Hi Jin,
I couldn’t understand the issue you reported. But according to my knowledge, 
MATPOWER gives you the final price at the node, it doesn’t calculate individual 
congestion, loss, energy components.
Moreover, for ACOPF, MATPOWER gives you and active ($/MW) and reactive power 
($/MVar) marginal prices at respective nodes.
Hope it helps.

From: [email protected] 
[mailto:[email protected]] On Behalf Of Ma Jin
Sent: Wednesday, 11 April, 2018 8:04 AM
To: [email protected]
Subject: Question about shadow price of line flow constraints in AC OPF

Dear all,

I feel confused about the unit of the shadow price of the line flow constraints 
in AC based OPF. Since the square of the apparent power is used when building 
the line flow constraints, the shadow price should be with a unit of 
$/(MVA*MVA). When it is converted to the shadow price $/MVA, MatPower times the 
RateA of that line, but for me, it more makes sense if it is multiplied with 
the apparent power flowing through the line. What is the reason behind 
multiplying that RateA. Thanks!

Kind regards,
Jin

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