Topic
Describing function
About: Describing function is a research topic. Over the lifetime, 1742 publications have been published within this topic receiving 26702 citations.
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01 Sep 2018
TL;DR: An enhanced multi-frequency small-signal model considering two dominant sideband frequency components, which has a better prediction of the high-frequency performance and still maintains simplicity is proposed.
Abstract: Due to the effective frequency limitation of the small-signal model derived from the average model for buck converters, the multi-frequency small-signal model was found to solve this issue by taking another dominant sideband frequency component into consideration. Based on it, this paper proposes an enhanced multi-frequency small-signal model considering two dominant sideband frequency components, which has a better prediction of the high-frequency performance. What's more, the modeling process is simplified by replacing the describing function with frequency domain analysis. And the loop gain for close-loop design derived from the new model still maintains simplicity, which guarantees the using-friendly of this new model. In addition, an important factor which influence the accuracy of this model is also shown to guide the application. Simulation and experimental results are presented as verifications.
2 citations
2 citations
TL;DR: In this paper, it was shown that the stability of limit cycles in third and higher-order systems with non-linearities can be determined from the negative slope of the describing function at its point of intersection with a locus dependent on the coefficients of the numerator and denominator polynomials of the transfer function.
Abstract: The purpose of this paper is to show how the stability of limit cycles in third and higher-order systems having non-linearities with a real describing function can be ascertained from the negative slope of the describing function at its point of intersection with a locus dependent on the coefficients of the numerator and denominator polynomials of the transfer function. It is also shown that the amplitude of stable oscillations depends both on the non-linearity and the linear part of the plant and can be determined from the point of intersection whereas the frequency is independent of the non-linearity and can be computed from the coefficients of the linear plant alone. In the case of an all-pass transfer function and for a specific non-linearity the amplitude depends on the gain but is independent of the coefficients of the linear plant. The maximum gain giving stable limit cycles can be related to the non-linearity and the coefficients of the linear plant.
2 citations