Module opf_hessfcn

Evaluates Hessian of Lagrangian for AC OPF.

Hessian evaluation function for AC optimal power flow, suitable for use with pips.

Examples:

   Lxx = opf_hessfcn(x, lmbda, om, Ybus, Yf, Yt, ppopt)
   Lxx = opf_hessfcn(x, lmbda, om, Ybus, Yf, Yt, ppopt, il)
   Lxx = opf_hessfcn(x, lmbda, om, Ybus, Yf, Yt, ppopt, il, cost_mult)

Parameters:

• x - optimization vector
• lmbda - eqnonlin - Lagrange multipliers on power balance equations. ineqnonlin - Kuhn-Tucker multipliers on constrained branch flows.
• om - OPF model object
• Ybus - bus admittance matrix
• Yf - admittance matrix for "from" end of constrained branches
• Yt - admittance matrix for "to" end of constrained branches
• ppopt - PYPOWER options vector
• il - (optional) vector of branch indices corresponding to branches with flow limits (all others are assumed to be unconstrained). The default is range(nl) (all branches). Yf and Yt contain only the rows corresponding to il.
• cost_mult - (optional) Scale factor to be applied to the cost (default = 1).

Returns:

Hessian of the Lagrangian.