d2ASbr_dV2(dSbr_dVa,
dSbr_dVm,
Sbr,
Cbr,
Ybr,
V,
lam)
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Computes 2nd derivatives of |complex power flow|**2 w.r.t. V.
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 square of the magnitude of branch complex
power flows. Takes sparse first derivative matrices of complex flow,
complex flow vector, 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
See Also:
dSbr_dV
- Authors:
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Ray Zimmerman (PSERC Cornell),
Richard Lincoln
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