Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

A tutorial on Rogowski coil theory and operation

Technical Report ·
DOI:https://doi.org/10.2172/6379900· OSTI ID:6379900
Without rigorously deriving all the equations that describe Rogowski coils, this memorandum describes how Rogowski coils work and why a Rogowski coil detects the charge passing through its toroidal opening yet remains insensitive to the details of the charge distribution. Rogowski coils sense the time derivative of the current (dI/dt), and produce a proportional output. Nevertheless, an experimenter, usually, wants to measure the current. Often, a passive integrator used with a Rogowski coil can provide an output signal proportional to the current passing through the toroidal opening in the Rogowski coil. In order to illustrate the use of Rogowski coils and integrators, this memorandum derives the equation for calculating the sensitivity of a Rogowski coil, and it compares the calculated and measured sensitivities of an actual Rogowski coil: The calculated sensitivity of 84 +- 13 mV-ms/kA agrees well with the measured sensitivity of 81 +- 2 mV-ms/kA. The integrator constructed for and used with the Rogowski coil described here has a measured time constant of 102 +- 4 ms. Therefore, to determine the current passing through the toroidal opening in the Rogowski coil, the experimenter multiplies the voltage at the output of the integrator by 1.26 +- 0.06 kA/mV.
Research Organization:
Sandia National Labs., Albuquerque, NM (USA)
DOE Contract Number:
AC04-76DP00789
OSTI ID:
6379900
Report Number(s):
SAND-87-0043; ON: DE88000006
Country of Publication:
United States
Language:
English