The present invention relates to a compound electrical discharge machining (EDM) apparatus, which combines a small-hole EDM module and a wire-cut EDM apparatus and hence having the functions of small-hole and wire-cut EDM simultaneously. Thereby, in the compound EDM apparatus, a workpiece can be first processed by the small-hole EDM and subsequently by the wire-cut EDM without repositioning. Accordingly, automatic processing can be achieved. The inability of full automation in wire-cut EDM machines owing to lack of small-hole EDM functionality is improved.
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