MATPOWER does not currently include an option for that objective function, but 
it should be straightforward to implement an extension to do it. With MATPOWER 
7, I believe you should be able to do it with the standard quadratic costs in 
(6.47) in the User’s Manual <https://matpower.org/docs/MATPOWER-manual-7.0.pdf>.

   Ray


> On Jun 17, 2019, at 5:43 AM, [email protected] wrote:
> 
> Dear All,
>  
>  
> I am currently working on extensions of OPF problem and got one question.
>  
> Could you please advise  if Matpower provides any possibility for easy coding 
> of “least squares” OPF problems of the following form:
>  
> Minimize   sum( (P_setpoint^i – P_G^i)^2+(Q_setpoint^i – Q_G^i)^2)
>  
> Subject to:   standard OPF constraints
>  
> Where: 
> - P_setpoint^i / Q_setpoint^i is the desired output of active/reactive power 
> of generator “i” (parameter known a priori)
> - P_G^i / Q_G^i  - output of generator “i” (variables)
>  
> I am looking forward to your reply.
>  
>  
> Best regards,
> Mariusz Drabecki
> 
>  
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