# Aeolian Vibration of Transmission Conductors

- Link: https://studyelectrical.com/2019/07/aeolian-vibration-of-transmission-conductors.html
- Published: 2019-07-06T12:52:54+00:00
- Author: Tesla

## What is Aeolian Vibration?

**Aeolian vibration is a type of motion caused by wind on conductors and overhead
shield wires of transmission and distribution lines. Aeolian vibration is characterised
by low amplitude (conductor diameter) high frequency (5 to 150 Hz).**

![wind induced vortex for aeolian vibration](https://studyelectrical.com/wp-content/
uploads/2019/07/wind-induced-vortex-for-aeolian-vibration.png)

Wind-induced vortex for aeolian vibration

Aeolian vibration of conductors and overhead shield wires (OHSW) on transmission
and distribution lines can produce damage that will negatively impact the reliability
or serviceability of these lines.

In this phenomenon, conductor strand fatigue failures occur at the suspension clamps
or at the clamps of the other devices installed on the conductor such as spacers,
spacer dampers, dampers and other devices.

Lines damaged by vibration may have to be derated or even taken out of service until
repairs can be made. This could have an impact on an entire network.

Read: [Bundled Conductors in Transmission Lines](https://studyelectrical.com/2019/01/bundled-conductors.html)

**Wind causes a variety of motions on transmission line conductors. Important among
them are**

 1. **Aeolian Vibration**
 2. **Subconductor oscillation**
 3. **Galloping**
 4. **Wind sway**

**Subconductor oscillation, galloping and wind sway are associated with higher wind
velocity.** These motions are generally characterized as low frequency and high 
amplitude. If these motions are not controlled, they can produce damage to the conductor
and other elements in the transmission system.

**Aeolian vibration, on the other hand, is associated with smooth non-turbulent 
winds** in the range of 2 MPH (miles per hour) to 15 MPH and can occur on a daily
basis. Aeolian vibration is characterized by high frequency and low amplitude motion.

This article describes the theory and mechanism of aeolian vibration, effects of
aeolian vibration and different dampers used to reduce the harmfull effect of aeolian
vibration.

### How Aeolian Vibration Occurs?

Aeolian vibrations occur when a smooth wind flow of 2 to 15 mph (1 to 7 m/s) interacts
a conductor.

When this happens, air accelerates to go around the conductor and then separates
behind it as seen in Figure below.

![aeolian vibration](https://studyelectrical.com/wp-content/uploads/2019/07/aeolian-
vibration-in-transmission-lines.jpg)

Vortex formation and Aeolian Vibration occurring in a Transmission Line

This motion creates a low-pressure region at the opposite side of the conductor 
and the air shows a tendency to move
into this vacuum zone. This is the vortex shedding
action that creates an alternating pressure imbalance causing the conductor to move
up and down at a ninety-degree angle to the flow direction.

On the other hand, winds higher than 15 mph usually contain a considerable amount
of turbulence and decrease the generation of the vortices.

## Theory/Mechanism of Aeolian Vibration

When a “smooth” stream of air passes across a cylindrical shape, such as a conductor
or overhead shield wires, vortices (eddies) are formed on the leeward side (back
side).

!["vortex](https://studyelectrical.com/wp-content/uploads/2019/07/vortex-formation.
jpg)

Vortex formation on the leeward side of conductor

These vortices alternate from the top and bottom surfaces and create alternating
pressures that tend to produce movement at right angles to the direction of the 
air flow. This is the mechanism that causes aeolian vibration.

The term “smooth” was used in the above description because unsmooth air (i.e., 
air with turbulence) will not generate the vortices and associated pressures. The
degree of turbulence in the wind is affected both by the terrain over which it passes
and the wind velocity itself.

It is for these reasons that aeolian vibration is generally produced by wind velocities
below 15 miles per hour (MPH). Winds higher than 15 MPH usually contain a considerable
amount of turbulence, except for special cases such as open bodies of water or canyons
where the effect of the terrain is minimal.

![Aeolian Vibration vortice formation](https://studyelectrical.com/wp-content/uploads/
2019/07/Aeolian-Vibration-vortice-formation.jpg)

The frequency at which the vortices alternate from the top to bottom surfaces of
conductors and shield wires can be closely approximated by the following relationship
that is based on the Strouhal Number.

Vortex Frequency (Hertz) = 3.26V / d

where: V is the wind velocity component normal to the conductor or OHSW in miles
per hour
d is the conductor or OHSW diameter in inches3.26 is an empirical aerodynamic
constant

One thing that is clear from the above equation is that the frequency at which the
vortices alternate is inversely proportional to the diameter of the conductor or
OHSW.

For example, the vortex frequency for a 795 kcmil 26/7 ACSR (“Drake”) conductor 
under the influence of an 8 MPH wind is 23.5 Hertz.

A 3/8” OHSW under the same 8 MPH wind will have vortices alternating at 72.4 Hertz.
The fact that the vortex frequency for an OHSW is much higher than that for a conductor
will be important to remember when the effects of vibration are discussed.

Sustained aeolian vibration activity occurs when the vortex frequency closely corresponds
to one of the natural vibration frequencies of the span of conductor or OHSW. This
sustained vibration activity takes the form of discrete standing waves with forced
nodes at the support structures and intermediate nodes spaced along the span at 
intervals that depend on the particular natural frequency.

### Factors Affecting Aeolian Vibration

The main factors affecting the aeolian vibrations are

 1. the span length,
 2. the tension and
 3. the mechanical impedance of the conductor.

The amount of mechanical energy passing through the conductor increases with the
span length.

