In this paper, a new type of single-stage interlinking converters for Microbial Electrosynthesis (MES) energy storage applications connected to the three-phase grid is presented, in which impedance source network (ZSN) is employed to reduce cost and volume, and meanwhile improve the efficiency. Impedance source converter (ISC) with buck-boost characteristic is able to feed MES with a wide range of voltages in DC side, also, converter grid distortion in AC side is reduced because there is no need to dead time for switching. Different ZSNs are studied and discussed for MES energy application. The applicable ones are selected and a comprehensive comparison is presented. Also, the proposed efficient control for ISC consists of two parts, first ZSN capacitor control plus reactive power control are done by controlling modulation index, and second the objective of tracking active power reference can be achieved by means of controlling shoot-through duty cycle. Simulation results are presented to certify the comparison between ZSNs and to verify the merit of the proposed control scheme.