modelAvgMMCmodel
Average MMC HVDC model
Information
The AvgMMCmodel is the average model of a Modular Multilevel Converter. This model is suitable for large AC grid dynamic studies where the simulations under phasor approximation is required.
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Complex | S0 | Init. val., conjugate | |
| Complex | xq0 | CM.j*(Xr + 0.5*L_arm)*Vb*Vb/MVAb | AC equivalent inductive reactance |
| Complex | Ra0 | AC equivalent resistance | |
| Complex | Vt0 | CM.fromPolar(Vgd/sqrt(3), teta_bus) | Connection bus voltage in complex form |
| Complex | I0 | 1/3*(S0/CM.conj(Vt0)) | Initial AC current (complex) |
| Real | ir0 | CM.real(I0) | Initial AC real current |
| Real | ii0 | CM.imag(I0) | Initial AC imaginary current |
| Complex | v_modulated | Vt0 + (Ra0 + xq0)*I0 | Modulated connection bus voltage magnitude (V) |
| SI.Angle | delta0 | CM.arg(Vt0 + (Ra0 + xq0)*I0) | Modulated connection bus voltage angle (radian) |
| Complex | P_vsc_ac | v_modulated*CM.conj(I0) | Per phase AC Power |
| Real | P_vsc_dc | CM.real(P_vsc_ac)*((3)) | DC Power |
| Real | R_dc_SI | 2*R_arm*Vb*Vb/(3*MVAb) | DC side equivalent resistance |
| Real | Vdc0_SI | Vdc0*Vdcb*1000 | DC volatge |
| Real | dis | sqrt(Vdc0_SI*Vdc0_SI - (4*R_dc_SI*P_vsc_dc)) | Temporary variable |
| Real | Idc0 | -(-1*Vdc0_SI + (dis))/(2*R_dc_SI) | Initial DC current |
| Physical parameters | |||
| Real | Rr | Rr | Connection resistance (pu) |
| Real | Xr | Xr | Connection inductance L (pu) |
| Real | L_arm | L_arm | MMC arm inductance (pu) |
| Real | R_arm | R_arm | MMC arm resistance (pu) |
| Real | C_sub | C_sub | MMC submodule capacitor (F) |
| Real | N_sub | N_sub | Number of submodules per arm |
| Base values | |||
| Real | S_b | S_b | System base power (MVA) |
| Real | MVAb | MVAb | Converter rated power (MVA) |
| Real | fb | fb | System frequency (Hz) |
| Real | Vb | Vb | Base voltage (kV) |
| Real | Vdcb | Vdcb | Base DC voltage (kV) |
| Power flow data | |||
| Real | Vgd | Vgd | Connection bus voltage magnitude (V) |
| SI.Angle | teta_bus | teta_bus | Connection bus voltage angle (radian) |
| Real | P_ref | P_ref | =Pref initial (W) |
| Real | Q_ref | Q_ref | =-Qref initial (VAr) |
| Control | |||
| Real | Vdc0 | Vdc0 | DC voltage reference (pu) |
| Real | Wmmc_0 | Wmmc_0 | Energy reference (pu) |
| Real | v_ref | v_ref | =reference PCC voltage (pu) |