MiCOM P54X - LINE DIFFERENTIAL Enter The Value In Yellow Cells Only

RELAY SETTING

Is1 = 0.225 0 0.23

2 LINE DIFF CHARCTERISTICS
Is2 = 0.25 0.25
k1 = 10.00% 0.5 0.28
10.00
k2 = 65.00% 0.75 0.30
1
Ph CT Correction = 9.50 1 0.33
1
Remote correction factor = 1.25 0.35
Disabled 9.00
Test Mode = 1.5 0.38

DIFF CURRENT (Id)

1.75 0.40
Charcteristics 8.50 2 0.43
2.25 0.59
Pickup |Ιdiff| > Ιs1 / (1 - 0.5 k1) 8.00 2.5 0.75
Slope 1 |Ιdiff| > k1.| Ιbias| + Ιs1 2.75 0.91
7.50
Slope 2 |Ιdiff| > k2.| Ιbias| - (k2 - k1). Ιs2 + Ιs1 3 1.08
3.25 1.24
Operation (Pickup) 7.00
3.5 1.40
Min. Op. Current =
0.237
Amps 3.75 1.56
6.50
4 1.73
Slope check 4.25 1.89
6.00
Current Injection = LOCAL RELAY 4.5 2.05
Injected Bias Current = 1.000 Amps 5.50 4.75 2.21
Expected Diff. Current = 0.275 Amps Slope 1 5 2.38
5.00 5.25 2.54
Slope Calculation 5.5 2.70
2000 4.50
CT Ratio = = /1 5.75 2.86
1
Relay 1 Current = = 0.55 (Injected sec) 6 3.03
2000 4.00
Relay 2 Current = = 1100 (Injected sec) 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.2B5IA2.S5 2C.U75RR3E3N.T25(3Ib.5)
6.25 3.19 3.75 4 4.25 4.5 4.75 5 5.25 5.5 5.75 6 6.25 6.5
1550
Relay 1 Primary = = 900 (Calculated Primary) 3.50 6.5 3.35
Relay 2 Primary= = 0.29 (Calculated Primary)
0.775 3.00
Calculated Bias = (Calculated Primary) Secondary
0.45
Calculated Differential = (Calculated Primary) Secondary 2.50
Calculated Slope =
2.00

1.50

1.00

0.50

0.00
 Ѳ R - Axis R'' - Axis R - Axis R'' - Axis
ZONE REACH Z R Ph R Gd TIME X - Axis
(Ph) (Ph) (Gd) (Gd) IMPORTANCE

1 F 3.95 80 4 8 0.000 3.890 2.000 0.500 4.938 1.235 R - Axis = Resistance / (1+Ke)

2 F 7.34 80 6 12 0.600 7.228 3.000 0.750 7.407 1.852 Y - Axis = Impedence * sin(Ѳ)
3 F 11.29 80 12 24 1.000 11.118 6.000 1.500 14.815 3.704 R'' - Axis = 25% of R - Axis
P F 12 70 15 0 0.000 11.276 7.500 1.875 0.000 0.000 Y'' - Axis = 0 ̷̷̸ 330
4
For Phase R Ke is 1 12
Fault 70 15 15 1.000 11.276 7.500 1.875 9.259 2.315

Ke & KѲ is Grounding Factor

Ke 0.62 KѲ -6 Z TiltѲ -3 Zone P is Forward Reverse Selectable

Enter The Value In Yellow Cells Only

For Phase Fault Grabh :

X
LINE / ZONE ZONE 1 ZONE 2 ZONE 3 ZONE P ZONE 4

LINE 1 0.00 330 0.00 330 0.00 330 0.00 330 -11.28 177

LINE 2 2.000 80 3.000 80 6.000 80 7.500 70 -7.500 70

LINE 3 3.890 177 7.228 177 11.118 177 11.276 177 0.00 330

LINE 4 -0.500 260 -0.750 260 -1.500 260 -1.875 250 1.875 250

For Ground Fault Grabh : R

R'

ZONE 1 ZONE 2 ZONE 3 ZONE P ZONE 4

LINE / ZONE
PH Φ PH Φ PH Φ PH Φ PH Φ

LINE 1 0.00 330 0.00 330 0.00 330 0.00 330 -11.28 177

LINE 2 4.938 80 7.407 80 14.815 80 0.000 70 -9.259 70

LINE 3 3.890 177 7.228 177 11.118 177 11.276 177 0.00 330
X'
LINE 4 -1.235 260 -1.852 260 -3.704 260 0.000 250 2.315 250
 OVERCURRENT & EARTH FAULT
RELAY SETTING

