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IEC 60076-1/-210 min read

Worked Example: Sizing an N-1 Redundant Transformer Pair with Ambient Derating

An 800 kW load with growth margin, hot-climate derating, and full N-1 redundancy — each of the two installed transformers has to be able to carry the entire load alone.

Scenario

Connected load800 kW at 0.9 power factor
Growth margin15%
Safety margin10%
Ambient temperature45°C (reference is 40°C per IEC 60076)
Altitude1000 m (reference/threshold)
Cooling classOil-immersed, natural cooling (ONAN)
Redundancy2 identical units, N-1 (either one must carry full load alone)

Step-by-step calculation

Step 1: Convert connected load to kVA

designLoadKva = kW / PF
800 / 0.9
designLoadKva = 888.9 kVA

Step 2: Apply growth and safety margins

marginedLoad = designLoad x (1 + growth%) x (1 + safety%)
888.9 x 1.15 x 1.10
marginedLoad = 1124.4 kVA

Step 3: Apply ambient temperature derating

IEC 60076 references 40°C max ambient for a transformer's nameplate rating; above that, capacity is commonly derated at roughly 1.25% per °C (an engineering rule of thumb, not the standard's own hot-spot thermal model).

ambientDerate = 1 - max(0, ambient - 40) x 0.0125
1 - (45 - 40) x 0.0125
ambientDerate = 0.9375 (a 6.25% capacity reduction)

Step 4: Apply altitude derating (none triggered here)

Step 5: Find the effective required capacity and per-unit size for N-1

effectiveRequired = marginedLoad / totalDerate perUnit = effectiveRequired / (N - 1)
1124.4 / 0.9375 = 1199.4 kVA; with N = 2, N-1 = 1, so perUnit = 1199.4 / 1
Each unit must be sized for the full 1199.4 kVA effective load

Step 6: Round up to the nearest standard size and total installed capacity

Result summary

CheckRequirementActualStatus
Per-unit required capacityn/a (this is the computed sizing target)1199.4 kVA✓ PASS
Recommended standard transformer sizen/a (this is the result)1500 kVA x 2 units✓ PASS
Even though the actual load only needs about 1199 kVA of effective capacity, full N-1 redundancy means both installed transformers must be rated at 1500 kVA each — 3000 kVA of total installed capacity to reliably deliver about 1200 kVA, a direct and often underappreciated cost of true redundancy.

Key insight: N-1 redundancy for two units means each one is sized for 100% of the load, not 50% — doubling unit count doesn't halve each unit's required size the way it might intuitively seem to, because the whole point of N-1 is that the system must survive losing any single unit and still carry the full load on what remains.

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Frequently asked questions

What if there were three transformers instead of two, still N-1?

With three identical units and N-1 redundancy, any two of the three must be able to carry the full load between them, so each unit is sized for effectiveRequired / 2 rather than effectiveRequired / 1 — a meaningfully smaller per-unit size than the two-transformer case, though total installed capacity (3 x that smaller size) doesn't necessarily drop as much as per-unit size alone suggests.

Why derate for ambient temperature but reference 40°C specifically?

40°C max ambient (with a 30°C monthly average and 20°C yearly average) is IEC 60076's own standard reference service condition that a transformer's nameplate rating is defined against — a transformer isn't 'derated' for operating at exactly its reference conditions, only for operating in a hotter environment than the nameplate rating assumes, which is exactly the 45°C site condition in this example.

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