Industrial Engineer · phase 10 of 16

RMS

Root-mean-square value used to express the heating-equivalent magnitude of an AC voltage or current.

The Explain card

Plain English
RMS is the way AC voltage and current are usually quoted. It is the steady DC value that would produce the same heating, which is why a 480 volt line has peaks near 680 volts.
Example
A meter reads 27 amps RMS on a motor lead. The current actually swings between about plus and minus 38 amps, and the 27 is what heats the winding.
Why it matters
Drive outputs are chopped waveforms, so a cheap meter that assumes a sine reads them wrong. A true RMS meter is the only kind that tells the truth on a drive output, and even then the reading includes the PWM ripple.
Hook
The heating equivalent, which is the number that matters to copper.

Word knowledge

How the word is built, where it came from, and what it sits beside in memory.

In a sentence

During commissioning, the technician compares the VFD input RMS voltage on all three phases before enabling the motor.

Letter by letter
  • R Root the last calculation is named first
  • M Mean names the averaging step
  • S Square names the first calculation
Where it came from
Origin
English initialism formed from the mathematical compound root-mean-square
Entered the language
1895
What changed
The phrase began as a mathematical label, entered electrical engineering terminology, and later spread throughout signal measurement.
How it is spelled
Capitalisation
Usually written RMS in capitals, even mid-sentence; lowercase rms also occurs in technical notation.
Plural and possessive
Use RMS values for the plural and RMS's for the singular possessive.
Out loud
Spelled out letter by letter.

Same family

  • AC
  • DC
  • THD
Broken into chunks
  • root
    • square root
    • root-sum-square
  • mean
    • arithmetic mean
    • mean square
  • square
    • square wave
    • least squares
What it sits beside

Same subject

  • true-RMS meter
  • peak voltage
  • crest factor
  • harmonic distortion

Same shape

AC magnitude descriptors

  • RMS
  • peak
  • peak-to-peak

electrical measurement initialisms

Where it sits in the deck

Phase 10: VFD Electrical and Motor Fundamentals

The physics under the parameters: slip, torque, flux, and the relationship between frequency and voltage that every drive is really controlling.