Periodic optimization with applications to solar energy control

Dorato, P.; Knudsen, H.

doi:10.1016/0005-1098(79)90035-9

Cited by 24 publications

(5 citation statements)

References 3 publications

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“…al. (1980) on residential DHW controls;and Dorato (1979) on application of on/off singular linear quadratic and periodic optimal control theory to solar energy systems.…”

Section: Analytical Designmentioning

confidence: 99%

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Research properties for improving the effectiveness of active solar hot water and space conditioning systems

Dikkers¹,

Kennish²,

Winn³

et al. 1984

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“…al. (1980) on residential DHW controls;and Dorato (1979) on application of on/off singular linear quadratic and periodic optimal control theory to solar energy systems.…”

Section: Analytical Designmentioning

confidence: 99%

“…Additional papers that dealt with this problem were (Winn and Duong, 1978), (Lorsch, Oswald and Crane, 1978), (Debs, 1978), (Moe, 1978), (Eltimsahy and Santos, 1977), , (Dorato, 1979) (Sebald, et.al., 1980), and (Winn, 1982).…”

Section: Analytical Designmentioning

confidence: 99%

Research properties for improving the effectiveness of active solar hot water and space conditioning systems

Dikkers¹,

Kennish²,

Winn³

et al. 1984

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“…Optimal periodic control problems (OPC-problems) arise from the optimization of various systems such as those in the chemical industry (see, for example, Horn and Lin 1967, Douglas 1972, Bailey 1973, Matsubara and Onogi 1978, a vehicle cruise (Gilbert 1976), solar energy systems (Dorato and Knudsen 1979), and economics systems (Choi and Hwang 1986). The potential area of application of optimal periodic control seems to be very wide, because periodic phenomena occur in many mechanical, electrical and biological systems (see, for example, Andronov et al 1981, Murray 1977.…”

Section: Introductionmentioning

confidence: 99%

Generalized trigonometric approximation of optimal periodic control problems

Styczeń

Nitka-Styczeń

1988

Int. J. of Control

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An optimal periodic control problem for a system described by differential equations is considered. Control units are assumed to generate control actions with the squareintegrable derivative. The above problem is approximated by a sequence of discretized problems containing trigonometric polynomials, which approximate the state and control variables, and the functions in the criterion and differential equations. The conditions for a sequence of optimal solutions to discretized problems, which are to be a generalized minimizing sequence for the basic problem, are given. Extensions to more general problem formulations are presented. The possibility of application is illustrated by the example of an optimal periodic control problem for a chemical reactor.

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“…Over the recent decades, a number of optimization models were developed for aiding in the planning of EMSs under multiple scales [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. The models were widely used for supporting an optimum allocation of energy resources, technologies and relevant services under one or several administrative objectives.…”

Section: Optimization Of Energy Systems Planningmentioning

confidence: 99%

A Review on Optimization Modeling of Energy Systems Planning and GHG Emission Mitigation under Uncertainty

et al. 2011

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Abstract:Energy is crucial in supporting people's daily lives and the continual quest for human development. Due to the associated complexities and uncertainties, decision makers and planners are facing increased pressure to respond more effectively to a number of energy-related issues and conflicts, as well as GHG emission mitigation within the multiple scales of energy management systems (EMSs). This quandary requires a focused effort to resolve a wide range of issues related to EMSs, as well as the associated economic and environmental implications. Effective systems analysis approaches under uncertainty to successfully address interactions, complexities, uncertainties, and changing conditions associated with EMSs is desired, which require a systematic investigation of the current studies on energy systems. Systems analysis and optimization modeling for low-carbon energy systems planning with the consideration of GHG emission reduction under uncertainty is thus comprehensively reviewed in this paper. A number of related methodologies and applications related to: (a) optimization modeling of GHG emission mitigation; (b) optimization modeling of energy systems planning under uncertainty; and (c) model-based decision support tools are examined. Perspectives of effective management schemes are investigated, demonstrating many demanding areas for enhanced research efforts, which include issues of data availability and reliability, concerns in OPEN ACCESSEnergies 2011, 4 1625 uncertainty, necessity of post-modeling analysis, and usefulness of development of simulation techniques.

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Periodic optimization with applications to solar energy control

Cited by 24 publications

References 3 publications

Research properties for improving the effectiveness of active solar hot water and space conditioning systems

Research properties for improving the effectiveness of active solar hot water and space conditioning systems

Generalized trigonometric approximation of optimal periodic control problems

A Review on Optimization Modeling of Energy Systems Planning and GHG Emission Mitigation under Uncertainty

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