I. Introduction
Integration of distributed energy resources (DERs) into distribution systems has become a prevailing trend to cope with the growing concerns of environmental problems [1]. The structure and characteristics of systems are changed with the increase of DER capacities, probably causing traditional protection schemes to lose their reliability [2]. High impedance fault (HIF) is a challenging fault type in the medium-voltage (MV) distribution network, and protection schemes for them have been studied for forty years but are still not well solved [3]. Generally, HIFs are regarded as single-line-to-ground faults as they occupy the vast majority in practice. They occur in the form of a line coming into contact with a high impedance ground surface or tree and forming a dielectric breakdown (arc). Several forest fires recently happening in Australia (2009), the United States (2018), and China (2020) [4], [5] have been demonstrated to result from HIFs and caused significant damage. In a DER-integrated distribution system, the weak HIF features will be further complicated, and badly needed to develop more reliable HIF protection methods considering such scenarios.