A method of analysing the behaviour of linear systems in terms of time series

Tustin, A.

doi:10.1049/ji-2a.1947.0020

Cited by 69 publications

(27 citation statements)

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“…(6) The bilinear transformation [19,20] and Tustin's method [21] are applied to convert the transfer function from the s domain to the z domain. Tustin's method and the pole-zero match are highly useful methods at this point.…”

Section: A Satdmmentioning

confidence: 99%

Digitally Controlled Single-inductor Multiple-output Synchronous DC-DC Boost Converter with Smooth Loop Handover Using 55 nm Process

Hayder¹,

Park²,

Kim³

et al. 2017

Journal of Power Electronics

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This paper reports on a single-inductor multiple-output step-up converter with digital control. A systematic analog-to-digital-controller design is explained. The number of digital blocks in the feedback path of the proposed converter has been decreased. The simpler digital pulse-width modulation (DPWM) architecture is then utilized to reduce the power consumption. This architecture has several advantages because counters and a complex digital design are not required. An initially designed unit-delay cell is adopted recursively for the construction of coarse, intermediate, and fine delay blocks. A digital limiter is then designed to allow only useful code for the DPWM. The input voltage is 1.8 V, whereas output voltages are 2 V and 2.2 V. A co-simulation was also conducted utilizing PowerSim and Matlab/Simulink, whereby the 55 nm process was employed in the experimental results to evaluate the performance of the architecture.

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Section: A Satdmmentioning

confidence: 99%

Digitally Controlled Single-inductor Multiple-output Synchronous DC-DC Boost Converter with Smooth Loop Handover Using 55 nm Process

Hayder¹,

Park²,

Kim³

et al. 2017

Journal of Power Electronics

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“…According to the principle of the superposition, the sum of the responses of a linear system to the individual inputs is equal to the response of the system to the sum of the inputs [25]. This principle is shown by: …”

Section: Principle Of Superpositionmentioning

confidence: 99%

Dissimilar trend of nonlinearity in ultrasound transducers and systems at resonance and non-resonance frequencies

et al. 2017

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Abstract-Several factors can affect performance of an ultrasound system such as quality of excitation signal and ultrasound transducer behaviour. Nonlinearity of piezoelectric ultrasound transducers is a key determinant in designing a proper driving power supply. Although, the nonlinearity of piezoelectric transducer impedance has been discussed in different literatures, the trend of the nonlinearity at different frequencies with respect to excitation voltage variations has not been clearly investigated in practice. . In this paper, to demonstrate how the nonlinearity behaves, a sandwich piezoceramic transducer was excited at different frequencies. Different excitation signals were generated using a linear power amplifier and a multilevel converter within a range of 30 V-200V. Empirical relation was developed to express the resistance of the piezoelectric transducer as a nonlinear function of both excitation voltage and resonance frequency. The impedance measurements revealed that at higher voltage ranges, the piezoelectric transducer can be easily saturated. Also, it was shown that for the developed ultrasound system composed of two transducers (one transmitter and one receiver), the output voltage measured across receiver is a function of a voltage across the resistor in the RLC branches and is related to the resonance frequencies of the ultrasound transducer. Index TermsHigh power ultrasound transducer, nonlinear behaviour, ultrasound system excitation, power electronic converters Dissimilar trend of nonlinearity in ultrasound transducers and systems at resonance and non-resonance frequencies 2

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“…In their method, Nessi and Nisolle used an infinite solution for the RFM, which required considerable calculation time (Stephenson and Mitalas 1971;Fisher 2013). In 1947, A. Tustin, who was a professor at the University of Birmingham, first introduced a time-series concept that was used in the RFM to the United States through his publication in an electrical engineering journal (Tustin 1947;Haberl and Cho 2004). Tustin showed that ordinary arithmetic operations could be applied to solve the dynamic differential equations using time-series calculations (Tustin 1947;Stephenson and Mitalas 1967).…”

Section: Tfm or Wfmmentioning

confidence: 99%

Origins of analysis methods used to design high-performance commercial buildings: Whole-building energy simulation

Haberl

2015

Science and Technology for the Built Environment

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Many commercial buildings today do not perform the way they were simulated. One potential reason for this discrepancy is that designers using building energy simulation programs do not fully understand the analysis methods that the programs are based on and may therefore have unreasonable expectations about the actual system performance or energy use. Therefore, the purpose of this study is to trace the origins of the most widely used building energy simulation programs and the analysis methods of thermal envelope loads used in the software to analyze high-performance commercial buildings in the United States. Such an analysis is important to better understand the capabilities of building energy simulation programs so they can be used more accurately to simulate the performance of an intended design. In this study, a new comprehensive genealogy chart was developed to support the explanations for the origins of the analysis methods of thermal envelope loads used in whole-building energy simulation programs. Two other works (Oh and Haberl 2015a, 2015b) explained the origins of the analysis methods of solar photovoltaic, solar thermal, passive solar, and daylighting simulation programs.

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A method of analysing the behaviour of linear systems in terms of time series

Cited by 69 publications

References 0 publications

Digitally Controlled Single-inductor Multiple-output Synchronous DC-DC Boost Converter with Smooth Loop Handover Using 55 nm Process

Digitally Controlled Single-inductor Multiple-output Synchronous DC-DC Boost Converter with Smooth Loop Handover Using 55 nm Process

Dissimilar trend of nonlinearity in ultrasound transducers and systems at resonance and non-resonance frequencies

Origins of analysis methods used to design high-performance commercial buildings: Whole-building energy simulation

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