UPS – Maximum Cable Length for UPS Output

To give you some reference, here in the US #10 cable is usually allowed to carry up to 15-30 A use in homes. A solid #10 cable is 2.59 mm in diameter. Your cable looks to be around 2 mm or maybe a bit less, which is close to #12 (2.05 mm diameter).

Keep in mind that the current rating of a cable is someone's judgement call. For example, the same #10 cable is allowed over 50 A in "chassis wiring". This is all about the probability of the cable getting hot enough to ignite something, and the consequences of that. Inside a metal chassis, there is much less of a safety issue due to a hot cable than when it runs against dry wooden supports inside walls in a house.

You can certainly get 32 A thru the cable you show. There are then two things you have to decide:

1. Is the voltage drop tolerable for your application?

2. Is the resulting cable temperature still safe in your application?

Since you have 4 supplies, at a max of 180 Amps, that's only 45 Amps each, if equally divided. Since your intended application is much less than that (50% on at any given time, no White), you could do this with just 3 supplies, but since you have 4 might as well use them.

Due to voltage droop, from the resistance of a cable at high currents, you want to reduce the amount of current a single cable carries. So you will want to have multiple runs of power from a single supply to the LED strips.

Based on a quick calculation using 5VDC, 18 AWG, 5 Feet (10 Feet both ways), and 5 Amps, it shows a voltage droop of 0.32 Volts. So the LEDs, at the power input, will only see 4.68 Volts. If we cut the current in half, that's 0.16 Volt drop. More reasonable. If we go to 16 AWG, a larger size, at 5 Amps, it's still a drop of 0.2 Volts.

And that's before you get into the voltage droop from the FPC of the led strip itself.

So what you need is a short run of a large AWG cable, from the power supply to a distribution bus, and then multiple parallel runs of smaller cables to multiple spots in the LED strips.

Adafruit has a nice writeup of a similar project, using 80 Amps. Key points, see Power and Construction, but the whole thing is a good read.

Note the single AC Supply, to 12 AWG Fused cables, to a power distribution block, to multiple smaller cables to the led strips.

Keep the cables as short as possible to reduce voltage drop. If your Power supplies have an adjustment pot, increase the voltage to compensate. And the power supplies should be next to the sculpture. Having Mains AC power boxes installed near the sculpture isn't expensive and will be better.