltage Factors Vf
 Vf is the upper limit of operating voltage.
 Important for correct relay operation.
 Earthfaults cause displacement of system neutral,
particularly in the case of unearthed or impedance
earthed systems.
s
75
Protection of VT’s
 H.R.C. Fuses on primary side
 Fuses may not have sufficient interrupting capability
 Use MCB
GRID
Technical Institute
This document is the exclusive property of Alstom Grid and shall not be
transmitted by any means, copied, reproduced or modified without the prior
written consent of Alstom Grid Technical Institute. All rights reserved.

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Current-Transformer-ppt.ppt

  • 1. GRID Technical Institute This document is the exclusive property of Alstom Grid and shall not be transmitted by any means, copied, reproduced or modified without the prior written consent of Alstom Grid Technical Institute. All rights reserved.
  • 2. GRID Technical Institute This document is the exclusive property of Alstom Grid and shall not be transmitted by any means, copied, reproduced or modified without the prior written consent of Alstom Grid Technical Institute. All rights reserved. Current Transformers
  • 3. s 3 Current Transformer Function  Reduce power system current to lower value for measurement.  Insulate secondary circuits from the primary.  Permit the use of standard current ratings for secondary equipment. REMEMBER : The relay performance DEPENDS on the C.T which drives it !
  • 4. s 4 Instrument Transformer Standards IEC IEC 185:1987 CTs IEC 44-6:1992 CTs IEC 186:1987 VTs EUROPEAN BS 7625 VTs BS 7626 CTs BS 7628 CT+VT BRITISH BS 3938:1973 CTs BS 3941:1975 VTs AMERICAN ANSI C51.13.1978 CTs and VTs CANADIAN CSA CAN3-C13-M83 CTs and VTs AUSTRALIAN AS 1675-1986 CTs
  • 5. s 5 Current Transformer Construction BAR PRIMARY WOUND PRIMARY Primary Secondary
  • 6. s 6 Bar Primary Type Current Transformer(s) Primary Conductor Ring Type Current Transformer Primary Insulation Core Secondary Winding
  • 7. s 7 Typical Protection Bar-Primary Current Transformer RELAY 1A ? 1000A ? 1000 turns sec. ? Insulation covered wire, giving inter-turn insulation & secondary to core insulation Generator, or system voltage source ‘Feeder’ or ‘Bus-bar’ forming 1 turn of primary circuit Insulation to stop flash-over from HV primary to core & secondary circuit Laminated ‘strip’ wound steel toroidal core
  • 9. s 9 Differential Protection (1) P2 P1 IFP1 IFS IFS1 S2 S1 P1 P2 S1 S2 R IFP2 IFS2 Operation for Internal Faults
  • 10. s 10 Differential Protection (2) P2 P1 IFP IFS S2 S1 P1 P2 S1 S2 R IFS Stability for External Faults
  • 11. s 11 Differential Protection (3) IFP IFS S2 S1 S1 S2 R Maloperation due to Incorrect Connections IFP IFS 2IFS
  • 13. s 13 Basic Theory (1) IP IS R 1 Primary Turn N Secondary Turns For an ideal transformer :- PRIMARY AMPERE TURNS = SECONDARY AMPERE TURNS  IP = N x IS
  • 14. s 14 Basic Theory (2) IP IS R ES For IS to flow through R there must be some potential - ES = the E.M.F. ES = IS x R ES is produced by an alternating flux in the core. ES  dØ dt
  • 16. s 16 Basic Formulae Circuit Voltage Required : ES = IS (ZB + ZCT + ZL) Volts where :- IS = Secondary Current of C.T. (Amperes) ZB = Connected External Burden (Ohms) ZCT = C.T Winding Impedance (Ohms) ZL = Lead Loop Resistance (Ohms) Require EK > ES
  • 17. s 17 Basic Formulae (1) Maximum Secondary Winding Voltage : EK = 4.44 x B A f N Volts …. 1 where :- EK = Secondary Induced Volts (knee-point voltage) B = Flux Density (Tesla) A = Core Cross-sectional Area (square metres) f = System Frequency (Hertz) N = Number of Turns
