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Depleting fossil fuels and the environmental hazards they create is driving the electricity market to incorporate renewable energy for an endurable habitat. These resources have revolutionized the distribution network, but at the same time, owing to their intermittent nature, have threatened the stability of the system. Hence the need for efficient dc-dc converter which will serve as an interface between the medium and low voltage grid. The Dual Active Bridge is an upcoming dc-dc converter which has wide applications in Solid State Transformer and hybrid electric vehicles. This paper analyzes the small signal modeling of Dual Active Bridge using the Dynamic Phasors. In order to analyze the stability issues, dynamic modeling of the controllers has to be reviewed which should aim at faster computation thereby reducing the overall simulation time. The proposed paper develops a controller using the K factor approach, a design procedure which is systematic, ensures stability and meets the performance specifications. The proposed dynamic phasor model of DAB would help in achieving faster control actions thereby ensuring stability of the system.