Abstract: There is presently a growing demand for CW high current proton and deuteron linear accelerators based on superconducting technology to better support various fields of science. Up to now, high order modes (HOMs) studies induced by ion beams with current higher than 10 mA and even 100 mA accelerated by low non-elliptical superconducting RF (SRF) cavities are very few. Peking University has recently designed and fabricated a =0.09, 162.5 MHz half wave resonator(HWR) cavity to study the key physics problems in low beta HWR cavity accelerating beam with current of about 100 mA. This paper focuses on the study of the HOM-induced power in this cavity. The incoherent beam energy loss induced by 100 mA beam through the HWR SRF cavity were obtained by both time domain solver and frequency domain eigenmodes spectrum method. The possibility of coherent excitation of this cavity considering manufacture errors was also analysed.