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Multiphase Line

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Multiphase Line

Owned by Sylvain Ménard
Last updated: Nov 05, 2024
3 min read

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In this section:

Introduction

The multiphase line can represent either a 1, 2, or 3-phase line. The impedance parameters of these lines can be presented as positive and zero sequence data or with full matrices. Note that to model the 1 or 2-phase line, only the full matrix presentation is acceptable. Thus, there are four types of multiphase line components in ePHASORSIM native library.

  • Single Phase Line

  • Two Phase Line

  • Three Phase Line with Full Data

  • Three Phase Line with Sequential Data

Single Phase Line

Parameters

Symbol

Description

Unit

Symbol

Description

Unit

ID

Line name

a unique name

Status

Connect/Disconnect status

Initial value 1 (0 for disconnected)

Length

Length of the line (non-zero)

Any unit

From1

First sending bus

a unique name

To1

First receiving bus

r11 (Ohm/length_unit)

see (*)

ohm/length_unit

x11 (Ohm/length_unit)

see (*)

b11 (uS/length_unit)

see (**)

uS/length_unit

Two Phase Line

Parameters

Symbol

Description

Unit

Symbol

Description

Unit

ID

Line name

a unique name

Status

Connect/Disconnect status

Initial value 1 (0 for disconnected)

Length

Length of the line (non-zero)

Any unit

From1

First sending bus

a unique name

From2

Second sending bus

To1

First receiving bus

To2

Second receiving bus

r11 (Ohm/length_unit)

see (*)

ohm/length_unit

x11 (Ohm/length_unit)

see (*)

r21 (Ohm/length_unit)

see (*)

x21 (Ohm/length_unit)

see (*)

r22 (Ohm/length_unit)

see (*)

x22 (Ohm/length_unit)

see (*)

b11 (uS/length_unit)

see (**)

uS/length_unit



b21 (uS/length_unit)

see (**)

b22 (uS/length_unit)

see (**)

Three Phase Line With Full Data

Parameters

Symbol

Description

Unit

Symbol

Description

Unit

ID

Line name

a unique name

Status

Connect/Disconnect status

Initial value 1 (0 for disconnected)

Length

Length of the line (non-zero)

Any unit

From1

First sending bus

a unique name

From2

Second sending bus

From3

Third sending bus

To1

First receiving bus

To2

Second receiving bus

To3

Third receiving bus

r11 (Ohm/length_unit)

see (*)

ohm/length_unit

x11 (Ohm/length_unit)

see (*)

r21 (Ohm/length_unit)

see (*)

x21 (Ohm/length_unit)

see (*)

r22 (Ohm/length_unit)

see (*)

x22 (Ohm/length_unit)

see (*)

r31 (Ohm/length_unit)

see (*)

x31 (Ohm/length_unit)

see (*)

r32 (Ohm/length_unit)

see (*)

x32 (Ohm/length_unit)

see (*)

r33 (Ohm/length_unit)

see (*)

x33 (Ohm/length_unit)

see (*)

b11 (uS/length_unit)

see (**)

uS/length_unit



b21 (uS/length_unit)

see (**)

b22 (uS/length_unit)

see (**)

b31 (uS/length_unit)

see (**)

b32 (uS/length_unit)

see (**)

b33 (uS/length_unit)

see (**)

Three Phase Line With Sequential Data

Parameters

Symbol

Description

Unit

Symbol

Description

Unit

ID

Line name

a unique name

Status

Connect/Disconnect status

Initial value 1 (0 for disconnected)

Length

Length of the line (non-zero)

Any unit

From1

First sending bus

a unique name

From2

Second sending bus

From3

Third sending bus

To1

First receiving bus

To2

Second receiving bus

To3

Third receiving bus

R0 (Ohm/length_unit)

Zero-sequence resistance, see (x)

ohm/length_unit

X0 (Ohm/length_unit)

Zero-sequence reactance, see (x)

R1 (Ohm/length_unit)

Positive-sequence resistance, see (x)

X1 (Ohm/length_unit)

Positive-sequence reactance, see (x)

B0 (uS/length_unit)

Zero-sequence capacitive charge, see (x)

uS/length_unit

B1 (uS/length_unit)

Positive-sequence capacitive charge, see (x)

uS/length_unit

(x) If the impedance format is chosen to be sequence data, then Z0 and Z1 must be non-zero.

(*) Configuration of Z matrix (R + j X)

(**) Configuration of B matrix

Available I/O Pins

No

Pin Description

Pin Type

Value/Unit

Instruction

No

Pin Description

Pin Type

Value/Unit

Instruction

1

Set/Get service status

I/O

1: In-service

0: Out-of-service

lineID/status

2

Get sending end current magnitude of wire j

O

A (RMS)

lineID/ImagFromj

where j is 1, 2 or 3

3

Get receiving end current magnitude of wire j

O

A (RMS)

lineID/ImagToj

where j is 1, 2 or 3

4

Get sending end current angle of wire j

O

Degree

lineID/IangFromj

where j is 1, 2 or 3

5

Get receiving end current angle of wire j

O

Degree

lineID/IangToj

where j is 1, 2 or 3

6

Get sending end active and reactive power of wire j

O

kW

kVAr

lineID/PFromj

lineID/QFromj

where j is 1, 2 or 3

7

Get receiving end active and reactive power of wire j

O

kW

kVAr

lineID/PToj

lineID/QToj

where j is 1, 2 or 3

8

Get active and reactive power loss of wire j

O

kW

kVAr

lineID/PLj

lineID/QLj

where j is 1, 2 or 3

Example

See the Line page in phasor08_IEEE13.xlsx file in ePHASORSIM example phasor08.

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