Lesson Transformers · Three-phase banks and open delta
Open delta in depth
Open delta keeps three-phase alive with two transformers, at the cost of capacity and thermal stress. This lesson digs into the 57.7% / 86.6% numbers, center-tap single-phase stress, and when a “temporary” open delta becomes a hazard.
From three cans to two without killing the plant
In closed delta, three transformers form the triangle. If one fails or is removed, the other two can still deliver three line voltages. That is open delta (V-connection). The voltages remain; the power available falls.
Memorize both framings of capacity
Framing A — two units alone: open-delta bank ≈ 86.6% of (kVA₁ + kVA₂) for balanced three-phase load.
Framing B — lost one of three equals: remaining ≈ 57.7% of the original closed-delta bank capacity (not 66.7%).
Example: 3 × 50 kVA closed = 150 kVA. Open with two → ≈ 86.6 kVA three-phase useful (≈57.7% of 150), not 100 kVA.
Why it hurts thermally
Each remaining transformer operates in a different duty than in a balanced closed delta. It is easy to overload one unit while “line voltage looks fine.” Oil/winding temperature and smell beat the customer’s voltmeter.
Center-tap and 120/240 V loads
Open (or closed) delta often has a center tap on one leg for 120/240 V single-phase. Lighting and receptacles hang there. Pile single-phase load on that tap and keep large three-phase motors, and the “lighting” transformer fails first.
Emergency recalculation checklist
Before leaving a plant on open delta: (1) real three-phase kVA demand, (2) open-delta capacity available, (3) expected current per transformer, (4) single-phase share, (5) hours vs forever. If numbers do not close, bring a third unit or shed load.
Why intuition says 2/3 and the book says ~57.7%
Closed delta capacity is not “three independent pipes.” Magnetic and current relationships in the triangle mean removing one unit hurts more than removing one-third of the nameplate sum. The 57.7% figure (√3/3) is the standard teaching result for equal transformers—memorize it for emergencies.
Center-tap as a bottleneck
List every 120 V and 240 V load on the lighting transformer. Convert to kVA. Compare to that one unit’s rating—not to the bank’s open-delta three-phase rating. Many “mystery” failures are simply single-phase overload on the tapped can.
Communication with the customer
Say: “You still have three-phase, at roughly half the original bank capacity, and the lighting transformer is carrying extra risk.” Clear language prevents the “temporary” patch from lasting two years.
Field focus for this lesson
Translate the theory into a two-minute job briefing: what you will measure first, what reading would change your mind, and what you will leave documented for the next shift. If you cannot brief it, you do not own it yet.
Numbers and habits that save you in the field
Before you speak, write down:
- What topology or machine you have in front of you.
- Voltages and currents with the measurement point.
- Frequency or rpm if they apply.
- What the nameplate or diagram says.
- What changes if you isolate one part of the circuit.
A diagnosis without those data is conversation, not the trade.
How to study this lesson
- Explain the central block out loud to an imaginary helper.
- Rewrite the field case with numbers from a real piece of equipment.
- Complete the checklist without looking.
- Mark which rows in the mistakes table have already happened to you.
If you cannot say the core idea in one minute, return to the first third.
Safety relationship
Energized measurement needs PPE, a meter of the right category, and a plan if the reading does not make sense. Capacitors, inductive fields, rotating shafts, and power neutrals do not forgive haste. If the procedure says de-energize and verify absence of voltage, that rules.
Field case
Situation. Maintenance removed a failed 75 kVA unit from a 3 × 75 kVA delta bank and left open delta. Someone says “we still have 150 kVA.”
How to think. Two × 75 = 150 nameplate sum, but three-phase capability ≈ 0.866 × 150 ≈ 130 kVA—and compared with the original 225 kVA bank, you are near 57.7% (≈130 kVA). If plant demand was 180 kVA, you are already in trouble.
Conclusion: never confuse nameplate sum with open-delta capability.
In the field
Symptom
Chronic overheating; nuisance overload; voltage sag under motor start
Where to look
kVA demand vs open-delta capacity; center-tap loading
Likely causes
- Wrong capacity math
- 1φ overload on tapped unit
- long-term patch
What to measure
- kW/kVA demand
- amps per can
- temperatures
What not to do
- Promise “two-thirds capacity” casually
Checklist
- I can explain 86.6% of two units
- I can explain ~57.7% after losing one of three
- I inventory 1φ vs 3φ loads
- I treat open delta as capacity-limited
- I set a repair timeline for the third unit