HVDC links has been proposed due to the lack of feasibility, of traditional AC transmission systems, to transport great amounts of power in systems with large physical connections. SuperGrids are one of the applications of these HVDC connections, where it must consider, not only the AC-DC conversions, but the DC power flow of the multiple nodes connected with the DC voltage. SuperGrids also have the purpose of interconnecting different countries with some independent sources and loads found in remotes places. Thus, the grid may enable an electrical market that must be moderated by an independent operator. This operator must guarantee the maximization of the global benefit of all parts, and this constitutes an economic dispatch problem. Thus, this paper proposes a methodology of assignation the optimal parameters of generators and converters that minimizes the total production cost of electrical energy. This approach solves the economic dispatch problem in a HVDC Grid taking into account the security restrictions of both AC-DC systems. The methodology is validated using the DC grid test-system benchmark provided by CIGRÉ. The algorithm was tested in not only different cost scenarios, but also different constraints conditions.