Note: This post is extremely simplified to give some brief information.
Generally a harmonic is a integer multiple of the fundamental frequency (nominal frequency fn). The fundamental frequency is either 50 Hz or 60 Hz.
So, when we have a nominal frequency fn of 50 Hz, the 3rd harmonics is traveling with a frequency of 50 Hz multiplied by 3 = 150 Hz.
We can have harmonics in the voltages and in the currents.
In a normal AC power system we have a sinusoidally current with the same frequency as the voltage. When a non-linear load is connected, the current waveform will become complex. But the wave can be split in harmonic sine waves with the help of the Fourier analysis. Don’t worry, the calculations are done by the CLOU reference standards and advanced AMI meters.
What can cause current harmonics?
- fluorescent lighting
- battery chargers
- variable speed drives
- PV- and wind power converters
Voltage harmonics are caused by the current harmonics, so they are typically smaller than the current harmonics.
Beside of a magnitude harmonics also have a phase angle, indicated relative to the fundamental wave.
What is the impact of harmonics?
Harmonics can cause
- overheating of motors, transformers, cables
- malfunction of relays and breakers
- disturbance of PLC communication
- damage of capacitors or capacitor banks for power factor compensation
What are the limits?
Most countries follow the IEEE 519 recommendations.
Voltages up to 1 kV are allowed to have a individual harmonics content of 5 %, the THD (total harmonic distortion) should not exceed 8 %. Odd current harmonics (between order no. 3 and 11) with a current between 50 A and 100 A are allowed to have 7 % for individual currents and a maximum THD of 8 %.
Please note that utility regulations might be different.
- Harmonics with higher order than 1st are travelling faster than the fundamental frequency. The calculation of required degrees per cycle can be done by dividing 360° by the order no. of the harmonics. For example the 3rd harmonics finishes a cycle after 120°. So when you enter a phase shift of 180° it’s in fact the same like entering 60°.
- We can not say whether a harmonic is leading or lagging.
Sub- and Interharmonics
In power grids, you can also find sub-harmonics with a frequency less than the fundamental frequency (an integer fraction) and interharmonics with non-integer order values. The simulation below also allows the visualization of those components. To see the effect, choose more cycles.
|order no.||amp. %||ang °||draw|
Thank you for reading. If you like you can share your experience with harmonic influences by putting a comment below.
Editor's note: This article was originally published in July 2019 and has been updated for comprehensiveness.