When loads were linear only…
If you take a look at the past, you must notice that power system was much cleaner and straightforward. Most loads were primarily linear in nature. Linear loads draw the full sine wave of electric current at its 50 or 60 cycle (Hz) fundamental frequency. The switching of such loads was smooth, and harmonics disease didn’t spread yet.
Well, that has changed a lot in the last fifteen years. Power quality has got a significant meaning. Nowadays, harmonics distortion is a regular occurrence in the power system. To be able to better understand the problem of harmonicdistorted networks in the operation of various electrical devices, we will try to explain the real issues and briefly present the solutions.
It’s important to understand that measurements to obtain a detailed evaluation of the on sitesituation are essential for the planning of remedial measures for the reduction of perturbations (power quality distortions).
Before diving into details, I would like to add that one of the most promising and highly paid jobs in the electrical engineering industry is undoubtedly an expert in power quality.
1. Harmonics and Nonlinear Loads
Figure 1 shows nice balance singlephase, linear loads. As the figure shows, little or no current flows in the neutral conductor when the loads are linear and balanced.
The advent of nonlinear electronic loads, where the AC voltage is converted to a DC voltage, altered the way power was traditionally drawn from a normal AC sine wave. During the AC to DC conversion, power electronic devices are switched on during a fraction of each 1/2 cycle causing voltage and current to be drawn in pulses to obtain the required DC output.
This deviation of voltage and current from the normal sine wave results in harmonics.
The amount of voltage distortion depends on:
 System impedance
 Amount of distorted current
Devices that can cause harmonic disturbances include rectifiers, thrusters and switching power supplies, all of which are nonlinear. Further, the proliferation of electronic equipment such as computers, UPS systems, variable speed drives, programmable logic controllers (PLCs), and the like: nonlinear loads have become a significant part of many installations.
Other types of harmonicproducing loads include arcing devices (such as arc furnaces, welders and fluorescent lighting).
Nonlinear load currents vary widely from a sinusoidal wave shape; often they are discontinuous pulses. This means that nonlinear loads are extremely high in harmonic content.
Triplen harmonics are the 3rd, 9th, 15th,… harmonics. Further, triplen harmonics are the most damaging to an electrical system because these harmonics on the Aphase, Bphase and Cphase are in sequence with each other. Meaning, the triplen harmonics present on the three phases add together in the neutral, as shown in Figure 2, rather than cancel each other out, as shown in Figure 1.
Odd nontriplen harmonics are classified as “positive sequence” or “negative sequence” and are the 1st, 5th, 7th, 11th, 13th, etc.
In general, as the order of a harmonic gets higher, its amplitude becomes smaller as a percentage of the fundamental frequency.
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2. Harmonic Issues
Harmonic currents may cause system losses that over burden the distribution system. This electrical overloading may contribute to preventing an existing electrical distribution system from serving additional future loads.
In general, harmonics present on a distribution system can have the following detrimental effects:
 Overheating of transformers and rotating equipment
 Increased hysteresis losses
 Decreased kVA capacity
 Overloading of neutral
 Unacceptable neutraltoground voltages
 Distorted voltage and current waveforms
 Failed capacitor banks
 Breakers and fuses tripping
 Double sized neutrals to defy the negative effects of triplen harmonics
In transformers, generators and uninterruptible power supplies (UPS) systems, harmonics cause overheating and failure at loads below their ratings because the harmonic currents cause greater heating than standard 60 Hz current. This results from increased eddy current losses, hysteresis losses in the iron cores, and conductor skin effects of the windings.
In addition, the harmonic currents acting on the impedance of the source cause harmonics in the source voltage, which is then applied to other loads such as motors, causing them to overheat.
At the same time, the harmonics create problems in the application of power factor correction capacitors, they lower the actual power factor.
The rotating meters used by the utilities for watthour and various measurements do not detect the distortion component caused by the harmonics. Rectifiers with diode front ends and large DC side capacitor banks have displacement power factor of 90% to 95%.
More recent electronic meters are capable of metering the true kVA hours taken by the circuit.
Singlephase power supplies for computer and fixture ballasts are rich in third harmonics and their odd multiples. Even with the phase currents perfectly balanced, the harmonic currents in the neutral can total 173% of the phase current. This has resulted in overheated neutrals.
The Information Technology Industry Council (ITIC) recommends that neutrals in the supply to electronic equipment be oversized to at least 173% of the ampacity of the phase conductors to prevent problems. ITIC also recommends derating transformers, loading them to no more than 50% to 70% of their nameplate kVA, based on a ruleofthumb calculation, to compensate for harmonic heating effects.
In spite of all the concerns they cause, nonlinear loads will continue to increase. Therefore, the systems that supply them will have to be designed so that their adverse effects are greatly reduced.
Table 1 shows the typical harmonic orders from a variety of harmonic generating sources.
Table 1 – Source and Typical Harmonics
Source  Typical Harmonics* 
6pulse rectifier  5, 7, 11, 13, 17, 19… 
12pulse rectifier  11, 13, 23, 25… 
18pulse rectifier  17, 19, 35, 37… 
Switchmode power supply  3, 5, 7, 9, 11, 13… 
Fluorescent lights  3, 5, 7, 9, 11, 13… 
Arcing devices  2, 3, 4, 5, 7… 
Transformer energization  2, 3, 4 
* Generally, magnitude decreases as harmonic order increases.
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3. Total Harmonic Distortion
Standard IEEE 519 indicates the limits of current distortion allowed at the PCC (Point of Common Coupling) point on the system where the current distortion is calculated. This standard is more focused on harmonic limits on the system over time. It now clearly indicates that the PCC is the point of connection to the utility.
The standard now primarily addresses the harmonic limits of the supply voltage from the utility or cogenerators.
Table 2 – LowVoltage System Classification and Distortion Limits for 480 V Systems
Class  C  A_{N}  DF 
Special application*  10  16,400  3% 
General system  5  22,800  5% 
Dedicated system  5  36,500  10% 
* Special systems are those where the rate of change of voltage of the notch might mistrigger an event.
 A_{N} is a measurement of notch characteristics measured in voltmicroseconds,
 C is the impedance ratio of total impedance to impedance at common point in system.
 DF is distortion factor.
Table 3 – Utility or Cogenerator Supply Voltage Harmonic Limits
Voltage Range  2.369 kV  69138 kV  >138 kV 
Maximum individual harmonic  3.0%  1.5%  1.0% 
Total harmonic distortion  5.0%  2.5%  1.5% 
Percentages are (Vh/V1)×100 for each harmonic and:
It is important for the system designer to know the harmonic content of the utility’s supply voltage because it will affect the harmonic distortion of the system.
Table 4 – Current Distortion Limits for General Distribution Systems (120–69,000 V)
Maximum Harmonic Current Distortion in Percent of I_{L}  
Individual Harmonic Order (Odd Harmonics)  
I_{SC}/I_{L}  <11  11≤h<17  17≤h<23  23≤h<35  35≤h  TDD 
<20*  4  2  1.5  0.6  0.3  5 
20<50  7  3.5  2.5  1.0  0.5  8 
50<100  10  4.5  4.0  1.5  0.7  12 
100<1000  12  5.5  5.0  2.0  1  15 
>1000  15  7  6.0  2.5  1.4  20 
* All power generation equipment is limited to these values of current distortion, regardless of actual ISC/IL where:
 I_{SC} = Maximum shortcircuit current at PCC.
 I_{L} = Maximum demand load current (fundamental frequency component) at PCC.
 TDD = Total Demand Distortion.
Even harmonics are limited to 25% of the odd harmonic limits above. Current distortions that result in a DC offset, e.g., halfwave converters, are not allowed.
When evaluating current distortion, it is important to understand the difference between THD (Total Harmonic Distortion) and TDD (Total Demand Distortion).
Current THD is not utilized anywhere in the IEEE 519 standard. Instead, the IEEE 519 standard sets limits based on TDD, or Total Demand Distortion. TDD is a calculated value based on the amount of harmonic distortion related to the full load capacity of the electrical system. The formula for calculating TDD is as follows:
The numerator of the formula is the square root of the sum of the current harmonics squared. This value is divided by I_{L}, which is the full load capacity of the system. From this, you can see that even heavily distorted currents (i.e., high current THD) that are only a small fraction of the capacity of the system will result in a low TDD.
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4. Harmonic Solutions
In spite of all the concerns nonlinear loads cause, these loads will continue to increase. Therefore, the application of nonlinear loads such as variable frequency drives (VFDs) and the systems that supply them will require further scrutiny by the design professional. The use of “Clean Power” multipulse VFDs has become a common approach so adverse harmonic effects are greatly reduced.
Tables below depicts many harmonic solutions along with their advantages and disadvantages.
Drives and rectifiers (includes threephase UPS loads)
Table 5 – Harmonic solutions for drives and rectifiers (incl. 3phase UPS loads)
Solutions  Advantages  Disadvantages 
Line reactors 


