Equation 8 · Power Density and What It Permits
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
Symbol A
A is part of the quantity the equation computes from the expression on the right.
Symbol A_direct
irect is one of the signed contributions combined to compute the quantity on the left.
Symbol A_spacing
pacing is one of the signed contributions combined to compute the quantity on the left.
Symbol A_excluded
xcluded is one of the signed contributions combined to compute the quantity on the left.
=
The expressions on both sides represent the same quantity under the stated assumptions.
See an illustrated explanation →subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
How to interpret it
Read it with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
So the total area decomposes into parts that different analysts include or exclude: . A recent multi-method study makes the sensitivity explicit rather than arguing about it. Covey and colleagues measured 60 onshore and 24 offshore wind plants and 54 solar plants across six countries, computing capacity density four ways on the same plants. Onshore wind comes out at 4.9 megawatts per square kilometre by Voronoi polygon, 6.2 by five-diameter buffer, 4.0 by eight-diameter buffer and 4.4 by convex hull [ 9 ] . The plants did not change. The choice of boundary moved the answer by more than half.
Sources cited in the surrounding passage
These citations give research context. Read each source to check which claims it supports.
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