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At the last time the shunt and series compensators are used for damping on subsynchronous oscillations in power systems. It is very important the choice of control for this devices. This paper develops an adaptive control for series compensator, which uses an Optimal Singular Adaptive (OSA) observer for controlled object identification. The control signal is calculated by estimation of parameters and variables for identification model. It is suggested the mathematical model for the adaptivefatcat:5ckka3gj3rdjfpt646rluxe5ym