Andrew Allison

Biography

Dr Andrew Allison, Lecturer B School of Electrical and Electronic Engineering Faculty of Engineering, Computer and Mathematical Sciences, The University of Adelaide Dr Andrew Allison, Lecturer B School of Electrical and Electronic Engineering Faculty of Engineering, Computer and Mathematical Sciences, The University of Adelaide

Research Interest

1/ Energy Conversion and Electrical Power: I have worked with transformers, rotating machines, solar panels, chemical storage batteries, and switching electronics. I regularly teach in these areas. 2/ Fundamental analysis of Electrical Machinery: I am interested in the fundamental modelling of electrical machines, in terms of the underlying electromagnetic fields, and the storage and flow of different types of energy, leading to variational techniques. I am interested in applying the techniques of Euler, Lagrange and Hamilton to electrical machinery. The aim is to arrive at a general mathematical language for describing many machines of very different types. 3/ Statistics and Probability: My PhD. Thesis was in the area of analysis of stochastic processes. I am very interested in applying probability models to practical electrical machinery, and using the associated statistics, and measurements, to obtain rigorous estimates of parameters. 4/ Statistical Signal Processing, and Control: The identification of signals in the presence of noise is an important application of probability and statistics. I have been applying techniques of statistical signal processing to biomedical signals, to help clinicians to determine the appropriate timing and dosage of treatment. 5/ The application of unusual Mathematical techniques: My first degree was in Mathematical Sciences. I am interested in applying unusual mathematical techniques, and computational algorithms to solve difficult practical problems. This includes, complex optimization (based in ideas from Wirtinger), geometric algebra (based on ideas from Clifford and Grassmann), and the study of diffusive systems (based on ideas from Weierstrass). Some problems are very difficult to solve if we cannot expand the range of available tools.