Dear Matpower community,

I’m working on modulation of electric vehicle charging points connected to a 
distribution grid. My first aim is to guarantee the maximum available power for 
every charging station in a range between 43 and 129 kW. To implement this 
target the cost function for every charging point (that is modeled as a 
dispatchable load) should be decreasing with the power available to the 
charging point. 

My second target is to try to  nullify  the reverse power flow from the 
distribution grid to the HV network. While doct. Zimmerman suggested to put a 
cost on the primary substation with the procedure explained here 
https://www.mail-archive.com/[email protected]/msg03440.html 
<https://www.mail-archive.com/[email protected]/msg03440.html>, I found 
easier and effective for the network I’m studying to add a constraint on the 
the slack bus with Pg>0 and a constant generator cost which value is:

COSTslack = n*f(129) 

where n is the number of charging point and f the cost function of the single 
charging station.

I would like to know if there is a way to guarantee with this cost functions 
that this solution is also the one with the minimum losses. I read the F.A.Q. 
on the subject and it states to put the same constant gencost on all the 
generators, so in my case I have to put the same costant gencost on the slack 
bus and on the charging points but doing so the maximum available power to the 
stations won’t be guaranteed. 

Any suggestions?

Simone

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