  • 18. s 18 Simple Selection Example Example Calculation : C.T. Ratio = 2000 / 5A Max Flux Density = 1.6 T RS = 0.31 Ohms Core C.S.A = 20 cm2 IMAX Primary = 40 kA Find maximum secondary burden permissible if no saturation is to occur. Solution : N = 2000 / 5 = 400 Turns IS MAX = 40,000 / 400 = 100 Amps From equation 1 the knee point voltage is :- VK = (4.44 x 1.6 x 20 x 50 x 400) = 284 Volts 104 Therefore Maximum Burden = 284 / 100 = 2.84 Ohms Hence Maximum CONNECTED burden : 2.84 - 0.31 = 2.53 Ohms
  • 19. s 19 Knee Point Material : Cross Flux Density (B) Tesla (Wb/m2) 0 0.02 0.04 0.06 0.08 0.1 0.12 1.8 1.6 1.4 1.2 1.0 0.8 0.6 0.4 0.2 0 Magnetizing Force (H) Ampere-Turns / mm (Magnetic Field Strength : H, A/m) Mag Curves
  • 20. s 20 ES (Secondary E.M.F.) (Magnetising Current) Ie ES = 4.44 N f A B = Kv B where :- Kv = 4.44 N f A (B in Wb/m2 ; A in m2) Ie = H . L = Ki . H N where :- Ki = L/N L = mean magnetic path in metres H = amp. Turns / metre Ie = Amps Mag Curves Cont...
  • 21. s 21 Multiply By K V to obtain Volts Multiply By Ki to obtain Amps B H KV x B = Volts (E) Ki x H = Amps Units : KV = E = 4.44 N f A (m2 x turns) B Ki = Ie = L (m / turns) H N Note : L = Mean Magnetic Path Mean Magnetic Path = 2r r = ro - ri + ri 2 ro ri r Mag Curves Cont...
  • 22. s 22 Magnetisation Characteristic (1) C.T Ratio 100/5 A connected to CDG11. Relay Burden = 2 VA (at 10% rated I) Problem :- Calculate the necessary values of Kv and Ki to provide the necessary output at ten times setting (Assume maximum flux density before saturation = 1.6 Tesla)
  • 23. s 23 Magnetisation Characteristic (2) (i) Bar Type Primary CDG current setting = 10% = 0.5 A Volts required to operate relay = 2 / 0.5 = 4 V Therefore voltage required at 10 times setting = 10 x 4 = 40 V Hence for a flux density of 1.6T the C.T. should have an output of at least 40 V. With bar primary, number of turns = 20. Ek = 4.44 B A f N = 4.44 x 1.6 x A x 10-4 x 20 x 50 A = 40 / 0.71 = 56.3 cm2 Assume a stacking factor of 0.92 => Total C.S.A. = 61.2 cm2 Assume I.D. = 18cm, O.D. = 30cm & Depth = 10.2cm KV = AN / 45 = (56.3 x 20) / 45 = 25 Ki = L / N = 24TT / 20 = 3.77 cm / turn
  • 24. s 24 Magnetisation Characteristic (3) (ii) Wound Type Primary Assume primary has 5 turns - Therefore secondary has 100 turns Ek = 4.44 B A f N = 4.44 x 1.6 x A x 10-4 x 100 x 50 A = 40 / 3.55 = 11.26 cm2 Assume a stacking factor of 0.92 => Total C.S.A. = 12.24 cm2 Assume I.D. = 18cm, O.D. = 30cm & Depth = 2.04cm KV = AN / 45 = (11.26 x 100) / 45 = 25 Ki = L / N = 24TT / 100 = 0.754 cm/turn
  • 25. s 25 Low Reactance Design With evenly distributed winding the leakage reactance is very low and usually ignored. Thus ZCT ~ RCT
  • 26. s 26 Knee-Point Voltage Definition Iek +10% Vk + 50 % Iek Vk Exciting Current (Ie) Exciting Voltage (V S )
  • 27. s 27 C.T. Equivalent Circuit Zb N P1 ZCT S1 Vt Ze Is Ip Ip/N Ie Es Ip = Primary rating of C.T. Ie = Secondary excitation current N = C.T. ratio Is = Secondary current Zb = Burden of relays in ohms Es = Secondary excitation voltage (r+jx) Vt = Secondary terminal voltage ZCT = C.T. secondary winding across the C.T. terminals impedance in ohms (r+jx) Ze = Secondary excitation impedance in ohms (r+jx)
  • 28. s 28 Phasor Diagram Ic Ep Ip/N Ie Is Ie Im Es  Ep = Primary voltage Im = Magnetising current Es = Secondary voltage Ie = Excitation current  = Flux Ip = Primary current Ic = Iron losses (hysteresis & Is = Secondary current eddy currents)
  • 30. s 30 Steady State Saturation (1) 100A 100/1 1A E 1 ohm E = 1V 100A 100/1 1A E 10 ohm E = 10V 100A 100/1 1A E 100 ohm E = 100V 100A 100/1 1A E 1000 ohm E = ?
