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This paper aims at analyzing the effect of the zero dynamics of the DualActive Bridge Isolated Bidirectional dc-dc converter (DAB) on the dynamics ofthe complete DAB system. It also explains its influence on controller designfor the DAB system. In carrying out these analyses, the state space model ofthe DAB, as well as the first harmonic approximation (FHA) of the model arederived. The ZVS and the stability analysis of the system are undertaken basedon the FHA model of the system. The system is shown to be stable for a constantoutput voltage operation for the entire power range while it is unstable forthe constant power load (CPL) operation for load demands close to the systemmaximum power. It is also shown that the transformer winding currents are partof the zero dynamic states and are always stable regardless of the operatingconditions of the system.

An Insight into the Dynamics of a Dual Active Bridge