By Lynn Powell
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Extra info for Power System Load Flow Analysis
Example text
6), the basis for all load-flow analysis techniques: n Ik = L l'k/\tj' k = 2, 3, . . ,n (4. 1) j=l and k Substituting for Ik in Eq. = 2, 3, . . 1), k = 2, 3, . . ,n 29 30 Chapter Four which may be expanded as k = 2, 3, ... 3) Equation = 2, 3, ... 3) forms the basis for an iterative solution for the kth busbar voltage and, by extension, for all busbar voltages. It relies on calculating new values for all voltages using Eq. 3) before replacing old values of voltage with the newly calculated ones.
1), k = 2, 3, . . ,n 29 30 Chapter Four which may be expanded as k = 2, 3, ... 3) Equation = 2, 3, ... 3) forms the basis for an iterative solution for the kth busbar voltage and, by extension, for all busbar voltages. It relies on calculating new values for all voltages using Eq. 3) before replacing old values of voltage with the newly calculated ones. __ Yi kk { s; v; *(i) k .
This acceleration process is achieved by using a suitably chosen celeration factor a ac to modify the voltages, thus Vk��:iD) = (new) _ a "k ( a_ l)Vk(old) (old) + v; (old) k (o d) ew) (n l +a ( = Vk Vk(old)) Vk a v; (new) a v; k k _ - Clearly, for a unity acceleration factor, there is no change between and "knew. Vk01d This modification is applied immediately each busbar voltage is cal culated, so that an accelerated value is carried forward into the compu tations for the next busbar. 2 Successive Voltages Calculated During Gauss-Seidel Iterative Method Busbarvoltages Iteration no.