I am new to this field. Many EIS graphs are one semicircle or two semicircles. Why does the EIS graph I tested have a small tail on the left? How should this graph be analyzed?
It depends (1, 2, ...) semi-circles, inductiveloops, lines, depressed graphs, time constants overlapping, distortion, distribution of time constants (Constant Phase Element, CPE) or PLM (Power Law Model as in the case of passive materials with thin oxide films).
1) The tail on the left should be investigated to know if it is the response of the perturbation of your system or it is just an artefact of measurent (usually due to the refereence electrode and a capacitor in parallel to the reference is added carfully) at high frequencies.