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In contrast to the previous two chapters, which detailed L-system topology optimization approaches that interpret gene-informed rules into a complex set of layout-building instructions, this chapter introduces a grammar-to-layout approach known as the Arrangement L-system (ALS). Here, developmental operations that mimic the processes of cellular division, growth, and movement are directly informed by the genes and then iteratively applied to an iteratively changing topological layout that, once complete, represents an individual. The differences between formulations of the L-system, parameterized L-system, and ALS are discussed; examples of how the cellular division processes are used to develop a topological layout are provided; and extensions to the ALS such as directed search cellular dynamics and cellular division via the two-point topological derivative are detailed. The applicability of the ALS to a variety of structural design problems will be demonstrated, and it will be shown that this approach compares favorably with both conventional topology optimization methods discussed throughout this work as well as the graph-based SPIDRS approach introduced in the previous chapter.
Topology optimization is a powerful tool that, when employed at the preliminary stage of the design process, can determine potential structural configurations that best satisfy specified performance objectives. This chapter explores both the different classifications of topology optimization methodologies and their implementation within the design process, specifically highlighting potential areas where such techniques may fall short. This motivates a discussion on the relevance of a bioinspired approach to topology optimization known as EvoDevo, where topologies developed by interpreting instructions from a Lindenmayer system (L-system) encoding are evolved using a genetic algorithm. Such an approach can lend itself well to multiobjective design problems with a vast design space and for which users have little/no experience or intuition.
To this point, the proposed L-system topology optimization methods have been considered in the context of benchmark structural topology optimization problems, as such problems afford an opportunity for comparison to both other topology optimization methodologies and mathematically proven optimal or ideal solutions. However, the motivation behind the development of these approaches stems from the need for preliminary design method capable of considering complex multiobjective problems involving multiple physics for which the user may not have an intuition. This chapter briefly summarizes several multiphysical problems that have been approached using L-system topology optimization, including fluid transport, heat transfer, electrical, and aeroelastic applications. By no means an exhaustive survey, these examples are intended to provide an overview of potential applications and hopefully provoke opportunities for future efforts.
To address the need for an inherently multiobjective preliminary design tool, this chapter introduces a heuristic alternative to the conventional topology optimization approaches discussed in the previous chapter. Specifically, a parallel rewriting system known as a Lindenmayer system (L-system) is used to encode a limited number of design variables into a string of characters which, when interpreted using a deterministic algorithm, governs the development of a topology. The general formulation of L-systems is provided before discussing how L-system encodings can be interpreted using a graphical method known as turtle graphics. Turtle graphics constructs continuous, straight line segments by tracking the spatial position and orientation of a line-constructing agent, leading to the creation of branched structures that mimic those found in numerous natural systems. The performance of the proposed method is then assessed using simple, well-known topology optimization problems and comparisons to mathematically known optimal or ideal solutions as well as those generated using conventional topology optimization methodologies.
While the L-system approach introduced in the previous chapter exhibits potential for topology optimization applications, the modeling power of the turtle graphics interpretation is severely limited due to its reliance on limited parameters and its inability to guarantee the deliberate formation of load paths. Based on these characteristics, this chapter introduces a graph-based interpretation approach known as Spatial Interpretation for the Development of Reconfigurable Structures (SPIDRS) that uses principles of graph theory to allow an edge-constructing agent to introduce deliberate topological modifications. Furthermore, SPIDRS operates using instructions generated by a parametric L-system, which enhances modeling power and affords greater design freedom. This approach can also be extended to consider a three-dimensional structural design domain. It will be demonstrated that this interpretation approach results in configurations comparable to known optimal/ideal solutions as well as those found using conventional topology optimization methods, especially when coupled with a sizing optimization scheme to determine optimal structural member thicknesses.
To place the proposed bioinspired approach in the proper context, this chapter provides a review of the topology optimization problem and a general overview and demonstration of existing topology optimization techniques. Four different classes of methodologies are discussed: (1) pixel/voxel representations, (2) ground structure-based representations, (3) boundary representations, and (4) emerging methods. For each class, we consider both the established approach and, if applicable, any extension(s) to the established approach or new methodology that utilizes the same underlying principles; each method is demonstrated using a common structural optimization problem, allowing for direct comparison. Where possible, we offer observations regarding the strengths and weaknesses of each approach and recommendations as to how and where each approach should be employed.
