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5 Types of equipment which generates the most harmonics
5 Types of equipment which generates the most harmonics (photo credit: forosdeelectronica.com)

Non-linear loads //

Harmonic load currents are generated by all non-linear loads. This includes:

  1. Switched mode power supplies (SMPS)
  2. Electronic fluorescent lighting ballasts
  3. Variable speed drives (VSDs)
  4. Uninterruptible power supplies (UPS)
  5. Magnetic-cored devices

1. Switched mode power supplies (SMPS)

The majority of modern electronic units use switched mode power supplies (SMPS).

Safety Class 2 switch mode power supply
Safety Class 2 switch mode power supply (photo credit: hypex.nl)

These differ from older units in that the traditional step-down transformer and rectifier is replaced by direct controlled rectification of the supply to charge a reservoir capacitor from which the required direct current is derived by a method appropriate to the output voltage and current required.

The advantage – to the equipment manufacturer – is that the size, cost and weight is significantly reduced and the power unit can be made in almost any required form factor.

The disadvantage – to everyone else – is that, rather than drawing continuous current from the supply, the power supply unit draws pulses of current which contain large amounts of third and higher harmonics and significant high frequency components.

A simple filter is fitted at the supply input to bypass the high frequency components from line and neutral to ground, but it has no effect on the harmonic currents that flow back to the supply.

For high power units there has been a recent trend towards so-called power factor corrected inputs. The aim is to make the power supply load look like a resistive load so that the input current appears sinusoidal and in phase with the applied voltage. It is achieved by drawing input current as a high frequency triangular waveform that is averaged by the input filter to a sinusoid.

This extra level of sophistication is not yet readily applicable to the low-cost units that make up most of the load in commercial and industrial installations.

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2. Fluorescent lighting ballasts

Magnetic ballast for single-ended compact fluorescent lamps
Magnetic ballast for single-ended compact fluorescent lamps

Electronic lighting ballasts have become popular in recent years following claims for improved efficiency. Overall they are only a little more efficient than the best magnetic ballasts and in fact, most of the gain is attributable to the lamp being more efficient when driven at high frequency rather than to the electronic ballast itself.

Their disadvantage – and an important one in large installations – is that the inverter generates both harmonics in the supply current and electrical noise (read more about it).

Power-factor corrected types are becoming available which reduce the harmonic problems, but at a significant cost penalty.

Electronic ballast for fluoroscent lamps
Electronic ballast for fluoroscent lamps

Magnetic ballasts also generate harmonics but levels are generally lower than those produced by electronic units. They often incorporate a local power factor correction capacitor which act as a low impedance shunt for the harmonic currents. Consequently, the level of distortion that propagates into the distribution system is lower and fewer problems arise.

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3. Variable speed DC drives

Lathe Variable Speed DC Spindle Motor
Lathe Variable Speed DC Spindle Motor (photo credit: micro-machine-shop.com)

Variable speed controllers for DC motors are usually based on the three-phase bridge, which is also used in D.C. transmission links and uninterruptible power supplies. It is also known as the six-pulse bridge because there are six pulses per cycle (one per half cycle per phase) on the D.C. output.

Three-phase, or six-pulse, bridge
Figure 1 – Three-phase, or six-pulse, bridge

The current is described by the series:

Six-pulse bridge current formula

The bridge will therefore produce harmonics of the order:

n = 6k ± 1 where k is an integer

and the magnitude of each harmonic current will be:

In = I1 / n where I1 is the 50 Hz component. 

These equations are valid only when the source impedance is low and the supply voltage is a pure sinusoid. In theory, the controller produces 30% total harmonic currents distributed as follows:

Table 1 – figures for harmonic current distortion

 Harmonic number57111317192325
 Magnitude (%)20.014.39.17.75.95.34.34.0

In practice, DC motors have finite inductance, so there is a 300 Hz ripple (i.e. six times the supply frequency) on the DC current. This changes the harmonic profile of the supply current and fifth harmonic currents of up to 50% have been encountered with some motors.

There is a trend towards using motors with lower inductance to reduce cost, but this can prove to be a false economy; the higher levels of harmonics are more difficult to deal with and harmonic filters, often designed for the theoretical case, may be damaged.

The magnitude of the harmonics 5, 6 is significantly reduced by the use of a twelve-pulse bridge. This is effectively two six-pulse bridges, fed from a star and a delta transformer winding, providing a 30 degrees phase shift between them. The fifth and seventh harmonics are theoretically removed, but in practice, they are only reduced by a factor between 20 and 50.

The higher harmonics remain unchanged, reducing the total harmonic current to about 12%, again assuming zero source impedance. Not only is the total harmonic current reduced, but also those that remain are of a higher order making the design of the filter much easier.

Further increase in the number of pulses to 24, achieved by using two parallel twelve-pulse units with a phase shift of 15 degrees, reduces the total harmonic current to about 4.5%. The extra sophistication increases cost of course, so this type of controller would be used only when necessary to comply with the electricity suppliers’ limits.

The figures for harmonic current distortion given above assume that the source impedance is zero. If it were, the level of harmonics would be irrelevant because no voltage distortion would result and other consumers would not be affected. In reality, the source impedance is finite (see Table 1) and, under these conditions, the current distortion is considerably reduced.

