C) MTA Test Procedure
The first test you can perform is the Maximum Torque Angle (MTA) test which verifies
the Z1ANG setting. This test is nearly identical to the “MTA Test Procedure” description
in the “3-Phase Line Distance Protection Testing” section earlier in this document which
you can review for more details. We are going to change the phase angle references from
0}180o to 0-360o to make the calculations easier to understand.
You should notice that SEL relays use a common setting (Z1ANG) for all impedance
elements so it could be argued that only one test (3-P, P-P, or P-G) is required to verify the
MTA. Don’t be fooled by the “Z1” in the front of the setting. Z1 stands for positive sequence
impedance and not Zone 1.
Follow the steps below to perform a phase-to-ground MTA test.
1. Determine how you will monitor pickup and set the relay accordingly, if required.
(Pickup indication by LED, output contact, front panel display, etc. See the Relay Test
Procedures section starting on page 109 for details.)
2. Calculate the measured impedance using the calculation described below. This
calculation is the opposite of the calculations described earlier because, in this case,
we are converting the relay-calculated impedance into a measured-impedance. The
previous equations converted a measured-impedance into the relay-calculated
impedance.
()
()
+∠
Ω°=
+°
=Ω°×+°
=Ω°×Ω°
Z2MG ZMeasured
(1 k0M k0A)
1.85 @78.6 ZMeasured
1 0.978@-6.7
ZMeasured 1.85 @78.6 1 0.978@-6.7
ZMeasured 1.85 @78.6 1.975 @-3.31
ZMeasur = ( Ω × Ω) ( ° + °)
=Ω°
ed 1.85 1.975 @ 78.6 -3.31
ZMeasured 3.653 @75.29
The Excel™ formula for this calculation is:
ZAN Compensated Magnitude
=Ohms*SQRT((1+(k0M1*COS(RADIANS(k0A1))))^2+(k0M1*SIN(RADIANS(k
0A1)))^2)
Chapter 15: Line Distance (21) Element Testing
457
ZAN Compensated Angle
=Angle+(DEGREES(TANH((K0M1*SIN(RADIANS(K0A1)))/(1+(K0M1*COS(RADI
ANS(K0A1)))))))
3. Calculate the test impedance using the calculation described below. The test impedance
should not exceed 90% of the measured impedance.
=×
=Ω°×
=Ω°
ZTest ZMeasured 90%
ZTest 3.653 @75.29 90%
ZTest 3.288 @75.29
The Excel™ formula for this calculation is:
ZAN Compensated Magnitude
=0.9*(Ohms*SQRT((1+(k0M1*COS(RADIANS(k0A1))))^2+(k0M1*SIN(RADIANS(
k0A1)))^2))
ZAN Compensated Angle
=Angle+(DEGREES(TANH((K0M1*SIN(RADIANS(K0A1)))/(1+(K0M1*COS(RADI
ANS(K0A1)))))))
4. Calculate the test configuration using one of these test methods:
a. If the Z1 Reach setting is greater than 0.66 Ohms, arbitrarily determine the
maximum amount of current to be applied to the relay. A good rule of thumb for
maximum continuous current for most relays is 10.0A. Calculate the P-N voltage
required to apply the test impedance using the following formula based on Ohm's
Law.
=×
×Ω
VIR
FaultVolts=FaultAmps ZTest
FaultVolts=9.0A 3.288
FaultVolts=29.59V
b. If the Z1 Reach setting is less than 0.66Ω, use the traditional formula described in
this step with a 5.0V voltage setting. If more than 10.0A is required, the test should
be performed as quickly as possible to prevent equipment damage.