Yes, the lambdas are the locational marginal prices. And the user-defined costs 
and constraints are added to the standard OPF formulation (see Section 6.3 in 
the User’s Manual 
<http://www.pserc.cornell.edu/matpower/docs/MATPOWER-manual-5.1.pdf>), so it is 
optimized together with the user costs added to the fuel costs.

    Ray




> On Mar 25, 2016, at 11:07 AM, Saiful Arefin <[email protected]> wrote:
> 
> Hello everyone,
> 
> I am a bit confused about the lamda value that results from running an opf. 
> Are these results the locational marginal prices for the buses? 
> 
> Can you also tell me when a user added function is optimized. Is it optimized 
> alongside the fuel costs or are the processes two different optimizations?
> 
> Thank you,
> Saiful Ratul

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