“…In particular, (2) ensures that in each phase, ϕ, the total amount of injected active power at node i, P ϕ gi , is equal to the node's total active power demand, P ϕ ci , and the total active power flow exiting the node, P ϕ i . The same rule applies for reactive power, as presented in (3), where Q ϕ gi is the total amount of injected reactive power at node i, Q ϕ ci is the total reactive power demand at node i and Q ϕ i is the total reactive power flow exiting the node i . Furthermore, the voltage magnitude of each node, i, in each phase, ϕ, V ϕ i , is limited by (4), where V ϕ min,i and V ϕ max,i constitute the lower and upper boundaries, respectively.…”