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Description

The PI line model is mainly used for short transmission lines. The equivalent circuit is shown below. It is assumed that the capacitance on both sides are identical. The RL branches are also coupled.

This model can be used to simulate an internal fault. However, the number of operations allowed in this model is four (4) per fault element, instead of ten (10) in normal cases.


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Mask and Parameters

General Parameters

Name

Description

Unit

Variable = {Possible Values}

Description

Use this field to add information about the component


Description = {'string'}

EMTP (.pun) file for line parameters calculation

The location (path) of the EMTP file (pun file) containing the line parameters. However, The EMTP “.pun” format is not allowed with this model


File = {'path.name'}

Line 1

Fault distance from (+) side

km

fault_loc = {0, 1e64}

Type

The line data can be taken using Matrix or Sequence parameters  


Matrix/Sequence = { 0, 1}

Matrix {0}

Untransposed line. The data is filled in the matrices

Sequence {1}

Transposed line. The data is filled in the sequences

Line Length

The length of the line

km

length = {0, 1e64}

Base power (perPhase)

Base value for PU conversion

MVA per phase

pBase = { [1, 1e64] }

Base voltage (rmsLN)

Base value for PU conversion

kV rms LN

vBase = { [1, 1e64] }

Base frequency

Base value for PU conversion

Hz

fBase = { [1, 1e64] }

Fault resistance

Fault resistance value per phase

Ω

RDef = {0, 1e64}

Ropen

Open resistance value per phase

Ω

ROpen = {0, 1e64}

Rclose

Closed resistance value per phase

Ω

RClose = {0, 1e64}

Chopping current

Current threshold for the opening permission operation

A

Imargin = {0, 1e64}

Matrix Parameters

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Name

Description

Unit

Variable = {Possible Values}

Resistance - R

Resistance matrix

Ω/km

R = {'-1e64, 1e64'}

Inductance - L

Inductance matrix

H/km

L = {'-1e64, 1e64'}

Capacitance - C

Capacitance matrix

F/km

= {'-1e64, 1e64'}

Sequence Parameters

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Name

Description

Unit

Variable = {Possible Values}

R

Resistance value for Zero and Positive sequences

Ω/km

Rseq = {'-1e64, 1e64'}

L

Inductance value for Zero and Positive sequences

H/km

Lseq = {'-1e64, 1e64'}

C

Capacitance value for Zero and Positive sequences

F/km

Cseq = {'-1e64, 1e64'}

Timing Parameters

Name

Description

Unit

Variable = {Possible Values}

Time units

Units applied to the programmed state transition operations







Ut = {s, ms, c}

Second {s}

All operations Tn are in seconds

Millisecond {ms}

All operations Tn are in milliseconds

Cycle {c}

All operations Tn are in electrical cycles (setting the frequency is mandatory)

Time programming

Master switch that determines whether the programmed operations will occur upon triggering an acquisition





EnaGen = {0, 1}

Disable {0}

Programmed operations are disabled

Enable {1}

Programmed operations are enabled

Steady-state condition

State of phase breakers in steady-state; “colored” if the breaker is open and “grey” if the breaker is closed


iniStateA = {0, 1}

iniStateB = {0, 1}

iniStateC = {0, 1}

iniStateG = {0, 1}

Frequency

Should be set using the parameter "Base frequency".

Hz

Freq = { [45, 70] }

Switching times

Line1

Enable/disable the state transition operation on the same line.




EnaT1 = {0, 1}

EnaT2 = {0, 1}

...

Disable {0}

Disable the state transition operation on the same line

Enable {1}

Enable the state transition operation on the same line. If the line is enabled but no information is filled, the state transition operation is ignored.

Switching times

Type(f,i,u,ug)



Relative time (with respect to POW synchronization) when the command is sent to the breaker (or switch) to change state. There are four ways to input this time.

Important notes:

  • For changes of state to occur, programmed operation times must always respect Tn>Tn-1.

  • If a parameter field is blank or contains “-”, no switching will occur for this line.

  • There is no alias for the type of timing in the API. The timing type and values are entered as a single string.

  • If using referenced operations, the calculated time is applied after it received the command from the other component. See the Referenced Operations section for more information.







