Simple Model of Alternator and main Network Stability.
Occurence of Fault on Coupling overhead Line and after that Clearing of it.
Transient Action solved from 0 to 2 sec.
Chosen clearing Time is 0.45 sec. In this case Stability was restored.
Pt0 | 166 | Pt0 = 166 | [MW] | Turbine output Power [MW] |
Pmax1 | 125.8 | Pmax1 = 125.8 | [MW] | Maximal electric Power given by Alternator at usual State |
Pmax2 | 4.8 | Pmax2 = 4.8 | [MW] | Maximal electric Power given by Alternator when Fault occurs |
Pmax3 | 121.1 | Pmax3 = 121.1 | [MW] | Maximal electric Power after Fault Clearing |
Tporuch | 0.2 | Tporuch = 0.2 | [s] | Time of Fault Occurence |
Tvyppor | 0.45 | Tvyppor = 0.45 | [s] | Time of Fault Clearing |
Tf | 0.35 | Tf = 0.35 | [s] | Time Constant of Rotor exciting Winding |
Omega0 | 2PI*50 | ω0 = 2.π.50 | [rad/s] | Angular synchronous Velocity |
Tm | 1.6 | Tm = 1.6 | [s] | Alternator mechanical Time Constant |
Sng | 220 | Sng = 220 | [MVA] | Nominal Alternator Power |
*: 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=0.45; :: [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.
Karel Noháč KEE, FEL, ZČU v Plzni
November 13, 2014