# Bundled Conductors in Transmission Lines

- Link: https://studyelectrical.com/2019/01/bundled-conductors.html
- Published: 2019-01-13T18:30:13+00:00
- Author: Tesla

The combination of more than one conductor per phase in parallel suitably spaced
from each other used in an overhead transmission line is defined as a bundled conductor.
The individual conductor in a bundle is defined as a sub conductor.

Bundled conductors in transmission lines are commonly **used to increase electrical
capacity and reduce [corona](https://studyelectrical.com/2015/12/corona-effect-in-power-system-transmission-lines.html)
and radio noise** at voltages above 200 kV.

Bundle conductors consist of several parallel cables connected at intervals by **
spacers**, often in a cylindrical configuration. The optimum number of conductors
depends on the current rating, but typically higher-voltage lines also have higher
current.

![Bundled-conductor](https://studyelectrical.com/wp-content/uploads/2019/01/Bundled-
conductor.png)

Bundled conductors

Though the extent of **corona and radio noise** is impacted by elevation (air density),
and other factors such as conductor surface condition and moisture, the bundle dimensions
are the primary factor in mitigating the onset of [the corona](https://studyelectrical.com/2015/12/corona-effect-in-power-system-transmission-lines.html).

While **increased aluminum content serves** to reduce line losses and increase power
flow, increased diameter also increases the conductor’s surface area. Bundling phase
conductors can effectively do both with greater efficiency. 

Generally, **bundled conductors are used at 200 kV or above** and range from double
bundled to six or even eight bundle designs.

![Bundled Conductors Types](https://studyelectrical.com/wp-content/uploads/2019/
01/Bundled-Conductors-Types.jpg)

Different Types of Bundled Conductors

**American Electric Power (AEP)**, one of the first utilities in the US to build
765 kV lines currently uses a six bundle conductor design, while _China has built
1,000 kV lines with 8 bundle conductors_.

**Bundled ACCC** (Aluminium Conductor Composite Core) conductors have been utilized
on UHV transmission lines due to their high strength and improved conductivity.

## Advantages of Bundled Conductors

### 1. Electrical Benefits

The **most important advantage** of bundled conductors is its **ability to reduce
Corona**. When power is being transferred at very high voltages using a single conductor,
the voltage gradient around it is pretty high and there are high chances of formation
of the corona, especially in bad weather conditions.

However, using several conductors instead of one in close proximity forming bundled
conductors leads to a reduction in voltage gradient and hence the possibility of
corona formation.

In addition to **reducing corona, audible and radio noise** (and associated electrical
losses), bundled conductors also **increase the amount of current that can be carried**
compared to a single conductor of equal aluminum content due to the [skin effect](https://studyelectrical.com/2018/01/what-is-skin-effect-in-wires-and-cables.html)(
for AC lines).

Bundled conductors also **lower reactance and reduce voltage gradients. **According
to [Ohms Law](https://studyelectrical.com/2015/11/ohms-law-ohms-experiment-and-results.html),
reduced reactance reduces the line losses.

#### **Reduces Line Inductance**

Bundling of conductors leads to a **reduction in line inductance**. We know that
inductance of a line is given by,

![inductance of a line](https://studyelectrical.com/wp-content/uploads/2019/01/inductance-
of-a-line.png)

Where, GMD = Geometric mean distance
 GMR = Geometric mean radius

By making bundled conductor, the **geometric mean radius (GMR) of the conductor 
increased**. As the self GMR of the conductor increases, the inductance of the conductor
decreases.

**For a single conductor** of radius r,

![For a single conductor of radius r, GMR](https://studyelectrical.com/wp-content/
uploads/2019/01/For-a-single-conductor-of-radius-r-GMR.png)

**For two-conductor bundle** with distance d between the conductors,

![For two-conductor bundle with distance d between the conductors, GMR](https://
studyelectrical.com/wp-content/uploads/2019/01/For-two-conductor-bundle-with-distance-
d-between-the-conductors-GMR.png)

**For three-conductor bundle** with distance d between the conductors,

![For three conductor bundle with distance d between the conductors GMR](https://
studyelectrical.com/wp-content/uploads/2019/01/For-three-conductor-bundle-with-distance-
d-between-the-conductors-GMR.png)

**For four-conductor bundle** with distance d between the conductors,

![For four-conductor bundle with distance d between the conductors, GMR](https://
studyelectrical.com/wp-content/uploads/2019/01/For-four-conductor-bundle-with-distance-
d-between-the-conductors-GMR.png)

![GMR of Bundled Conductors](https://studyelectrical.com/wp-content/uploads/2019/
01/GMR-of-Bundled-Conductors.jpg)

GMR of Two, Three and Four Bundled Conductors

#### Increases Line Capacitance

On the similar argument for the decrease in inductance of line, we can say that 
the **capacitance of the line increases**, as the capacitance of line to neutral
is given by,

![capacitance of line to neutral](https://studyelectrical.com/wp-content/uploads/
2019/01/capacitance-of-line-to-neutral.png)

Now since we have L decreased and C increased the net **Surge Impedance (Z_(0))**
of the line also decreases automatically.

