The extraction voltage of electric propulsion hollow cathode is mainly deposit in its plume region, and is usually believed to be proportional to plasma oscillation amplitude. However, this was not the case in some recent results. To specify the reason, this paper probe measured the potential distribution and oscillation amplitude distribution in the plume of a hollow cathode, and checked whether the two were relevant during the changes in keeper materials and keeper biases. We found a discontinuous potential rise (‘step region’) in the middle of plume, of which the voltage occupied over 40% of the total discharge voltage. The step region was sensitive to exterior electron emission, and could shift its location in a ~18mm range according to increase / decrease of oscillation amplitude. However, its voltage remained almost unchanged, as a result, the total extraction voltage remained still regardless of amplitude changes. Statistics indicated that the step region was related to electon-electron non-equilibrium, with splitting and recombination between EEPF multi-components, each at different flow states and trapping states. It was suspected that shockwaves and streaming instabilities were involved. Because the step region was accompanied by stronger oscillations and higher ion energies, inclusion of this plasma structure should be necessary to promote cathode test accuracy.