Refer to "Time units" parameter







T1 = {'string'}

T2 = {'string'}

...

Fixed

{f: fixed time}

At each acquisition, Tn command is sent at the same time for all phases selected in "Phase operated".

Incremental

{i: initial time/final time/time increment}

For the first acquisition, Tn command is sent at the set initial time for all phases selected in "Phase operated". Then at each acquisition, Tn command is sent a time increment later than the previous acquisition. Once the final time is reached, the next acquisition will be done using the initial time again.

Uniform

{u: minimal time/maximal time}

At each acquisition, Tn command is sent at a random time. The probability is uniform over the specified range. All phases selected in "Phase operated" DO NOT receive the command at the same time, it is also random.

Uniform gaussian

{ug: minimal time/maximal time/ dispersion}

At each acquisition, Tn command is sent at a random time. The probability follows a gaussian distribution over the specified range. All phases selected in "Phase operated" DO NOT receive the command at the same time, it is also random.

Referenced operations

Use to refer the triggering of Tn to another breaker programmed state transition. See the Referenced Operations section for more information.

NB: all columns must be filled for the referenced operation to work.



Ref operation

Name (or path) of the breaker to which the timing is referenced


Eref1 = {'path.name'}

Eref2 = {'path.name'}

...

Ref time

Time Tn ID of the referenced breaker's step to which the timing is referenced


Tref1 = {Tn}

Tref2 = {Tn}

...

Phase/Command

Activate (Phase {1}) or deactivate (Command {0}) the reference dependency


T1RPh = {0, 1}

T2RPh = {0, 1}

...

Phase operated

The list of all phases that will change state when the timing condition is reached. So if after Tn-1 the A and C phases are OFF and Tn triggers B and C, after Tn phases A and B will be OFF, and C will be ON.


T1Pa, T1Pb, T1Pc = {0, 1}

T2Pa, T2,Pb, T2Pc = {0, 1}

...

ON {1}

"Colored" when a state transition shall occur

OFF {0}

"Grayed out" when no state transition shall occur

Line Generator

Info

For more information see see Line Generator

Ports, Inputs, Outputs and Signals Available for Monitoring

Ports

This component supports a 3-phase transmission line 

Name

Description

net_1(a,b,c)

Network connection of phases (a,b,c) of the left (+) side

net_2(a,b,c)

Network connection of phases (a,b,c) of the right side

Inputs

None

Outputs

None

Sensors

At acquisition, the signals available by the sensors are:

Name

Description

Unit

V(a,b,c)_FLT

Voltage on fault bus phases (a,b,c)

V

I(a,b,c,n)_FLT

Fault current (a,b,c,n)

A

CMD(a,b,c,n)_FLT

Command for states of phase and ground breakers


Calculation of Electrical Parameters

The EMTP “.pun” format is not allowed with this model. However, the electrical parameters of PI lines can be calculated by using the Line Generator Tab.

Types of fault

The fault breakers are shown in the following figure. The types of faults according to the state of the breakers are listed in the table.


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Note: For a phase to ground fault, we strongly recommend using the ground in steady state instead of programming a time of operation in transient state.



Types of fault according to state of breakers

State of Breaker

B

C

Ground

No fault

0

0

0

0

Fault between phase C and Ground

0

0

1

1

Fault between phase B and Ground

0

1

0

1

Fault between phases B and C

0

1

1

0

Fault between phases B, C and Ground

0

1

1

1

Fault between phases A and Ground

1

0

0

1

Fault between phases A and C

1

0

1

0

Fault between phases A, C and Ground

1

0

1

1

Fault between phases A and B

1

1

0

0

Fault between phases A, B and Ground

1

1

0

1

Fault between phases A, B and C

1

1

1

0

Fault between phases A, B, C and Ground

1

1

1

1

In the case of a 3-phase line with fault, two configurations are available to the user:

  • 1 line section - no fault

  • 2 line sections - fault on the line

The user must specify the fault distance on the line. This distance must be calculated from side “1” of the line. For example, if the user wants to simulate a fault on the line at a distance of 125 km he must enter the value in the fault distance fields. If the user does not want to use the fault element, he must set the value of the fault distance to 0. It should be noticed Note that the fault distance must be lower than the line length.