The numerical divergence could also possibly be due to the infeasibility of the 
problem. Can you try relaxing some of the constraints (especially the voltage 
magnitude constraints) and see if the OPF converges?

Switching to another solver is also an option. See the list of available 
optimization packages that MATPOWER supports here 
http://www.pserc.cornell.edu//matpower/#optionalpackages

These archive threads may be relevant for your problem.
http://www.mail-archive.com/[email protected]/msg02915.html
http://www.mail-archive.com/[email protected]/msg01298.html

Shri

From: Angelina <[email protected]<mailto:[email protected]>>
Reply-To: MATPOWER discussion forum 
<[email protected]<mailto:[email protected]>>
Date: Wed, 29 Jan 2014 15:35:23 +0000
To: MATPOWER discussion forum 
<[email protected]<mailto:[email protected]>>
Subject: numerically failed opf

Dear Dr Zimmerman,
I am trying to solve an ac  opf with the mips solver (560) in a lightly meshed 
6.6 kV distribution system of 32 branches. The range for the reactances is 
[0.05-1.9 pu], whereas some of them have almost negligible values. When I am 
solving the simple ac power flow the problem converges with no problems to be 
appeared. However, when I am trying to solve the same problem with optimal 
power flow, assigning some costs to the generators,  the ac opf fails 
numerically or the message ‘ the matrix is singular to working precision, the 
results may be inaccurate’ appears.
I suspect that the problem is the solver. Could you recommend me another solver 
to use?
Any guidance would be appreciated.
Kind Regards,
Angelina

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