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)