The electrical grid with pulsed power loads (PPLs) is of the significant interest in aerospace and marine applications. In this work, a Superconducting Magnetic Energy Storage (SMES)-based Power Conditioning System (PCS) is proposed to compensate the pulsating load, and mitigates the adverse consequences of the load. A uniform source current and power with minimum variations is maintained irrespective of the PPL. A detrimental high rating stress on the system due to the load is substantially reduced by the proposed system. Particularly, this paper presents a nonlinear control approach based on Dynamic Evolution Control (DEC) for tight error regulation of the controlling parameters (three-phase compensating currents and DC-link voltage). The control scheme is implemented in both the inverter and DC-DC converter of the PCS for an efficient energy exchange between the SMES coil and the grid. Moreover, a comparative performance of the control scheme is examined under two different modes of operation, that is, Shunt Active Power Filter (SAPF) and SMES-based PCS mode. The proposed system is validated in MATLAB/Simulink and real-timed SPACE1104 environment.dynamic evolution control technique, power quality, pulsed power load, shunt active power filter, superconducting magnetic energy storage, system stability List of Symbols and Abbreviations: X, System rating (in kVA); T, Time period for each cycle; n, Number of cycles; ω, Angular frequency; V dc , DC-link voltage across Cdc; L c , Interfacing inductance; L smes , Equivalent inductance of SMES coil; I smes , SMES coil current; m, Design parameter of DEC (rate of evolution); ξ, A positive co-efficient (range: 0 to 1); α, Duty cycle of DC-DC converter; I sd , Fundamental d-axis component of nominal load current (i.e., during NL condition only); v a , v b , v c , Measured three-phase voltages at the PCC; i sa , i sb , i sc , Measured three-phase source currents; i La , i Lb , i Lc , Sensed three-phase load currents; i ca , i cb , i cc , Sensed three-phase compensating currents; v Ld , v Lq , Transformed d -q components of v a , v b , v c ; i cd , i cq , Transformed d -q components of i ca , i cb , i cc ; i Ld , i Lq , Transformed d-q components of i La , i Lb , i Lc ; d nd , d nq , Switching state functions in d -q frame; d na , d nb , d nc , Switching state functions in a -b -c frame;