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Positive Sequence Transformer

Owned by Sylvain Ménard
Last updated: Mar 11, 2023
2 min read

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Positive Sequence 2W Transformer

This model is based on a two-winding transformer with on-load tap-changer and phase-shift. The definitions of parameters are listed in the table below.

Here is the formulation of the admittance matrix for this model:

Where:

Positive Sequence 2W Transformer Parameters

Symbol

Description

Unit

ID

Transformer name

a unique name

StatusConnect/Disconnect statusInitial value 1 (0 for disconnected)

From bus

Primary bus

a unique name

To bus

Secondary bus

a unique name

R (pu)

Resistance between primary bus and secondary bus

network p.u.

Xl (pu)

Reactance between primary bus and secondary bus

network p.u.

Gmag (pu)

Magnetization con­ductance

network p.u.

Bmag (pu)

Magnetization Sus­ceptance

network p.u.

Ratio W1 (pu)

Primary off-nominal ratio

p.u.

Ratio W2 (pu)

Secondary off-nom­inal ratio

p.u.

Phase Shift (deg)

Between primary and secondary bus voltage

Degree

Positive Sequence 3W Transformer

This model is a three-winding transformer with tap-changer and phase shift.

Positive Sequence 3W Transformer Parameters

Symbol

Description

Unit

ID

Transformer name

a unique name

StatusConnect/Disconnect statusInitial value 1 (0 for disconnected)

Bus1

Primary bus

a unique name

Bus2

Secondary bus

a unique name

Bus3

Tertiary bus

a unique name

R_12 (pu)

Resistance between primary bus and sec­ondary bus

network p.u.


Xl_12 (pu)

Reactance between primary bus and sec­ondary bus

R_23 (pu)

Resistance between secondary bus and tertiary bus

Xl_23 (pu)

Resistance between secondary bus and tertiary bus

R_31 (pu)

Resistance between primary bus and ter­tiary bus

Xl_31 (pu)

Reactance between primary bus and ter­tiary bus

Gmag (pu)

Magnetization con­ductance

Bmag (pu)

Magnetization sus­ceptance

Ratio W1 (pu)

Primary off-nominal ratio

p.u.

Ratio W2 (pu)

Secondary off-nomi­nal ratio

p.u.

Ratio W3 (pu)

Tertiary off-nominal ratio

p.u.

Phase Shift W1 (deg)

Phase shift of wind­ing 1

Degree

Phase Shift W2 (deg)

Phase shift of wind­ing 2

Degree

Phase Shift W3 (deg)

Phase shift of wind­ing 3

Degree


Notes: 

All the impedance and admittance values are based on network MVA given in the General page and primary winding voltage base.

Phase shift on each winding is between +180 degrees to -180 degrees. It is positive if the primary winding voltage leads the secondary winding. The default value is 0.0.

The default values of Ratio W1, W2 and W3 are 1.0.

The direction of current measurement for all sides (Iang0, Iang1, and Iang2) is positive towards the transformer.


Available I/O Pins 

No

Pin Description

Pin Type

Value/Unit

Instruction

1

Set/Get tap ratio of winding j

I/O

p.u.

transformerID/rWj

where j is 1, 2 or 3

2

Get current magnitude of winding j
(0: primary, 1: secondary, and 2: tertiary winding)

O

p.u. (RMS, network base)

transformerID/Imagj

where j is 0, 1 or 2

3

Get current angle of winding j
(0: primary, 1: secondary, and 2: tertiary winding)

O

Degree

transformerID/Iangj

where j is 0, 1 or 2

Example

See the Transformer page in phasor01_IEEE39.xls file in demo PHASOR-01.

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