I am trying to get a optimization model to work correctly. The background is to use the solver to find a circuit (AC or DC) that would minimize cost. I am trying to use binary variables so the circuits (decision variables) can only use one decision variables (either AC or DC)
The issue seems to be that I am multiplying the decision variables by the binary variables. Which makes it non-linear and IT HAS TO BE linear. However it does not work correctly when using the non-linear method as well
Any help is greatly appreciated Attached is my hand written formulation
Looking to know if this is a math error on my part or an error with the excel solver enter image description here
Your big-M constraints $(2)$ already enforce $Y_i = 0 \implies D_i = 0$, so you can replace $D_i Y_i$ with just $D_i$ in $(1)$. Similar story for $A_i$ and $v_i$, but you should have written $A_i \le M v_i$ in $(2)$.