Use of the Hartley transform in systems analysis as applied to electric power quality assessment
Abstract
The Hartley transform is a real transformation which is closely related to the familiar Fourier transform. Because the Fourier transform causes the convolution operation to become a simple complex product, it has been used to solve a wide range of engineering problems including electric circuits problems in general, and power system problems in particular. In this work, a similar convolution property of the Hartley transform is used to calculate transients and nonsinusoidal waveshape propagation in electric power systems. The importance of this type of calculation relates to the impact of loads, particularly electronic loads, whose demand currents are nonsinusoidal. The method described is most applicable to cases in which frequency band limits occur (i.e., in low frequency applications, e.g., 3-5 kHz). For this reason, as well as the importance of power quality calculations, the method is of most interest to the power engineering community. Examples are presented in which the Hartley transform is used to assess the impact of an electronic load with a demand which contains rapidly changing current. This work also presents a general introduction to the use of the Hartley transform and series for electric circuit analysis. A discussion of the error characteristics of discrete Hartley solutions is presented. Because the Hartley transform is a real transformation, it is more computationally efficient than the Fourier or Laplace transforms. It is not a conclusion that the Hartley transform should replace familiar Fourier nor Laplace methods; however, it is concluded that the Hartley transform is a very useful alternative in the rapid calculation of wide bandwidth signal propagation phenomena.
Degree
Ph.D.
Advisors
Heydt, Purdue University.
Subject Area
Electrical engineering
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