  • 31. s 31 Steady State Saturation (2) Time +V -V 0V A  Assume :- Zero residual flux Switch on at point A
  • 32. s 32 Steady State Saturation (3) Time +V -V 0V C  Assume :- Zero residual flux Switch on at point C
  • 33. s 33 Steady State Saturation (4) Time +V -V 0V B  Assume :- Zero residual flux Switch on at point B
  • 34. s 34 Steady State Saturation (5) Mag Core Saturation +V -V 0V Mag Core Saturation Time
  • 35. s 35 Steady State Saturation (6)  Time +V -V 0V +V -V 0V Mag Core Saturation Mag Core Saturation Output lost due to steady state saturation Actual Output Voltage Prospective Output Voltage
  • 36. s 36 Transient Saturation L1 R1 Z1 i1 v = VM sin (wt + ) v = VM sin (wt + ) TRANSIENT STATE STEADY e . ) - ( sin - ) - (wt sin e . ) - ( sin Z V ) - (wt sin Z V i 1 L / t 1 R - 1 1 1 L / t 1 R - 1 M 1 M 1                    ˆ ˆ 1 M 1 1 1 1 - 1 2 1 1 Z V R wL tan L w R Z - : where       ˆ 2 2
  • 37. s 37 Transient Saturation : Resistive Burden FLUX CURRENT Primary Current Secondary Current Actual Flux Mag Current Required Flux ØSAT 0 0 10 20 30 40 50 60 70 80 M
  • 39. s 39 Current Transformer Function Two basic groups of C.T.  Measurement C.T.s  Limits well defined  Protection C.T.s  Operation over wide range of currents Note : They have DIFFERENT characteristics
  • 40. s 40 Measuring C.T.s B Protection C.T. Measuring C.T. H Measuring C.T.s  Require good accuracy up to approx 120% rated current.  Require low saturation level to protect instruments, thus use nickel iron alloy core with low exciting current and knee point at low flux density. Protection C.T.s  Accuracy not as important as above.  Require accuracy up to many times rated current, thus use grain orientated silicon steel with high saturation flux density.
  • 43. s 43 Current Transformer Error Transformer Error vs Primary Current Error Rated Current Primary Current Phase Error Current Error Errors can be reduced by :- 1. Using better quality magnetic material 2. Shortening the mean magnetic path 3. Reducing the flux density in the core
  • 44. s 44 Current Transformer Errors Current Error Definition. Error in magnitude of the secondary current, expressed as a percentage, given by :- Current error % = 100 (kn IS - Ip) Ip kn = Rated Transmission Ratio Ip = Actual Primary Current Is = Actual Secondary Current Current Error is :- +ve : When secondary current is HIGHER than the rated nominal value. -ve : When secondary current is LOWER than the rated nominal value.
  • 45. s 45 Current Transformer Errors Phase Error Definition. The displacement in phase between the primary and secondary current vectors, the direction of the vectors being chosen so the angle is zero for a perfect transformer. Phase Error is :- +ve : When secondary current vector LEADS the primary current vector. -ve : When secondary current vector LAGS the primary current vector.
