Recently, there has been increasing demand for flexible electronic applications such as flexible displays, foldable smartphones, and flexible batteries based on flexible substrates. The roll-to-roll additive process has attracted tremendous attention regarding manufacturing such flexible electric devices because of its characteristics of eco-friendliness, large area of compatibility, and high flexibility, in contrast to traditional lithography or vaper evaporation methods. The mass production of roll-to-roll process tension control in precision is the most crucial assignment to be achieved. For the tension control, the load cell and dancer systems are used to regulate tension disturbance. A pendulum dancer system was extensively applied for unwinder or rewinder whose span length varied in the roll-to-roll printing and coating process. However, there have been an inadequate number of studies regarding tension control using the dancer system for mass production. In this paper, we propose a mathematical model of center pivot rotary dancer system revolving dual idle rolls around the pivot. Parametric studies are conducted as a function of inertia, span length, width of substrate, and operation velocity. Additionally, an impulse response was conducted for the time domain analysis. These results can be used for the mass production of roll-to-roll additive process.