This expanded new edition of Wind Turbines introduces key topics in offshore wind, alongside carefully revised and updated coverage of core topics in wind turbine technology. It features two new chapters on offshore wind, covering offshore resources, metocean data, wind turbine technologies, environmental impact, and loading and dynamics for fixed-bottom and floating platforms. Real-world case studies are introduced from Europe and the USA, and a new chapter examines wind power in the context of broader decarbonisation, practical energy storage, and other renewable energy sources. Updated coverage of turbine energy yield calculations, blade-element momentum theory, and current economic trends is presented, and over 100 varied end-of-chapter problems are included, with solutions available for instructors. Combining key topics in aerodynamics, electrical and control theory, structures, planning, economics, and policy, the clear language of this multidisciplinary textbook makes it ideal for undergraduate and graduate students, and professional engineers, in the renewable energy sector.
Chapter 7 considers structural loading and response of horizontal-axis machines, with some theoretical background and illustrative measurements from different wind turbine types. The chapter begins with a recap on the dynamics of a single degree of freedom system, leading into a discussion of multi-DOF systems and modal analysis. The cyclic loads affecting a wind turbine structure are described including wind shear, tower shadow, and rotationally sampled turbulence. The concepts of stochastic and deterministic loading are explained and the principle of aerodynamic damping illustrated. Qualitative descriptions are given of gyroscopic, centrifugal, and electromechanical loading. The phenomenon of blade edgewise stall vibration is explained, with discussion of mechanical damper solutions. The last part of the chapter draws on an early experimental campaign in which the dynamic loading on a full scale wind turbine was measured and compared with the results of software simulation. Results from the same trials also demonstrate the difference in rotor thrust loading arising from positive and negative pitch control. The chapter concludes with a brief summary of fatigue prediction methods.
This chapter is a largely non-technical overview of economic and political aspects of wind energy policy. The cost of wind energy is assessed in terms of Levelised Cost of Energy (LCoE) with equations given in full and simplified form. Using a large database historic installed costs for UK wind both on- and offshore are given, from the earliest projects to the present day. The observed trends are discussed. Operational and balancing costs are outlined, the latter reflecting the intermittency of wind power. LCoE estimates are made for a range of installed costs and output capacity factors at typical discount rates, and compared with current generation prices. The chapter considers the economics of onsite generation with the example of a private business using wind energy to offset demand; the energy displacement and export statistics are extrapolated to compare with a national scenario for 100% renewable electricity generation. The topic of ownership is introduced and examined in the context of the UK’s first community-owned windfarm. The chapter concludes with a brief review of UK renewable energy policy, which originated with legislation to protect the nuclear power industry.
The final chapter takes a wider look at wind turbine technology in the context of a potential 100% renewable electricity supply at national or state level. The problem of intermittency is explained, together with the role of overcapacity and wind turbine power density in helping to solve it. A section on energy storage considers the theoretical storage capacity that would be needed at national level to enable wind power to serve all demand, with high level analysis using one year’s data from the UK national grid; a second case study considers the State of Texas again using measured hourly data. The potential to combine solar and wind power is examined for both case studies, in proportions so as to minimise the energy storage requirement. The economics of a wind/solar grid with storage are explored with LCOE analysis, and the results discussed in the context of different storage technologies, with a range of installed costs. The final section examines the sustainability of wind turbine manufacture, decommissioning, and disposal, with examples of new technology to reduce associated CO2 emissions. These include decarbonised steel production, recyclable blades and wood laminate towers.
Chapter 6 considers wind turbine control, including supervisory control, power limiting, starting and stopping, electrical power quality, and sector management. The importance of accurate yaw control is discussed in terms of energy capture and cyclic loading, and an active yaw system illustrated. The main focus of the chapter is real-time power control, and builds on the aerodynamic and electrical concepts covered previously in Chapters 3–5. The differences between stall and pitch regulation are explained, in the latter case in the context of both constant and variable speed operation. Power measurements from constant-speed and variable-speed pitch controlled machines illustrate the superior accuracy of the latter. Control block diagrams are given for both methods, with qualitative explanation of the principles. The procedure for starting and stopping different wind turbine types is explained, and the advantages of pitch control in this context are illustrated. The chapter includes a short description of sector management, a control strategy based on external factors such as wind speed and direction, and used for noise reduction, shadow flicker prevention, or fatigue mitigation.