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Calcimator

System Frequency Response Calculator

Calculate frequency deviation and ROCOF from a generation imbalance.

Inputs

Hz
s
MW
MW
%
%

Results

ROCOF

0.12 Hz/s

Frequency Nadir

59.91 Hz

Steady-State Frequency59.94 Hz
Steady-State Deviation0.06 Hz
Time to Nadir0.75 s
How to Use This Calculator
  1. Enter Nominal Frequency, System Inertia (H), and Total Generation.
  2. Set Power Imbalance, Governor Droop, and Load Damping.
  3. Review ROCOF (Hz/s) and Frequency Nadir (Hz).
  4. Use Steady-State Frequency (Hz) and Steady-State Deviation (Hz) to inform your decision.

How the result changes with Nominal Frequency

Nominal FrequencyROCOFFrequency Nadir
510.1 Hz/s50.92 Hz
540.11 Hz/s53.92 Hz
570.11 Hz/s56.91 Hz
590.12 Hz/s58.91 Hz

What each input means

Nominal Frequency
System nominal frequency (60 Hz in North America, 50 Hz in Europe).
System Inertia (H)
Weighted average inertia constant of all online generators.
Total Generation
Total online generation in the system.
Power Imbalance
Sudden generation loss or load increase.
Governor Droop
Average governor droop setting of online generators.
Load Damping
Load sensitivity to frequency changes.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Nominal Frequency = 60, System Inertia (H) = 5, Total Generation = 50000, Power Imbalance = 1000 = 6 input(s) provided
  2. Calculate ROCOF
    ROCOF
    0.12 = 0.12
  3. Calculate Frequency Nadir
    Frequency Nadir
    59.91 = 59.91
  4. Calculate Steady-State Frequency
    Steady-State Frequency
    59.94 = 59.94
  5. Calculate Steady-State Deviation
    Steady-State Deviation
    0.06 = 0.06

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