With　the　rapid　changes　in　the　actual　power　system　operation　mode,　power　system　wide　area　real　time　state　estimation　based　on　phasor　measurement　unit　(PMU)　plays　an　increasingly　important　role　in　energy　management　system　(EMS).　However,　complex　distribution　characteristics　of　PMU　measurement　error　pose　challenges　to　the　accuracy　of　state　estimation.　Therefore,　a　state　estimation　method　combining　PMU　linear　measurement　model　and　linear　Bayesian　estimation　is　proposed.　Considering　the　prior　information　of　estimated　parameters　and　the　complex　probability　density　function　of　measurement　error,　linear　Bayesian　estimation　is　applied　to　power　system　state　estimation　based　on　PMU.　The　correlation　between　real　measurement　error　and　imaginary　measurement　error　is　analyzed,　and　the　prior　information　of　estimated　parameters　is　obtained　according　to　the　analysis　of　system　state　volatility.　Compared　with　complex　number　least　squares　(CLS)　method,　the　applicability　and　accuracy　of　this　method　were　verified　in　IEEE　39　bus　system.　©　2021　IEEE.