ABU NAKLAH SUPER –D20
Line Parameter
Positive Sequence Z1= (2.016+j12.160) ohmZero Sequence Z0= (9.676+ j33.141) ohm
Line Length = 39.05 km CT Ratio =1500/1A PT Ratio =220kv/110V Zone 1 Setting =70% Zone 2 Setting =130% Zone 3 Setting =200% Imp Ratio = CT/PT=0.75
Zone-1
: ( ALL CALCULATION IN PRIMARY VALUES FOR RELAY SETTING )Positive Sequence Resistance in ohms = R1 * Zone1 setting
= 2.016 * 0.70 R1 = 1.4112
Positive Sequence Reactance in ohms = X1 * Zone1 setting
= 12.160 * 0.70 X1 = 8.512
Zero Sequence Resistance in ohms = R0 * Zone1 setting
= 9.676 * 0.70 R0 = 6.773
Zero Sequence Reactance in ohms = X0 * Zone1 setting
= 33.141 * 0.70 X0 = 23.198
RFPP = 3X1 – R1
RFPP = 24.124 ohms / loop
RFPE = 2 X1 + X0 – [ ( 2 R1 + R0 ) / 3 ]
NOTES : ( FOR TESTING PURPOSE )
*) FOR TESTING PURPOSE ALL THE VALUES SHOULD BE IN SECONDARY VALUES.
*) RFPP AND RFPE VALUES SHOULD BE IN ohms / phase AND SECONDARY VALUES .
*) PRIMARY VALUE SHOUL BE MULTIPLY WITH IMPEDANCE RATIO FOR GETTING IN SECONDARY VALUE.
Impedance ratio = 0.75 ( calculated CT/PT )
R1 PP = R1 Primary value * Imp Ratio
= 1.4112 * 0.75
= 1.058
X1 PP = X1 Primary value * Imp Ratio
= 8.512 * 0.75 = 6.384
R0 PE = R0 Primary value * Imp Ratio
= 6.773 * 0.75
R0 PE = 5.079
X0 PE = X0 Primary value * Imp Ratio
= 23.198 * 0.75 X0 PE = 17.398 Here , R1 PP = R1 PE = 1.058 X1 PP = X1 PE = 6.384
RFPP ( ohm / phase ) = [ RFPP ( ohm / loop ) / 2 ]
= 24.124 / 2
= 12.062 ohm / phase ( NOW IT IS IN PRIMARY VALUE ) SO, RFPP = 12.062 * Imp. Ratio
= 12.062 * 0.75
RFPE ( ohm / phase ) = [ RFPE ( ohm / loop ) / ( 1+KN ) ]
Where , KN = (Z1 – Z0 ) / 3 Z1
KN = [ ( ( 2.016 + j 12.160 ) – ( 9.676 + j 33.141 ) ) / ( 3 * ( 2.016 + j 12.160 ) ) ]
= 0.604 and –10 degree (THIS –10 degree will be use in omicron testing file)
RFPE = 37.02 / (1+0.604)
= 23.079 ohm / phase ( NOW IT IS IN PRIMARY VALUE ) SO, RFPE = 23.079 * Imp. Ratio
= 23.079 * 0.75
RFPE = 17.309
...
Zone-2:
( ALL CALCULATION IN PRIMARY VALUES FOR RELAY SETTING )Positive Sequence Resistance in ohms = R1 * Zone1 setting
= 2.016 * 1.3
R1 = 2.62
Positive Sequence Reactance in ohms = X1 * Zone1 setting
= 12.160 * 1.3
X1 = 15.808
Zero Sequence Resistance in ohms = R0 * Zone1 setting
= 9.676 * 1.3
R0 = 12.578
Zero Sequence Reactance in ohms = X0 * Zone1 setting
= 33.141 * 1.3
X0 = 43.08
RFPP = 44.804 ohms / loop
RFPE = 2 X1 + X0 – [ ( 2 R1 + R0 ) / 3 ]
RFPE = 68.756 ohms / loop
NOTES : ( FOR TESTING PURPOSE )
*) FOR TESTING PURPOSE ALL THE VALUES SHOULD BE IN SECONDARY VALUES.
*) RFPP AND RFPE VALUES SHOULD BE IN ohms / phase AND SECONDARY VALUES .
