A fast power flow method for radial networks with linear storage and no matrix inversions

Explicit Conditions on Existence and Uniqueness of Load-Flow Solutions in Distribution Networks

“…The theory proposed here shares some similarities with the fixed point load-flow methods established in [12], [13] and [14]. But, the method in [12] is a special case of this paper.…”

“…In fact, the first attempt of applying fixed point theorem to power systems dates back to [11], which focused on the study of convergence property of the Newton method. For the latest research, in [12], an efficient fixed point load-flow method is presented for radial distribution networks, but there is no further discussion about the convergence and solvability. Later, in [13], another form of fixed point load-flow method is proposed for distribution network with single slack bus.…”

“…But, the method in [12] is a special case of this paper. Furthermore, the sufficient conditions in this paper are more general than the conditions in [13] and [14], and thus improve these results.…”

“…For radial distribution networks, a similar decomposition is given in [12] by exploiting the grid structure from a graph-theoretic perspective. Such decomposition guarantees O(N ) computational complexity for these cases under proper hypothesis.…”

“…But for networks where the decomposition in [12] applies, this complexity can be reduced to O(N ) by only computing and comparing the rows that correspond to leaf nodes.…”