This paper proposes a Model Predictive Control (MPC) for a High Voltage Direct Current (HVDC) inserted in an AC network, in order to improve the dynamic behavior performance under input and state non symmetrical constraints. To fully capture all range of grid and converter dynamics, an Electromagnetic Transients (EMT) modeling is done. For this, the well known New-England test case is enriched by adding a HVDC link. For the latter, a MPC is synthesized based on Linear Matrix Inequalities (LMIs) conditions for stabilization, in the sense of the Lyapunov theory. Constraints for converters currents are also integrated into the design in order to obtain a control implementable in practice. The proposed strategy is then compared with classic vector control to show the effectiveness of the strategy. Simulations are performed in EMT MATLAB/Simulink/Simpower/Simscape software environment.