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General synchronizing practice (ANSI device 25 concept)8 min read

Worked Example: Voltage, Frequency and Phase Checks Before Closing a Generator Breaker

The three checks a synchroscope or sync-check relay makes before it's safe to parallel an incoming generator with a live bus.

Scenario

Generator voltage415 V
Bus voltage412 V
Generator frequency50.05 Hz
Bus frequency50.00 Hz
Phase angle difference
Acceptance windowsVoltage ≤5%, frequency ≤0.2 Hz, phase ≤10°

Step-by-step calculation

Step 1: Compute the voltage difference

voltageDiff% = |Vgen - Vbus| / Vbus x 100
|415 - 412| / 412 x 100
0.73%

Step 2: Compute the frequency difference and the resulting beat period

The beat period is the time between successive instants where the two sources are exactly in phase — how long an operator watching a synchroscope has between each pass through the 12 o'clock position.

freqDiff = |fgen - fbus| beatPeriod = 1 / freqDiff
freqDiff = |50.05 - 50.00| = 0.05 Hz beatPeriod = 1 / 0.05
freqDiff = 0.05 Hz, beat period = 20 s

Step 3: Check the phase angle reading

Step 4: Compare all three against their acceptance windows

CheckValueWindowResult
Voltage difference0.73%≤5%OK
Frequency difference0.05 Hz≤0.2 HzOK
Phase angle≤10°OK

Result summary

CheckRequirementActualStatus
Voltage difference≤ 5%0.73%✓ PASS
Frequency difference≤ 0.2 Hz0.05 Hz✓ PASS
Phase angle difference≤ 10°✓ PASS
All three checks pass — it is safe to close the generator breaker and parallel with the bus at this instant.

Key insight: The beat period (20 s here) is what actually makes manual synchronizing practical: with the generator running only slightly faster than the bus, the phase relationship drifts slowly and predictably, giving an operator a wide, repeating window to close the breaker right as the phase angle crosses zero — rather than a split-second opportunity.

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Frequently asked questions

Why must the generator run slightly faster than the bus, not exactly matched?

Running marginally faster (a small positive frequency difference) makes the phase angle drift slowly forward and predictably cross zero, giving the operator or sync-check relay a clean, repeating closing window. If the generator ran slightly slower, the phase would drift backward relative to the bus, which is functionally the same principle but conventionally generators are brought up to speed from below and allowed to drift forward.

What happens if the breaker closes out of synchronism?

Closing significantly out of phase, frequency or voltage causes a large transient current and torque shock to the generator and its prime mover — potentially damaging the windings, shaft or coupling, and in severe cases causing a violent mechanical event. This is exactly why sync-check relays (ANSI device 25) exist to block breaker closure automatically outside the acceptance windows, as a backup to manual synchronizing.

More in Protection & Relaying

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