*) PRIMARY VALUE SHOUL BE MULTIPLY WITH IMPEDANCE RATIO FOR GETTING IN SECONDARY VALUE.
Impedance ratio = 0.75 ( calculated CT/PT )
R1 PP = R1 Primary value * Imp Ratio
= 2.62 * 0.75
= 1.965
X1 PP = X1 Primary value * Imp Ratio
= 15.808 * 0.75 = 11.856
R0 PE = R0 Primary value * Imp Ratio
= 12.578 * 0.75
R0 PE = 9.4335
X0 PE = X0 Primary value * Imp Ratio
= 43.08 * 0.75 X0 PE = 32.31 Here , R1 PP = R1 PE = 1.965 X1 PP = X1 PE = 11.856
RFPP ( ohm / phase ) = [ RFPP ( ohm / loop ) / 2 ]
= 44.804 / 2
SO, RFPP = 22.402 * Imp. Ratio = 22.402 * 0.75
RFPP = 16.801
RFPE ( ohm / phase ) = [ RFPE ( ohm / loop ) / ( 1+KN ) ]
Where , KN = (Z1 – Z0 ) / 3 Z1
KN = [ ( ( 2.016 + j 12.160 ) – ( 9.676 + j 33.141 ) ) / ( 3 * ( 2.016 + j 12.160 ) ) ] = 0.604 and –10 degree
RFPE = 68.756 / (1+0.604)
= 42.86 ohm / phase ( NOW IT IS IN PRIMARY VALUE ) SO, RFPE = 42.86 * Imp. Ratio
= 42.86 * 0.75
RFPE = 32.145
………..
Zone-3
: ( ALL CALCULATION IN PRIMARY VALUES FOR RELAY SETTING )Positive Sequence Resistance in ohms = R1 * Zone1 setting
= 2.016 * 2.0
R1 = 4.032
Positive Sequence Reactance in ohms = X1 * Zone1 setting
= 12.160 * 2.0
X1 = 24.32
Zero Sequence Resistance in ohms = R0 * Zone1 setting
= 9.676 * 2.0
R0 = 19.352
Zero Sequence Reactance in ohms = X0 * Zone1 setting
= 33.141 * 2.0
RFPP = 3X1 – R1
RFPP = 68.928 ohms / loop
RFPE = 2 X1 + X0 – [ ( 2 R1 + R0 ) / 3 ]
RFPE = 105.784 ohms / loop
NOTES : ( FOR TESTING PURPOSE )
*) FOR TESTING PURPOSE ALL THE VALUES SHOULD BE IN SECONDARY VALUES.
*) RFPP AND RFPE VALUES SHOULD BE IN ohms / phase AND SECONDARY VALUES .
*) PRIMARY VALUE SHOUL BE MULTIPLY WITH IMPEDANCE RATIO FOR GETTING IN SECONDARY VALUE.
Impedance ratio = 0.75 ( calculated CT/PT ) R1 PP = R1 Primary value * Imp Ratio
= 4.032 * 0.75
= 3.024
X1 PP = X1 Primary value * Imp Ratio
= 24.32 * 0.75 = 18.24
R0 PE = R0 Primary value * Imp Ratio
= 19.352 * 0.75
R0 PE = 14.514
X0 PE = X0 Primary value * Imp Ratio
= 66.282 * 0.75 X0 PE = 49.711 Here , R1 PP = R1 PE = 3.024 X1 PP = X1 PE = 18.24
RFPP ( ohm / phase ) = [ RFPP ( ohm / loop ) / 2 ]
= 68.928 / 2
= 34.464 ohm / phase ( NOW IT IS IN PRIMARY VALUE ) SO, RFPP = 34.464 * Imp. Ratio
= 34.464 * 0.75
RFPP = 25.848
RFPE ( ohm / phase ) = [ RFPE ( ohm / loop ) / ( 1+KN ) ]
Where , KN = (Z1 – Z0 ) / 3 Z1
KN = [ ( ( 2.016 + j 12.160 ) – ( 9.676 + j 33.141 ) ) / ( 3 * ( 2.016 + j 12.160 ) ) ] = 0.604 and –10 degree
RFPE = 105.784 / (1+0.604)
= 65.99 ohm / phase (NOW IT IS IN PRIMARY VALUE) SO, RFPE = 65.99 * Imp. Ratio
= 65.99 * 0.75
RFPE = 49.492
