modelZ_matrixTrDat3

z-matrix from transient data, n=3

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

Information

Equivalent circuit on diagram layer!

Test generator, transient order = 3.

Transient data are:

  tc_d  = {0.869154751730285, 0.028837675377106,  0.00293370131083294} d-axis
  to_d  = {4.79391852025869,  0.0390156982688014, 0.00331427152151774} d-axis
  xtr_d = {0.324237799805601, 0.238193407852477,  0.209956053815068}   d-axis

  tc_q  = {0.710852334653427, 0.0267828156988275, 0.00180497772676905} q-axis
  to_q  = {4.63399482930977,  0.0387883296526998, 0.00197933074735668} q-axis
  xtr_q = {0.275669319075036, 0.187924853846143,  0.170964423631031}   q-axis

Corresponding circuit data are:

  {r[1:n], r_0} = {0.0011, 0.012, 0.03, 0.005},     d- and q-axis
  {xsig[1:n], xsig_0} = {0.13, 0.035, 0.001, 0.17}, d- and q-axis
  {xm[1:n], xm_0} = {0, 0.02, 0.04, 1.6}, d-axis (coupling terms xm[2:3])
  {xm[1:n], xm_0} = {0, 0, 0, 1.6},       d-axis (coupling terms 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{0.869154751730285, 0.028837675377106, 0.00293370131083294}time constant closed-loop d-axis {tc_d', tc_d'', ..}
SI.Timetc_q{0.710852334653427, 0.0267828156988275, 0.00180497772676905}time constant closed-loop q-axis {tc_q', tc_q'', ..}
SI.Timeto_d{4.79391852025869, 0.0390156982688014, 0.00331427152151774}time constant open-loop d-axis {to_d', to_d'', ..}
SI.Timeto_q{4.63399482930977, 0.0387883296526998, 0.00197933074735668}time constant open-loop q-axis {to_q', to_q'', ..}
SIpu.Reactancextr_d{0.324237799805601, 0.238193407852477, 0.209956053815068}trans reactance d-axis {xtr_d', xtr_d'', ..}
SIpu.Reactancextr_q{0.275669319075036, 0.187924853846143, 0.170964423631031}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.Currentif00.47426409312074induced field current at v_s=V_nom/0deg
SI.Anglealpha_if0-2.5862242826262angle(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