“…This paper briefly outlines the essential characteristics and the upgrades to the TEAM Problem 21 Family (since 1993), refers to its V.2009 in some detail (Cheng et al, 2009a(Cheng et al, , 2009b(Cheng et al, , 2009c and emphasizes the combination of high-performance analysis methods with advanced material property modeling. For an in-depth investigation of the stray-field loss under harmonics-direct current (HDC) hybrid excitations, a new member-set (P21 e ) of Problem 21 Family is proposed based on the relevant research works that have been conducted recently by our international co-research team (Cheng et al, 2010(Cheng et al, , 2012(Cheng et al, , 2014(Cheng et al, , 2017(Cheng et al, , 2020Zheng and Cheng, 2012;Wang et al, 2013;Zhao et al, 2017Zhao et al, , 2020.…”