The paper focuses on studying an improved structure of ANN αth-order inverse and its application as a TCSC controller in a real power system, consisting of 49 equivalent buses and 19 equivalent machines, to increase its transient stability. The ANN αth-order inverse, consisting of a single static ANN and a number of integrators, is used to eliminate the nonlinearities of power the system. An additional linear feedback controller is designed to enhance the stability of the linearised system. With almost the same structure (but different weights of ANN), this controller is first used to control a single-machine infinite-bus system and then the real multimachine system. The satisfactory simulation results show that such a control strategy has a promising future.