Nonlinear problem of spatial aeroelastic vibrations of iced conductor is considered [1-5]. It is assumed that the vibrations occur relative to the initial deflection caused by gravity and wind flow. The conductor tensile strain is determined by quadratic approximation in dependence on its transverse displacements and is considered constant as well. Transverse displacement and angle of torsion are presented in the form of the trigonometric sine expansions. The expansions coefficients with integer number of loops per span are considered as generalized coordinates. General equations of the conductor motion and the linearized equations for small aeroelastic vibrations around the static equilibrium position are obtained in the generalized coordinates with nonlinear elastic, inertial and aerodynamic forces. The linearized equations allow determining the critical speed of the conductor flutter.