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N, N+1, N+2 and 2N Capacity Guide

How to calculate installed capacity for N, N+1, N+2 and 2N power architectures, with unit-count tables, a worked example and the pitfalls of counting redundancy by number of units.

In short. Redundancy is a statement about capacity after a failure. N+1 means that with the largest unit out, the rest still carry the load. 2N means two independent systems each carry the whole load. Calculate the capacity left after the failure, not the number of spare units.

The definitions in capacity terms

ArchitectureRule
NCapacity of all units ≥ load
N+1Capacity with the largest unit out ≥ load
N+2Capacity with the two largest units out ≥ load
2NEach of two independent systems ≥ load
2N+1Two systems, each with N+1 internally

Counting with equal units

N = ⌈Load ÷ Unit capacity⌉
N+1 = N + 1    N+2 = N + 2    2N = 2 × N

Worked example (illustrative)

Critical load 2,400 kW, unit capacity 800 kW.

Now change the unit size to 1,200 kW. N = 2, N+1 = 3 (3,600 kW), 2N = 4 (4,800 kW). Unit size changes the cost of redundancy, especially for N+1: smaller units give less excess capacity.

Unequal units

With different sizes, remove the largest unit and check what remains. For example, units of 1,000, 1,000 and 600 kW for a 1,500 kW load: remove a 1,000 kW unit, 1,600 kW remains, so N+1 holds. Remove the largest in each check, since that is the worst case.

Check the usable capacity

Use capacity after derating and any loading limit, not the nameplate. See derating. Also check the largest motor start and load steps with one unit out. See load-step screening.

Where counting units fails

See redundancy architectures.

Capacity rules by level

LevelSets installedCapacity available with one failed
NN(N−1) × P, below load
N+1N+1N × P, equal to load
N+2N+2(N+1) × P, with margin
2N2 × NN × P in the surviving system

Worked example (illustrative)

Load 900 kW, unit rating 500 kW at site derating. N = 2. N+1 installs 3 units (1,500 kW), with one failure leaving 1,000 kW against 900 kW load (90 percent loading). N+2 installs 4 units; with two failed, 1,000 kW remains. 2N installs two independent systems each of two 500 kW units (4 in all), each system able to carry the load on its own only if loaded to 900 of 1,000 kW, so a failure in one system leaves the other at 90 percent with no internal spare.

Notes

Redundancy needs independent failure paths. See N to 2N architecture and redundancy in critical power.

Common mistakes

What to send us

Send the critical load, unit sizes under consideration and the redundancy target. Send your application details. See also redundancy architecture selection.

Questions engineers ask

Is N+1 always one extra generator?

With equal units, yes. With unequal units, test by removing the largest and checking the capacity left.

Why is 2N so expensive?

It doubles the capacity and infrastructure, since each system must carry the whole load.

Does N+1 cover maintenance?

It covers one unit being out, whether failed or in maintenance, but not a failure during maintenance.

Should the UPS and transformers be redundant too?

For true resilience, yes, because the weakest element sets the system.

Figures are illustrative. Redundancy decisions need a full system review.

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