Krated/drive isolation transformer 


DC choke 


12pulse convertor 


Harmonic mitigating transformers/phase shifting 


Tuned filters 


Broadband filters 


18pulse converter 


Active filters 


Active front end 


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Computers/switchmode power supplies
Table 6 – Harmonic solutions for computers/switchmode power supplies
Solutions  Advantages  Disadvantages 
Neutral blocking filter 


Harmonic mitigating transformers 


Oversized neutral/derated transformer 


Krated transformer 


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Fluorescent lighting
Table 7 – Harmonic solutions for fluorescent lighting
Solutions  Advantages  Disadvantages 
Harmonic mitigating transformers 


Krated transformer 


Low distortion ballasts 


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Welding/arcing loads
Table 8 – Harmonic solutions for welding/arcing loads
Solutions  Advantages  Disadvantages 
Active filters 


Tuned filters 


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System solutions
Table 9 – Harmonic system solutions
Solutions  Advantages  Disadvantages 
Tuned filters 


Harmonic mitigating transformers 


Active filters 


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Source: Power Distribution Systems by Eaton
Muy buena informacion….sera que en el mantenimiento de sistemas electricos…puedo tomar en cuenta los Armonicos??? Como??
Table 1 is interesting, but based on observation, not on theory. Do you know why some harmonics are more prominent than others? It’s due to the ANGLE the incoming sine wave was at when it hit the distortion in question. That’s Bullard Laws of Harmonics #2. For example, the harmonic signature for a sine wave being clipped on the peaks is far different from a sine wave distorted by a zero crossing anomaly. They don’t look anything alike, and it’s super easy to spot the difference. Also, your note in Table 1 is fully explained in my article on LinkedIn https://www.linkedin.com/pulse/whydoharmonicsalmostalwaysrolloffdanbullard/
Thank you for explanation about THD
Thanks for the simple way the write up was presented.
Thank you for this well structured article with lucid explanation.
Very nice article. Just one comment. IL is defined as the full load capacity of the electrical system in the article but it should be stated that IL is the “full load capacity at 60 Hz of the electrical system”. IL as defined by IEEE 519 is a 60 Hz full load current and doest not include harmonics.
Very well structured and easy to understand, a comprehensive explanation of PQ👍.
Knowledge full article, I gained more knowledge by these types of electrical engineering articles. I would like to inform you that please continue writing these types of articles.
Thanks