Calculation of Traveling Waves on Single-Conductor Cable Circuit with Cross-Bonding

It is well known that when traveling waves invade a single-conductor cable whose sheath is cross-bonded, a rather high voltage is induced on the sheath circuit. Of the several experimental and theoretical examinations of this subject, most theories to date are constructed upon an idea of surge impedance. In the case of a cable circuit consisting of a conductor and sheath, this approach is imperfect since surge impedance cannot be easily defined. Using Hayashi's method, it is shown that the problem of propagation, reflection, and refraction can be uniformly calculated without employing a concept of surge impedance, and that multiple velocity waves exist on both conductor and sheath.