Koshelev antenna is a device with a complex structure: it is an traveling-wave antenna, an electrical monopole and a loop antenna. The antenna is intended for the radiation of short pulses of high power and rise time up to several picoseconds. The design of the antenna is briefly described in the literature; in particular, it is not known how the construction parameters of the antenna affect its basic purpose. The article discusses the operation of a single Koshelev antenna and a system consisting of several such antennas with narrow-band excitation. It shows how the radiation changes in the case of a system of several identical elements. It seems that the array of the same elements can radiate a lobe with an angle of several degrees only.