The rise in power demands and concern over climate change is leading to increased penetration of wind energy into the grid. However, the transmission network infrastructure is not equipped for such a transition. Transmission lines are responsible for the transfer of electric power from generating stations to load centres and consumers. In this process, the lines incur losses which affect the quality of power. Also, it has an economic impact on the utilities. Therefore, such losses must be minimised so that the power quality can be improved and economic losses are less. With the increase in the percentage of wind energy integration in the grid, the transmission line losses are increasing. To address this problem, a remedial action scheme (RAS) has been proposed for increasing wind energy penetration in the grid with minimum transmission line losses. To achieve this, the proposed method uses a multiobjective optimisation problem which is solved using the genetic algorithm. For varying transmission line losses, the multi-objective optimisation problem determines the optimal generation from each wind generator. The proposed RAS is tested for the New England 39-bus network and the results highlight the performance of the method to maximise the wind power injection.