Comparison of the electric field generated by systems of indefinite rectilinear conductors
Purpose
This tool allows you to compare the levels of electric field generated by bundles of undefined rectilinear conductors (or systems), parallel to each other and to the ground.
For details on setting up the calculation, please refer to the tool Calculation of the electric field generated by systems of indefinite rectilinear conductors.
General setting
The application allows you to consider up to 10 bundles of conductors. Unlike the application Calculation of the electric field generated by multiple systems of indefinite rectilinear conductors, in which the calculation considers the overall contribution of all the conductors, in this application it is performed separately for each system. In this way, it is possible to compare the maximum level and the distribution in space of the electric field generated by each of them.
Each system is described through the starting data entered in a specific numbered sub-tab, located in the Data entry tab. These data consist of the position of the conductors in space (specified by locating the point of intersection of the conductor with the calculation plane) and the values of the intensity and phase of the current on them.
The processing produces, in the Results tab, a numbered sub-tab for each system of conductors; this reports the corresponding peak value and the distance from the origin of the point where this is reached, and possibly a table containing the distances from the origin at which a series of significant values are obtained (1, 2 and 5 V/m).
A graph is also displayed, which shows the trend of the intensity of the electric field along a segment positioned on the calculation plane and parallel to the ground (see the following figure, click to enlarge).
Limitations
The basic condition of the model, i.e. the validity of a two-dimensional representation of the problem, cannot be considered satisfied in close proximity to supports or intersections between two or more lines and, in general, in electrical stations.
Defining structures
The tool allows you to define up to 10 conductor systems, i.e. overhead power lines, each consisting of 1 to 30 straight, horizontal, parallel to each other and to the ground and undefined conductors.
The voltage frequency must be the same in all conductors. The user must indicate whether this is Three-phase AC, Single-phase AC or Continuous. In any case, the voltage value associated with each conductor must be referred to earth; if the nominal voltage between 2 phases is known, it must be divided by sqrt(3), an operation that is performed automatically by selecting Three-phase alternating and using a predefined support type present in the archive (see below).
As an example, the voltages referred to the ground for typical values are:
- 76.210 kV for voltage between conductors equal to 132 kV
- 86.603 kV for voltage between conductors equal to 150 kV
- 127.017 kV for voltage between conductors equal to 220 kV
- 219.393 kV for voltage between conductors equal to 380 kV
If the user selects Single-phase alternating voltage or Continue, using the predefined pylon types the field relating to the voltage value must be populated manually.
To place the conductors in the space, the relative structure must be positioned absolutely. To this end, it is necessary to specify:
- the altitude above the ground of the lowest conductor;
- the distance (measured along the ground, which may be inclined) of the foot of the perpendicular conducted for the origin of the internal reference system of the structure, from the origin of the absolute reference system (placed at ground level).
The following images show the absolute reference systems (in black) and the structures (in blue) in the cases of flat and inclined ground (click to enlarge):
Definition of conductors
Each conductor system is characterized by
a structure that documents its geometric characteristics,
with reference to the calculation plane (the vertical plane, orthogonal
to the direction of the conductors, on which the points are located where
the electric field will be calculated). We will call traces
the points where the
conductors intersect the calculation plane. The structure must be
designed with its own internal orthogonal Cartesian reference system
having:
- origin at a conventional point of the calculation plane, located vertically at the level of the track of the lowest conductor and horizontally along the axis of the support;
- horizontal X-axis directed towards the right;
- vertical Y-axis directed upwards.
The following images show the internal reference system (in blue) for an asymmetrical pylon with three conductors and a symmetrical one with six (click to enlarge):
In addition to the altitude above the ground of the lowest conductor and the horizontal positioning, in the case of multiple subconductors it is necessary to indicate whether the geometric parameter reported for each conductor indicates the radius of the circumference around which the subconductors are arranged, or the distance between two of them.
For three voltage values (132 kV, 220 kV and 380 kV) the user can optionally select one of two predefined structures (single and double triplet respectively), chosen as the most impactful in their category from the point of view of the dispersed magnetic field. Alternatively, you can define your own custom structure, specifying the number of conductors and, for each of them:
- the coordinates of the suspension points, expressed in the internal reference system of the structure;
- the type of conductor (phase or guard wire);
- the voltage referred to earth;
- the phase;
- the radius;
- the number of subconductors;
- the radius of the circumference containing the subconductors, or the distance between two of them.
The data relating to a structure can be replicated in another, specifying the progressive number in the wording Replicate these parameters to structure n. ... and pressing the button with the green arrow.
Definition of the calculation points and the field value
Finally, the parameters needed to perform the
calculation of the electric field along a segment lying on the
calculation plane and parallel to the ground (hereinafter calculation
segment
) must be specified:
- slope of the ground
- initial distance (distance, measured along the ground, of the foot of the perpendicular drawn for the initial point of the calculation segment, from the origin - necessarily placed at ground level - of the absolute reference system)
- number of points into which to divide the calculation segment
- advancement step along the calculation segment
- constant height of the calculation segment on the ground
The results are shown in a graph; some summary data are summarized in tabular form.
Keywords: Comparison, Electric field, Calculation, Indefinite rectilinear conductors