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| This is a discussion on Ready to make a UPS, just need some clarification within the Gen II Prius Main Forum forums, part of the Gen II (2004-2009) Toyota Prius Forums category; Originally Posted by pt95148 Thanks everybody for the generous help here. I have one more question that I forgot to ... |
Ready to make a UPS, just need some clarification
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Tom, The voltage drop is a function of the resistance of the leads, which for a given wire size is proportional to length. With ~83A input current to the UPS when drawing 1KW, the voltage drop will be proportional to the length of the input leads. 12 ft (6 ft each for positive & negative) will have a total resistance of ~0.019 Ohms, causing a voltage drop of ~1.6V. If the battery is being charged @ 13.6V (HSD system on), the input voltage to the inverter will be 12V (its rated input voltage). That cannot be considered too much voltage drop. The problem is that 83 amps flowing through 0.019 Ohms of resistance will dissipate about 130W, or nearly 10W per foot. This is over 16 times as much as the wire is rated for. Note: if you were able to mount the inverter right next to the battery, with each #12 lead only about 1-1/2 ft long, the total resistance, and therefore voltage drop, would be the same as with the two 6 ft leads of #6 wire supplied with the inverter. The total power lost in the wire resistance would be the same, ~34W. With #6 wire, the power dissipated would be less than 3W/ft, with #12 wire, it would be nearly 11W/ft. #6 wire can safely dissipate 3W/ft, #12 cannot handle 11W/ft. Norm
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Friends: 1 | Hey Norm, Where can I find the W/ft wire ratings you're using? I've always wanted to know that. I expect they'd depend on the insulation material, so I assume you're talking about the stuff that's sold as "primary wire" for automotive use? Do the tables also involve adjustments for ambient temperature or number of wires bundled together? I know the N.E.C. does, for the sorts of wiring materials used in structures, but I've never really found an official source of the same info for auto wiring. Thanks, -Chap |
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| | #14 | |
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As for your example, #6 wire is rated for 101A for chassis wiring, which is well over the 83A in your example. If you are going to bury it inside a wooden wall, then you may have problems. It's perfectly acceptable to shorten the existing leads. It is also acceptable to lengthen the leads with the same or larger wire, but you need to watch the voltage drop. That was the point I was trying to make. On my sailboat, I have a 1KW inverter installed with about 10 ft of cable (there and back). I used #00. I don't need that for safety, but it keeps the I^2*R losses down, which improves performance. The heavier wire also allows the system to function even after some degradation of the cable and connectors, which often happens in a marine environment. As for the question about wire ratings, search for AWG wire. The AWG tables are available all over the Internet. Tom
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Have you tried that search? In Google the first three hits have AWG tables and give several different ampacity figures. One of them even explains why there's such a variety of ampacity tables: I was just wondering where Norm got the watts-per-foot dissipation figures he quoted, and what assumptions about insulation type, ambient, and environment they were based on. I haven't seen anything that quite so neatly rates wire for watts per foot before. -Chap | |
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| | #16 | |
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The best place to get dissipation figures is from the cable manufacturer. Tom | |
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| | #18 | |
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I wasn't trying to imply that you were suggesting the use of smaller wire, in fact you stated the same or larger wire. If someone only half understood your post, and used a smaller, but shorter, wire while keeping the total resistance the same, there could be an overheating problem. I was trying to point out that there are two limiting factors for the wire size to be used, 1) Voltage drop (IR losses) and 2) ampacity of the wire. For 12 AWG wire, I assumed 20A capacity (the value allowed for household wiring). I know the capacity depends on many factors, and this value falls between the "chassis wiring" and "Power transmission" values given on the 'powerstream.com' website. Chap, Tom is right about where I got my figures. Power dissipated by a resistor (including a piece of wire) can be calculated by the formula I^2 * R. The resistance per foot is calculated from the table (which provides Ohms per 1000 ft). My Watts per foot values were calculated from the current and the resistance-per-foot value from the table Norm | |
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| | #19 | |
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| | #20 | ||
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Thanks for responding - as for how you calculated the watts per foot that would be dissipated at a certain current, yes that's straightforward, I followed that. My question was more about: Quote:
It sort of makes sense that there would be references giving wire dissipation limits in that form, but I don't know where to find them. Thanks, -Chap | ||
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