In this work, the new application of cooperation search algorithm (CSA) is addressed to extract the unknown solid oxide fuel cell (SOFC)'s parameters supported by investigating and testing the cell steady-state and dynamic performances. Primarily, the indefinite SOFC's parameters are estimated utilizing CSA and the results are assessed and verified with compulsory comparisons. The minimum errors are obtained, CSA convergence behavior and SOFC's performance are all compared with other recognized algorithms in the literature. At last, and for more validations, the dynamic behavior of the SOFCs is studied when supplying electric vehicle (EV) operated with four DC motors at different speeds. The SOFCs and EV are represented via Simulink/MATLAB package. The EV's input current, voltage, power, and torque are traced at various acceleration and speed according to the road nature and/or driver requirements. The extensive investigations and validations prove the high efficacy of CSA capabilities in representing the SOFCs and for analyzing their steady-state and dynamic behaviors.