Comparative Study on Heat Flux and Temperature Distribution Performance of Linear Fresnel Collector Based on Uniformity Index

Linear Fresnel collector system as main solar energy collecting technology is widely studied.The secondary reflector has significant influence on the heat flux distribution on the linear Fresnel collector.In this work,the heat flux and temperature distribution on linear Fresnel collector is compared with different secondary reflectors of simple trapezoidal concentrator,segmented parabolic concentrator and compound parabolic concentrator under varied incident ray angle.The uniformity index is applied to evaluate the Linear Fresnel reflector system heat flux distribution performance.The results show that the value of uniformity index increases with the increasing of incident ray angle.The compound parabolic concentrator has the highest value of uniformity index compared with simple trapezoidal concentrator and segmented parabolic concentrator in this work.The highest value of uniformity index is 0.8137 with compound parabolic concentrator.This work provides effective and practical guide to design and evaluate the secondary reflector in linear Fresnel reflector system.

Multi-stage power source and grid coordination planning method considering grid uniformity

Given the increasing uncertainties in power supply and load,this paper proposes the concept of power source and grid coordination uniformity planning.In this approach,the standard deviation of the transmission line load rate is considered as the uniformity evaluation index for power source and grid planning.A multi-stage and multi-objective optimization model of the power source and grid expansion planning is established to minimize the comprehensive cost of the entire planning cycle.In this study,the improved particle swarm optimization algorithm and genetic algorithm are combined to solve the model,thus improving the efficiency and accuracy of the solution.The analysis of a simple IEEE Garver’s 6-node system shows that the model and solution method are effective and feasible.Moreover,they are suitable for the coordinated planning of the power source and grid under a diversified nature of power supply and load.

The monitoring of burden distribution uniformity and even sintering technology

After expanding the capacity by widening the trolley of the No. 3 sintering machine, severe uneven sintering occurred in the trolley＇ s lateral distribution, which affected the output and quality of sinter. In this study, the quantitative evaluation indices of the burden uniform distribution in the width direction of the sintering machine is introduced for the first time. By measuring the temperature of discharged gas, a plane temperature field is constructed. Through analyzing the temperature field and the burden layer＇ s differential thermal equilibrium, a mathematical model for evaluating the indices, which is an online reflection of the degree of uniform distribution, is built. Following the improvements in burden distribution equipment ,the optimization of the ignition system and the dynamic adjustment of the process ,the problem of uneven sintering in lateral distribution has been solved, and the quality and the yield of sinter have been improved.

Beam Pattern Design and Performance Analyses for Circular Array with Spherical Baffles

The influence of a rigid spherical baffle on the response of a uniform circular microphone array （UCA） is analyzed and two eigen-beam beamforming arrays are designed in the eigen-beam subspaee derived from the soundfield decomposition. Expressions of white noise gain （WNG） and directivity index （DI） are derived for the designed arrays. Performance analyses are carried out for the designed arrays and compared between those of the delay-and-sum beamforming array using UCA with and without a rigid sphere. Computer simulations demonstrate that the designed arrays have frequency-independent directivity with the cost of reduced robustness at low frequency band. The delay-and-sum beamforming array has constant WNG at all frequencies, while its directivity of which is reduced at low frequency band. The rigid sphere can improve the robustness for all the arrays.

Random difference equations with subexponential innovations

We consider the random difference equations S =_d(X + S)Y and T =_dX + TY, where =_ddenotes equality in distribution, X and Y are two nonnegative random variables, and S and T on the right hand side are independent of(X, Y). Under the assumptions that X follows a subexponential distribution with a nonzero lower Karamata index, that Y takes values in [0, 1] and is not degenerate at 0 or 1, and that(X, Y) fulfills a certain dependence structure via the conditional tail probability of X given Y, we derive some asymptotic formulas for the tail probabilities of the weak solutions S and T to these equations. In doing so we also obtain some by products which are interesting in their own right.

