modelSynchronousGenerator_3rdOrderModel

Extends from ModPowerSystems.Base.Interfaces.ComplexPhasor.SinglePhase.OnePortGroundedInit.

Information

References:

[1] M. Eremia and M. Shahidehpour, Handbook of Electrical Power System Dynamics. Hoboken, NJ, USA: John Wiley & Sons, Inc, 2013.

[2] P. Kundur, N. J. Balu, and M. G. Lauby, Power system stability and control. New York; London: McGraw-Hill, 1994.

Parameters

TypeNameDefaultDescription
SI.VoltageVnom (from OnePortGroundedInit)110e3Nominal phase-to-phase RMS voltage
RealV_nom24e3Nominal phase-to-phase RMS voltage
RealP_nom555e6Nominal turbine (active) power (MW)
Realf_nom60Nominal frequency
Realp1Number of pole pairs
RealH3.7Inertia constant
RealR_s0.003Stator Resistance
RealL_l0.15Stator leakage
RealL_md1.6599d axis mutual inductance
RealL_mq1.61q axis mutual inductance
RealR_fd0.0006Rotor Resistance
RealL_lfd0.1648Rotor leakage
RealP_init0.5405405405405406Initial active power
RealQ_init0initial reactive power
Realtheta_volt_init-Modelica.Constants.pi/2initial voltage angle
Realomega_nom2*Modelica.Constants.pi*f_nomNominal angular frequency
Realv_bsqrt(2/3)*V_nom
Reali_b2/3*P_nom/v_b
Realomega_e_bomega_nom
Realomega_m_bomega_nom/p
RealS_initsqrt(P_init^2 + Q_init^2)
Realvt_initsqrt(2/3)*V_nom/v_b
Realit_initS_init/vt_init
Realpf_initacos(P_init/S_init)
Realdelta_initatan(((L_mq + L_l)*it_init*cos(pf_init) - R_s*it_init*sin(pf_init))/(vt_init + R_s*it_init*cos(pf_init) + (L_mq + L_l)*it_init*sin(pf_init)))
Realv_d_initvt_init*sin(delta_init)
Realv_q_initvt_init*cos(delta_init)
Reali_d_initit_init*sin(delta_init + pf_init)
Reali_q_initit_init*cos(delta_init + pf_init)
Reali_fd_init(Psi_d_init + (L_md + L_l)*i_d_init)/L_md
Realv_fd_initR_fd*i_fd_init
RealPsi_d_initv_q_init
RealPsi_q_init-v_d_init
RealPsi_fd_init(L_md + L_lfd)*i_fd_init - L_md*i_d_init
Realomega_e_initomega_nom/omega_e_b
Realomega_m_initomega_nom/p/omega_m_b
RealT_e_initPsi_d_init*i_q_init - Psi_q_init*i_d_init
Realtheta_re_inittheta_volt_init + delta_init - Modelica.Constants.pi/2
Realtheta_s_init0

Connectors

TypeNameDefaultDescription
ModPowerSystems.Base.Interfaces.ComplexPhasor.SinglePhase.PinPin1 (from OnePortGrounded)
Modelica.Blocks.Interfaces.RealInputP_m_in
Modelica.Blocks.Interfaces.RealInputv_fd_in

Components

TypeNameDefaultDescription
Modelica.SIunits.ComplexVoltagev (from OnePortGrounded)
Modelica.SIunits.ComplexCurrenti (from OnePortGrounded)
SI.ActivePowerP (from OnePortGrounded)Consumed Active Power
SI.ReactivePowerQ (from OnePortGrounded)Reactive Power
SI.VoltageV (from OnePortGrounded)Voltage RMS phase-to-neutral
SI.VoltageVpeak (from OnePortGrounded)Voltage peak phase-to-neutral
SI.VoltageVpp (from OnePortGrounded)Voltage RMS phase-to-phase
SI.CurrentI (from OnePortGrounded)Current RMS
SI.CurrentIpeak (from OnePortGrounded)Current peak
SI.AngleVangle (from OnePortGrounded)Voltage phase
SI.AngleIangle (from OnePortGrounded)Current phase
SI.Anglephi (from OnePortGrounded)Phase shift between voltage and current
RealPsi_d
RealPsi_q
RealPsi_fd
Realv_d
Realv_q
Reali_d
Reali_q
Reali_fd
Realv_fdv_fd_in/v_b
Realtheta_s
Realomega_e_01
Realomega_e
Realomega_m
Realtheta_re
RealT_e
RealT_m
RealP_mP_m_in/P_nom
Realdeltapower angle