For long-pulse, single-mode operation of free-electron lasers, transient behavior of the terminal voltage in a recirculating electrostatic accelerator is analyzed. It is found that the rate of terminal voltage drop depends on the position where the current loss of electron beam occurs. The rate is measured to be 507 V/A mu s for the current loss in the terminal and 100 V/A mu s for the current loss in the deceleration tube. By increasing the capacitances between the adjacent electrodes of a deceleration tube, the accelerator becomes more stable with low rate of terminal voltage drop and increased recovery efficiency. (C) 1996 American Institute of Physics.