APPLICATION OF THE HARTLEY TRANSFORM FOR THE ANALYSIS OF THE PROPAGATION OF NONSINUSOIDAL WAVE-FORMS IN POWER-SYSTEMS

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 electric circuits problems in general, and power system problems in particular. In this paper, 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. An example is given in which the Hartley transform is used to assess the impact of an electronic load with a demand which contains rapidly changing current. The paper also presents a general introduction to the use of Hartley transforms for electric circuit analysis. A brief discussion of the error characteristics of discrete Fourier and Hartley solutions is presented. Because the Hartley transform is a real transformation, it is more computationally efficient then 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 may be a very useful alternative in the rapid calculation of wide bandwidth signal propagation phenomena.