Dear Ray;

   I am a Ph.D. student working on power system optimization and have
been matpower to solve optimal power flow problems recently. However,
I got the following questions when I was running the algorithm:

   1. In Newton's step, we need to solve a set of equations Ax = b. I
found that the condition number of matrix A is very large (about 1e8).
Thus, A is ill-conditioned. I was wondering why Newton's method can
still get good numerical performance even when the equation Ax = b is
ill-conditioned. Is 1e8 an acceptable condition number for Newton's
method?

   2. Is there any approach to solve the ill-condition problem of
Newton's method when solving AC-OPF?

    Thank you for your time and consideration.
-- 
Min ZHOU
School of Data Science
City University of Hong Kong

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