Turbine and its governor (the mathematical models are taken from PSAT)

Extends from Modelica.Icons.Package (Icon for standard packages).

Name | Description |
---|---|

TGTypeI | TG Type I |

TGTypeII | TG Type II |

TGTypeIII | Hydro Turbine (Linear model) and Governor (Standard model)- control scheme Type 3 |

TGTypeIV | Hydro Turbine (Linear model) and Governor (Standard model with PI controller)- control scheme Type 4 |

TGTypeV | Hydro Turbine (Nonlinear model) and Governor (PI controller combined with servomotor)- control scheme Type 5 |

TGTypeVI | Hydro Turbine (Nonlinear model) and Governor (PID controller combined with servomotor)- control scheme Type 6 |

TG Type I

Name | Description |
---|---|

wref | Speed reference [1] |

pref | Active power reference [1] |

R | Droop [1] |

pmax | Maximum turbine output [1] |

pmin | Minimum turbine output [1] |

Ts | Governor time constant [s] |

Tc | Servo time constant [s] |

T3 | Transient gain time constant [s] |

T4 | Power fraction time constant [s] |

T5 | Reheat time constant [s] |

Name | Description |
---|---|

w | Rotor speed [pu] |

pm | Mechanical power [pu] |

TG Type II

Name | Description |
---|---|

wref | Reference speed [1] |

R | Droop [1] |

pmax0 | Maximum turbine output [1] |

pmin0 | Minimum turbine output [1] |

Ts | Governor Time constant [s] |

T3 | Transient gain time constant [s] |

Sn | Nominal power [VA] |

Power flow data | |

S_b | System base power [VA] |

Name | Description |
---|---|

pm0 | Initial mechanical power [pu] |

pm | Mechanical power [pu] |

w | Rotor speed [pu] |

Hydro Turbine (Linear model) and Governor (Standard model)- control scheme Type 3

Name | Description |
---|---|

wref | Reference speed [1] |

Tg | Pilot valve droop [1] |

gmax | Maximum gate opening [1] |

gmin | Minimum gate opening [1] |

vmax | Maximum gate opening rate [1] |

vmin | Minimum gate opening rate [1] |

Tp | Pilot valve time constant [s] |

Tr | Dashpot time constant [s] |

delta | Transient speed droop [pu/pu] |

sigma | Permanent speed droop [pu/pu] |

Tw | Water starting time [s] |

a11 | Deriv. of flow rate vs. turbine head |

a13 | Deriv. of flow rate vs. gate position |

a21 | Deriv. of torque vs. turbine head |

a23 | Deriv. of torque vs. gate position |

int3 | |

Power flow data | |

P_0 | Active power [1] |

Name | Description |
---|---|

w | Rotor speed [pu] |

pm | Mechanical power [pu] |

Hydro Turbine (Linear model) and Governor (Standard model with PI controller)- control scheme Type 4

Name | Description |
---|---|

wref | Reference speed [1] |

Tg | Pilot valve droop [1] |

gmax | Maximum gate opening [1] |

gmin | Minimum gate opening [1] |

vmax | Maxmimum gate opening rate [1] |

vmin | Maximum gate opening rate [1] |

Tp | Pilot valve time constant [s] |

Tr | Dashpot time constant [s] |

sigma | Permanent speed droop [pu/pu] |

delta | Transient speed droop [pu/pu] |

Tw | Water starting time [s] |

a11 | Deriv. of flow rate vs. turbine head |

a13 | Deriv. of flow rate vs. gate position |

a21 | Deriv. of torque vs. turbine head |

a23 | Deriv. of torque vs. gate position |

Kp | Proportional droop |

Ki | Integral droop |

Pref |

Name | Description |
---|---|

w | Rotor speed [pu] |

Pm | Mechanical power [pu] |

Hydro Turbine (Nonlinear model) and Governor (PI controller combined with servomotor)- control scheme Type 5

Name | Description |
---|---|

Tg | Servomotor droop [1] |

gmax | Maximum gate opening [1] |

gmin | Minimum gate opening [1] |

vmax | Maximum gate opening rate [1] |

vmin | Minimum gate opening rate [1] |

Tp | Pilot valve time constant [s] |

Tw | Water starting time [s] |

Kp | Proportional droop [pu/pu] |

Ki | Integral droop [pu/pu] |

sigma | Permanent speed droop [pu/pu] |

Pref | [1] |

Name | Description |
---|---|

w | Rotor speed [pu] |

Pm | Power Pm [pu] |

pref | Reference power [pu] |

wref | Reference rotor speed [pu] |

Hydro Turbine (Nonlinear model) and Governor (PID controller combined with servomotor)- control scheme Type 6

Name | Description |
---|---|

gmax | Maximum gate opening [1] |

gmin | Minimum gate opening [1] |

vmax | Maximum gate opening rate [1] |

vmin | Minimum gate opening rate [1] |

Ta | Pilot valve time constant [s] |

Tw | Water starting time [s] |

beta | Transient speed droop [pu/pu] |

Kp | Proportional droop [pu/pu] |

Ki | Integral droop [1/s] |

Kd | Derivative droop [s] |

Td | Derivative droop time constant [s] |

Rp | Permanent droop [pu/pu] |

Ka | Pilot valve gain [pu/pu] |

dref | [1] |

po | [1] |

Name | Description |
---|---|

Pm | Mechanical power [pu] |

pe | Active power [pu] |

pref | Active power reference [pu] |

wref | Rotor speed reference [pu] |

we | Rotor speed [pu] |