Based　on　the　theory　of　synchronous　generator,　an　explicit　mathematical　model　for　three　phase　delta-connected　stator　winding　synchronous　generator　with　rectified　output　was　established.　The　effects　of　air-gap　flux　harmonics,　all　winding　resistances　and　rectifier　drops　were　considered.　By　using　a　numerical　method,　the　complete　working　rectification　process　can　be　directly　observed　and　analyzed　after　the　average　field　current,　rotor　speed　and　load　were　given.