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The purpose of the Inflatable Torus Solar Array Technology (ITSAT) Demonstration Program is to develop the technology required to fly an inflatable solar array. As a first step to this development a preliminary thermodynamic and thermal finite element (FE) analysis was conducted. A detailed thermal and thermodynamic analysis was required in order to fully understand the thermal response and characteristics of the structure; and, how the quantity of gas required to inflate the structural support tubes will be effected. Results from the thermal analysis indicate that during deployment, which may last up to 2 minutes, the loss of internal energy of the gas and the loss of thermal energy of the structure may impede proper inflation of the tubes and thus result in deployment failure.