Skip to main content Accessibility help
×
Hostname: page-component-84b7d79bbc-dwq4g Total loading time: 0 Render date: 2024-07-29T12:11:01.286Z Has data issue: false hasContentIssue false

Part V - Control by Optimizing a Performance Index

Published online by Cambridge University Press:  05 September 2016

Umesh A. Korde
Affiliation:
Michigan Technological University
John Ringwood
Affiliation:
National University of Ireland, Maynooth
Get access

Summary

In this part, optimal controllers, based on the maximization of an energy performance index, are presented. The optimization problem can be solved either algebraically or numerically. Chapter 9 examines the special case of switching control, where the control force is a braking force to be switched on and off, and has proved popular in the WEC control systems literature. The approach seeks an optimum switching sequence by maximizing a performance index (absorbed energy) under a basic variational formulation, and explicitly uses the Pontryagin principle to derive that sequence. The need for information from the future is discussed, even though the control applied is nonreactive. The optimum switching sequence here represents an optimum latching sequence, where velocity is alternately locked and released to maximize the performance index. The use of a numerical optimization framework allows system amplitude, force, and velocity constraints to be explicitly considered in the optimized design, by virtue of a constrained optimization solution. In order to achieve an efficient numerical solution (considering real-time control requirements), a pseudo spectral representation is chosen for the system variables, which parameterizes the variables as a set of (Fourier) basis functions. Chapter 10 presents the basic constrained optimal control formulation for a single device (which can be multibody), while Chapter 11 examines the opportunity for coordinated control of arrays of WECs, examining both independent and global control strategies. As in Part IV, future wave elevation is required, and Chapter 12 examines wave forecasting strategies based on both autoregressive (using only historical information) and up-wave philosophies.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2016

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×