Ambient temperature of 38C, cable 70C, what is Ca?
I am posting this under threat of being dragged off to a gulag somewhere in the far-flung corners of Siberia!
A final circuit is to be installed to supply a 400V three-phase 28Kw motor for a conveyor system. The motor has a power factor of 0.85.
The circuit is 36m long and is to be installed using four-core armoured 90°C thermosetting insulated cable with copper conductors. One of the cores of the cable will be used as the cpc.
The cable is to be supported on a horizontal perforated cable tray in an ambient temperature of 38°C and touching one other similar circuit which has a conductor operating temperature of 70°C. The circuit is to be connected to a switchfuse at the installation origin. Circuit protection is to be provided by BS88-2gG fuses. Voltage drop for this circuit must not exceed 6v
The installation forms part of a 400/230v TPN TN-C-S system with an external earth fault loop impedance and measured and recorded as 0.05Ω.
Show all calculations.
Determine for the final circuit the
he hee
well, this will fail the CandG but maybe an OK method in real life.
KVA = KW/PF = 28/.85 = 33kVA
each phase 1/3as 3 phases so 11KVA/phase
Each phase 11000/230= 47,7 A at nominal load
call it 50A per line
Motor Overloads set to 50, backed by fuses a lot higher, or it wont survive switch on. If adjacent circuit is already running at 70C then no heating of any kind at all from this one is permitted as it will overheat the existing cable so do not risk it, cut the cable ties or undo the cleats and refit, with it moved it over a bit so not touching. Try and get at least one cable dia of gap for thermal independence.
Are you able to terminate this cable in a way you can run it to 90C? if not then that is a red herring, use figures for 70C max
38C derater from graph 0,9 so that 50A becomes 55A - you need a cable that would be OK on a tray carrying 55A at 30C
Now look very hard at the holes in the tray - more than 30% holes, cols E or F. less than 30% holes - and that is actually most univolt/CEF/TLC type stuff, then really it should be column C.
so depending on that result 6mm or 10mm swa ;-) I'd go for at least 10mm anyway, and get 1.6-1.9milliohms per core per metre, so at 36m and 50 A a bout 3,5 volts drop per core, and more like 5-6V off the 400V phase to phase voltage.
16mm would be a choice if grouping cannot be mitigated.
Deliberately Contentiously, Mike.
Deliberately contentious.
My workings slightly different but similar result.
40.42A per phase pf=0.85 (no mention of efficiency)
46.48A per phase In = 50A
Cg = 4C1-3 (0.88) Method 4A2-31 E or F
Ca = 4B1 (0.96)
It = 46.48 (Ib) x Cg x Ca = 54.91
5.1.2 For groups allow Ib instead of In, where simultaneous overload is unlikely.
Vd for 10mm swa 4 x36x46.48/1000 = 6.69V
Vd for 16mm swa 2.5x36x46.48/1000 = 4.18V
So 16mm wins the Volt drop requirement.
I could of course be completely wrong!
Deliberately contentious.
My workings slightly different but similar result.
40.42A per phase pf=0.85 (no mention of efficiency)
46.48A per phase In = 50A
Cg = 4C1-3 (0.88) Method 4A2-31 E or F
Ca = 4B1 (0.96)
It = 46.48 (Ib) x Cg x Ca = 54.91
5.1.2 For groups allow Ib instead of In, where simultaneous overload is unlikely.
Vd for 10mm swa 4 x36x46.48/1000 = 6.69V
Vd for 16mm swa 2.5x36x46.48/1000 = 4.18V
So 16mm wins the Volt drop requirement.
I could of course be completely wrong!
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