I. Introduction
Controlled reach is the key attribute of a distance element applied for short-circuit protection of power lines. Using only local voltages and currents, a distance element responds to faults located within a predetermined reach explicitly set by the user. Moreover, the reach is specified in units proportional to the physical distance to the fault, hence the element's name. Ideally, the element's actual reach is independent of the fault current level, pre-fault load, fault type, or fault resistance. In practice, these factors affect fault coverage, but only slightly compared with that of an overcurrent element.