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Lesson Three-Phase Power · Field and integration

Three-phase integrated

This lesson seals Unit 27: three voltages at 120°, wye vs delta identities, √3 power formulas, PF correction, multi-load thinking, alternator sharing, and metering. Leave able to walk up to a panel, name the topology, predict the readings, and explain why the amps and PF look the way they do.

1

Pocket table

TopicLock in
Phase shift120°
Wye voltageELine = √3 EPhase
Wye currentILine = IPhase
Delta voltageELine = EPhase
Delta currentILine = √3 IPhase
PowerP = √3 ELine ILine PF
ApparentVA = √3 ELine ILine
PF fixAdd capacitive kVAR carefully
2

Story of a service call (integration)

  1. Read the nameplate/service label: 208Y/120? 480Y/277? 480 Δ?
  2. Meter L-L and L-N; confirm √3 story.
  3. Clamp three lines on the problem motor; check balance and rotation.
  4. If PF or feeder loading is the complaint, measure kW/kVAR; consider capacitor stages.
  5. If generation is involved, separate kW and kVAR sharing issues.
  6. Document values so the next tech inherits a baseline.
3

Links to neighboring courses

  • Capacitors and XC explain what PF banks are doing
  • RLC/resonance explain why banks and VFDs sometimes fight
  • Transformers (next courses) will reconnect wye and delta again at larger scale
4

Competence check questions

  • Why is 120 V L-N giving 208 V L-L, not 240?
  • When is ILine equal to IPhase, and when is it √3 larger?
  • What changes if PF rises from 0.7 to 0.95 at fixed kW?
  • What do you measure to catch single-phasing?
  • What paralleling conditions must match before closing?

If you can answer without notes, Unit 27 landed.

5

Numbers you should be able to work cold

Final drill:

  1. 277 L-N → expected L-L? (480)
  2. Delta ILine=34.64 A → IPhase? (20 A)
  3. 480 V, 10 A, PF 0.9 → P? (~7.48 kW)
  4. Single-phasing: which meter catches it fastest? (clamp)
  5. Caps online at light load risk? (leading PF)
6

One-minute panel talk

“This is a 480Y/277 wye. Motors see 480 L-L. L-N lighting lands on 277. Line current equals phase current in the supply wye. Power is √3 EI PF. If we add PF caps, amps should drop at the same kW unless we overcorrect.”

Deliver that cleanly and the course did its job.

7

Next courses

Transformers will reconnect these same wye/delta ideas on primary and secondary windings. Keep the pocket table.

8

Field case

Situation. New helper orientation at a 480Y/277 V plant: correctly predicts 480 L-L and 277 L-N, clamps a delta-connected motor expecting ILine as nameplate FLA, and explains why adding a PF bank should drop feeder amps without reducing shaft work.

What happened. Topology + power + correction language used together.

Applied lesson. Integration is fluent use of the pocket table on live equipment.

### Teaching pause — say this out loud

Before you leave this lesson, explain the main idea to an imaginary first-month helper in under one minute. If you need the book open to do it, reread How it works once more. Field diagnosis only helps after the concept is yours.

Also sketch the key diagram from memory (triangle, wye/delta, filter shape, or charge curve — whichever this lesson used). Labels beat artistic skill.

### Why this lesson matters on Monday morning

Three-phase integrated is not trivia. You will meet it when a meter reading looks “impossible,” when a replacement part is almost right, or when a helper asks why the book uses √3 or lead/lag. Master the model here so the next call is pattern recognition, not panic.

Common Monday uses: verify a nameplate against clamps, explain a PF or capacitor change to a customer, or catch a miswired series/parallel or wye/delta assumption before energizing.

In the field

Symptom

Any three-phase mystery

Where to look

Topology → meters → power/PF → caps/generation

Likely causes

  1. Mixed wye/delta math
  2. missing √3
  3. unbalance
  4. overcorrected PF

What to measure

  1. Full voltage set, three currents, PF/kW, bank status

What not to do

  • Skip identifying wye vs delta before calculating

Checklist

  • I identify wye vs delta before math
  • I apply the correct √3 identity
  • I compute three-phase P and VA
  • I explain PF correction benefits and risks
  • I add loads with P/VAR awareness
  • I meter for unbalance and single-phasing
  • I know paralleling basics for alternators

Common mistakes

Symptom Typical cause Action
Symptom Off-by-√3 everything
Typical cause Wrong topology rule
Action Re-identify wye/delta
Symptom 240 V expectation on 208Y
Typical cause Split-phase habit
Action Teach vector sum
Symptom Caps blamed for “losing power”
Typical cause Confused kW vs kVAR
Action Retell PF story
Symptom Missed open phase
Typical cause Voltage-only checks
Action Always clamp