# power_cableparam

Compute RLC parameters of radial copper cables with single screen, based on conductor and insulator characteristics

## Syntax

`power_cableparam`

[r,l,c,z] = power_cableparam(CableData)

## Description

`power_cableparam`

opens the **Cable Parameters Tool** with the
default cable parameter values provided by Simscape™
Electrical™ Specialized Power Systems software.

`[r,l,c,z] = power_cableparam(CableData)`

computes the impedances and
capacitances of a structure, CableData, that represents a set of cables that have a screen
conductor.

## Input Arguments

`CableData`

— Conductor and insulator characteristics

structure

Conductor and insulator characteristics for a set of cables that have a screen conductor, specified as a structure with the following fields:

Field | Description |
---|---|

| the number of cables |

f | the frequency in hertz to be used to evaluate RLC parameters |

rh0_e | the ground resistivity (in ohm.meters) |

n_ba | the number of strands contained in one phase conductor |

d_ba | diameter of one strand (in m) |

rho_ba | DC resistivity of conductor in ohms*m. |

mu_r_ba | relative permeability of the conductor material. |

D_a | phase conductor outside diameter (in m) |

rho_x | DC resistivity of the screen conductor in ohms*m. |

S_x | Total section of screen conductor (in m^2) |

d_x | screen conductor internal diameter (in m) |

D_x | screen conductor external diameter (in m) |

GMD_phi | Geometric Mean Distance between the cables. |

d_iax | phase-screen insulator internal diameter (in m) |

D_iax | phase-screen insulator external diameter (in m) |

epsilon_iax | relative permittivity of the phase-screen insulator material. |

d_ixe | outer screen insulator internal diameter (in m) |

D_ixe | outer screen insulator external diameter (in m) |

epsilon_ixe | relative permittivity of the outer screen insulator material. |

## Output Arguments

`[r l c z]`

— Parameters of radial copper cables

structure

Parameters of the radial copper cables, returned as a structure with the following fields:

Variable, Field | Description |
---|---|

| Self resistance of phase conductor, in Ohm/Km |

r.xx | Self resistance of screen conductor, in Ohm/Km |

r.ab | Mutual resistance between the phase conductors, in Ohm/Km |

r.ax | Mutual resistance between phase and screen conductors, in Ohm/Km |

l.aa | Self inductance of phase conductor, in Henries/Km |

l.xx | Self inductance of screen conductor, in Henries/Km |

l.ab | Mutual inductance between the phase conductors, in Henries/Km |

l.ax | Mutual inductance between phase and screen conductor, in Henries/Km |

c.ax | Capacitance between the phase conductor and its screen conductor, in Farad/Km |

c.xe | Capacitance between the screen conductor and the ground, in Farad/Km |

z.aa | Self impedance of phase conductor, in Ohm/Km |

z.xx | Self impedance of screen conductor, in Ohm/Km |

z.ab | Mutual impedance between phase conductors, in Ohm/Km |

z.ax | Mutual impedance between phase and corresponding screen conductors, in Ohm/Km |

### Building the RLC Matrices

These computed resistances, impedances, and capacitances need to be organized into
*2N*-by-*2N* matrices that can be directly used in the
block you selected to model your cable. See the *4 Cables with screen (PI
model)* block in the

example.*power_cable*

The RLC matrices are defined as follows (the example is given for a 3-cable configuration):

$$\begin{array}{cc}R=\left[\begin{array}{cccccc}{r}_{aa}& {r}_{ax}& {r}_{ab}& {r}_{ab}& {r}_{ab}& {r}_{ab}\\ {r}_{ax}& {r}_{xx}& {r}_{ab}& {r}_{ab}& {r}_{ab}& {r}_{ab}\\ {r}_{ab}& {r}_{ab}& {r}_{aa}& {r}_{ax}& {r}_{ab}& {r}_{ab}\\ {r}_{ab}& {r}_{ab}& {r}_{ax}& {r}_{xx}& {r}_{ab}& {r}_{ab}\\ {r}_{ab}& {r}_{ab}& {r}_{ab}& {r}_{ab}& {r}_{aa}& {r}_{ax}\\ {r}_{ab}& {r}_{ab}& {r}_{ab}& {r}_{ab}& {r}_{ax}& {r}_{xx}\end{array}\right]& L=\left[\begin{array}{cccccc}{l}_{aa}& {l}_{ax}& {l}_{ab}& {l}_{ab}& {l}_{ab}& {l}_{ab}\\ {l}_{ax}& {l}_{xx}& {l}_{ab}& {l}_{ab}& {l}_{ab}& {l}_{ab}\\ {l}_{ab}& {l}_{ab}& {l}_{aa}& {l}_{ax}& {l}_{ab}& {l}_{ab}\\ {l}_{ab}& {l}_{ab}& {l}_{ax}& {l}_{xx}& {l}_{ab}& {l}_{ab}\\ {l}_{ab}& {l}_{ab}& {l}_{ab}& {l}_{ab}& {l}_{aa}& {l}_{ax}\\ {l}_{ab}& {l}_{ab}& {l}_{ab}& {l}_{ab}& {l}_{ax}& {l}_{xx}\end{array}\right]\end{array}$$

$$C=\left[\begin{array}{cccccc}{c}_{ax}& -{c}_{ax}& 0& 0& 0& 0\\ -{c}_{ax}& {c}_{ax}+{c}_{xe}& 0& 0& 0& 0\\ 0& 0& {c}_{ax}& -{c}_{ax}& 0& 0\\ 0& 0& -{c}_{ax}& {c}_{ax}+{c}_{xe}& 0& 0\\ 0& 0& 0& 0& {c}_{ax}& -{c}_{ax}\\ 0& 0& 0& 0& -{c}_{ax}& {c}_{ax}+{c}_{xe}\end{array}\right]$$

## Examples

For an example using the `power_cableparam`

function, see the `power_cable`

model.

## See Also

## MATLAB Command

You clicked a link that corresponds to this MATLAB command:

Run the command by entering it in the MATLAB Command Window. Web browsers do not support MATLAB commands.

# Select a Web Site

Choose a web site to get translated content where available and see local events and offers. Based on your location, we recommend that you select: .

You can also select a web site from the following list:

## How to Get Best Site Performance

Select the China site (in Chinese or English) for best site performance. Other MathWorks country sites are not optimized for visits from your location.

### Americas

- América Latina (Español)
- Canada (English)
- United States (English)

### Europe

- Belgium (English)
- Denmark (English)
- Deutschland (Deutsch)
- España (Español)
- Finland (English)
- France (Français)
- Ireland (English)
- Italia (Italiano)
- Luxembourg (English)

- Netherlands (English)
- Norway (English)
- Österreich (Deutsch)
- Portugal (English)
- Sweden (English)
- Switzerland
- United Kingdom (English)