A survey on control schemes for distributed solar collector fields. Part I: Modeling and basic control approaches

Camacho, Eduardo F.; Rubio, Francisco; Berenguel, Manuel; Valenzuela, Loreto

doi:10.1016/j.solener.2007.01.002

Cited by 209 publications

(113 citation statements)

References 60 publications

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“…Based on an energy balance analysis, the dynamics of the process, which are represented by the evolution of the heat transport fluid temperature, are given by [3,2]:…”

Section: Distributed Modelmentioning

confidence: 99%

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Bilinear reduced order approximate model of parabolic distributed solar collectors

Elmetennani

Laleg‐Kirati

2016

Solar Energy

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This paper proposes a novel, low dimensional and accurate approximate model for the distributed parabolic solar collector, by means of a modified gaussian interpolation along the spatial domain. The proposed reduced model, taking the form of a low dimensional bilinear state representation, enables the reproduction of the heat transfer dynamics along the collector tube for system analysis. Moreover, presented as a reduced order bilinear state space model, the well established control theory for this class of systems can be applied. The approximation efficiency has been proven by several simulation tests, which have been performed considering parameters of the Acurex field with real external working conditions. Model accuracy has been evaluated by comparison to the analytical solution of the hyperbolic distributed model and its semi discretized approximation highlighting the benefits of using the proposed numerical scheme. Furthermore, model sensitivity to the different parameters of the gaussian interpolation has been studied.

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“…Based on an energy balance analysis, the dynamics of the process, which are represented by the evolution of the heat transport fluid temperature, are given by [3,2]:…”

Section: Distributed Modelmentioning

confidence: 99%

“…Indeed, several models of the parabolic solar collector exist in the literature, with different levels of accuracy and complexity [1,2,3,4]. The existing models vary from the simplest ones, based on linear steadystate relationships to nonlinear distributed ones.…”

Section: Introductionmentioning

confidence: 99%

Bilinear reduced order approximate model of parabolic distributed solar collectors

Elmetennani

Laleg‐Kirati

2016

Solar Energy

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“…The means available for achieving this is via the adjustment of the fluid flow and the daily solar power cycle characteristics are such that the oil flow has to change substantially during operation. This leads to significant variations in the dynamic characteristics of the field, which cause difficulties in obtaining adequate performance over the operating range with a fixed parameter controller (Camacho et al, 1997;2007a;. For that reason, this section summarizes a work developed by the authors where a robust PID controller is designed to control the outlet oil temperature of a DSC loop using the QFT technique.…”

Section: In Solar Energy Field: Acurexmentioning

confidence: 99%

“…With respect to the stability specification, the desired gain (GM)andphase(PM) margins are set. The tracking specifications were required to fulfill a settling time between 5 and 35 minutes and an overshoot less than 30% after 10-20 o C setpoint changes for all operating conditions (realistic specifications, see (Camacho et al, 2007a;). For stability specification, λ = 3.77 in Eq.…”

Section: In Solar Energy Field: Acurexmentioning

confidence: 99%

A Frequency Domain Quantitative Technique for Robust Control System Design

Guzmán¹,

Moreno²,

Berenguel³

et al. 2011

Robust Control, Theory and Applications

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“…Using the energy balance principle, the solar collector is generally described by a pure heat transport equation where only the advection phenomenon occurs. The pump volumetric flow rate is the control input, the outlet temperature and the solar irradiance are the available measurements ( [2] and references therein). The last years have noticed extensive studies on control strategies devoted to solar collectors.…”

Section: Introductionmentioning

confidence: 99%

Observer-based bilinear control of first-order hyperbolic PDEs: Application to the solar collector

Mechhoud

Laleg‐Kirati

2015

2015 54th IEEE Conference on Decision and Control (CDC)

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Abstract-In this paper, we investigate the problem of bilinear control of a solar collector plant using the available boundary and solar irradiance measurements. The solar collector is described by a first-order 1D hyperbolic partial differential equation where the pump volumetric flow rate acts as the plant control input. By combining a boundary state observer and an internal energy-based control law, a nonlinear observer based feedback controller is proposed. With a feed-forward control term, the effect of the solar radiation is cancelled. Using the Lyapunov approach we prove that the proposed control guarantees the global exponential stability of both the plant and the tracking error. Simulation results are provided to illustrate the performance of the proposed method.

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A survey on control schemes for distributed solar collector fields. Part I: Modeling and basic control approaches

Cited by 209 publications

References 60 publications

Bilinear reduced order approximate model of parabolic distributed solar collectors

Bilinear reduced order approximate model of parabolic distributed solar collectors

A Frequency Domain Quantitative Technique for Robust Control System Design

Observer-based bilinear control of first-order hyperbolic PDEs: Application to the solar collector

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