Dual Active Bridge is often considered in many DC/DC converter applications where high efficiency, input/output voltage ratio and power level are required. Recently a predictive control technique, named Moving Discretized Control Set - Model Predictive Control has been introduced, in order to achieve faster dynamics and stable operation throughout the power and terminal voltage ranges, considering global control parameters. However, even if this technique provides flexible multi-objective control, its large signal stability remains in questions. In this paper, the large signal stability of a Dual Active Bridge converter operating in single phase shift with Moving Discretized Control Set - Model Predictive Control is analyzed, considering a phase-portrait based approach. The obtained results show insights into factors that stabilize or destabilize the converter operation. The proposed methodology is validated through both simulation and experimental testing.