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Computes 2nd derivatives of complex power flow w.r.t. voltage.
Returns 4 matrices containing the partial derivatives w.r.t. voltage
angle and magnitude of the product of a vector lam with the
1st partial derivatives of the complex branch power flows. Takes sparse
connection matrix Cbr, sparse branch admittance matrix
Ybr, voltage vector V and nl x 1
vector of multipliers lam. Output matrices are sparse.
For more details on the derivations behind the derivative code used in
PYPOWER information, see:
[TN2] R. D. Zimmerman, "AC Power Flows, Generalized OPF Costs
and their Derivatives using Complex Matrix Notation", MATPOWER
Technical Note 2, February 2010. http://www.pserc.cornell.edu/matpower/TN2-OPF-Derivatives.pdf
- Authors:
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Ray Zimmerman (PSERC Cornell),
Richard Lincoln
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