An increase in tension, on the other hand, raises the vibration tendency of a conductor
due to a decline in its natural self-damping.

Finally, the mechanical impedance is determined by the mechanical and material properties
of the conductor.

Therefore, maximum vibration amplitude is generally equal to the conductor diameter
when the most serious aeolian vibrations occur by steady winds at the long spans
with high conductor tensions in the smooth terrain.

Aeolian vibration creates dynamic bending stresses on the conductor which cause 
the fatigue failure of strands at the supporting locations when the endurance limit
of the strands is exceeded.

Failure time depends on the magnitude of the bending stresses and the number of 
bending cycles that exceed the endurance limit of the strands.

During warmer months, bending stresses are generally below the endurance limit but
they usually exceed the endurance limit during the winter since the tensions are
higher that reduce the motility of the conductor (self-damping).

### Effects of Aeolian Vibration

It should be understood that the existence of aeolian vibration on a transmission
or distribution line doesn’t necessarily constitute a problem. However, if the magnitude
of the vibration is high enough, damage in the form of abrasion or fatigue failures
will generally occur over a period of time.

The two important effects of Aeolian vibration are

 1. **Abrasion Damage**
 2. **Fatigue Failure**

Abrasion is the wearing away of the surface of a conductor or OHSW and is generally
associated with loose connections between the conductor or OHSW and attachment hardware
or other conductor fittings. The looseness that allows the abrasion to occur is 
often the result of excessive aeolian vibration.

Abrasion damage can occur within the span itself at spacers, spacer dampers and 
marker spheres, or at supporting structures.

Fatigue failures are the direct result of bending a material back and forth a sufficient
amount over a sufficient number of cycles. Removing the pull tab from a can of soda
is a good example.

All materials have a certain “endurance limit” related to fatigue. The endurance
limit is the value of bending stress above which a fatigue failure will occur after
a certain number of bending cycles, and below which fatigue failures will not occur,
regardless of the number of bending cycles.

When the bending stresses in a conductor or OHSW due to aeolian vibration exceed
the endurance limit, fatigue failures will occur. The time to failure will depend
on the magnitude of the bending stresses and the number of bending cycles accumulated

### Aeolian Vibration Damping Devices

In order to deal with the negative effects of aeolian vibration, a variety of impact
and tuned dampers are designed.

Among them the most commonly used ones are

 * **Torsional dampers, **
 * **Elgra dampers, **
 * **Spiral dampers, **
 * **Spring-piston dampers, **
 * **Pneumatic dampers and **
 * **Stockbridge dampers.**

Torsional dampers, Elgra dampers, and spiral dampers are classified as the impact
dampers that use collision energy to dissipate the vibration energy.

Torsional dampers simply increase the interstrand friction of the conductor as a
result of the torsional motion produced by the offset weights when the conductor
vibrates. They are effective on conductors smaller than about 12.5 mm in diameter(
1/2″).

Unfortunately, torsional dampers are efficient in a narrow frequency range and have
a tendency to freeze up in the winter. Elgra dampers, on the other hand, are effective
to give different frequency responses with their variety of plate-type weights.

Spiral dampers are geometrically separated from the torsional dampers and the Elgra
dampers but they also suppress the vibration by impacting against the conductor.

![Stockbridge Damper](https://studyelectrical.com/wp-content/uploads/2019/07/Stockbridge-
Damper.jpg)

Stockbridge Damper

Spring-piston dampers, pneumatic dampers, and Stockbridge dampers are classified
as the tuned dampers which are effective when their natural frequency coincide with
the excitation frequency of the conductor.

Unlike the spring-piston dampers and the pneumatic dampers, the Stockbridge dampers
can be tuned to be effective over a wide range of frequency and they can dissipate
vibrations in any directions.

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## Comments

### By: kamal elharthy

- Link: https://studyelectrical.com/2019/07/aeolian-vibration-of-transmission-conductors.html#comment-22189
- Published: 2023-08-23T07:10:31+00:00

Thanks for the article

Does Aeolian vibration occure on guy wires or only on conducters which are installed
horizontally?
 Guy wires are installed differently on towers with lower tension,
span length and inclination!

Best regards
 Kamal

### By: Joseph Renowden, P.E.

- Link: https://studyelectrical.com/2019/07/aeolian-vibration-of-transmission-conductors.html#comment-31156
- Published: 2024-04-15T21:02:43+00:00

Yes, guy wires under tension are subject to aeolian vibration and may require dampers
to prevent fatigue damage.
 The vibration energy can be transferred to the tower,
which can have members in resonance and get damaged.

### By: Joe Renowden, P.E.

- Link: https://studyelectrical.com/2019/07/aeolian-vibration-of-transmission-conductors.html#comment-31426
- Published: 2024-04-25T13:14:08+00:00

Kamal, a more broader response to the question about vibration on guy wires follows:

Any shape wire – round, oval, square, etc., – under some tension, in any orientation–
horizontal, vertical, inclined – can be set into vibration by low velocity (5 to
15 mph), laminar wind speeds and the vortex shedding that is created by these conditions.
This includes guy wires, telephone cables even bridge support cables, if they are
not mitigated by design or by additional damping mechanisms. Tall radio and television
station antennas having guy wires of hundreds of feet long are particularly suseptable
to aeolian vibration. They may have some sort of damping attached. Their vibration
may damage connecting hardware or transfer the energy to the tower that they support,
causing tower members to vibrate. Note: Steel guy wires have much greater fatigue
resistance to vibration damage than aluminum conductors, however ware on connecting
hardware may result.
