The distribution of relaxation times (DRT) method provides an alternative way to interpret EIS data. Thereby, the impedance data are analyzed by a continuous distribution of RC-elements in the space of relaxation times. The advantage of this method is that no a priori choice of equivalent circuit has to be made (it is assumption-free). Thus, distinct steps of charge storage processes can be separated according to their specific time constant. The resulting DRT function shows peaks representing the resistance of each individual sub-steps of complex electrochemical processes. To validate its applicability in a typical high-power electrochemical intercalation-based charge storage process, herein, the kinetics of the lithium intercalation reaction in TiS2 is studied by DRT analysis. TiS2 was the first host material for electrochemical lithium intercalation described by Prof. Whittingham and it exhibits a unique lithiation mechanism from organic electrolytes which is characterized by a diffusion-limited, battery-like region (in the LixTiS2 range of 0 < x < 0.5), and a surface-limited, pseudocapacitive region (in the LixTiS2 range of 0.5 < x < 1). Moreover, when utilizing electrolytes based on water or diglyme solvent, ionsolvent co-intercalation can be observed instead of bare ion intercalation from carbonate electrolytes. Finally, the TiS2 particle size can easily be modified via ball-milling, allowing to change diffusion path lengths. These features make TiS2 an ideal model system because several parameters can be modified individually by experimental design, and thus the resulting impedance response can be analyzed in detail.