Sorry for the delay in replying.

Just to clarify, the continuation power does not stop ‘exactly’ at the nose 
point, but pretty close it. The condition for detecting nose point in runcpf is 
"lam < lamprv" (line 303 in runcpf), i.e., lambda at the current continuation 
step is less than lambda at previous step. So, runcpf actually gives a close 
estimate of the nose point which can be improved by reducing the continuation 
step size, mpoption(‘cpf.step’,<stepsize>). However, I do not think you can 
calculate an exact zero determinant in MATLAB for the power flow partly because 
of the way MATLAB calculates the determinant (pivoted LU factorization) and the 
ill-conditioning of the Jacobian near the nose point.

Shri

From: nilesh patel <[email protected]<mailto:[email protected]>>
Reply-To: MATPOWER discussion forum 
<[email protected]<mailto:[email protected]>>
Date: Tuesday, August 18, 2015 at 12:29 PM
To: matpower-l 
<[email protected]<mailto:[email protected]>>, MATPOWER-L 
<[email protected]<mailto:[email protected]>>
Subject: Jacobian at nose point

Sir,
At nose point in P-V curve using cpf,  Jacobian matrix becomes singular. i.e. 
determinant of Jacobian to be zero.
I am getting very high negative value of determinant  of jacobian at nose 
point. I have used following code:

define_constants;
 mpopt = mpoption('out.all',0,'verbose',2,'out.bus',1);
 mpopt = mpoption(mpopt,'cpf.stop_at','nose','cpf.step',0.03);
 mpopt = mpoption(mpopt,'cpf.plot.bus',7,'cpf.plot.level',2);
 mpcb = loadcase('case39'); % load base case
 mpct = mpcb; % set up target case with
 mpct.gen(:,[PG QG]) = mpcb.gen(:,[PG QG])*1.35
 mpct.bus(:,[PD QD]) = mpcb.bus(:,[PD QD])*1.35
 results = runcpf(mpcb, mpct, mpopt);
 J=makeJac(results)

%%% determinant of J
det(J)

ans =

 -1.0471e+126

Could you please suggest me what necessary steps I should follow to get 
determinant zero?

Thanking you.

Nilesh Patel

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