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
- Enter Nominal Frequency, System Inertia (H), and Total Generation.
- Set Power Imbalance, Governor Droop, and Load Damping.
- Review ROCOF (Hz/s) and Frequency Nadir (Hz).
- Use Steady-State Frequency (Hz) and Steady-State Deviation (Hz) to inform your decision.
How the result changes with Nominal Frequency
| Nominal Frequency | ROCOF | Frequency Nadir |
|---|---|---|
| 51 | 0.1 Hz/s | 50.92 Hz |
| 54 | 0.11 Hz/s | 53.92 Hz |
| 57 | 0.11 Hz/s | 56.91 Hz |
| 59 | 0.12 Hz/s | 58.91 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
- Identify Input Parameters4 parametersNominal Frequency = 60, System Inertia (H) = 5, Total Generation = 50000, Power Imbalance = 1000 = 6 input(s) provided
- Calculate ROCOFROCOF0.12 = 0.12
- Calculate Frequency NadirFrequency Nadir59.91 = 59.91
- Calculate Steady-State FrequencySteady-State Frequency59.94 = 59.94
- Calculate Steady-State DeviationSteady-State Deviation0.06 = 0.06
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