def d2ASbr_dV2(self, dSbr_dVa, dSbr_dVm, Sbr, Cbr, Ybr, V, lam):
        """ Based on d2ASbr_dV2.m from MATPOWER by Ray Zimmerman, developed
        at PSERC Cornell. See U{http://www.pserc.cornell.edu/matpower/} for
        more information.

        @rtype: tuple
        @return: The 2nd derivatives of |complex power flow|**2 w.r.t. V.
        """
        il = range(len(lam))

        diaglam = csr_matrix((lam, (il, il)))
        diagSbr_conj = csr_matrix((Sbr.conj(), (il, il)))

        Saa, Sav, Sva, Svv = self.d2Sbr_dV2(Cbr, Ybr, V, diagSbr_conj * lam)

        Haa = 2 * ( Saa + dSbr_dVa.T * diaglam * dSbr_dVa.conj() ).real
        Hva = 2 * ( Sva + dSbr_dVm.T * diaglam * dSbr_dVa.conj() ).real
        Hav = 2 * ( Sav + dSbr_dVa.T * diaglam * dSbr_dVm.conj() ).real
        Hvv = 2 * ( Svv + dSbr_dVm.T * diaglam * dSbr_dVm.conj() ).real

        return Haa, Hav, Hva, Hvv