Equation 6 · Part 8 · Power Density and What It Permits
=
=
What this part means
The expressions on both sides represent the same quantity under the stated assumptions.
Its job in the formula
The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.
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The passage around this formula
The second confusion is with capacity factor . Power density is an area-normalised output rate; capacity factor is a time-normalised one. They multiply rather than substitute. Writing energy generated as E over a period t across area A , with nameplate capacity C and capacity factor f : . The first factor, capacity density , is a siting and engineering question; the second is a resource and dispatch question. Miller and Keith’s US measurements make the separation visible: they report 2016 mean capacity factors of 32.9 per cent for wind and 22.1 per cent for solar, with 90th-percentile values of 43 and 27.5 per cent, alongside power densities that are not in the same…
Learn the underlying idea
An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.
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Sources cited in the surrounding passage
- [4] Observation-based solar and wind power capacity factors and power densities ↗
- [3] The spatial extent of renewable and non-renewable power generation: A review and meta-analysis of power densities and their application in the U.S. ↗
These citations provide research context; check each source for the exact claim it supports.