  • 47. s 47 Current Transformer Ratings (1) Rated Burden  Value of burden upon which accuracy claims are based  Usually expressed in VA  Preferred values :- 2.5, 5, 7.5, 10, 15, 30 VA Continuous Rated Current  Usually rated primary current Short Time Rated Current  Usually specified for 0.5, 1, 2 or 3 secs  No harmful effects  Usually specified with the secondary shorted Rated Secondary Current  Commonly 1, 2 or 5 Amps
  • 48. s 48 Current Transformer Ratings (2) Rated Dynamic Current Ratio of :- IPEAK : IRATED (IPEAK = Maximum current C.T. can withstand without suffering any damage). Accuracy Limit Factor - A.L.F. (or Saturation Factor) Ratio of :- IPRIMARY : IRATED up to which the C.T. rated accuracy is maintained. e.g. 200 / 1A C.T. with an A.L.F. = 5 will maintain its accuracy for IPRIMARY < 5 x 200 = 1000 Amps
  • 49. s 49 Choice of Ratio Clearly, the primary rating IP  normal current in the circuit if thermal (continuous) rating is not to be exceeded. Secondary rating is usually 1 or 5 Amps (0.5 and 2 Amp are also used). If secondary wiring route length is greater than 30 metres - 1 Amp secondaries are preferable. A practical maximum ratio is 3000 / 1. If larger primary ratings are required (e.g. for large generators), can use 20 Amp secondary together with interposing C.T. e.g. 5000 / 20 - 20 / 1
  • 50. s 50 Current Transformer Designation Class “P” Specified in terms of :- i) Rated burden ii) Class (5P or 10P) iii) Accuracy limit factor (A.L.F.) Example :- 15 VA 10P 20 To convert VA and A.L.F. into useful volts Vuseful  VA x ALF IN
  • 51. s 51 BS 3938 Classes :- 5P, 10P. ‘X’ Designation (Classes 5P, 10P) (Rated VA) (Class) (ALF) Multiple of rated current (IN) up to which declared accuracy will be maintained with rated burden connected. 5P or 10P. Value of burden in VA on which accuracy claims are based. (Preferred values :- 2.5, 5, 7.5, 10, 15, 30 VA) ZB = rated burden in ohms = Rated VA IN 2
  • 52. s 52 Protection Current Transformers Table 3 - Limits of Error for Accuracy Class 5P and 10P Phase Displacement at rated primary current Accuracy Class Current Error at rated primary current (%) Minutes Centiradians Composite Error (%) at rated accuracy limit primary current 5P 10P 1 3 60 1.8 5 10
  • 54. s 54 Interposing CT NP NS ZB ZCT LINE CT Burden presented to line CT = ZCT + ZB x NP 2 NS 2
  • 55. s 55 ‘Seen’ by main ct :- 0.1 + (1)2 (2 x 0.5 + 0.4 + 1) = 0.196 (5) Burden on main ct :- I2 R = 25 x 0.196 = 4.9VA Burden on a main ct of required ratio :- Total connected burden = 2 x 0.5 + 1 = 2 Connected VA = I2 R = 2  The I/P ct consumption was about 3VA. NEG. 1A 0.1 0.1  0.4  1VA @ 1A  1.0 R 0.5  5A 500/5 0.5  R 1.0  500/1
  • 57. s 57 Current Transformer Designation Class “X” Specified in terms of :- i) Rated Primary Current ii) Turns Ratio (max. error = 0.25%) iii) Knee Point Voltage iv) Mag Current (at specified voltage) v) Secondary Resistance (at 75°C)
  • 58. s 58 Choice of Current Transformer  Instantaneous Overcurrent Relays  Class P Specification  A.L.F. = 5 usually sufficient  For high settings (5 - 15 times C.T rating) A.L.F. = relay setting  IDMT Overcurrent Relays  Generally Class 10P  Class 5P where grading is critical Note : A.L.F. X V.A < 150  Differential Protection  Class X Specification  Protection relies on balanced C.T output
  • 60. s 60 Burden on Current Transformers RCT RCT RCT IF IF RL RL RL RL Rr Rr Rr Rr RCT RCT RCT IF IF RL RL RL RL Rr Rr Rr Rr 1. Overcurrent : RCT + RL + Rr 2. Earth : RCT + 2RL + 2Rr