![Surge Impedance Equation](https://studyelectrical.com/wp-content/uploads/2019/
01/Surge-Impedance-Equation.png)

![surge impedance loading](https://studyelectrical.com/wp-content/uploads/2019/01/
surge-impedance-loading-300x38.png)

As the surge impedance gets reduced due to bundling the conductor, the **Surge Impedance
Loading (SIL)** of the conductor gets increased. 

Hence using bundled conductors is an effective way of **increasing SIL, i.e. Surge
Impedance Loading**. Finally, the increased surge impedance loading **improves the
transmission capacity of the system**.

### 2. Structural Impact

Large conductors experience less increase in percentage tension compared to smaller
diameter conductors when both are coated with the same radial thickness of the ice.

As the number of sub-conductors increases (with comparable aluminum content to a
single conductor), ice loads increase measurably.

As the electrical attraction to a bundle with more sub-conductors increases, so **
increases the ****structural loads**.

If a small conductor has a greater difficulty supporting a large ice load than a
large conductor, there is a [sag](https://studyelectrical.com/2016/01/sag-in-overhead-transmission-conductor-lines.html)
cost associated with more sub-conductors as well.

The cost-effectiveness of a bundle design and its component sub-conductors is a 
project-specific calculation.

### 3. Vibration in Bundled Conductors

Up-wind sub-conductors can create oscillation on down-wind sub-conductors by casting
a wind shadow that is understood to affect the leeward sub-conductors up to 20 diameters
away.

**[Aeolian vibration](https://studyelectrical.com/2019/07/aeolian-vibration-of-transmission-conductors.html)
is generally less pronounced on bundled conductors** due to the effect of spacers
and/or spacer dampers installed at relatively close intervals along the line.

**Increased tension** on bundled conductors appears to **decrease their tendency
to create induced oscillation and galloping.**

### 4. Short Circuit Events and Bundled Conductors

During short circuit events, an electromagnetic attraction between sub-conductors
causes them to slap together, exerting **compressive forces on spacers and spacer
dampers**, which induces bending stresses on the conductor at the interface of the
spacers.

Conductor tension can also increase measurably (for a few milliseconds) on shorter
spans. **Spacers and their attachment methods** must, therefore, consider these 
forces and be designed in such a way as to not damage the conductors or spacers.

It is recommended that **elastomeric-lined clamps** on all spacers and spacer dampers
be used. Armor rods can also provide additional protection. 

![spacer-damper](https://studyelectrical.com/wp-content/uploads/2019/01/spacer-damper.
jpg)

Spacer dampers

At the exact location of a short circuit, a conductor’s aluminum **strand temperature**
can jump substantially and nearly instantaneously. While it generally takes time
for a conductor’s **core’s temperature** to rise.

The nearly instantaneous increase in strand temperature can cause **localized bird
caging** in the aluminum strands of any conductor type.

![Bird Caging in ACCR Conductor](https://studyelectrical.com/wp-content/uploads/
2019/01/Bird-Caging-in-ACCR-Conductor-Transmission-line-.jpg)

Bird Caging in ACCR Conductor

While the **ACCC ****Conductor’s core** is much less thermally conductive than aluminum
or steel, as with any conductor, in extreme cases a repair sleeve may be required
to repair damaged strands. However, in most cases, **any bird caging** in the soft(
previously annealed) aluminum strands **will dissipate over a short period of time**
during thermal cycling.

While the aluminum strands may loosen slightly for some period of time due to such
an event, unlike non-annealed conductors, no loss of overall conductor strength 
or loss of core integrity will occur.

## Disadvantages of Bundled Conductors

The main disadvantages of bundled conductors are

 * Increased ice & wind loading.
 * Inspection more complicated, spacers required.
 * Increased clearance requirements at structures.
 * Increased charging kVA which may be a disadvantage at light loads.

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