
Harmonics in electrical systems are caused by non-linear loads, such as rectifiers, transistors, and common office equipment like computers and printers. These non-linear loads cause current waveform distortion, resulting in complex waveforms that can lead to resonance and excessive RMS current. To measure harmonics, data is first captured from equipment, infrastructure, and the service panel. Then, the percentage of each individual harmonic is identified, up to the 50th harmonic, using measurement instruments or charts. This information is visualized as a harmonic spectrum, with the sum of all harmonic effects known as Total Harmonic Distortion (THD). By understanding the impact of harmonics, facilities can optimize energy use, protect equipment, and maintain stable electrical systems, often referred to as power quality health.
| Characteristics | Values |
|---|---|
| How to identify harmonics | Identify the percentage of each individual harmonic, from the 2nd to the 50th. This is indicated on a measurement instrument or on a chart from logged data. |
| Visualising harmonics | A graph of the percentages of each harmonic is called a "harmonic spectrum". |
| Total Harmonic Distortion (THD) | The sum of all harmonic effects, usually measured up to the 50th multiple of the fundamental frequency of the power system (60 Hz), at 3kHz. |
| Sources of harmonics | Machinery with rapid fluctuations in load current or voltage, such as large motors, cyclo-converters, and static frequency converters. Non-linear loads like semiconductor devices, office equipment, and lighting. |
| Effects of harmonics | Increased current in the system, particularly the third harmonic, which can cause a sharp increase in zero-sequence current. This can lead to higher heating in motors, shortening their lifespan. |
| Troubleshooting | Capturing data from equipment, infrastructure, and service panels to optimise energy use and protect equipment. Sharing data with filter suppliers for advice on solutions. |
| K-factor | The heating effect due to harmonics, derived from the harmonics using an IEEE-recommended method or a specialised instrument. K-factor-rated transformers are more expensive and may require downtime for installation. |
| Power quality | An estimate of the stability of an electrical system, often described as "power quality health". It is measured on three-phase electrical systems using instrumentation that considers multiple variables. |
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What You'll Learn

Identify individual harmonic percentages
The first step in evaluating power quality is to capture data from equipment, infrastructure, and the service panel. This data can be used to identify individual harmonic percentages.
The first level of investigation is to identify the percentage of each individual harmonic, from the second to the fiftieth. This can be indicated live on a measurement instrument or on a chart from logged and downloaded data, which is visualised as a "harmonic spectrum".
A harmonic spectrum is a graph displaying the percentage of each individual harmonic. The voltage THD (Total Harmonic Distortion) is usually measured up to the 50th multiple of the fundamental frequency of the power system (60 Hz), at 3kHz. This is the sum of all the harmonic effects.
Harmonics are generated by switched mode power supplies used by electronic equipment such as computers, monitors, televisions, and LED lighting. These harmonics are allowed by equipment manufacturers to a certain extent. They use electronic filters inside their devices to prevent the generation of higher harmonics.
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Total Harmonic Distortion (THD)
THD is the sum of all harmonic effects and is typically measured up to the 50th multiple of the fundamental frequency of the power system (60 Hz) at 3 kHz, or according to some guidance, the 40th multiple (2.4 kHz). The THD value in voltage is usually between 1% and 10%, while the current value may exceed 100% when there are a large number of harmonics.
There are several methods to measure THD. One method is to use a THD analyzer to analyze the output wave into its constituent harmonics and note the amplitude of each relative to the fundamental. Another method is to cancel out the fundamental frequency using a notch filter and measure the remaining signal, which represents the total harmonic distortion plus noise. Alternatively, a sine wave generator with very low inherent distortion can be used as input to amplification equipment, and the distortion at different frequencies and signal levels can be measured by examining the output waveform.
Additionally, a spectrum analyzer or a THD analyzer can be used to measure the amplitude of the fundamental frequency and each harmonic, and then calculate THD using Equation 1. Another technique is to capture voltage or current data and perform a Fourier transform on the collected data.
The presence of harmonics in an electrical system can have negative consequences. In audio systems, for example, crossover distortion at a given THD is more audible than clipping distortion at the same THD because the harmonics produced by crossover distortion are stronger at higher frequencies. In power systems, harmonics can cause overheating or equipment damage. Therefore, it is important to monitor and manage THD to ensure the safe and efficient use of electricity.
