A cutset area concept for phasor monitoring

New angles for monitoring areas

“…Cutset area angles were invented in 2009, developed from first principles in [1], and illustrated in [2]. Here we significantly extend this previous work and generalize the angles across cutset areas to angles across more general areas of the power system that need not be cutset areas.…”

“…The new concepts are derived as a non-standard instance of general circuit theory. In [2], we further develop and illustrate the cutset area and the monitoring of the cutset area angle. Although the cutset angle and cutset area angle concepts are simple, we have not yet found any previous literature defining or using these concepts.…”

“…Although the cutset angle and cutset area angle concepts are simple, we have not yet found any previous literature defining or using these concepts. This paper significantly generalizes the cutset area of [1,2], particularly in not requiring the area to separate the power system.…”

“…Then the area between M a and M b is called a cutset area [2]. In this subsection, we consider a case slightly more general than a cutset area in which at least one of M a or M b is a nodal cutset.…”

“…One extreme example of both a cutset area (see [2]) and a case with M not a nodal cutset can often arise in the case of M a a single bus and M b a single bus. In this case, the anglê θ ab across the entire network is simply the angle difference between the two buses.…”