Current Set (Is) = 0.88

TMS = 0.18

Curve Selected = IEC S Inverse

Charcteristics
K
Trip time t = Tx ( I / Is ) α - 1 +L

Operation

Current Injected (I) = 1.00

Trip time = 9.844 Secs

Enter The Value In Yellow Cells Only

DIRECTIONAL
RELAY SETTING
OPERATING
DIRECTION CHAR ANGLE I FAULT REF VOLT ANGLE (ANTI
CLOCK)
R YB 45 225
Reverse 45 Y BR 285 105
B RY 165 345
 THERMAL OVERLOAD
RELAY SETTING

Time Constant = 2

Largest Phase current = 2

Full Load Current rating = Pre Loading = 0.83

Alarm Setting = 0.00%

90.00%

Charteristics

Trip Time = -‫ح‬loge((I2)-(K.IFLC )2)/(I2-IP 2)

Operation
Trip time = 25.27 Secs
Alarm = 22.74 Secs

Enter The Value In Yellow Cells Only

 MiCOM P643 TRANSFORMER DIFFERENTIAL RELAY Dyn1 VECTOR GROUP SLOPE CALCULATION

SLOPE 1 SLOPE 2
R Y B R Y B
variable current Ia 1.926 2.891 1.93 2.893 1.205 variable current Ia 4.593 5.372 4.599 5.378
Fixed current Ib 2 3 2 3 1.25 3 Fixed current Ib 4.5 5 4.5 5 4.5 5
Ir 1.963 2.946 1.965 2.947 1.228 1.289 Ir 4.565 5.226 4.569 5.23 1.934 2.148

Calculated Id 0.489 0.735 0.493 0.737 0.307 -2.578 Calculated Id 1.397 1.86 1.403 1.867 -3.867 -4.297
M1 25.03 24.85 -4729.51 M1 70.05 70.2 -200.93
Ir 1.966 2.948 1.968 2.952 Ir 4.573 5.233 4.578 5.24

Measured Id 0.491 0.733 0.494 0.739 Measured Id 1.403 1.863 1.402 1.868
M1 24.64 24.9 #DIV/0! M1 69.7 70.39 #DIV/0!
* yellow cells are manual entering values
FORMULAS FOR Dyn1 VECTOR GROUP TRANSFORMER MATCHING FACTOR

Simulate differential and restraining currents such that they lie in the region over and under the curve. Kam,a = 1.719 Kam,b = 1.289

Restraining current Ir = {( Iam,x,a – Iam,zero,a) + (Iam,x,z – Iam,zero,z) / 2} Differential current Id = ( Iam,x,a – Iam,zero,a) - (Iam,x,z – Iam,zero,z)

Ir = {( Ia*Kam,a – (Ia*Kam,a)/3) + (Ib*Kam,b – (Ib*Kam,b)/3) / 2} Id = ( Ia*Kam,a – (Ia*Kam,a)/3) - (Ib*Kam,b – (Ib*Kam,b)/3)

EX: Ir = {(Ia*6.824*0.667)+ (Ib*1.705*0.667) / 2} EX: Id = {(Ia*6.824*0.667)+ (Ib*1.705*0.667) / 2} 

Ir = {(4.552Ia + 1.137Ib) / 2} Id = {(4.552Ia + 1.137Ib) /
2} fNzrd; nry;tk;
 MiCOM P643 TRANSFORMER DIFFERENTIAL RELAY Dyn1 VECTOR GROUP SLOPE CALCULATION

SLOPE 1 SLOPE 2
R Y B R Y B
variable current Ia 0.607 0.67 0.605 0.668 0.609 0.673 variable current Ia 1.763 2.887 1.768 2.893 1.776 2.891
Fixed current Ib 0.9 1 0.9 1 0.9 1 Fixed current Ib 2 3 2 3 2 3
Ir 0.888 0.983 0.887 0.981 0.89 0.986 Ir 2.327 3.698 2.331 3.703 2.338 3.701

Calculated Id 0.295 0.32 0.291 0.316 0.298 0.325 Calculated Id 1.361 2.455 1.37 2.466 1.383 2.462
M1 26.32 26.6 28.13 M1 79.8 79.88 79.16
Ir 0.891 0.985 0.894 0.989 0.895 0.988 Ir 2.337 3.716 2.339 3.723 2.346 3.722

Measured Id 0.293 0.319 0.298 0.324 0.297 0.324 Measured Id 1.371 2.471 1.366 2.477 1.377 2.478
M1 27.66 27.37 29.03 M1 79.77 80.27 80.01
* yellow cells are manual entering values

FORMULAS FOR Dyn1 VECTOR GROUP TRANSFORMER MATCHING FACTOR

Simulate differential and restraining currents such that they lie in the region over and under the curve.
Kam,a = 1.706 FOR DELTA 1.706
Restraining current Ir = {( Iam,x,a + 1/√3 Iam,x,b) / 2} Differential current Id = { Iam,x,a - 1/√3 Iam,x,b }
Kam,b = 1.426 FOR STAR 0.823301
Ir = {( Ia*Kam,a + 1/√3(Ib*Kam,b)) / 2} Id = { Ia*Kam,a - 1/√3(Ib*Kam,b)

