Calculation of optimal coefficient - function of function

camlrc

New Member
Joined
Mar 14, 2023
Messages
2
Office Version
  1. 365
Platform
  1. Windows
Hello, I contact you because I have some concerns about the calculation of an optimal coefficient. I join you the document opposite because it seems to me that it will be for you simpler to follow my concern in this way.

I explain you: CARPmax;Pmax and CARPmin;Pmin are two couple of points which form me a line of affine of equation :

CAR=(((CARPmax-CARPmin)*(P-Pmax))/(Pmax-Pmin))+CARPmax. So for a given power P, I naturally have my CAR.

I now want to know how to distribute this power on two identical machines to obtain the best global CAR for a given power requirement Pnéc.

So we will have a first machine with a Power Distribution 1 with a Power equal to x*P with x a coefficient between 0 and 1.

On the other hand, we have the second machine which works in addition with a power Distribution Power 2 equal to (1-x)*P.

Each machine has therefore at this given power, a CAR that corresponds to it (calculated with the affine function seen previously).

I am looking for the optimal value of x to have the maximum CAR which is calculated as follows:

(CAR distribution P1*DistributionP1+CAR distribution P2*Distribution P2)/Pnéc and I don't know how to do it :(

I thank you in advance for your precious expertise :) :)

Test3.xlsx
ABCDEFGHIJ
1PmaxCARPmaxPminCARPminPnécDistributionP1Distribution P2CAR Distribution P1CAR Distribution P2CARopt
2P1C1P2C2Px*P(1-x)*PCAR(x*P)CAR((1-x)*P)(CAR Distribution P1*DistributionP1+CAR Distribution P2*Distribution P2)/Pnéc
3P3C3P4C4P'x'*P'
4P5C5P6C6P''x"*P"
5P7C7P8C8P'''x"'*P"'
6P9C9P10C10P""x'"'*P"''
7P11C11P12C12P""'x'''''*P'''''
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Hello, thank you for your message, it will not happen again :)
 
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