<P> The solution requires mathematical formulation and numerical solution . Since load flow problems generate non-linear equations that computers cannot solve quickly, numerical methods are required . The following methods are commonly used algorithms: </P> <Ol> <Li> Gauss Iterative Method - V i = 1 Y i i (P i − j Q i V i − ∑ k = 1 n Y i k V i k) (\ displaystyle V_ (i) = (1 \ over Y_ (ii)) ((P_ (i) - jQ_ (i) \ over V_ (i)) - \ sum _ (k = 1) ^ (n) Y_ (ik) V_ (ik))) </Li> <Li> Fast Decoupled Load Flow Method </Li> <Li> Gauss - Seidel Method </Li> <Li> Newton - Raphson Method </Li> </Ol> <Li> Gauss Iterative Method - V i = 1 Y i i (P i − j Q i V i − ∑ k = 1 n Y i k V i k) (\ displaystyle V_ (i) = (1 \ over Y_ (ii)) ((P_ (i) - jQ_ (i) \ over V_ (i)) - \ sum _ (k = 1) ^ (n) Y_ (ik) V_ (ik))) </Li> <Li> Fast Decoupled Load Flow Method </Li>

Why pv bus is treated as pq bus