This paper considers the operation of auxiliary equipment under stress-strain condition. When using hydrogen in power engineering it is necessary to take into account and evaluate not only high energy properties of hydrogen fuel when used, but also its influence on auxiliary equipment. Hydrogen must be stored at high pressure (at refueling stations the pressure can reach 70 MPa). Particular attention should be paid to the integral condition of the hydrogen fuel storage receiver, the most susceptible to damage are the welding points and welded seams. One of the ways to analyze the operation and subsequent prediction of the auxiliary equipment condition can be the finite element method. On the basis of the finite element method, a calculation scheme was built, which allowed to predict the change of the structure in time under the influence of internal forces. The conducted research will allow to detect defects at earlier periods of operation, to obtain the results of numerical analysis of the stressstrain state. At present the main standard in the Russian Federation, defining the norms and methods of strength calculation is GOST 24755-89. This standard establishes the norms and methods of calculating the strength of reinforcing holes in the shells, transitions and convex bottoms of vessels and apparatus used in the chemical refining and related industries, operating under the action of internal or external pressure. As a result of researches the permissible values of geometrical parameters for life support and strength of hydrogen receiver body for design pressures and possible fluctuations, wall temperature, permissible life extension, operation time are determined.