Abstract <p>Using a single-degree-of-freedom system as an example, the methods for calculating the energy characteristics of oscillatory processes in electrical and mechanical systems are considered. The analysis is based on the apparatus of frequency characteristics, generalized harmonic signals, and methods for analyzing electrical systems. Analytical expressions for the active and reactive power of external and internal forces are determined that ensure a balance of powers of the oscillatory system. The power and reactive-power factors of the system are shown to depend on the frequency and attenuation in the system. It is proposed to consider the problem of optimizing the system parameters as a problem of minimizing its active power.</p>

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Power, Work, and Energy of Electrical and Mechanical Oscillatory Systems

  • B. A. Dudin,
  • A. N. Savos’kin

摘要

Abstract

Using a single-degree-of-freedom system as an example, the methods for calculating the energy characteristics of oscillatory processes in electrical and mechanical systems are considered. The analysis is based on the apparatus of frequency characteristics, generalized harmonic signals, and methods for analyzing electrical systems. Analytical expressions for the active and reactive power of external and internal forces are determined that ensure a balance of powers of the oscillatory system. The power and reactive-power factors of the system are shown to depend on the frequency and attenuation in the system. It is proposed to consider the problem of optimizing the system parameters as a problem of minimizing its active power.