Stephen M. Cox
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View article: An posteriori error estimator for discontinuous Galerkin discretisations of convection-diffusion problems with application to Earth's mantle convection simulations
An posteriori error estimator for discontinuous Galerkin discretisations of convection-diffusion problems with application to Earth's mantle convection simulations Open
We present new aposteriori error estimates for the interior penalty discontinuous Galerkin method applied to non-stationary convection-diffusion equations. The focus is on strongly convection-dominated problems without zeroth-order reactio…
View article: The Senolytic Effect of Indole-3-Carbinol (I3C) on Mouse Embryonic (MEF) and Human Fibroblast Cell Lines
The Senolytic Effect of Indole-3-Carbinol (I3C) on Mouse Embryonic (MEF) and Human Fibroblast Cell Lines Open
Senescence and apoptosis are two fundamental cellular processes that play crucial roles in various physiological and pathological conditions. Senescence refers to the irreversible growth arrest that cells undergo in response to various sti…
View article: Testing federated analytics across secure data environments using differing statistical approaches on cross-disciplinary data
Testing federated analytics across secure data environments using differing statistical approaches on cross-disciplinary data Open
BACKGROUND Introducing data-driven technologies into health systems can enhance population health and streamline care delivery. The use of diverse and geographically varied data is key for tackling health and societal challenges, despite a…
View article: Measuring a motivational interviewing practice orientation in criminal justice practitioners: initial validation of the response style screening questionnaire
Measuring a motivational interviewing practice orientation in criminal justice practitioners: initial validation of the response style screening questionnaire Open
Introduction The use of collaborative communication techniques by criminal justice practitioners has been identified as a component of core correctional practices (CCPs). Criminal justice agencies and programs are investing in motivational…
View article: Slugging in horizontal channel flow
Slugging in horizontal channel flow Open
The stratified flow of gas–liquid mixtures is important in many industries, in particular oil and gas, where the formation of liquid slugs is usually undesirable. In this paper, we analyse the hydraulic model for turbulent, two-layer, gas–…
View article: Experimental Validation of Harmonic Impedance Measurement and LTP Nyquist Criterion for Stability Analysis in Power Converter Networks
Experimental Validation of Harmonic Impedance Measurement and LTP Nyquist Criterion for Stability Analysis in Power Converter Networks Open
This paper presents the first experimental validation of the stability analysis based on the online measurement of harmonic impedances exploiting the Linear Time Periodic (LTP) approach, applied to AC networks of power converters. Previous…
View article: Analysis of Low-Frequency-Oscillations in Single- Phase AC Systems by LTP Theory
Analysis of Low-Frequency-Oscillations in Single- Phase AC Systems by LTP Theory Open
The paper presents the analysis of a single-phase active rectifier, with DC constant power load, affected by Low-Frequency Oscillation (LFO) behaviour. Conventional LTI analysis tools might fail to reveal the LFO phenomenon, whereas the LT…
View article: Stability Assessment of High-Bandwidth DC Voltage Controllers in Single-Phase Active Front Ends: LTI Versus LTP Models
Stability Assessment of High-Bandwidth DC Voltage Controllers in Single-Phase Active Front Ends: LTI Versus LTP Models Open
In recent years, a considerable effort has been made to minimise the size of DC-link capacitors in single-phase activefront-ends (SP-AFE), to reduce cost and to increase power density. As a result of the lower energy storage, a high-bandwi…
View article: Stability Boundary Analysis in Single-Phase Grid-Connected Inverters With PLL by LTP Theory
Stability Boundary Analysis in Single-Phase Grid-Connected Inverters With PLL by LTP Theory Open
Stability analysis of power converters in AC net¬works is complex due to the non-linear nature of the conversion systems. Whereas interactions of converters in DC networks can be studied by linearising about the operating point, the extens…
View article: Stability Assessment of Power-Converter-Based AC systems by LTP Theory: Eigenvalue Analysis and Harmonic Impedance Estimation
Stability Assessment of Power-Converter-Based AC systems by LTP Theory: Eigenvalue Analysis and Harmonic Impedance Estimation Open
Stability analysis of power-converter-based AC systems poses serious challenges not only because of the non-linear nature of power converters, but also because linearisation is not generally applied around a steady-state operating point, a…
View article: Small-Signal Analysis of Naturally-Sampled Single-Edge PWM Control Loops
Small-Signal Analysis of Naturally-Sampled Single-Edge PWM Control Loops Open
This paper presents a simple method to analyze the behavior of feedback loops that contain a naturally-sampled single-edge pulse-width modulator. A small-signal model is derived by means of simple geometric arguments. It is shown how this …
View article: Analysis of a hysteresis-controlled self-oscillating class-D amplifier
Analysis of a hysteresis-controlled self-oscillating class-D amplifier Open
This paper gives the first systematic perturbation analysis of the audio distortion and mean switching period for a self-oscillating class-D amplifier. Explicit expressions are given for all the principal components of audio distortion, fo…
View article: Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice
Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice Open
We study homoclinic snaking of one-dimensional, localized states on two-dimensional, bistable lattices via the method of exponential asymptotics. Within a narrow region of parameter space, fronts connecting the two stable states are pinned…
View article: Ripple Compensation for a Class-D Amplifier
Ripple Compensation for a Class-D Amplifier Open
CITATION: Cox, S. M. & Mouton, H. 2015. Ripple compensation for a class-D amplifier. SIAM Journal on Applied Mathematics, 75(4):1536–1552, doi:10.1137/140997695.