Journal article
Optimal control of a solar collector loop using a distributed-lumped model
Automatica (Oxford), v 17(3), pp 535-539
1981
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
This paper considers the optimal control of a solar collector loop described by a bilinear distributed parameter model for the collector fluid temperature and a bilinear lumped parameter model for the storage fluid temperature. The objective is to control the collector fluid velocity so as to maximize the net energy collected over a fixed time period. Necessary conditions for optimality, given by a set of equations whose solution yields the optimal control, are derived. It is shown that the optimal control is an open-loop, bang-bang control which depends on two terms: a measurable quantity which depends on the state of the collector fluid, and a quantity which depends on a future knowledge of the weather data. It is also shown that for the case in which only two switches occur during the period of operation, the optimal control depends only on the temperature difference across the collector. Thus, one can construct a feedback on/off controller for the system provided that it is known
a priori that only two switches will occur during the time interval under consideration.
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Details
- Title
- Optimal control of a solar collector loop using a distributed-lumped model
- Creators
- Abraham Orbach - Drexel UniversityChris Rorres - Drexel UniversityRobert Fischl - Drexel University
- Publication Details
- Automatica (Oxford), v 17(3), pp 535-539
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:A1981LR50600009
- Scopus ID
- 2-s2.0-0019569008
- Other Identifier
- 991019173707004721
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InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Automation & Control Systems
- Engineering, Electrical & Electronic