Application of high temperature superconducting devices become promising in power networks, and transportation, including ship, train and electric aircraft propulsion systems, with the advantages of light weight, compact size, and high efficiency, compared to conventional devices. In reality, electric networkseither in grid or transportation propulsion system -are polluted with harmonics due to the widespread use of power electronic devices and nonlinear loads. It is essential to explore the dependency of harmonic AC losses of different coil configurations carrying non-sinusoidal current. We modelled and compared harmonic AC loss behaviors in three coil configurations, single pancake coil (SPC), double pancake coil (DPC) and solenoid coil (SNC), where SPC and SNC are wound by identical wire length and DPC has twice conductor number compared to SPC. The research work has been carried out by means of H-formulation finite element method in a 2D axisymmetric modelling environment of COMSOL Multiphysics. We explored and reported AC losses in these three coil structures carrying nonsinusoidal current with the 3 rd and the 5 th harmonic orders, respectively, under different total harmonic distortion (THD) and fundamental current levels. It has been concluded that AC loss in these coils firstly decreases with the increase of the 3 rd harmonic content, when THD of the 3 rd harmonic < 0.2; and increase with the increase of the 3 rd harmonic when THD >0.2. AC loss in coils monotonically increases with the increase of the 5 th harmonic, drastically. We found that AC loss in SPC carrying the 3 rd harmonic and the 5 th harmonic at different THD are more than 3.8 times of that in DPC; AC loss in SPC carrying either 3 rd or 5 th harmonics at different THD are around 4.5 times of that in SNC.