Maximum Radial MVA

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mbrooke

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For all practical purposes, what is the maximum MVA/amps you would design/load anyone line serving radial load? Say you had a radial load pocket of 600MVA-800MVA. Would you use two circuits? Four? Six? Eight? Right-of-Way width not an issue.
 
A double-circuit OHL of 138 kV, 2 bundle conductors ACSR Falcon 1590 MCM 54/19 0.0137 ohm/1000 ft dcond=1.545"

R1=0.01124 ohm/km; X1=0.23524 ohm/km; cap=20 nF/km [both circuits in parallel]

For p.f. of load=1 70 miles length transfers 220 MVA and the voltage drop will be 4.83%. [If p.f.=0.8 we need 360 MVAR capacitor bank.]
 
I do not use any software except Microsoft excel and the usual OHL well known formulae. For some of other domains-as underground cables ampacity or grounding-I have my handmade software on Visual Basic.

If p.f.=0.85 the transferred power for which the voltage drop it is 5.1% it is only 75 MVA then you need 8 parallel double-circuit lines.

If the system may withstand 9.14% voltage drop then only 5 parallel lines are required.
 
Aright- so if I'm reading your correctly 70 miles of two bundles of 1590 can carry 75MVA at 0.85PF and 110MVA at 1PF?

Just want to make sure this refers to each (one) circuit rather than the total power transfer of two circuits per tower.


I understand what you mean, currently I'm doing all this by hand.
 
A double-circuit OHL of 138 kV, 2 bundle conductors ACSR Falcon 1590 MCM 54/19 0.0137 ohm/1000 ft dcond=1.545"

R1=0.01124 ohm/km; X1=0.23524 ohm/km; cap=20 nF/km [both circuits in parallel]

For p.f. of load=1 70 miles length transfers 220 MVA and the voltage drop will be 4.83%. [If p.f.=0.8 we need 360 MVAR capacitor bank.]


Do you mean 220MVA of a single bundled circuit or two circuits on each side of a tower?
 
Two circuits on each side of a tower in parallel.
 
I’m sorry for the delay. I’m very busy for now.

70 miles 1590 kcml OVHL 2 CIRCUITS 1- 2 bundled wires


[TD valign="bottom"]pf[/TD]
[TD valign="bottom"]
0.8​
[/TD]
[TD valign="bottom"]
0.9​
[/TD]
[TD valign="bottom"]
1​
[/TD]

[TD valign="bottom"]no.parallel lines[/TD]
[TD valign="bottom"]
6​
[/TD]
[TD valign="bottom"]
5​
[/TD]
[TD valign="bottom"]
3​
[/TD]

[TD valign="bottom"]circuits on same tower[/TD]
[TD valign="bottom"]
2​
[/TD]
[TD valign="bottom"]
2​
[/TD]
[TD valign="bottom"]
2​
[/TD]

[TD valign="bottom"]no. bundle wires[/TD]
[TD valign="bottom"]
2​
[/TD]
[TD valign="bottom"]
2​
[/TD]
[TD valign="bottom"]
1​
[/TD]

[TD valign="bottom"]vdrop[/TD]
[TD valign="bottom"]
5.10%​
[/TD]
[TD valign="bottom"]
4.80%​
[/TD]
[TD valign="bottom"]
4.35%​
[/TD]
 
It does not change much.

70 miles 600 MVA 2156 kcml 138 kV OHL 2 CIRCUITS 1- 2 bundled wires


[TD valign="bottom"]pf[/TD]
[TD valign="bottom"]
0.8​
[/TD]
[TD valign="bottom"]
0.9​
[/TD]
[TD valign="bottom"]
1​
[/TD]

[TD valign="bottom"]no.parallel lines[/TD]
[TD valign="bottom"]
6​
[/TD]
[TD valign="bottom"]
5​
[/TD]
[TD valign="bottom"]
3​
[/TD]

[TD valign="bottom"]circuits on same tower[/TD]
[TD valign="bottom"]
2​
[/TD]
[TD valign="bottom"]
2​
[/TD]
[TD valign="bottom"]
2​
[/TD]

[TD valign="bottom"]no. bundle wires[/TD]
[TD valign="bottom"]
2​
[/TD]
[TD valign="bottom"]
2​
[/TD]
[TD valign="bottom"]
1​
[/TD]

[TD valign="bottom"]vdrop[/TD]
[TD valign="bottom"]
4.74%​
[/TD]
[TD valign="bottom"]
4.40%​
[/TD]
[TD valign="bottom"]
3.39%​
[/TD]
 
When you have time, do you think you can show me your equations- if possible?

All I have to say for now is thank you! Fascinating stuff.
 
First, the complete calculation includes 3 parts: Ampacity [IEEE 738], Mechanical part-resistance, sag, foundation and so on, voltage drop and stability. My calculation it is for voltage drop only.
1) The standard tower [for simply support, dimensions] it is as attached.
2) The average distance [Siemens]Dm=(d12*d23*d31*d1ii*d2III*d3I/(d1I*d2II*d3III))^(1/3)=6.3572 m
3) The equivalent radius of the bundle [Siemens] r=(rt*nc*(sag/2/SIN(PI()/nc)^(nc-1)))^(1/nc) where rt=radius of one wire, sag= the distance between wire[400 mm]
nc=number of wires in the bundle. [mm]
4) the resistance[electrical] as per catalogue [a.c. 75oC ohm/km] divided by no. of wires in a bundle, number of lines on the same tower [1-2], number of parallel lines [1-6].
5) the inductive reactance: 4*pi()*f/10^4*ln(Dm/r) [ohm/km] divided by number of lines on the same tower and number of parallel lines.
6) capacitance =2*pi()*εr*εo/ln(Dm/r) [F/km] multiplied by number of lines on the same tower and number of parallel line.
εr-relative dielectric constant (in air: εr = 1)
εo=dielectric constant (8.854 nF/km)
7) γ=√[(r+jx)*j2*pi()*f*Cap] Cap in F/km
8) Zo=√[(r+jx)/(j2*pi()*f*Cap)]
9) g=γ*length
10) Us=Ur*cosh(g)+Ir*Zo*sinh(g)
Us=source voltage
Ur=receiver voltage[required] Ur=138/√3
Ir=required current Ir=Sr/√3/138
if Sr=600 Ir=2.51[cos(ϕ)-jsin(ϕ)]
Is=Ir*cosh(g)+Ur/Zo*sinh(g)
Ss=3*Us*conjugate(Is)
That’s all, I think.
 

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Question- how hard would it be to make a spread sheet? The SIL part of the equations is making me not want to do them lol.
 
I tried to send a simple excel file.
It seems to me I cannot send an excel workbook.
 
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