Of course, since the distorted current is flowing through the source impedance, voltage distortion results.

Twelve-pulse Bridge
Figure 2 – Twelve-pulse Bridge

Variable speed controllers for AC motors use similar converters to produce DC followed by an inverter to produce AC at the required frequency for the drive. As well as the harmonics that would be expected for the converter, other components of current are produced which are related to the operating speed of the drive.

These components are referred to, somewhat confusingly, as inter-harmonics or non-integer harmonics, but they are more akin to the sidebands found in any modulation process.

The harmonic current profile is dependent on the precise design of the converter and inverter. Because of the large size of drives of this type, local filtering is normally provided but the design of filters for these systems is often very difficult.

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4. Uninterruptible power supplies (UPS)

APC's smart UPS
APC’s smart UPS (photo credit: rainydaymagazine.com)

UPS are available in many different forms depending on how the power conversion is achieved and how the change over from external to internal supply takes place. Most units up to a few MVA use solid state inverters (termed static) to generate the output power, very large units use motor generators (rotary).

Typical configurations include:

On-line UPS //

An on-line UPS converts AC line power to DC to keep a battery charged and inverts DC battery power to produce AC. The load is continuously fed from the constant battery power, regardless of supply conditions.

Because the whole of the supply is converted twice, this type of UPS is relatively inefficient and is used only for small units.

Off-line UPS //

An off-line UPS feeds the load from the mains supply when it is available. The inverter/converter is normally inactive until a disruption occurs, when the battery delivers power to the inverter, which converts the DC power back to AC power for the load.

The drawback is that the time needed to transfer from AC to battery can present a problem for some sensitive equipment such as computers and servers.

Line-interactive technology //

A line-interactive design combines the characteristics of on-line and off-line designs. The inverter in this design performs a dual function. Under normal operation, it keeps the battery fully charged. When a power supply failure is detected, the inverter is disconnected from the supply and power is provided from the battery through the inverter to the load.

Similar to an off- line UPS, line-interactive technology is efficient because power is normally supplied directly from the line. Heat and stresses are minimised because the line-interactive UPS delivers only incremental power, compensating for line voltage sags via the output transformer. Like the on- line UPS, it also provides continuous power.

However, the line interactive UPS does not provide the complete isolation between the line and load that is offered by the on-line UPS.

The input converter of a UPS is very similar to that for the variable speed drive discussed above and results in similar harmonic distortion.

During normal operation the off-line and line interactive designs draw a relatively low input current, having only to maintain the battery charge, but the installation design must take account of the effect of the full load current which will flow when recovering from a blackout.

How a UPS Works? (VIDEO)

Cant see this video? Click here to watch it on Youtube.

The load on the output of the UPS is invariably composed of IT equipment and is therefore non- linear and rich in low order harmonics. The output transformer of the UPS must be adequately rated to cope with the excess heating that will result.

In three-phase systems the ‘triple-N’ harmonics (i.e. harmonics which are an odd multiple of three) add in the neutral. All neutral conductors within the UPS and in the rest of the distribution circuit should be adequately rated to carry these increased currents, which can approach twice the phase current.

Provision of a third harmonic filter on the UPS output is desirable, but will often require very large and expensive components.

When specifying a UPS care should be taken to ensure that the true nature of the load is understood and properly communicated to the supplier.

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5. Magnetic cored devices

The relationship between the magnetising current and the resulting flux density in an inductor with a magnetic core is inherently non-linear. If the current waveform is constrained to be sinusoidal, i.e. the series resistance in the circuit is high, then the magnetic field will contain harmonics.

This is referred to as forced magnetisation. If the voltage across the coil is sinusoidal, i.e. the series resistance is low, the flux density will also be sinusoidal but the current will contain harmonics – this is free magnetisation.

Transformers typically introduce a small amount of voltage distortion, about 1.5%, into the output waveform.

Fluorescent light fittings using chokes generate some harmonics due to the non-linear behaviour of the lamp itself (it has a negative dynamic resistance) and the non-linear behaviour of the core. Levels are generally lower than those produced by electronic ballasts.

Electrical transformer
Electrical transformer (photo credit: globalspec.com)

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Reference // A Good Practice Guide to Electrical Design – Copper Development Association (download here)

About Author //

author-pic

Edvard Csanyi

Edvard - Electrical engineer, programmer and founder of EEP. Highly specialized for design of LV high power busbar trunking (<6300A) in power substations, buildings and industry fascilities. Designing of LV/MV switchgears.Professional in AutoCAD programming and web-design.Present on

4 Comments


  1. Habib
    Jun 12, 2015

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  2. John chandra
    May 04, 2015

    The Article presented here is very useful for my new engineer as a reference to excel his knowledge on electrical engineering subject. Two thumbs up.


  3. mostafa elhabashy
    May 01, 2015

    I can not download articlesusing the android application. Pleas update application to solve this problem


  4. Manuel Bolotinha
    Apr 29, 2015

    One of the main source of harmonics is power rectifiers, which can be found in railway and subway substations and in metal industry.

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