|
Computes 2nd derivatives of power injection 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 bus power injections. Takes sparse
bus admittance matrix Ybus, voltage vector V
and nb 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:
-
Ray Zimmerman (PSERC Cornell),
Richard Lincoln
|