I. Introduction
The conventional ac grid network offers significant benefits in system stability and reliability. However, the network cannot effectively handle the congestion of key transmission lines due to its limited controllability. For instance, some lines are overloaded, but others are lightly loaded. Furthermore, undesirable loop flows are often observed. Not only does this lead to an inefficient operation of energy markets, but also the first line to reach its capacity limits the capacity of the entire system, even though a majority of the lines in the system are significantly below their limits [1].