I’m not sure what you mean by “completely non-convex”, but yes, you can use 
LAM_P as the LMP. It is simply the sensitivity of overall objective function to 
a change in the load at the bus. Of course this is at the OPF solution, which 
in a non-convex problem is not guaranteed to be a global solution.

    Ray


> On Mar 25, 2016, at 5:46 AM, [email protected] wrote:
> 
> Hi,
> 
> I want to run an AC optimal power flow with fixed zonal reserves and
> co-optimize reserves and energy via using MATPOWER5.1. RUNOPF_W_RES. I
> have a question about obtaining locational marginal price (LMP).
> As this problem used in MATOPWER is completely non-convex, is it valid to
> take Lagrangian from the non-convex problem?
> In user's manual, it is stated that Lam_P is Lagrange multiplier on
> real power mismatch.
> Can I use Lam_P as LMP?
> 
> I would appreciate if you help me.
> 
> Best Regards

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