Aimed at the control and modulation of dual active bridge bidirectional dc (DAB-BIDC) converter, an unconventional approach is applied to explore its effect in symmetrical wave-based isolated dc–dc converters. The existing control schemes of DAB-BIDC converter with unified or optimal phase shift modulation have the constraints like complex control schemes, light load efficiency, current stress, and reactive power. As 50 Hz grid-connected converter uses a sinusoidal pulse width modulation to minimize the requirement for passive filters and improves the power quality. Similarly, this work investigates the same analogy for the high-frequency (HF) symmetrical wave converters to get effective modulation and control scheme for the DAB-BIDC converter. Furthermore, the proposed sinusoidal pulsewidth-phase shift modulation scheme has been implemented by the optimally derived control parameters using Lagrange’s Multiplier Method to minimize the reactive power flow and current stress reduction at the HF link. Therefore, the DAB-BIDC converter with the proposed modulation and control approach can be used for EV charging and solid-state transformers applications. Finally, the proposed work is validated using MATLAB simulation and experimental setup having turn ratio 36/12 V, fundamental frequency 5-kHz, and switching frequency 100-kHz for the experimental validation using OPAL-RT.