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Casa / Tutorial / Cable Pulling Calculations

Calcoli per la trazione dei cavi

Cable Pro Web Software V3.2

Indice dei contenuti

Introduzione

This tutorial explains how to use the Cable Pulling module in Cable Pro Web software.

Prior to the installation of cables, it is of upmost importance to perform tension and sidewall pressures calculations. The tensions and sidewall pressures should not exceed the manufacturer’s specified limits to avoid damage to the cables.

The tensions and sidewall pressures are affected by the following main factors:

 – Sizes of cables and the quantity.
 – Route length and bends.
 – Method of pulling and formation, and the direction of the pull.
 – Friction between cables and surfaces.

The theory for cable pulling calculations are explained in the Help Manual and the article explaining how to calculate cable pulling tensions.

Example – Pulling route

The cable pulling route is shown below:
Figure 1 – Pulling (Installation) Route
Figure 1 – Pulling (Installation) Route

Three cables will be pulled in trefoil formation inside a 100 mm conduit along the installation route depicted in Figure 1.  The route consists of 3 straight sections (1 horizontal, 1 downward slope and 1 upward slope) with 2 bends. There is a powered reel at one end (so reel back tension is 0 N) and a winch at the other.

For this installation the following calculations and checks are needed:

  1. Tension and sidewall pressure limits are not exceeded.
  2. Cable clearances and jamming probability in the conduit.
  3. The above for both forward and reverse pull directions.
The tension required to pull cables can change significantly depending on the pulling direction. In general lower pulling tensions are encountered when feeding the cables into the end of a duct run with the largest number of bends or when cables are fed into the uphill side of a cable run.

Next, we will explore the main user interface and collect the input data of the software.

Software inputs - Overview

There are five main sections to the software’s user interface requiring data from the user:

Sections– A cable route is divided into sections, and each is added to the table.

Cables – Enter the quantity of cables and physical properties. Refer to the cable manufacturers data. Multiple cable types are possible.

Formation – Match the arrangement in which the cable(s) are pulled.

Installation – Specify the conduit/duct dimensions, direction of pull, reel back tension and reduction factor.

Friction – Enter the values for friction along the route including for the bends which result in high sidewall pressures.

Figure 2 – Cable Pulling Software – Main User Interface
Figure 2 – Cable Pulling Software – Main User Interface

Sections data

The cable pulling route shown in Figure 1 has been divided into sections.

The data to enter for the sections is shown below in Table 1.

Table 1 – Sections data

No. Type Input values
1 Reel Back Tension 0 N
2 Straight Length = 90 m
3 Convex Downward Bend Angle = 45°, Bend radius = 2 m
4 Slope Down Length = 110 m, Angle = 45°
5 Concave Upward Bend Angle = 50°, Bend radius = 2 m
6 Slope Up Length = 200 m, Angle = 5°

Click on the “Add Section” button to include and configure each section of the cable route.

Figure 3 – add Edit Section window – Straight section input
Figure 3 – Add/Edit Section window – Straight section input

Cables data

The cables (Figure 4 below) are 11 kV single core with 120 mm2 copper conductors which will be pulled in trefoil formation inside the duct.

Figure 4 – Cable’s diagram
Figure 4 – Cable’s diagram

The relevant data has been taken from the cable manufacturer’s catalogue.

Table 2 – Cable’s data

Parametro Valore Source
Cable diameter 29.4 mm Manufacturer’s catalogue (see next page)
Weight per cable 2.25 kg/m
Maximum tension per cable 8.4 kN
Maximum sidewall pressure 1450 kg/m 14220 N/m
Figure 5 – Cable data extracted from manufacturer catalogue1 - Cable Pulling Calculations
Figure 5 – Cable data extracted from manufacturer catalogue2
Figure 5 – Cable data extracted from manufacturer catalogue

The overall maximum permissible pulling tension on the cables is given as follows:

 

Tmax = Rf * N * T allowable

 

Where Rf  is the Tension Reduction Factor in percentage, N  are the number of cables (3) and T allowable is the maximum allowed tension per cable (8,400 N). Tension reduction factor is applied for multiple cables when considering that the forces are not evenly distributed and in this example is assumed to be 80%.

The overall maximum permissible pulling tension becomes 3 x 8,400 x 80% = 20,160 N

Formation and Installation data

The formation input affects the weight correction factor which is used internally by the software for calculations so what is selected must match the way the cables will be pulled. In this example, the three cables will be bunched as a Trefoil bundle and hauled at once.

The three cables will be hauled inside a conduit of 100 mm diameter.

Friction data

The coefficient of friction has a large impact on the pulling tension calculations.  Note that static (stationary) friction is higher than dynamic friction therefore it is not recommended to stop during a cable haul.

Typically, the coefficient of friction will vary between 0.1 and 1 where lubrication is used and can exceed 1 for un-lubricated pulls.  The coefficient of friction measured in bends with high sidewall pressures is approximately half the value of straight runs.

The friction data has been taken from the Standard “IEEE Guide for the Design and Installation of Cable Systems in Substations” (IEEE 525-2016).

Table 3 – Friction data

Parametro Valore Source
Dry cable or conduit 0.5 IEEE Std. 525-2016
Well-lubricated cable and conduit 0.15 - 0.35

For this example, the Normalcoefficient of friction is taken as 0.5.

It has already been explained the coefficient of friction reduces typically by half from normal during a bend where the sidewall pressure exceeds a pre-defined limit.  This fact is being included in this example therefore friction for High sidewall pressures is 0.3.

Risultati

The calculated tension and sidewall pressures are displayed in the Sections table and the Results are checked automatically by the software.

Figure 6 – Tension and Sidewall Pressure results – Forward direction pull
Figure 6 – Tension and Sidewall Pressure results – Forward direction pull
Figure 7 – Tension and Sidewall Pressure results – Reverse direction pull
Figure 7 – Tension and Sidewall Pressure results – Reverse direction pull

The maximum tension for a forward direction pull is 10,733 N and maximum sidewall pressure is 1123 N/m, while for Reverse Pull Analysis, maximum tension is 23,502 N and maximum sidewall pressure is 5157 N/m.  Note that the Slope Down section in the forward direction significantly reduces the tension due to the gravity effect.

There are no warnings shown for forward pull direction, however, for the reverse pull direction, the maximum tension has exceeded the specified limit andis shown as a warning. By pressing the Checks button, the Calculation Checks window is displayed.

Figure 8 – Calculation Checks window – Forward direction pull
Figure 8 – Calculation Checks window – Forward direction pull

Sintesi

In summary, the maximum tensions and sidewall pressures on the cables are lower than the maximum limits for forward pull direction.

The cables clearance inside the conduit is deemed to be adequate and cable jamming probability calculated as not likely to occur.

The design is acceptable for the forward pull direction, and there should not be damage caused to the cables during installation.

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