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Control applications

Control applications

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In this chapter, we will address a few issues about control applications. Several methods of disturbance rejection are presented in Chapter 10, including rejection of general periodic disturbances. A potential application can be the estimation and rejection of undesirable harmonics in power systems. Harmonics, often referred to high-order harmonics in power systems, are caused by nonlinearities in power systems, and the successful rejection depends on accurate estimation of amplitudes and phase of harmonics. We will show an iterative estimation method based on a new observer design method.

Chapter Contents:

  • 11.1 Harmonics estimation and rejection in power distribution systems
  • 11.1.1 System model
  • 11.1.2 Iterative observer design for estimating frequency modes in input
  • 11.1.3 Estimation of specific frequency modes in input
  • 11.1.4 Rejection of frequency modes
  • 11.1.5 Example
  • 11.2 Observer and control design for circadian rhythms
  • 11.2.1 Circadian model
  • 11.2.2 Lipschitz observer design
  • 11.2.3 Phase control of circadian rhythms
  • 11.3 Sampled-data control of nonlinear systems
  • 11.3.1 System model and sampled-data control
  • 11.3.2 Stability analysis of sampled-data systems
  • 11.3.3 Simulation

Inspec keywords: power system harmonics; control system synthesis; observers; control nonlinearities; harmonics suppression; phase estimation; iterative methods; amplitude estimation

Other keywords: periodic disturbance rejection; amplitude estimation; undesirable harmonics rejection; high order harmonics; phase estimation; power system; observer design method; iterative estimation method; nonlinearities

Subjects: Interpolation and function approximation (numerical analysis); Other topics in statistics; Interpolation and function approximation (numerical analysis); Power supply quality and harmonics; Power system control; Control of electric power systems; Nonlinear control systems; Other topics in statistics; Control system analysis and synthesis methods

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