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Equation 8 · Power Density and What It Permits

What does this equation mean?

A=Adirect+Aspacing+AexcludedA = A_{\mathrm{direct}} + A_{\mathrm{spacing}} + A_{\mathrm{excluded}}

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.

Inputs and operationsA_direct + A_spacing + A_excluded
Result or conditionA
How to read the two sides of this formula. Follow the article passage for the meaning of each quantity.

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.

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AA

Symbol A

A is part of the quantity the equation computes from the expression on the right.

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AdirectA_{\mathrm{direct}}

Symbol A_direct

AdA_direct is one of the signed contributions combined to compute the quantity on the left.

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AspacingA_{\mathrm{spacing}}

Symbol A_spacing

AsA_spacing is one of the signed contributions combined to compute the quantity on the left.

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AexcludedA_{\mathrm{excluded}}

Symbol A_excluded

AeA_excluded is one of the signed contributions combined to compute the quantity on the left.

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=

=

The expressions on both sides represent the same quantity under the stated assumptions.

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addition

addition

Add the term after the plus sign to the term or group before it.

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subscript

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.

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How to interpret it

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What the article says around this equation

So the total area decomposes into parts that different analysts include or exclude: A=Adirect+Aspacing+AexcludedA = A_{\mathrm{direct}} + A_{\mathrm{spacing}} + A_{\mathrm{excluded}}. 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.

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Sources cited in the surrounding passage

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