Jf. Chen et Wm. Wang, STABILITY LIMIT AND UNIQUENESS OF VOLTAGE SOLUTIONS FOR RADIAL POWER NETWORKS, Electric machines and power systems, 25(3), 1997, pp. 247-261
The planning and operation of a distribution system depend heavily on
the load flow solutions obtained. In this paper, the uniqueness of fea
sible voltage solution and its stability limit of radial distribution
networks is analyzed. The DistFlow method is employed to find the load
flow solutions for radial power networks. By using this method, an eq
uivalent 2-bus network can be obtained during the solving process. It
is proposed that only one feasible voltage solution exists for a radia
l power network. Moreover, the feasibility can be judged directly from
the sign of the Jacobian determinant of the equivalent 2-bus network
obtained. A 22-bus practical system was tested to justify the approach
.