4-The following second order differential equation is the swing equation of a synchronous generator. d?8 d8 + 9 + 45.258 = 0 dt dt Choose the rotor angle and derivative of rotor angle as the state variables and demonstrate the

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4-The following second order differential equation is the swing equation of a synchronous
generator.
d?8
d8
+ 9
+ 45.258 = 0
dt
dt
Choose the rotor angle and derivative of rotor angle as the state variables and demonstrate the
swing equation in state space. Write the system in matrix form. Calculate poles of the system
from the matrix of the system. Is the rotor angle vanishing by any initial values for rotor angle
and its derivative?
Transcribed Image Text:4-The following second order differential equation is the swing equation of a synchronous generator. d?8 d8 + 9 + 45.258 = 0 dt dt Choose the rotor angle and derivative of rotor angle as the state variables and demonstrate the swing equation in state space. Write the system in matrix form. Calculate poles of the system from the matrix of the system. Is the rotor angle vanishing by any initial values for rotor angle and its derivative?
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