Numerical simulation of EMS position on flow, solidification and inclusion capture in slab continuous casting

Electromagnetic stirring(EMS)is a well-known and widely used technology for controlling the fluid flow in continuous casting mold,and therein the selection of stirrer position is closely related to final product.To investigate the effect of stirrer position on initial solidification and inclusion capturing,a mathematical model coupling with electromagnetic field,turbulence flow,solidification,and inclusion movement was constructed.Through comparing the magnetic flux density,flow field and solidified shell thickness with measured data,the reliability of the mathematical model was proved.The uniform index has been introduced to judge the uniformity of solidified shell,and the washing effects of EMS on the numbers and distribution of captured inclusions were discussed.The results show that a diagonal jet flow toward the mold wide face has generated when EMS is applied,and upper EMS position can effectively improve the uniformity of temperature and the solidified shell within the mold.Meanwhile,due to the washing effect of EMS,the number of inclusions inside the solidified shell decreases,and the distribution of captured inclusions along the mold width changes evenly.Decreasing the stirrer position,the uniform index decreases firstly and then increases,and the probability of inclusion capture by solidified shell increases.Thus,the upper stirrer position is suggested,with which the uniformity of solidified shell and cleanliness of slab are rational.

√2 Rule for Controlling the Tree Pattern in Forest Cut

A forest’s productivity can be optimized by the application of rules derived from monopolized circles.A monopolized circle is defined as a circle whose center is a tree and whose radius is half of the distance between the tree itself and its nearest neighbor.Three characteristics of monopolized circle are proved.(1)Monopolized circles do not overlay each other,the nearest relationship being tangent.(2)“Full uniform pattern”means that the grid of trees(a×b=N)covers the whole plot,so that the distance between each tree in a row is the same as the row spacing.The total monopolized circle area with a full uniform pattern is independent on the number of trees and
4 times the plot area.(3)If a tree is removed,the area of some trees’monopolized circle will increase without decreasing the monopolized circles of the other trees.According to the above three characteristics,“uniform index”is defined as the total area of monopolized circles in a plot divided by the total area of the monopolized circles,arranged in a uniform pattern in the same shaped plot.According to the definition of monopolized circle,the distribution of uniform index(L)=x^(2)(2n)/2πn for a random pattern and E(L)=1/n;the variance of L is D(L)=1/nπ^(2).It is evident that E(L)is independent on N and the plot area;hence,L is a relative index.L can be used to compare the uniformity among plots with different areas and the numbers of trees.In a random pattern,where L is equivalent to the tree density of the plot in which the number of trees is 1 and the area isπ,the influence of tree number and plot area to L is eliminated.When n→∞,D(L)→0 and L→1/π=0.318;it indicates that the greater the number of tree is in the plots,the smaller the difference between the uniform indices will be.There are three types of patterns for describing tree distribution(aggregated,random,and uniform patterns).Since the distribution of L in the random pattern is accurately derived,L can be used to test the pattern types.The research on Moarshan showed that the whole plot has an aggregated pattern;the first,third,and sixth parts have an aggregated pattern;and the second,fourth,and fifth parts have a random pattern.None of the uniform indices is more than 0.318(1/Π),which indicates that uniform patterns are rare in natural forests.The rules of uniform index can be applied to forest thinning.If you want to increase the value of uniform index,you must increase the total area of monopolized circles,which can be done by removing select trees.“Increasing area trees”are the removed trees and can increase the value of the uniform index.A tree is an increasing area tree if the distance between the tree and its second nearest neighbor is√2 p times longer than that between the tree itself and its first nearest neighbor,which is called the√2 p rule.It was very interesting to find that when six plots were randomly separated from the original plot,the proportion of increasing area trees in each plot was always about 0.5 without exception.In random pattern,the expected proportion of increasing area trees is about 0.35–0.44,which is different from the sampling value of 0.5.The reason is very difficult to explain,and further study is needed.Two criteria can be used to identify which trees should be removed to increase the uniform index during forest thinning.Those trees should be(1)trees whose monopolized circle areas are on the small side and(2)increasing area trees,which are found via the√2 p rule.