In optimizing the vibrodiagnostics of thermal power plants, a mathematical model was developed and used to increase the power plants’ safety and operational characteristics. The choice of diagnostic condition parameters of the components was made based on optimization characteristics that affect the accuracy of the solution and operational readiness of the thermal power plant. The research aimed to develop a universal model by analyzing more optimized vibrodiagnostics of the turbogenerator, which achieves high operational reliability, high safety, an extension of service life, an extension of working life, a reduction of overhaul time, etc. The application of the model represents the concept of optimization with the checking of condition parameters, which is applied to turbogenerator assemblies that have a continuous change of condition parameters as a function of the monitoring time, for which the functional dependence between the intensity of the parameter change and the operating time can be determined.