In addition, key design parameters include cable sags, truss height, and cable pretensions, all of which strongly influence structural behavior. Different sags are required to balance gravity, wind pressure, and wind uplift effects according to design codes. Proper selection and iteration of geometry and pretension are essential to achieve optimal stiffness and deformation control, the scientists said.
In the proposed system configuration, the cable truss was treated as the primary load-bearing system, with PV module loads transferred to it as equivalent uniformly distributed forces. The structural design is defined by key parameters, including the total truss height, the individual sags of each cable, and the pretension levels in different cable groups.
“To determine these values, a unified iterative framework was developed to adjust sag and achieve balanced resistance to gravity, wind pressure, and wind uplift,” Nie explained. “Once the geometric configuration was established, cable pretensions were evaluated through dynamic analysis based on the structure’s natural frequencies. These dynamic properties were then linked to the flutter critical wind speed. Finally, the optimal pretension combination was selected by maximizing or locally maximizing the critical flutter wind speed response.”
The proposed design was validated through a detailed numerical study of a 40 m-span CSPS, developed in accordance with Chinese structural design codes under extreme wind conditions representative of hurricane-level events. A design wind pressure of approximately 0.654 kPa, combined with a gust factor of 1.7, was used alongside a 20° module tilt and standard wind shape coefficients to establish realistic loading scenarios.
Using the iterative design method, the initial sag values of the cable truss were determined as 2,230 mm and 1,770 mm. These values were derived assuming a 30 kN pretension in the load-carrying cable and were shown to be stable across a wide range of pretension conditions. Parametric analysis confirmed that once wind pressure exceeds 0.45 kPa, the calculated sag becomes largely insensitive to pretension variations, reinforcing the robustness of the proposed geometric design approach.
After applying pretension and dead loads, modal analysis was carried out to extract the structure’s dynamic characteristics. The results showed that increasing cable pretension generally increases both vertical and torsional natural frequencies, although their ratio does not evolve monotonically.
Flutter assessment revealed a clear peak in critical wind speed at an optimal pretension combination, with 30 kN identified as the most efficient value for the primary load-carrying cable. Importantly, further increases in pretension did not consistently improve aerodynamic stability, highlighting the need for balanced design rather than simple force maximization.
Static and parametric analyses further demonstrated that geometric configuration plays a dominant role in structural performance. In particular, increasing the truss height proved significantly more effective in reducing both vertical and torsional deformations than adjusting cable pretension. These results confirm that geometric optimization is the key driver of stiffness and stability in large-span CSPS designs.
“Overall, the study validates the proposed two-parallel cable truss system as a structurally efficient and aerodynamically robust solution for PV deployment in high-wind and complex terrain environments, offering a practical design framework for future large-scale solar infrastructure,” Nie concluded.