The　current　harmonic　state　estimation　mostly　uses　the　synchronous　phasor　measurement　data,　but　due　to　the　large　data　acquisition　cost,　it　is　difficult　to　meet　the　observability　requirements　of　the　harmonic　state　estimation.　Relatively　speaking,　the　power　quality　observer,　which　is　less　expensive　and　convenient　for　large-scale　deployment,　is　easier　to　meet　the　observability　requirements　of　the　harmonic　state　estimation.　However,　this　traditional　deterministic　harmonic　state　estimation　is　low　in　accuracy.　Therefore,　based　on　the　asynchronous　harmonic　monitoring　data,　a　robust　dynamic　harmonic　state　estimation　is　proposed　in　this　paper.　Firstly,　an　interval　dynamic　harmonic　state　estimation　model　considering　the　uncertainty　of　the　harmonic　state　is　constructed.　The　asynchronous　harmonic　monitoring　data　are　processed　by　means　of　the　phase　angle　synchronization　to　obtain　the　starting　value　of　the　model.　Then,　an　extended　interval　Kalman　filter　algorithm　is　proposed　combining　the　interval　Taylor　expansion　and　the　upper　bound　optimization　to　reduce　the　conservation　of　the　interval　harmonic　state.　At　the　same　time,　a　gain　matrix　adaptive　adjustment　based　on　the　robust　factor　is　used　to　eliminate　the　influence　of　the　bad　data　on　the　accuracy　of　the　state　estimation.　Finally,　an　example　in　the　IEEE57　bus　system　is　tested　to　verify　the　feasibility　and　effectiveness　of　the　proposed　method.　©　2023　Power　System　Technology　Press.　All　rights　reserved.