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Fluids 2018, 3(4), 97; https://doi.org/10.3390/fluids3040097

Computing Functional Gains for Designing More Energy-Efficient Buildings Using a Model Reduction Framework

1
Department of Mechanical Engineering, NUST College of Electrical & Mechanical Engineering, National University of Sciences & Technology, Islamabad 44000, Pakistan
2
Interdisciplinary Center for Applied Mathematics, MC0531 Virginia Tech, Blacksburg, VA 24061, USA
*
Author to whom correspondence should be addressed.
Received: 15 August 2018 / Revised: 17 October 2018 / Accepted: 20 November 2018 / Published: 23 November 2018
(This article belongs to the Special Issue Reduced Order Modeling of Fluid Flows)
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Abstract

We discuss developing efficient reduced-order models (ROM) for designing energy-efficient buildings using computational fluid dynamics (CFD) simulations. This is often the first step in the reduce-then-control technique employed for flow control in various industrial and engineering problems. This approach computes the proper orthogonal decomposition (POD) eigenfunctions from high-fidelity simulations data and then forms a ROM by projecting the Navier-Stokes equations onto these basic functions. In this study, we develop a linear quadratic regulator (LQR) control based on the ROM of flow in a room. We demonstrate these approaches on a one-room model, serving as a basic unit in a building. Furthermore, the ROM is used to compute feedback functional gains. These gains are in fact the spatial representation of the feedback control. Insight of these functional gains can be used for effective placement of sensors in the room. This research can further lead to developing mathematical tools for efficient design, optimization, and control in building management systems. View Full-Text
Keywords: energy-efficient buildings; reduced-order modeling; proper orthogonal decomposition; optimal control; functional gains energy-efficient buildings; reduced-order modeling; proper orthogonal decomposition; optimal control; functional gains
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Akhtar, I.; Borggaard, J.; Burns, J. Computing Functional Gains for Designing More Energy-Efficient Buildings Using a Model Reduction Framework. Fluids 2018, 3, 97.

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