Converting existing AC lines to DC for increasing power transmission has been an interesting topic for scientists, such applications could be managed by conventional converters. Converting AC lines to DC upgrades the power capacity of existing lines up to square root of two. In this paper, a modified converter that would use all three existing AC lines at the same time for DC transmission will be introduced. This converter will then be used to model a high-voltage direct current transmission (HVDC) system which enables to convert high-voltage alternating current (HVAC) transmission lines to HVDC lines. The mathematical model of the converter is developed and the system is tested by modeling with PSCAD/EMTDC software for operation and dynamic stability. A practical model is also developed in laboratory conditions and tested for operation.