Battery knowledge · Applications and market

Rate of change of frequency

How fast grid frequency moves after a sudden imbalance such as a large generator tripping. Grids with less rotating inertia see steeper slopes; Great Britain has relaxed its loss-of-mains protection settings from 0.125 Hz/s to 0.5–1 Hz/s. Fast battery response and grid-forming inverters that emulate inertia help keep it within limits.

Abbreviation
RoCoF
Unit
Hz/s
Relationship
RoCoF = df/dt

Example

Measure a frequency slope

If measured grid frequency falls from 50.0 Hz to 49.8 Hz over 0.5 s, the average RoCoF is −0.4 Hz/s. Reporting windows and filtering affect the observed value.

Explore the graph

A linear frequency segment has a constant rate of change.

Authored frequency excursion
Authored frequency excursionElapsed time (s) versus Grid frequency (Hz). f(t) = 50 + slope × t. Interpretation follows the graphs.480490.5501511.5522Elapsed time (s)Grid frequency (Hz)
f(t) = 50 + slope × t

The selected slope is -0.5 Hz/s; after 2 s the authored frequency is 49 Hz.

RoCoF = df/dt

Illustrative model. A short illustrative line, not a power-system response or protection-setting recommendation.

Use in Lemonergy

Start with mission energy, peak power and operating conditions.

This is a reference concept. No executable Lemonergy block has been verified for this term.

References & further reading

Further reading on this topic

These sources provide broader context; they are not presented as citations for every statement in this entry.

  1. DOE/EPRI 2013 Electricity Storage Handbook in Collaboration with NRECA

    Sandia National Laboratories · 2013

    Topic background · Storage technologies and grid services. The publisher notes that its historical cost and deployment figures are outdated.