} EX: Ir = {(Ia*1.706+ (1/√3(Ib*1.426))) / 2} EX: Id = { Ia*1.706 - (1/√3(Ib*1.426)) }

Ir = {(1.706Ia + 0.823Ib) / 2} Id = { 1.706Ia - 0.823Ib }


fNzrd; nry;tk;
***
 MiCOM P643 TRANSFORMER DIFFERENTIAL RELAY Dyn1 VECTOR GROUP SLOPE CALCULATION

SLOPE 1 SLOPE 2
R Y B R Y B
variable current Ia 1.204 1.928 2.891 1.206 1.928 2.894 1.203 1.928 2.892 variable current Ia 3.975 4.599 5.377 3.979 4.601 5.381 3.974 4.597 5.375
Fixed current Ib 1.25 2 3 1.25 2 3 1.25 2 3 Fixed current Ib 4.1 4.5 5 4.1 4.5 5 4.1 4.5 5
Ir 1.227 1.964 2.946 1.228 1.964 2.947 1.226 1.964 2.946 Ir 4.039 4.569 5.229 4.042 4.57 5.232 4.039 4.568 5.228

Calculated Id 0.306 0.491 0.735 0.308 0.491 0.739 0.304 0.491 0.736 Calculated Id 1.032 1.403 1.865 1.037 1.406 1.87 1.031 1.401 1.863
M1 24.96 24.85 24.96 24.86 25.23 25.07 25.34 24.95 25.12 M1 70 69.45 70.43 69.89 70.09 70 69.94 70 69.97
Ir 1.228 1.969 2.951 1.23 1.968 2.955 1.228 1.968 2.953 Ir 4.047 4.577 5.238 4.052 4.58 5.244 4.048 4.579 5.24
Measured Id 0.307 0.493 0.736 0.306 0.491 0.737 0.306 0.492 0.737 Measured Id 1.032 1.404 1.869 1.035 1.405 1.871 1.031 1.402 1.869
M1 25.1 24.75 24.9 25.07 24.92 24.99 25.14 24.87 24.99 M1 70.28 70.19 70.35 70.08 70.18 70.13 69.87 70.65 70.3
* yellow cells are manual entering values
FORMULAS FOR Dyn1 VECTOR GROUP TRANSFORMER MATCHING FACTOR
Simulate differential and restraining currents such that they lie in the region over and under the curve. Kam,a = 1.719 Kam,b = 1.289

Restraining current Ir = {( Iam,x,a – Iam,zero,a) + (Iam,x,z – Iam,zero,z) / 2} Differential current Id = ( Iam,x,a – Iam,zero,a) - (Iam,x,z – Iam,zero,z)

Ir = {( Ia*Kam,a – (Ia*Kam,a)/3) + (Ib*Kam,b – (Ib*Kam,b)/3) / 2} Id = ( Ia*Kam,a – (Ia*Kam,a)/3) - (Ib*Kam,b – (Ib*Kam,b)/3)

EX: Ir = {(Ia*6.824*0.667)+ (Ib*1.705*0.667) / 2} EX: Id = {(Ia*6.824*0.667)+ (Ib*1.705*0.667) / 2} 

Ir = {(4.552Ia + 1.137Ib) / 2} Id = {(4.552Ia + 1.137Ib) / 2} fNzrd; nry;tk;
 Y PHASE GRABH

x-axis = Ibias 0 1.228 1.968 2.952 4.049 4.578 5.24

y-axis = Idiff 0.3 0.308 0.494 0.739 1.035 1.402 1.868

1.8

1.6
Axis Title

1.4

1.2

0.8

0.6

0.4

0.2
0 1.228 1.968 A2x.i9s 5T2itle 4.049 4.578 5.24
0
 actual

250 249.6 0 248.5 -119.8 253.3 119.8

500 499.6 0 498.8 -120 499.2 120.2

1000 1001 0 1003 -120.2 1001 120.2

750 750.2 0 744.8 -119.5 746.1 120.5

1500 1499 0 1502 -119.9 1492 120.1

3000 3003 0 3002 -120 3001 120

0.262 0.261 -0.38314176 0.262 0 0.259 -1.14503817

0.349 0.348 -0.28735632 0.348 -0.28653295 0.349 0

Ir 8.042 9.79 11.48 8.023 9.724 11.44

Measured Id 2.425 2.936 3.45 2.403 2.929 3.435

M1 29.23 30.41 29.81 30.92 29.49 30.2
1.32 -0.166667

0.24 0.166667

0.3 0.166667 2.602 3.162 3.724

0.693333 0.416667 1.4 1.7 2

0.533333 0.083333 8.053 9.739 11.57

0.1 0 2.414 2.917 3.457

8.045 9.761 11.52

2.41 2.939 3.457

30.83 29.45 30.13