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Digital Resonant Controller based on Modified Tustin Discretization MethodSTOJIC, D.
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current control, DC-AC power converters, digital filters, motor drives, three-phase electric power
power(18), electronics(15), resonant(9), controllers(8), iecon(6), industrial(5), filters(5), digital(5), blaabjerg(5), performance(4)
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About this article
Date of Publication: 2016-11-30
Volume 16, Issue 4, Year 2016, On page(s): 83 - 88
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2016.04013
Web of Science Accession Number: 000390675900013
SCOPUS ID: 85007602709
Resonant controllers are used in power converter voltage and current control due to their simplicity and accuracy. However, digital implementation of resonant controllers introduces problems related to zero and pole mapping from the continuous to the discrete time domain. Namely, some discretization methods introduce significant errors in the digital controller resonant frequency, resulting in the loss of the asymptotic AC reference tracking, especially at high resonant frequencies. The delay compensation typical for resonant controllers can also be compromised. Based on the existing analysis, it can be concluded that the Tustin discretization with frequency prewarping represents a preferable choice from the point of view of the resonant frequency accuracy. However, this discretization method has a shortcoming in applications that require real-time frequency adaptation, since complex trigonometric evaluation is required for each frequency change. In order to overcome this problem, in this paper the modified Tustin discretization method is proposed based on the Taylor series approximation of the frequency prewarping function. By comparing the novel discretization method with commonly used two-integrator-based proportional-resonant (PR) digital controllers, it is shown that the resulting digital controller resonant frequency and time delay compensation errors are significantly reduced for the novel controller.
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Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
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