Example: ALTERNATOR05

Simple Alternator Stability Model

*: Simple Alternator Stability Model

*SYSTEM;
Pt0=166;   :: [MW] Turbine output Power [MW]


Pmax1=125.8;   :: [MW] Maximal electric Power given by Alternator at usual State
Pmax2=4.8;     :: [MW] Maximal electric Power given by Alternator when Fault
occurs
Pmax3=121.1;   :: [MW] Maximal electric Power after Fault Clearing
Pa1 /SIN/ B=Pmax1;
Pa2 /SIN/ B=Pmax2;
Pa3 /SIN/ B=Pmax3;

Tporuch=0.2;    :: [s] Time of Fault Occurence
Tvyppor=0.7;   :: [s] Time of Fault Clearing
Tf=0.35;        :: [s] Time Constant of Rotor exciting Winding

: Exciting current with Respect to Impact of overexciting System
Ib=1+1.5*(1-EXP(-(TIME-Tporuch)/Tf))*(TIME>Tporuch); :: Exciting current

: Final mechanical Power without Losses
DeltaP=-Pt0/3+Ib*(
       Pa1(Theta)*(TIME<Tporuch)
      +Pa2(Theta)*(TIME>=Tporuch)*(TIME<Tvyppor)
      +Pa3(Theta)*(TIME>=Tvyppor));

Omega0=2PI*50;   :: [rad/s] Angular synchronous Velocity
Tm=1.6;          :: [s] Alternator mechanical Time Constant
Sng=220;         :: [MVA] Nominal Alternator Power


DeltaM > J Omega = DeltaP/Omega0; :: [N*m]Moment Difference

Jm=Tm*Sng/(Omega0*Omega0); :: [kg*m^2] Inertia Moment
InertiaMoment > C Omega = Jm;

PowerAngle > @Int Omega,Theta; :: [rad] Power Angle

*TR;
init Theta=0.457, Omega=0;
TR 0 2;
PRINT(1001) DeltaP, Omega, Theta, Ib;
RUN;
*END;
:: DeltaP [MW] Final mechanical Power without Losses
:: Omega [rad/s] Angular Velocity
:: Theta [rad] Power Angle
:: Ib [rad/s] Exciting current with Respect to Impact of overexciting System

The following data were generated by DYNAST for the above given system model. You can modify the model parameters and re-submit the data to DYNAST to receive new results.

Submodels

• Integrator block