## 1 Introduction  
Al\({}_{2}\)O\({}_{3}\) ceramic is an important engineering material because of its high hardness, electrical resistivity, strength, wear resistance and low density. However, its hard and brittle nature and electrically insulating characteristic make machining difficult and costly. Diamond wire sawing is one of the most effective ways of cutting Al\({}_{2}\)O\({}_{3}\) ceramic because it has good machining accuracy and causes less surface damage [1]. However, the MRR needs to be improved due to the increasing demand for Al\({}_{2}\)O\({}_{3}\) ceramic parts. In this paper, an oil film-assisted ECDM process is integrated with diamond wire sawing. The high temperature generated from spark discharge lowers the strength of Al\({}_{2}\)O\({}_{3}\) ceramic and makes it easier to be removed by the moving diamond wire. The integration of oil film-assisted ECDM may bring about changes in surface quality and affect the performance of machined parts. At present, the main methods of electrical discharge machining of ceramic materials are EDM and ECDM. Some studies have added conductive materials to Al\({}_{2}\)O\({}_{3}\) ceramics so that electric discharge machining (EDM) can be used. [PERSON] [2] et al. prepared MgF\({}_{2}\)-doped Al\({}_{2}\)O\({}_{3}\) ceramics by the stirring and mixing method and non-pressure sintering process, effectively improving the dielectric constant of Al\({}_{2}\)O\({}_{3}\) ceramics. [PERSON] et al. in Japan studied the phenomenon of wire-cutting of insulating ceramics by covering the surface of insulating ceramics with a layer of conductive material using the PVD method, and then using molybdenum, copper or copper zinc electrode wires for wire cutting. [PERSON] also produced complex axisymmetric shapes by rotating the workpiece [3]. [PERSON] et al. added conductive powder into the electrolyte and found that the surface of hard and brittle non-conductive materials can be processed efficiently and better surface quality can be obtained by mixing powder electrolytic and EDM technology [4]. [PERSON] et al. [5] studied the surface quality of Al2O3 ceramic composite reinforced by TiC particles and SiC whiskers during EDM, and the results show that the discharge energy can cause thermal spalling, which greatly increases the MRR. The above is a study on the surface quality of conductive Al2O3 ceramic composite materials by EDM. When the workpiece material does not conduct electricity, do not use EDM to generate spark discharge. Electrochemical discharge machining (ECDM) is a solution to generate spark discharge for machining insulation materials [6], although its MRR is extremely low when machining Al2O3 ceramics [7]. [PERSON] et al. [8] processed semi-conductive engineering materials with mixed electrolyte of sodium hydroxide and potassium hydroxide during ECDM and found that the mixed electrolyte improved the processing speed in terms of material removal rate. [PERSON] et al. [9] found the optimal combination of process parameters, which achieved better film quality and more uniform discharge energy distribution, thus reducing radial overcutting and roundness errors during ECDM. [PERSON] et al. [10] designed and developed a tracking electrode device to make it move synchronously with the tool tube electrode, thereby stabilizing the electrode between the anode and cathode to improve the machining stability. This improved the machining effect and the surface quality of the micro-hole of insulated ceramic ECDM. [PERSON] et al. [11] proposed that laser-assisted ECDM could significantly improve the quality and precision of electrochemical discharge machining microchannels, aiming at the existing problems of heat-affected zone and over-cutting phenomenon in electrochemical discharge machining. Based on the wetting method, [PERSON] et al. [12] designed a fuzzy control system based on force signal feedback control of feed speed.