This paper computes the small signal dynamic response of a thyristor c
ontrolled series capacitor system for use in control design. The compu
tation includes the effects of synchronization and the nonlinearity du
e to thyristor switchings. Eigenvalues of the small signal dynamic res
ponse are computed and used to study the dynamic response of the Kayen
ta system using different methods of synchronization and a closed loop
control.