In　recent　years,　the　consensus　control　has　become　a　research　hotspot　in　microgrid　cooperative　control.　However,　when　the　VSG　control　is　applied,　the　system　has　higher　order,　more　parameters　and　more　complex　dynamic　response.　And　there　are　few　studies　on　the　dynamic　characteristics　of　parallel　VSGs　with　the　consensus　control.　Aiming　at　this　problem,　the　small　signal　state　space　model　of　parallel　VSG　with　consensus　based　secondary　control　is　established　in　this　paper　firstly.　Then　the　influences　of　damping,　inertia,　secondary　control　parameters　on　dynamic　response　are　analyzed,　and　the　design　criterion　of　secondary　control　parameters　is　proposed.　Finally,　the　simulation　results　verify　the　accuracy　of　model　and　correctness　of　conclusions.　©　2020　The　Authors