Yes. I suspect that the convergence issues are related to your non-convex cost 
function (i.e. a < 0).

-- 
Ray Zimmerman
Senior Research Associate
B30 Warren Hall, Cornell University, Ithaca, NY 14853
phone: (607) 255-9645





On Jul 3, 2013, at 3:57 AM, Julian dB <[email protected]> wrote:

> Hi,
>  
> I am currently working with a model of a 1000+ bus transmission network.
> I wanted to implement the dropping efficiency factor of power plants when 
> working under off-nominal conditions. Therefore i tried altering the cost 
> function, but with that my opf doesn't converge anymore, which I can't 
> explain.
>  
> Here's what I did:
> I assigned each power plant a quadratic polynomial cost function (ax² + bx 
> +c).
> a = - 1 * (costs at nominal power output) / (nominal power output)²;
> b = 2 * (costs at nominal power output) / (nominal power output);
> c = 0.
> So basically a function with its apex above the nominal power output, sloping 
> down to 0 towards the origin.
>  
> Does someone have an idea, why the opf stopped converging? Or what i could do 
> differently?
>  
> I also unsuccesfully tried using the solver IPOpt.
> And I tried using a piecewise linear cost function instead looking 
> approximately the same as the quadratic function. With this function the opf 
> did converge but not to a feasible solution. At least for this case I think 
> it doesn't work because the shape of the function is not "convex" as 
> described in the manual.
>  
> I would be grateful for any help, regards
> Julian B.

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