Page 45 - Analysis Report of Global Market in the Submarine Cable Field (2017)
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Spiral winding angle is generally less than 30°. But for the flexible HVDC   3.3  Bending performance design
          submarine cable, the limitation of its structure, performance and the   The flexible HVDC cable subjected to bending load frequently during
          production process, adopt a diameter of 6 mm galvanized steel wire   operation, it needs good bending flexibility, the bending performance
          armored for the conventional elastic modulus of 200 GPa, the number   design is very important. In order to improve the performance of the
          of galvanized steel wire 75 and spiral armoring is one layer, which makes   whole cable bending, the following points in bending performance
          the type (2) tensile design parameters can be adjusted the only armored   design should be considered: a. Internal metal conductor to be spiral.
          spiral angle. Formula 2 shows the flexible HVDC cable sheath (diameter   b., The outer armored wire layer of armored spiral angle can not be too
          6 mm galvanized steel wire armored layer 75 elastic modulus is 200 GPa)   small. In order to make the tensile reinforced flexible HVDC submarine
          change of tensile stiffness with armored helix angle curve. Final steel   cable design to meet the design index of bending performance. Using the
          wire armored spiral angle is 18.6° can obtain the cable tensile stiffness   following formula to design flexible HVDC cable armoring layer flexural
          550 MN, which meet the design requirements of the tensile performance   rigidity Kb,a,
          of flexible HVDC submarine cable.
          Figure 2 Tensile rigidity of armoring layer with the helix angle Change
          curve                                                  In formula (4) The unit of Kb,a is kN•m , I i  is the moment inertia of the
                                                                                               2
                                                                 single spiral armored steel wire layer i and vi is the flexural cross section
                                                                 coefficient of the single spiral armored steel wire of layer i.

                                                                 It is limited by its structure, properties and production process, the
                                                                 flexible HVDC cable armoring layer determined use diameter 6 mm
                                                                 galvanized steel wire 75 elastic modulus of 200 GPa one armor layer,
                                                                 which makes the formula (4) bending design parameters can be adjusted
                                                                 only armored spiral angle. Fig. 4 shows the curve of the bending stiffness
                                                                 with the spiral angle of the armor on the basis of meeting the design
                                                                 of tensile stiffness (i.e., the extent of the sheath helix angle at 10°~30°).
                                                                 Final steel wire armored spiral angle of 18.6°, can obtain the cable
                                                                 bending stiffness is 30.5 kN•m2, which can meet the design requirements
                              armoured spiral angle              of the bending performance of flexible HVDC submarine cable.
          3.2  Design of torsion resistance                      Figure 4  Curve of bending rigidity of armored layer with spiral angle
          The flexible HVDC submarine cable is easily subjected to torsion
          load during operation, the torsional angle is large, so the torsion
          resistance design is very important. The armored layer of the
          flexible HVDC cable can not only provide tensile ability, but also
          can provide the ability of anti torsion. Using the following formula
          design flexible HVDC cable armoring layer torsional stiffness Kn,a,

                                                                               (3)
                                         2
          In formula (3): The unit of K na  is kN•m     J c G c  means overall
          torsional rigidity of center cable core.
          It is limited by its structure, properties and production process, the
          flexible HVDC cable armoring layer determined use diameter 6
          mm galvanized steel wire 75 elastic modulus of 200 GPa one armor
          layer, which makes the formula (3) torsional design parameters can            armoured spiral angle
          be adjusted only armored spiral angle. Fig. 3 shows a curve of the   3.4  Minimum breaking force design
          torsional rigidity varying with the spiral angle of the armor on the   In accordance with the provisions of the ISO 13628-5 3.1.32 the standard
          basis of the design satisfying the tensile stiffness (i.e., the extent of   armored units in the non bending stress failure criterion for failure of
          the sheath helix angle at 10°~30°). Final steel wire armored spiral   DC submarine cable structure, the flexible HVDC submarine cable
          angle is 18.6° can obtain the cable torsional stiffness 290 kN•m2,   minimum breaking force (tensile strength) design value should sum can
          which is meet the requirements of torsion resistance design of   withstand the maximum tensile force of each steel wire armored. Using
          flexible HVDC submarine cable.                         the following formula to design flexible HVDC submarine cable tensile
                                                                 force Fb,
          Figure 3  Curves of torsion stiffness of armored layer with screw angle


                                                                 In formula (5) Fb is the minimum breaking force of armored steel
                                                                 wire, kN, and σsi is the yield strength of layer i steel wire. According
                                                                 to the determined by tensile and torsional and bending properties of
                                                                 the armored steel wire related parameters and the spiral angle can be
                                                                 calculated by minimum tensile force of the flexible HVDC submarine
                                                                 cable is 677 kN, which can meet the design requirements for the
                                                                 minimum tensile force of flexible HVDC submarine cable.
                          armoured spiral angle
                                                                 3.5  Min. bending radius design
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