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 is identical. The RL branches are also coupled. The parameters for the 12-phase PI lines are the same as those for 3-phase PI lines, except that the dimension of the R, L and C matrices representing the impedance and admittance of the conductors is 12x12, instead of 3x3. The 12-phase PI model represents four 3-phase transmission lines in parallel.

In this model, there is a new parameter for sequences. The neutral coupling between the four line circuits (mutual impedance) is represented only in zero sequence.

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.

Table of Contents

Mask and Parameters

General Parameters

Name	Description				Unit	Variable = {Possible Values}

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 (Line 1)		km	fault_loc1 = {0, 1e64}
Line 2	Fault distance from (+) side (Line 2)		km	fault_loc2 = {0, 1e64}
Line 3	Fault distance from (+) side (Line 3)		km	fault_loc3 = {0, 1e64}
Line 4	Fault distance from (+) side (Line 4)		km	fault_loc4 = {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] }

Matrix Parameters

Name	Description				Unit	Variable = {Possible Values}

Name	Description	Unit	Variable = {Possible Values}
Resistance - R	Resistance matrix (12x12)	Ω/km	R = {'-1e64, 1e64'}
Inductance - L	Inductance matrix (12x12)	H/km	L = {'-1e64, 1e64'}
Capacitance - C	Capacitance matrix (12x12)	F/km	C = {'-1e64, 1e64'}

Sequence Parameters

Name	Description				Unit	Variable = {Possible Values}

Name	Description		Unit	Variable = {Possible Values}
Self impedance - Line	R	Resistance value for Zero and Positive sequences (Line 1)	Ω/km	Rself1 = {'-1e64, 1e64'}
	L	Inductance value for Zero and Positive sequences (Line 1)	H/km	Lself1 = {'-1e64, 1e64'}
	C	Capacitance value for Zero and Positive sequences (Line 1)	F/km	Cself1 = {'-1e64, 1e64'}
Self impedance - Line 2	R	Resistance value for Zero and Positive sequences (Line 2)	Ω/km	Rself2 = {'-1e64, 1e64'}
	L	Inductance value for Zero and Positive sequences (Line 2)	H/km	Lself2 = {'-1e64, 1e64'}
	C	Capacitance value for Zero and Positive sequences (Line 2)	F/km	Cself2 = {'-1e64, 1e64'}
Self impedance - Line 3	R	Resistance value for Zero and Positive sequences (Line 3)	Ω/km	Rself3 = {'-1e64, 1e64'}
	L	Inductance value for Zero and Positive sequences (Line 3)	H/km	Lself3 = {'-1e64, 1e64'}
	C	Capacitance value for Zero and Positive sequences (Line 3)	F/km	Cself3 = {'-1e64, 1e64'}
Self impedance - Line 4	R	Resistance value for Zero and Positive sequences (Line 4)	Ω/km	Rself4 = {'-1e64, 1e64'}
	L	Inductance value for Zero and Positive sequences (Line 4)	H/km	Lself4 = {'-1e64, 1e64'}
	C	Capacitance value for Zero and Positive sequences (Line 4)	F/km	Cself4 = {'-1e64, 1e64'}
Mutual impedance lines 1-2	R	Mutual resistance value between lines 1-2	Ω/km	Rmut12 = {'-1e64, 1e64'}
	L	Mutual inductance value between lines 1-2	H/km	Lmut12 = {'-1e64, 1e64'}
	C	Mutual capacitance value between lines 1-2	F/km	Cmut12 = {'-1e64, 1e64'}
Mutual impedance lines 1-3	R	Mutual resistance value between lines 1-3	Ω/km	Rmut13 = {'-1e64, 1e64'}
	L	Mutual inductance value between lines 1-3	H/km	Lmut13 = {'-1e64, 1e64'}
	C	Mutual capacitance value between lines 1-3	F/km	Cmut13 = {'-1e64, 1e64'}
Mutual impedance lines 1-4	R	Mutual resistance value between lines 1-4	Ω/km	Rmut14 = {'-1e64, 1e64'}
	L	Mutual inductance value between lines 1-4	H/km	Lmut14 = {'-1e64, 1e64'}
	C	Mutual capacitance value between lines 1-4	F/km	Cmut14 = {'-1e64, 1e64'}
Mutual impedance lines 2-4	R	Mutual resistance value between lines 2-4	Ω/km	Rmut24 = {'-1e64, 1e64'}
	L	Mutual inductance value between lines 2-4	H/km	Lmut24 = {'-1e64, 1e64'}
	C	Mutual capacitance value between lines 2-4	F/km	Cmut24 = {'-1e64, 1e64'}
Mutual impedance lines 2-3	R	Mutual resistance value between lines 2-3	Ω/km	Rmut23 = {'-1e64, 1e64'}
	L	Mutual inductance value between lines 2-3	H/km	Lmut23 = {'-1e64, 1e64'}
	C	Mutual capacitance value between lines 2-3	F/km	Cmut23 = {'-1e64, 1e64'}
Mutual impedance lines 3-4	R	Mutual resistance value between lines 3-4	Ω/km	Rmut34 = {'-1e64, 1e64'}
	L	Mutual inductance value between lines 3-4	H/km	Lmut34 = {'-1e64, 1e64'}
	C	Mutual capacitance value between lines 3-4	F/km	Cmut34 = {'-1e64, 1e64'}

Timing Parameters

Name	Description			Unit	Variable = {Possible Values}

Name	Description			Unit	Variable = {Possible Values}
Time units	Units applied to the programmed state transition operations				Ut = {s, ms, c}
		Second {s}	All operations T_n are in seconds
		Millisecond {ms}	All operations T_n are in milliseconds
		Cycle {c}	All operations T_n are in electrical cycles (setting the frequency is mandatory)
Time programming	Master switch that determines whether the programmed operations occur when triggering an acquisition				EnaGen = {0, 1}
		Disable {0}	Programmed operations are disabled
		Enable {1}	Programmed operations are enabled
Steady-state condition		Line 1	State of phase breakers for Line 1 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}
		Line 2	State of phase breakers for Line 2 in steady-state; “colored” if the breaker is open and “grey” if the breaker is closed		iniStateA2 = {0, 1} iniStateB2 = {0, 1} iniStateC2 = {0, 1} iniStateG2 = {0, 1}
		Line 3	State of phase breakers for Line 3 in steady-state; “colored” if the breaker is open and “grey” if the breaker is closed		iniStateA3 = {0, 1} iniStateB3 = {0, 1} iniStateC3 = {0, 1} iniStateG3 = {0, 1}
		Line 4	State of phase breakers for Line 4 in steady-state; “colored” if the breaker is open and “grey” if the breaker is closed		iniStateA4 = {0, 1} iniStateB4 = {0, 1} iniStateC4 = {0, 1} iniStateG4 = {0, 1}
Frequency	Should be set using the parameter "Base frequency".			Hz	Freq = { [45, 70] }
Switching times	Line 1	Enable/disable the state transition operation on Line 1.			EnaT1 = {0, 1} EnaT2 = {0, 1} ...
		Disable {0}