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K-factor rated transformers
Harmonics in an electrical system can be measured by first identifying the percentage of each individual harmonic, from the 2nd to the 50th. This can be done using a measurement instrument or by logging and downloading data to view a "harmonic spectrum". The harmonic spectrum is a graph that displays the percentage of each individual harmonic. The sum of all harmonic effects is known as Total Harmonic Distortion (THD), which is usually measured up to the 50th multiple of the fundamental frequency of the power system (60 Hz), at 3kHz.
Harmonics can be harmful to the operation of a transformer and can cause overheating and tripped breakers. This is due to non-linear loads that draw current in abrupt pulses, causing harmonic currents to flow back into other parts of the power system. To address this, K-factor rated transformers are designed to handle the additional stress imposed by harmonics. They do not filter or mitigate harmonic distortion but simply withstand it. The K-factor is derived from the harmonics using an IEEE-recommended method and can be calculated using a suitable instrument.
In addition to K-factor rated transformers, there are other options for mitigating harmonics, such as zigzag (harmonic-mitigating) transformers (HMTs) and passive harmonic filters. HMTs filter a portion of the harmonic content, while passive harmonic filters divert the harmonic current away from the main circuit pathway, reducing the circuit impedance.
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Voltage lower or higher than expected
Voltage dips and swells, or voltages that are lower or higher than expected, are a common issue in electrical systems. These voltage fluctuations can be caused by various factors, including harmonics, which are currents or voltages with frequencies that are integer multiples of the fundamental power frequency. In the United States, the fundamental power frequency is typically 60 Hertz, so harmonics would occur at 120 Hz, 180 Hz, and so on.
Harmonics can be caused by power supplies or by equipment operating within the system. Non-linear loads, such as rectifiers, discharge lighting, saturated electric machines, and certain semiconductor devices, can create harmonic distortions in the voltage waveform. These distortions lead to complex waveforms that can cause equipment and conductor heating, misfiring in variable-speed drives, and torque pulsations in motors and generators.
To measure harmonics in an electrical system, you can follow these general steps:
- Identify the percentage of each individual harmonic (2nd, 3rd, 4th, etc.) up to the 50th harmonic. This information can be obtained from a measurement instrument or by analyzing logged data presented in a "harmonic spectrum" graph.
- Calculate the Total Harmonic Distortion (THD), which is the sum of all harmonic effects. Typically, the THD is measured up to the 50th multiple of the fundamental frequency, at 3kHz, or according to some guidelines, the 40th multiple (2.4kHz).
- Analyze the harmonic spectrum graph to identify any specific harmonics that stand out, such as the 3rd, 5th, or 7th harmonics, as these may be indicative of certain equipment or devices in use.
- Compare the measured harmonics against known sources, such as switched-mode power supplies used by electronic equipment like computers, monitors, and LED lighting. Equipment manufacturers often include electronic filters to prevent higher harmonics from being generated.
- Consult IEEE-recommended methods or seek advice from a filter supplier to determine suitable solutions for mitigating harmonic issues. This may involve the addition of passive components, such as resistors, capacitors, or inductors, to prevent or mitigate harmonic distortion.
By following these steps and analyzing the harmonic content of an electrical system, you can identify and address issues related to voltage dips and swells caused by harmonics, optimizing energy use and protecting equipment from potential damage.
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Non-linear loads
The harmonic spectrum of the current must be analysed to determine the excess losses in transformers. The K-factor is a rating system that indicates how well a transformer can handle harmonics generated by non-linear loads. A higher K-factor means greater harmonic heating effects. K-factor rated transformers are more expensive than standard transformers and require downtime for installation.
To measure harmonics caused by non-linear loads, the first step is to identify the percentage of each individual harmonic up to the 50th multiple of the fundamental frequency of the power system. This is indicated on a measurement instrument or a chart, known as the harmonic spectrum. The Total Harmonic Distortion (THD) is the sum of all harmonic effects and is usually measured up to the 50th multiple of the fundamental frequency.
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Frequently asked questions
The first step is to capture data from equipment, infrastructure, and the service panel.
Harmonics are frequency effects caused either by the power supply or by equipment operating within the system. They are generated by non-linear loads, such as semiconductor devices like transistors, IGBTs, MOSFETs, diodes, etc.
The state of the harmonics in the system is called Total Harmonic Distortion or THD.
The K-factor is the heating effect due to harmonics. It is derived from the harmonics using an IEEE-recommended method.











































