I may have been confused about what you were trying to accomplish. I thought 
you had a single OPF problem, where your decision variables are voltages and 
generator injections, and you wanted to optimize two objectives, losses and 
social welfare. That's a single optimization problem with multiple objectives.

Now it sounds like maybe you were referring to a multi-level optimization 
problem where an inner loop solves an OPF (maximize social welfare using 
voltages and generator injections) and an outer loop (minimize loss, maximize 
NPV or DG dev profits) where there is some sort of investment decision variable 
or something.

If this is the case, you should be able to use MATPOWER to solve the inner 
loop, but you'll have to come up with your own algorithm to solve the outer 
loop.

-- 
Ray Zimmerman
Senior Research Associate
419A Warren Hall, Cornell University, Ithaca, NY 14853
phone: (607) 255-9645




On Dec 12, 2012, at 1:30 PM, Carlos Gonzalez Almeida 
<[email protected]> wrote:

> Thanks. In the case when we have, for instance, Net Present Value 
> Maximization instead of loss minimization, how can I solve?
> 
>> Maximize Net Present Value or maximize Profit of DG developers 
>> 
>>     Subject to 
>> 
>>              Maximize Social Welfare
>> 
>>             Subject to 
>>                               Network Constraints
> 
> 

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