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Equation 1 · Part 4 · Comparing the Main Approaches to AI Datacenter Power and Cooling

fraction

WUEsite=VwaterEIT\mathrm{WUE_{site}} = \frac{V_{\mathrm{water}}}{E_{\mathrm{IT}}}
fraction

What this part means

Divide the expression above the line by the one below it.

Its job in the formula

The expression above the fraction bar is divided by the complete expression below it. The denominator must not be zero.

The passage around this formula

Water Usage Effectiveness, the metric LBNL uses throughout its modeling, is defined analogously to the more familiar Power Usage Effectiveness: WUEsite=VwaterEIT\mathrm{WUE_{site}} = \frac{V_{\mathrm{water}}}{E_{\mathrm{IT}}}. where VwaterV_{\mathrm{water}} is total on-site water consumption in litres and EITE_{\mathrm{IT}} is the electricity delivered to IT equipment, giving WUE units of litres per kilowatt-hour rather than PUE’s dimensionless ratio [ 4 ] . What LBNL’s simulations across roughly 965 US weather stations and multiple facility archetypes show is that this number is driven overwhelmingly by which heat-rejection route a facility uses at the plant level — an economizer decision layered on top of, and largely independent from, the cooling method at…

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Learn the underlying idea

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

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Sources cited in the surrounding passage

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