In back to back HVDC technology we can easily control the flow of power and synchronize two different systems. Our project is based on the simulation studies and thus the feasibility of this Back to Back HVDC system which will be incorporated between Pakistan and India over a distance of less than 100 km. For simulation, the software used is Power System Simulator for Engineers, PSS/E. The working of this software is discussed in detail. In our thesis we have discussed back to back HVDC both theoretically and through simulation. They are employed on the India to Pakistan power transfer. The stability and thus the feasibility of this project is proved by simulation in PSS/E. Different types of transients have been applied to the system and stability of various parameters has been studied.