  • 61. s 61 Overcurrent Relay VK Check Assume values : If max = 7226 A RCT = 0.26  C.T = 1000 / 5 A Rr = 0.02  7.5 VA 10P 20 RL = 0.15  Check to see if VK is large enough : Required voltage = VS = IF (RCT + Rr + RL) = 7226 x 5 (0.26 + 0.02 + 0.15) = 36.13 x 0.43 = 15.54 Volts 1000 Current transformer VK approximates to :- VK ~ VA x ALF + RCT x IN x ALF In = 7.5 x 20 + 0.26 x 5 x 20 = 56 Volts 5 VK > VS therefore C.T VK is adequate
  • 62. s 62 Earth Fault Relay VK Check Assume values : As per overcurrent. Note For earth fault applications require to be able to pass 10 x relay setting. Check to see if VK is large enough : VK = 56 Volts Total load connected = 2RL + RCT + 2Rr = 2 x 0.15 + 0.26 + 2 x 0.02  Maximum secondary current = 56 = 93.33A 0.6 Typical earth fault setting = 30% IN = 1.5A Therefore C.T can provide > 60 x setting C.T VK is adequate
  • 64. s 64 Voltage Transformers  Provides isolation from high voltages  Must operate in the linear region to prevent accuracy problems - Do not over specify VT  Must be capable of driving the burden, specified by relay manufacturer  Protection class VT will suffice
  • 65. s 65 Typical Working Points on a B-H Curve Flux Density ‘B’ Magnetising Force AT/m Cross C.T.’s & Power Transformers Saturation V.T.’s Protection C.T. (at full load) ‘H’ 1000 2000 3000 1.6 1.0 0.5 Tesla
  • 66. s 66 Types of Voltage Transformers Two main basic types are available:  Electromechanical VT`s  Similar to a power transformer  May not be economical above 132kV  Capacitor VT`s (CVT)  Used at high voltages  Main difference is that CVT has a capacitor divider on the front end.
  • 67. s 67 Electromagnetic Voltage Transformer ZB (burden) NP / NS = Kn VP RP IP LP LM IM IC Re VS EP = ES Ie RS IS LS
  • 68. s 68 Basic Circuit of a Capacitor V.T. C1 C2 VP VC2 Vi L T VS ZB
  • 69. s 69 Ferro-resonance  The exciting impedance of auxiliary transformer T and the capacitance of the potential divider form a resonant circuit.  May oscillate at a sub normal frequency  Resonant frequency close to one-third value of system frequency  Manifests itself as a rise in output voltage, r.m.s. value being 25 to 50 per cent above normal value  Use resistive burden to dampen the effect
  • 70. s 70 VT Earthing  Primary Earthing  Earth at neutral point  Required for phase-ground measurement at relay  Secondary Earthing  Required for safety  Earth at neutral point  When no neutral available - earth yellow phase (VERY COMMON)  No relevance for protection operation
  • 71. s 71 VT Construction  5 Limb  Used when zero sequence measurement is required (primary must also be earthed)  Three Single Phase  Used when zero sequence measurement is required (primary must also be earthed)  3 Limb  Used where no zero sequence measurement is required  V Connected (Open Delta)  No yellow phase  Cost effective  Two phase-phase voltages  No ground fault measurement
  • 72. s 72 VT Connections a b c a b c A B C N da dn a b c n V Connected Broken Delta
  • 73. s 73 VT Construction - Residual  Used to detect earthfault  Useful where current operated protection cannot be used  Connect all secondary windings in series  Sometimes referred to as `Broken Delta`  Residual Voltage is 3 times zero sequence voltage  VT must be 5 Limb or 3 single phase units  Primary winding must be earthed
  • 74. s 74 Voltage Factors Vf  Vf is the upper limit of operating voltage.  Important for correct relay operation.  Earthfaults cause displacement of system neutral, particularly in the case of unearthed or impedance earthed systems.
  • 75. s 75 Protection of VT’s  H.R.C. Fuses on primary side  Fuses may not have sufficient interrupting capability  Use MCB
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