Dear Matpower community,

I was doing some interpretation for pattern of Lagrange multiplier
correspond to Qg limits on case5.m.

I have done some modification on the network which are as follows:

m = loadcase(case5);
m.bus(:,[3,4]) = m.bus(:,[3,4])*0.65;
m.bus(:,[4]) = m.bus(:,[4])*-2;
r = runopf(m);

With the above modification, I get the following result for reactive power
limit of generator at bus 4.

Gen   Bus                 Reactive Power Limits
  #     #     Qmin mu     Qmin       Qg       Qmax    Qmax mu
----  -----   -------   --------  --------  --------  -------
   4     4      0.001   -150.00   -145.20    150.00      -

>From the above result, Qg(=-145.20)  is still within its limits [-150,150].
My understanding of Lagrange multiplier is that it remains zero for the
inequality constraint that is < or > 0. Its value will be non-zero only if
the inequality constraint is = 0. Although, the Qmin mu(=0.001) is small,
however, Qg is 4.8 off from its lower bound.

Am I missing some obvious link here?

Thank you in advance.

Best regards,
Deep Kiran
Research Scholar,
IIT Delhi,
India

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