wroggent
Electrical
- Aug 20, 2012
- 288
I've seen it stated in several places that special consideration needs to be made for corner grounded delta, high resistance grounded, and non-grounded systems regarding the single pole interrupting rating of MCCBs. I understand why this consideration must be made, however I don't understand how this is a special consideration. I haven't seen any mention of the single pole interrupting rating being an issue for solidly grounded systems.
Consider the following:
Let the subscripts 0, 1, and 2 signify the zero, positive, and negative sequences respectively. V is the pre-fault voltage), Z is an impedance. Zf is an impedance is the fault path.
The line to ground fault current is given by:
I0=I1=I2=V/(Z0+Z1+Z2+3Zf)
The line to line fault current is(I realize that the fault on page 38 of the link is a double line to ground fault with fault impedance in between the phases but I'm trying to keep this simple):
I1=-I2=V/(Z1+Z2+Zf)
For a truly solidly grounded system Z0 should be close to 0 ohms. For a bolted fault Zf is 0 ohms. Thus in a solidly grounded system with a bolted fault, the ground fault current could be 1.73 times a line to line fault. I have assumed the positive and negative sequence impedances to be equal.
Let a=e^(j*120) the A matrix = [(1,1,1);(1,a^2,a);(1,a,a^2)]. Let Z0=0, Zf=0, Z1=Z2=1.
For a line to ground fault:
[Ia;Ib;Ic]=A*[1/2;1/2;1/2]=[3/2;0;0]
For a line to line fault:
[Ia;Ib;Ic]=A*[0;1/2;-1/2]=[0;-j3^0.5/2;j3^0.5/2]
And (3/2)/(3^0.5/2)=3^0.5
Is the question clear enough? - Why is single pole interrupting rating (seem to be) only mentioned when the system isn't solidly grounded?
From the link:
I don't see how full phase voltage on a pole is really relevant. If the fault current is higher than interrupting rating, the fact that the voltage is too high is somewhat of a secondary issue I think.
As a secondary question, consider a resistance grounded system with a three phase symmetrical fault level of, say, 60kA. Assume a fault occurs as shown of page 38 of the link for the resistance grounded system (Figure 7). Lets assume the current for this fault is 87% of the three phase fault, or 52kA. Are there breakers available with single pole ratings this high? I can only seem to find some with 12120 and 8660 amp ratings. There must be some otherwise there are probably a lot of misapplied breakers out there...
Link:
(pages 37 and 38 are of interest)
Reference thread:
Thanks
Consider the following:
Let the subscripts 0, 1, and 2 signify the zero, positive, and negative sequences respectively. V is the pre-fault voltage), Z is an impedance. Zf is an impedance is the fault path.
The line to ground fault current is given by:
I0=I1=I2=V/(Z0+Z1+Z2+3Zf)
The line to line fault current is(I realize that the fault on page 38 of the link is a double line to ground fault with fault impedance in between the phases but I'm trying to keep this simple):
I1=-I2=V/(Z1+Z2+Zf)
For a truly solidly grounded system Z0 should be close to 0 ohms. For a bolted fault Zf is 0 ohms. Thus in a solidly grounded system with a bolted fault, the ground fault current could be 1.73 times a line to line fault. I have assumed the positive and negative sequence impedances to be equal.
Let a=e^(j*120) the A matrix = [(1,1,1);(1,a^2,a);(1,a,a^2)]. Let Z0=0, Zf=0, Z1=Z2=1.
For a line to ground fault:
[Ia;Ib;Ic]=A*[1/2;1/2;1/2]=[3/2;0;0]
For a line to line fault:
[Ia;Ib;Ic]=A*[0;1/2;-1/2]=[0;-j3^0.5/2;j3^0.5/2]
And (3/2)/(3^0.5/2)=3^0.5
Is the question clear enough? - Why is single pole interrupting rating (seem to be) only mentioned when the system isn't solidly grounded?
From the link:
Cooper Bussmann said:Although not as common as the solidly grounded wye connection, the
following three systems are typically found in industrial installations where
continuous operation is essential. Whenever these systems are encountered,
it is absolutely essential that the proper application of single-pole interrupting
capabilities be assured. This is due to the fact that full phase-to-phase voltage
can appear across just one pole. Phase-to-phase voltage across one pole is
much more difficult for an overcurrent device to clear than the line-to-neutral
voltage associated with the solidly grounded wye systems.
I don't see how full phase voltage on a pole is really relevant. If the fault current is higher than interrupting rating, the fact that the voltage is too high is somewhat of a secondary issue I think.
As a secondary question, consider a resistance grounded system with a three phase symmetrical fault level of, say, 60kA. Assume a fault occurs as shown of page 38 of the link for the resistance grounded system (Figure 7). Lets assume the current for this fault is 87% of the three phase fault, or 52kA. Are there breakers available with single pole ratings this high? I can only seem to find some with 12120 and 8660 amp ratings. There must be some otherwise there are probably a lot of misapplied breakers out there...
Link:
(pages 37 and 38 are of interest)
Reference thread:
Thanks