The invention relates to a modeling method for a compound
parabolic concentrator (CPC) for a linear Fresnel light condensing and heat collecting
system on the basis of
matlab. The modeling method comprises the following steps: 1, determining the maximum receiving
half angle theta c of the CPC; 2, using an outer
diameter circle of a
metal inner
pipe of a vacuum heat collecting tube as a base circle of an
involute; 3, rotating the
involute by an
angle alpha by using a circle center O as the center, so that a point C on the
involute, which meets the condition that t=t0, is positioned on a center shaft of the CPC and the distance between the point C and the
metal inner tube of the heat collecting tube is the sum of the distance between the point and a glass outer tube of the heat collecting tube and the distance between the glass outer tube and the
metal inner tube of the heat collecting tube; 4, using a point on the involute, which meets the condition (refer to the specification), as a
junction point of an involute CFB and a parabola A; 5, rotating the parabola by an angle theta c around the vertex of the parabola to enable the parabola to pass through a left
junction point FB and using a right
junction point FA as a focus to obtain a parabolic equation; 6, carrying out simulating calculation on a relation of a convergence rate and an intercepting ratio of the CPC by utilizing a
ray tracing method, and selecting the suitable intercepting ratio.