Symmetric intersections of Rauzy fractals

In this article we study symmetric subsets of Rauzy fractals of unimodular irreducible Pisot substitutions. The symmetry considered is reflection through the origin. Given an unimodular irreducible Pisot substitution, we consider the intersection of its Rauzy fractal with the Rauzy fractal of the reverse substitution. This set is symmetric and it is obtained by the balanced pair algorithm associated with both substitutions

Random product of substitutions with the same incidence matrix

Any infinite sequence of substitutions with the same matrix of the Pisot type defines a symbolic dynamical system which is minimal. We prove that, to any such sequence, we can associate a compact set (Rauzy fractal) by projection of the stepped line associated with an element of the symbolic system on the contracting space of the matrix. We show that this Rauzy fractal depends continuously on the sequence of substitutions, and investigate some of its properties; in some cases, this construction gives a geometric model for the symbolic dynamical system

Design and characterisation of a novel translucent solar concentrator

This thesis begins with an investigation into the optical performances of the Crossed Compound Parabolic Concentrator (CCPC) for photovoltaic application and introduces the novel concept of a Translucent Integrated Concentrated Photovoltaic (TICPV). The use of solar concentrators in BIPV enables a reduction in the cost of generating photovoltaic electricity lending to yet another field of research known as Building Integrated Concentrated Photovoltaics (BICPV). The potential of BICPV as the most promising technologies for future electricity supply is examined by the design, optimisation and testing of the main component of the TICPV, a novel static nonimaging transparent 3-D concentrator coined the Square Elliptical Hyperboloid (SEH), for the use in building fenestrations. The SEH concentrator was designed and optimised via ray-tracing technique. A preliminary investigation into the optical efficiencies of 160 SEH concentrators of varying geometries was conducted and from this 20 concentrators were chosen and studied in more detail using the developed optical model with the aim of obtaining an optimised SEH concentrator out of these 20. The optimisation process proved to be far from straightforward, however, after careful consideration, five SEH concentrators with the best optical performances, each with different heights, were chosen. These concentrators were fabricated and used to assemble five separate TICPV modules. Subsequent to carrying out the simulation, the five optimised TICPV modules were examined in different environments (indoor and outdoor). The results of the indoor test, where the TICPV modules are exposed to direct radiation from a solar simulator, provided clear validation of the optical model; the results of the outdoor test added further to the validation and confirmed the power output of the TICPV modules when exposed to both direct and diffuse radiations. The TICPV modules are developed in a way such that they collect sunlight during most of the hours throughout the day, allowing the generation of electrical power whilst maintaining the level of transparency of the fenestration. It was found that the TICPV modules are capable of saving more than 60% of the solar cells used in conventional flat PV systems. The designed TICPV modules simultaneously provide solar energy generation and optimised day lighting. The TICPV module designed in this thesis provides a viable solution to coping with the increasing energy demands and will create a new age of energy efficient buildings reducing the carbon footprint of both existing buildings and buildings of the future

Experimental and Numerical Investigation of Thermal Performance of a Crossed Compound Parabolic Concentrator with PV Cell

Crossed compound parabolic concentrator (CCPC) is a solar energy device used to increase the photovoltaic (PV) cell electrical power output. CCPC’s thermal and optical performance issues are equally important for a PV cell or module to work under a favourable operating condition. However, most work to-date is emphasised on its optical performance paying a little attention to the thermal characteristics. In this contribution, we investigate the thermal performance of a CCPC with PV cell at four different beam incidences (0o, 10o, 20o, 30o and 40o). Initially, experiment is performed in the indoor PV laboratory at the University of Exeter with 1kW/m2 radiation intensity. 3D simulations are carried out to first validate the predicted data and then to characterise the overall performance. Results show that the temperature in the PV silicon layer is the highest at 0o and 30o, with the top glass cover of CCPC having the lowest temperature at all the incidences. The temperature and optical efficiency profiles at the various incidences predicted by simulation show very good agreement with the measurements, especially at 0o incidence. This study provides useful information for understanding the coupled optical-thermal performance of the CCPC with PV cell working at various conditions

Natural convective heat transfer in a walled CCPC with PV cell

The free convective heat transfer phenomenon in an isolated, walled CCPC with PV cell is studied experimentally at 1000 W/m2 irradiance and 28.5 °C ambient temperature as well as 0°, 10°, 20°, 30° and 40° incidences in indoor laboratory by using solar simulator. Then a series of numerical simulations are launched to estimate the CCPC natural heat transfer behaviour and optical performance based on steady heat transfer and laminar flow models with grey optical option. It is identified that the heat transfer and optical performances of CCPC are dependent on the incidence. Especially, the PV cell is subject to the highest temperature at an incidence less than 20°, and otherwise the top glass cover is with the highest temperature. The predicted temperatures, Nusselt numbers and heat loss ratios are consistent with the experimental observations basically, especially at the incidence less than 20° with (−10.1~+3) % error in temperature, (−35.6~+12.6) % in Nusselt number, and (−1.2~+20.5) % in CCPC wall heat loss ratio. The optical parameters predicted agree very well with the measurements. The heat loss from the CCPC walls accounts for nearly 60% of the total incoming solar irradiance and should be paid significant attention in the design of CCPC

Les mesures du développement des cabinets d'audit internationaux : vers un élargissement du champ des mesures par le concept de légitimité

International audienceNotre article s'intéresse aux mesures du développement des cabinets d'audit internationaux. Ce phénomène est appréhendé à travers deux concepts distincts, à savoir le concept de « notoriété » et de « légitimité ». Dans la littérature, ces concepts sont approximés par des mesures économiques, sociales et culturelles. Notre principal apport consiste à montrer que, au-delà des mesures économiques communément utilisées par les chercheurs et les praticiens, la mobilisation du concept de légitimité organisationnelle, issu de la typologie de Suchman (1995), permet de compléter le tableau des mesures du développement des cabinets d'audit internationaux