## 1 Introduction  
The stringent requirements that are imposed on the quality of generated energy necessitate making significant fundamental modifications to existing turbine plant prototypes. The conditions of a test stand offer the possibility of combining the stages of computer-aided tests, i.e., simulation of the automatic control system, and hardware-in-the loop-tests, i.e., tests of mockups and experimental and pilot prototypes, also using a computer model of the power system [1]. During the experimental testing of new and modernized products, it is important to take into account the influence of external factors, in particular, frequency interactions with the stand elements caused by vibrations and their influence on the receipt of measurement information from measuring devices built into the stand equipment. In addition, vibration processes can cause damage to the stand and measuring devices. To control vibration parameters, various methods and devices are offered. For example, in work [2], the prediction of bearing failure based on the results of vibration monitoring of bearing assemblies based on the damage accumulation model is considered. In work [3], a model of optimal frequency control of vibration by a formative active excitation of indefinite flexible mechanical systems with constant excitation is presented. In work [4], a model of studies of nonlinear analysis of the frequency response of hydrodynamic plain bearings with external disturbances according to the results of monitoring of bearing assemblies is presented. In work [5], the results of an experimental determination of the dynamic force coefficients of a flexible shaft in bearing assemblies are presented. In work [6], the results of experimental vibration tests of a turbo compressor of a high-speed diesel engine are presented. In work [7], questions of the influence of nonlinearity in the dynamic analysis of the machines' operations are considered; also, the examples of the behavior of their structures are shown. Work [8] described a micro turbocharger with airfoil bearings for a 100 W micro-electric power station, and dynamic analysis to improve the dynamic characteristics of the rotor is given. In work [9], the results of a study of the effect of rotor imbalance in response (vibration) on its stability in hybrid airfoil bearings are presented. In paper [10], the technical problems of using the Markov process for managing and planning the operation of equipment using a servicing strategy relevant to the technical state are considered. In paper [11], the authors considered the problem of torque pulsation and its stabilization by means of control for switched reluctance drives. The authors introduced the method of model predictive control with reduced integration step size in order to implement precise torque stabilization using pulse width modulation. The paper [12] presents the experimental results of the combustion diagnosis in the cylinders of heavy diesel engines with direct injection. In work [13], devices are considered to improve the accuracy of parameter measurement: For the vibrational movement of elements of electronic equipment, a three-component measurement method is used. Additionally, modal impedance curves calculated using the linear perturbation method are used to predict rotor-dynamic characteristics of the rotor. The scheme of the information model of provision of multi-aspect diagnostics of the condition of the electrotechnical complex elements in the standard IDEFlx is given in paper [14]. In this regard, attention should be paid to transients and the restructuring of the \"product-stand\" self-oscillating system; for example, when the power (number of rotations and other parameters) of the product in the measuring devices of the stand's modes. Receiving and studying the correct measurement data is the actual task. To understand the physical aspects of the dynamic behavior of products, experimental complexes are developed based on which issues of the product and stand's dynamic interaction are investigated.