DC Cable

High-fidelity frequency-dependent DC cable

Since R2025a

• 

Libraries:
Simscape / Electrical / Passive / Lines

Description

The DC Cable block models a DC power cable that simulates the transient response with high precision in high-voltage direct-current (HVDC) transmission applications.

This figure shows the cross section of a cable. There are six concentric layers: core conductor, insulation, sheath, inner jacket, armor, and serving.

Equations

To obtain an accurate transient response during simulation, this block models a DC cable using a frequency-dependent modeling approach. For more information about the frequency-dependent modeling of lines, see the Equations section of the Frequency-Dependent Overhead Line (Three-Phase) block.

To use the frequency-dependent modeling approach, the block must first calculate the frequency-dependent cable parameters, such as the series impedance and shunt admittance matrices by using Dommel electromagnetic transients program (EMTP) equations. For more information about these equations, see [1].

Examples

New

Model High-Voltage Direct-Current Transmission Using Modular Multilevel Converters

Models a high-voltage, direct-current (HVDC) transmission system using modular multilevel converters (MMC).

• Since R2025a
• Open Model

Ports

Conserving

c+ — Core conductor positive terminal

electrical

Electrical conserving port associated with the positive terminal of the cable core conductor.

Dependencies

To enable this port, set the Configuration parameter to Single cable.

c- — Core conductor negative terminal

electrical

Electrical conserving port associated with the negative terminal of the cable core conductor.

Dependencies

To enable this port, set the Configuration parameter to Single cable.

s+ — Sheath positive terminal

electrical

Electrical conserving port associated with the positive terminal of the cable sheath.

Dependencies

To enable this port, set the Configuration parameter to Single cable.

s- — Sheath negative terminal

electrical

Electrical conserving port associated with the negative terminal of the cable sheath.

Dependencies

To enable this port, set the Configuration parameter to Single cable.

a+ — Armor positive terminal

electrical

Electrical conserving port associated with the positive terminal of the cable armor.

Dependencies

To enable this port, set the Configuration parameter to Single cable.

a- — Armor negative terminal

electrical

Electrical conserving port associated with the negative terminal of the cable sheath.

Dependencies

To enable this port, set the Configuration parameter to Single cable.

c1+ — Positive terminal of first cable core conductor

electrical

Electrical conserving port associated with the positive terminal of the core conductor of the first cable.

Dependencies

To enable this port, set the Configuration parameter to Double cable.

c1- — Negative terminal of first cable core conductor

electrical

Electrical conserving port associated with the negative terminal of the core conductor of the first cable.

Dependencies

To enable this port, set the Configuration parameter to Double cable.

s1+ — Positive terminal of first cable sheath

electrical

Electrical conserving port associated with the positive terminal of the sheath of the first cable.

Dependencies

To enable this port, set the Configuration parameter to Double cable.

s1- — Negative terminal of first cable sheath

electrical

Electrical conserving port associated with the negative terminal of the sheath of the first cable.

Dependencies

To enable this port, set the Configuration parameter to Double cable.

a1+ — Positive terminal of first cable armor

electrical

Electrical conserving port associated with the positive terminal of the armor of the first cable.

Dependencies

To enable this port, set the Configuration parameter to Double cable.

a1- — Negative terminal of first cable armor

electrical

Electrical conserving port associated with the negative terminal of the armor of the first cable.

Dependencies

To enable this port, set the Configuration parameter to Double cable.

c2+ — Positive terminal of second cable core conductor

electrical

Electrical conserving port associated with the positive terminal of the core conductor of the second cable.

Dependencies

To enable this port, set the Configuration parameter to Double cable.

c2- — Negative terminal of second cable core conductor

electrical

Electrical conserving port associated with the negative terminal of the core conductor of the second cable.

Dependencies

To enable this port, set the Configuration parameter to Double cable.

s2+ — Positive terminal of second cable sheath

electrical

Electrical conserving port associated with the positive terminal of the sheath of the second cable.

Dependencies

To enable this port, set the Configuration parameter to Double cable.

s2- — Negative terminal of second cable sheath

electrical

Electrical conserving port associated with the negative terminal of the sheath of the second cable.

