Line codes¶
Two types of lines models can be considered:
- Serie Impedance (only R and X)
- PI Section Line (R, X ans shunt C)
Line parammeters can be introduced as:
- Sequence coordinates
- Primitive matrices
- Unitary voltage drop for p.f.= 1.0 and p.f.= 0.8
Serie impedance sequence parameters¶
Sequence coordinates¶
"line_codes":
{"mv_al_50": {"R1":0.8, "X1": 0.148, "R0":0.8, "X0": 0.148},
"mv_al_95": {"R1":0.403, "X1": 0.129, "R0":0.403, "X0": 0.129},
"mv_al_120": {"R1":0.321, "X1": 0.123, "R0":0.321, "X0": 0.321},
"mv_al_185": {"R1":0.209, "X1": 0.113, "R0":0.209, "X0": 0.209},
"mv_al_300": {"R1":0.128, "X1": 0.105, "R0":0.128, "X0": 0.128}
}
where:
"R1"
: Positive sequence resistance (Ω/km)"X1"
: Positive sequence reactance (Ω/km)"R0"
: Zero sequence resistance (Ω/km)"X0"
: Zero sequence reactance (Ω/km)
Primitive matrices¶
"line_codes":
{"UG1":
{"R":[[ 0.211, 0.049, 0.049, 0.049],
[ 0.049, 0.211, 0.049, 0.049],
[ 0.049, 0.049, 0.211, 0.049],
[ 0.049, 0.049, 0.049, 0.211]],
"X":[[ 0.747, 0.673, 0.651, 0.673],
[ 0.673, 0.747, 0.673, 0.651],
[ 0.651, 0.673, 0.747, 0.673],
[ 0.673, 0.651, 0.673, 0.747]]
},
"UG3":
{"R":[[ 0.871, 0.049, 0.049, 0.049],
[ 0.049, 0.871, 0.049, 0.049],
[ 0.049, 0.049, 0.871, 0.049],
[ 0.049, 0.049, 0.049, 0.871]],
"X":[[ 0.797, 0.719, 0.697, 0.719],
[ 0.719, 0.797, 0.719, 0.697],
[ 0.697, 0.719, 0.797, 0.719],
[ 0.719, 0.697, 0.719, 0.797]]
}
}
where:
"R"
: Resistance primitive (Ω/km)"X"
: Reactance primitive (Ω/km)
Unitary voltage drop¶
"line_codes":
{
"lv_cu_150": {"u90_pf10":0.27,"u90_pf08":0.31, 'T_deg':90.0, 'alpha':0.004},
"lv_cu_240": {"u90_pf10":0.17,"u90_pf08":0.27, 'T_deg':90.0, 'alpha':0.004}
}
where:
"u90_pf10"
: Unitary voltage drop with load cos(φ) = 1.0 at 90ºC (V/(km A))"u90_pf08"
: Unitary voltage drop with load cos(φ) = 0.8 at 90ºC (V/(km A))"T_deg"
: Current conductor temperature (ºC)"alpha"
: Temperature coefficient (1/ºC)
PI section sequence parameters¶
"line_codes":
{
"mv_cu_50_pi": {"R1":0.387, "X1": 0.152, "R0":0.387, "X0": 0.152, "C_1_muF":0.135, "C_0_muF":0.135},
"mv_cu_95_pi": {"R1":0.193, "X1": 0.136, "R0":0.193, "X0": 0.136, "C_1_muF":0.175, "C_0_muF":0.175},
"mv_cu_120_pi": {"R1":0.153, "X1": 0.132, "R0":0.153, "X0": 0.132, "C_1_muF":0.186, "C_0_muF":0.186},
"mv_cu_185_pi": {"R1":0.099, "X1": 0.121, "R0":0.099, "X0": 0.121, "C_1_muF":0.226, "C_0_muF":0.226},
"mv_cu_300_pi": {"R1":0.060, "X1": 0.112, "R0":0.060, "X0": 0.112, "C_1_muF":0.275, "C_0_muF":0.275}
}
where:
"R1"
: Positive sequence resistance (Ω/km)"X1"
: Positive sequence reactance (Ω/km)"R0"
: Zero sequence resistance (Ω/km)"X0"
: Zero sequence reactance (Ω/km)"C_1_muF"
: Zero sequence resistance (µF/km)"C_0_muF"
: Zero sequence reactance (µF/km)
Serie impedance primitives¶
PI section sequence parameters¶
"line_codes":
{
"K1":
{"R":[[0.8667, 0.2955, 0.2907],
[0.2955, 0.8837, 0.2992],
[0.2907, 0.2992, 0.8741]],
"X":[[2.0417,0.9502, 0.7290],
[0.9502,1.9852, 0.8023],
[0.7290,0.8023, 2.0172]],
"B_mu":[[10.7409, -3.4777, -1.3322],
[-3.4777, 11.3208, -2.2140],
[ -1.3322, -2.2140, 10.2104]]}
}
where:
"R"
: Resistance primitive (Ω/km)"X"
: Reactance primitive (Ω/km)"B_mu"
: Zero sequence resistance (µ℧/km)