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Method for constructing surface shape mathematical model of circular tube type solar composite parabolic concentrator

A compound parabola and mathematical model technology, applied in solar thermal power generation, instruments, electrical digital data processing, etc., can solve problems such as difficulty in establishing differential equation solving process, hindering work development, complexity, etc., and achieve a simple and intuitive construction process

Active Publication Date: 2019-11-15
KUNMING UNIV OF SCI & TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

At present, the main method of constructing the mathematical model of the CPC reflective surface is based on the calculus theory. However, it is not easy to establish a differential equation and the solution process is complicated by this method, which often hinders the development of follow-up work.

Method used

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  • Method for constructing surface shape mathematical model of circular tube type solar composite parabolic concentrator
  • Method for constructing surface shape mathematical model of circular tube type solar composite parabolic concentrator
  • Method for constructing surface shape mathematical model of circular tube type solar composite parabolic concentrator

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Embodiment 1

[0044] A method for constructing a mathematical model of a cylindrical solar compound parabolic concentrator, such as figure 1 As shown, on the cross-section of the circular tubular compound parabolic concentrator, the xoy coordinate system is established with the center O of the circular tube as the coordinate origin, and the CPC is composed of curves AD and AS symmetrical to the y-axis; among them, the right side of the CPC Half-branch curve AD is composed of involute AB and upper curve BD. The radius of the circular tube is r; the edge ray SB is tangent to the circular tube at point E, and the angle between the edge ray SB and the y-axis is called the receiving half angle θ a ; The angle between the radius corresponding to the reflected light tangent to the circular tube and the negative semi-axis of the y-axis is θ; the specific steps are as follows:

[0045] (1) Let any point on the involute AB be B(X,Y), then the abscissa X of point B is equal to the sum of the projected...

Embodiment 2

[0078] A method for constructing the mathematical model of the surface shape of a circular tubular solar compound parabolic concentrator, when the receiving half angle θ a =45°(0.25π), the mathematical model of the right half branch curve of CPC is:

[0079]

[0080]

[0081] The mathematical model of the left half of the CPC curve is:

[0082]

[0083] The U(θ) expression in Equation (16) is the same as Equation (15).

[0084] The mathematical model obtained by the method of the present invention is consistent with the result obtained by using the differential method in the literature "Research on Surface Model of Circular Absorber Composite Parabolic Concentrator and Simulation Verification".

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Abstract

The invention discloses a method for constructing a surface shape mathematical model of a circular tube type solar composite parabolic concentrator. The method is based on a light reflection law and aplane analytic geometry theory, complex establishment and solving of differential equations are avoided, the construction process is clear, concise and visual, the time cost is saved to a certain extent, especially, researchers can deepen the basic theory of the surface shape of the composite parabolic concentrator, and a theoretical basis is provided for structural optimization, photo-thermal performance improvement and the like of the reflecting surface of the composite parabolic concentrator.

Description

technical field [0001] The invention belongs to the technical field of solar thermal utilization, and relates to a method for constructing a mathematical model of a concentrator surface shape in high-power utilization of solar energy, in particular to a method for constructing a mathematical model of a reflective surface shape of a compound parabolic concentrator with a circular tube as an absorber . Background technique [0002] In the 1970s, a compound parabolic concentrator (Compound Parabolic Concentrator, referred to as CPC) designed based on the principle of edge rays began to be applied to solar energy utilization technology. CPC does not require expensive tracking devices, and can converge the light received within the half-angle to the absorber to achieve the purpose of efficiently collecting solar radiation energy. With the increasing demand for high-temperature heat sources, the circular tube as the absorber CPC is playing an increasingly important role in the co...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCY02E10/40
Inventor 陈飞夏恩通
Owner KUNMING UNIV OF SCI & TECH
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