Dependencies

To enable this port, set the Configuration parameter to Double cable.

a2+ — Positive terminal of second cable armor

electrical

Electrical conserving port associated with the positive terminal of the armor of the second cable.

Dependencies

To enable this port, set the Configuration parameter to Double cable.

a2- — Negative terminal of second cable armor

electrical

Electrical conserving port associated with the negative terminal of the armor of the second cable.

Dependencies

To enable this port, set the Configuration parameter to Double cable.

Parameters

To edit block parameters interactively, use the Property Inspector. From the Simulink^® Toolstrip, on the Simulation tab, in the Prepare gallery, select Property Inspector.

Main

Configuration — Option to model single or double cables

Single cable (default) | Double cable

Option to model the block as a single DC cable or double DC cables.

Environmental resistivity — Resistance of earth return

100 Ohm*m (default) | positive scalar

Resistance of the earth return.

Cable length — Length of cable

100 km (default) | scalar greater than 1 m

Length of the cable.

Electrical Parameters

Core conductor resistivity — Resistivity of core conductor

2.1e-8 Ohm*m (default) | positive scalar

Resistivity of the core conductor.

Core conductor relative permeability — Relative permeability of core conductor

1 (default) | positive scalar

Relative permeability of the core conductor.

Insulation relative permeability — Relative permeability of insulation

1 (default) | positive scalar

Relative permeability of the insulation.

Insulation relative permittivity — Relative permittivity of insulation

2.5 (default) | positive scalar

Relative permittivity of the insulation.

Sheath resistivity — Resistivity of sheath

2.2e-7 Ohm*m (default) | positive scalar

Resistivity of the sheath.

Sheath relative permeability — Relative permeability of sheath

1 (default) | positive scalar

Relative permeability of the sheath.

Inner jacket relative permeability — Relative permeability of inner jacket

1 (default) | positive scalar

Relative permeability of the inner jacket.

Inner jacket relative permittivity — Relative permittivity of inner jacket

2.4 (default) | positive scalar

Relative permittivity of the inner jacket.

Armor resistivity — Resistivity of armor

1.8e-7 Ohm*m (default) | positive scalar

Resistivity of the armor.

Armor relative permeability — Relative permeability of armor

10 (default) | positive scalar

Relative permeability of the armor.

Serving relative permeability — Relative permeability of serving

1 (default) | positive scalar

Relative permeability of the serving.

Serving relative permittivity — Relative permittivity of serving

2.4 (default) | positive scalar

Relative permittivity of the serving.

Geometric Dimensions

Core conductor radial thickness — Radial thickness of core conductor

25 mm (default) | positive scalar

Radial thickness of the core conductor.

Insulation radial thickness — Radial thickness of insulation

20 mm (default) | positive scalar

Radial thickness of the insulation.

Sheath radial thickness — Radial thickness of sheath

3 mm (default) | positive scalar

Radial thickness of the sheath.

Inner jacket radial thickness — Radial thickness of inner jacket

5 mm (default) | positive scalar

Radial thickness of the inner jacket.

Armor radial thickness — Radial thickness of armor

6 mm (default) | positive scalar

Radial thickness of the armor.

Serving radial thickness — Radial thickness of serving

5 mm (default) | positive scalar

Radial thickness of the serving

Vertical depth of the cable — Vertical position of cable

1 m (default) | [1, 1] | positive scalar or vector of two positive elements

Vertical position, y, of the cable, as shown in this figure:

If you set the Configuration parameter to Double cable, this parameter value is a vector of two positive elements, y1 and y2, and the default value is [1, 1], as shown in this figure:

Horizontal position of the cable — Horizontal position of cable

[0, 1] m (default) | vector of two elements

Horizontal position of the cable.

This figure shows the horizontal positions for a double cables configuration:

You specify these values with respect to the origin point. As such, these values can be positive or negative.

Dependencies

To enable this parameter, set Configuration to Double cable.

References

[1] Dommel, Hermann W. Electromagnetic Transients Program Reference Manual: (EMTP) Theory Book. Bonneville Power Administration, 1986.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced in R2025a