Transient stability assessment and synchronization of multimachine power system using Kuramoto model

The crucial issue of loss of synchronization in post-disturbance conditions may lead to blackouts if corrective action is delayed. The complication increases due to large computation burden and time for wide-area network where thyristor-controlled series compensator (TCSC) is used as controller for transient stability enhancement. The trade-off in accuracy and speed in generating control law using linearized models becomes ineffective for changed operating scenarios. In addition, forming multi-machine linearized model becomes challenging when TCSC appears as non-separable element of a dense admittance matrix, which can be separated as a control variable in single-machine infinite-bus system. Overcoming the limitations of linearized controllers, the present paper verifies the Kuramoto mean-field condition using Kron reduction with non-trivial transfer conductances for unstable post-fault scenario. To regain synchronization effectively, necessary TCSC compensation has adjusted network parameters as proved by MATLAB simulations performed on 12-bus system, where real-time data is acquired by phasor measurement units.