modelZ_matrixTrDat2

z-matrix from transient data, n=2

Extends from Modelica.Icons.Example (Icon for runnable examples).

Information

Equivalent circuit on diagram layer!

Test generator, transient order = 2.

Transient data are:

  tc_d  = {0.859012450972537, 0.024700865536969}  d-axis
  to_d  = {4.65929627144818,  0.03185596214872}   d-axis
  xtr_d = {0.32862524982383,  0.253031064823128}  d-axis

  tc_q  = {0.703091060761508, 0.0226730319219496} q-axis
  to_q  = {4.5014019794843,   0.0318010302865584} q-axis
  xtr_q = {0.27962838258275,  0.197108545894619}  q-axis

Corresponding circuit data are:

  {r[1:n], r_0} = {0.0011, 0.012, 0.005},    d- and q-axis
  {xsig[1:n], xsig_0} = {0.13, 0.035, 0.17}, d- and q-axis
  {xm[1:n], xm_0} = {0, 0.06, 1.6}, d-axis (coupling term xm[2])
  {xm[1:n], xm_0} = {0, 0, 1.6},    d-axis (coupling term zero)
  v_f denotes the field voltage.

The code uses

  xsig_s for xsig_0: armature leakage reactance
  xsig_r for xsig:   rotor leakage reactances
  r_s    for r_0:    armature (stator) resistance
  r_r    for r:      rotor resistances

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Parameters

TypeNameDefaultDescription
SI.AngularFrequencyomega_nom2*pi*60nom ang frequency
Booleanuse_xtrtrueuse t_closed and x_transient?
SI.Timetc_d{0.859012450972537, 0.024700865536969}time constant closed-loop d-axis {tc_d', tc_d'', ..}
SI.Timetc_q{0.703091060761508, 0.0226730319219496}time constant closed-loop q-axis {tc_q', tc_q'', ..}
SI.Timeto_d{4.65929627144818, 0.03185596214872}time constant open-loop d-axis {to_d', to_d'', ..}
SI.Timeto_q{4.5014019794843, 0.0318010302865584}time constant open-loop q-axis {to_q', to_q'', ..}
SIpu.Reactancextr_d{0.32862524982383, 0.253031064823128}trans reactance d-axis {xtr_d', xtr_d'', ..}
SIpu.Reactancextr_q{0.27962838258275, 0.197108545894619}trans reactance q-axis {xtr_q', xtr_q'', ..}
SIpu.Reactancex_d1.77syn reactance d-axis
SIpu.Reactancex_q1.77syn reactance q-axis
SIpu.Reactancexsig_s0.17leakage reactance stator
SIpu.Resistancer_s0.005resistance stator
SIpu.Currentif00.834830547142614induced field current at v_s=V_nom/0deg
SI.Anglealpha_if0-1.7713318143478angle(if0) at v_s=Vnom/0deg (sign: i_f behind v_s)
Realtol1e-6tolerance precalculation

Components

TypeNameDefaultDescription
Realzr_d
Realzx_d
Realzr_q
Realzx_q

Contents

NameDescription
T_openprotected
z_matrixprotected