modelSynchronousGenerator_3rdOrderModel
Extends from ModPowerSystems.Base.Interfaces.RealValue.ThreePhase.OnePortGroundedInit (Shell model for one-port models with one initialized electrical three-phase connector).
Information
References:
[1] M. Eremia and M. Shahidehpour, Handbook of Electrical Power System Dynamics. Hoboken, NJ, USA: John Wiley & Sons, Inc, 2013.
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| SI.Voltage | Vnom (from OnePortGroundedInit) | 110e3 | Nominal phase-to-phase RMS voltage |
| Real | V_nom | 24e3 | Nominal phase-to-phase RMS voltage |
| Real | P_nom | 555e6 | Nominal turbine (active) power (MW) |
| Real | f_nom | 60 | Nominal frequency |
| Real | p | 1 | Number of pole pairs |
| Real | H | 3.7 | Inertia constant |
| Real | R_s | 0.003 | Stator Resistance |
| Real | L_l | 0.15 | Stator leakage |
| Real | L_md | 1.6599 | d axis mutual inductance |
| Real | L_mq | 1.61 | q axis mutual inductance |
| Real | R_fd | 0.0006 | Rotor Resistance |
| Real | L_lfd | 0.1648 | Rotor leakage |
| Real | P_init | 0.001 | Initial active power |
| Real | Q_init | 0 | initial reactive power |
| Real | theta_volt_init | -Modelica.Constants.pi/2 | initial voltage angle |
| Real | omega_nom | 2*Modelica.Constants.pi*f_nom | Nominal angular frequency |
| Real | v_b | sqrt(2/3)*V_nom | |
| Real | i_b | 2/3*P_nom/v_b | |
| Real | omega_b | omega_nom/p | |
| Real | S_init | sqrt(P_init^2 + Q_init^2) | |
| Real | vt_init | sqrt(2/3)*V_nom/v_b | |
| Real | it_init | S_init/vt_init | |
| Real | pf_init | acos(P_init/S_init) | |
| Real | delta_init | atan(((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))) | |
| Real | v_d_init | vt_init*sin(delta_init) | |
| Real | v_q_init | vt_init*cos(delta_init) | |
| Real | i_d_init | it_init*sin(delta_init + pf_init) | |
| Real | i_q_init | it_init*cos(delta_init + pf_init) | |
| Real | i_fd_init | (v_q_init + R_s*i_q_init + (L_md + L_l)*i_d_init)/L_md | |
| Real | v_fd_init | R_fd*i_fd_init | |
| Real | Psi_d_init | v_q_init + R_s*i_q_init | |
| Real | Psi_q_init | -v_d_init - R_s*i_d_init | |
| Real | Psi_fd_init | (L_md + L_lfd)*i_fd_init - L_md*i_d_init | |
| Real | omega_e_init | 1 | |
| Real | omega_m_init | omega_e_init/p | |
| Real | T_e_init | Psi_d_init*i_q_init - Psi_q_init*i_d_init | |
| Real | theta_init | theta_volt_init + delta_init - Modelica.Constants.pi/2 |
Connectors
| Type | Name | Default | Description |
|---|---|---|---|
| ModPowerSystems.Base.Interfaces.RealValue.ThreePhase.Plug | Plug1 (from OnePortGrounded) | ||
| Modelica.Blocks.Interfaces.RealInput | P_m_in | ||
| Modelica.Blocks.Interfaces.RealInput | v_fd_in |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| SI.Voltage[3] | v (from OnePortGrounded) | ||
| SI.Current[3] | i (from OnePortGrounded) | ||
| SI.Voltage[3] | vpp (from OnePortGrounded) | Voltage phase-to-phase | |
| SI.InstantaneousPower | p_instant (from OnePortGrounded) | Consumed instantaneous power | |
| Real | Psi_d | ||
| Real | Psi_q | ||
| Real | Psi_fd | ||
| Real | v_d | ||
| Real | v_q | ||
| Real | v_fd | v_fd_in/v_b | |
| Real | i_d | ||
| Real | i_q | ||
| Real | i_fd | ||
| Real | omega_e_0 | 1 | |
| Real | omega_e | ||
| Real | omega_m | ||
| Real | theta | ||
| Real | P_m | P_m_in/P_nom | |
| Real | T_e | ||
| Real | T_m |