modelYDportTrafo_p_n_n

AC three port with Y or Delta topology for 3-winding transformers

Information

Defines Y- and Delta-topology transform of voltage and current variables and contains additionally voltage and current scaling.

Below

  term, v, i, w

denote either the 'primary' or 'secondary_a' or 'secondary_b' side

  term_p, v1, i1, w1
  term_na, v2a, i2a, w2a
  term_nb, v2b, i2b, w2b

Definitions

  v:     scaled voltage across conductor
  i:     scaled current through conductor
  v_n:   voltage neutral point if Y-topology
  i_n:   current neutral to ground if Y-topology
  w:     voltage ratio to nominal (any value, but common for primary and secondary)

Relations Y-topology, (v, i: terminal to neutral point)

  v = (term.v - {0, 0, sqrt(3)*v_n})/w
  term.i = i/w
  i_n = sqrt(3)*term.i[3]

Relations Delta-topology, (v, i: phase terminal to phase terminal)

  v[1:2] = sqrt(3)*Rot*term.v[1:2]/w
  v[3] = 0
  term.i[1:2] = sqrt(3)*transpose(Rot)*i[1:2]/w
  term.i[3] = 0
  with Rot = rotation_30deg

Connectors

TypeNameDefaultDescription
Spot.Base.Interfaces.ACabc_pterm_ppositive terminal
Spot.Base.Interfaces.ACabc_nterm_nanegative terminal a
Spot.Base.Interfaces.ACabc_nterm_nbnegative terminal b

Components

TypeNameDefaultDescription
Topology.Ytop_pp: Y or Delta topology
Topology.Ytop_nana: Y or Delta topology
Topology.Ytop_nbnb: Y or Delta topology
SI.Voltagev1top_p.v_cond/w1voltage conductor
SI.Currenti1top_p.i_cond*w1current conductor
SI.Voltagev_n1top_p.v_nvoltage neutral
SI.Currenti_n1top_p.i_ncurrent neutral to ground
SI.Voltagev2atop_na.v_cond/w2avoltage conductor
SI.Currenti2atop_na.i_cond*w2acurrent conductor
SI.Voltagev_n2atop_na.v_nvoltage neutral
SI.Currenti_n2atop_na.i_ncurrent neutral to ground
SI.Voltagev2btop_nb.v_cond/w2bvoltage conductor
SI.Currenti2btop_nb.i_cond*w2bcurrent conductor
SI.Voltagev_n2btop_nb.v_nvoltage neutral
SI.Currenti_n2btop_nb.i_ncurrent neutral to ground
SI.Voltagev0