CN115452768A - Three-dimensional temperature, gas concentration and particle concentration distribution measurement system in turbulent combustion field - Google Patents
Three-dimensional temperature, gas concentration and particle concentration distribution measurement system in turbulent combustion field Download PDFInfo
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Abstract
本发明公开了一种湍流燃烧场三维温度、气体浓度、颗粒浓度分布测量系统,包括:H2O激光器,发出两条H2O分子红外吸收谱线;CO2激光器,发出CO2分子红外吸收谱线;分束器,令吸收谱线分成多路在待测燃烧场内呈网格分布的激光光束;光电探测器,设置于待测燃烧场周围,用于接收所述激光光束;移动平台,驱动分束器与光电探测器移动;上位机系统,通过代数迭代的方式得到二维平面内每一个网格的温度,CO2气体浓度和颗粒浓度;然后通过多个二维平面重构得到待测燃烧场的三维温度、CO2气体浓度和颗粒浓度。本发明对湍流燃烧场的三维温度、CO2气体浓度和颗粒浓度进行同时在线重建,具有非侵入、响应快、灵敏度高等优点。
The invention discloses a three-dimensional temperature, gas concentration and particle concentration distribution measuring system of a turbulent combustion field, comprising: an H2O laser emitting two H2O molecular infrared absorption lines; a CO2 laser emitting CO2 molecular infrared absorption spectral line; a beam splitter, which divides the absorption spectral line into multiple laser beams distributed in a grid in the combustion field to be measured; a photodetector, arranged around the combustion field to be measured, for receiving the laser beam; a mobile platform , to drive the beam splitter and photodetector to move; the upper computer system obtains the temperature, CO 2 gas concentration and particle concentration of each grid in the two-dimensional plane through algebraic iteration; and then obtains through multiple two-dimensional plane reconstruction Three-dimensional temperature, CO2 gas concentration and particle concentration of the combustion field to be measured. The invention simultaneously reconstructs the three-dimensional temperature, CO 2 gas concentration and particle concentration of the turbulent combustion field online, and has the advantages of non-invasiveness, fast response and high sensitivity.
Description
技术领域technical field
本发明涉及燃烧场测量领域,尤其涉及一种湍流燃烧场三维温度、气体浓度、颗粒浓度分布测量系统。The invention relates to the field of combustion field measurement, in particular to a three-dimensional temperature, gas concentration and particle concentration distribution measurement system of a turbulent combustion field.
背景技术Background technique
化石燃料的燃烧是当今世界最主要的能源利用形式,支持着人类社会的工业运行和社会发展。在实际的燃烧设备中,湍流燃烧是主要的燃烧形式。由于湍流燃烧场的复杂性,燃烧火焰中的温度、气体组分和碳烟颗粒浓度等在空间上的分布是不均匀的,这些关键的物理参数、化学产物浓度的分布会对燃烧过程中的能量转化效率和安全性产生影响。同时,燃烧不完全产生的碳烟颗粒等污染物,会造成严重的环境问题,也威胁着人类的安全健康。The combustion of fossil fuels is the most important form of energy utilization in the world today, supporting the industrial operation and social development of human society. In actual combustion equipment, turbulent combustion is the main form of combustion. Due to the complexity of the turbulent combustion field, the spatial distribution of the temperature, gas components and soot particle concentration in the combustion flame is not uniform, and the distribution of these key physical parameters and chemical product concentrations will affect the combustion process. Energy conversion efficiency and safety have an impact. At the same time, pollutants such as soot particles produced by incomplete combustion will cause serious environmental problems and threaten human safety and health.
为了控制湍流燃烧过程中碳烟污染物的排放,需要对其生成机理有充分的了解。火焰中的温度、CO2浓度等对碳烟的生成均有着极大的影响,但其具体作用机理目前仍存在较大争议。另外,湍流燃烧场的温度、作为燃烧过程重要产物之一的CO2浓度对于燃烧反应的基础研究也有着重要意义。这些对湍流燃烧科学的理论研究均需要相关技术对火焰的温度、气体组分浓度以及碳烟浓度的三维分布进行准确地在线测量。In order to control the emission of soot pollutants during turbulent combustion, a good understanding of its generation mechanism is required. The temperature and CO 2 concentration in the flame all have a great influence on the formation of soot, but the specific mechanism of action is still controversial. In addition, the temperature of the turbulent combustion field and the concentration of CO 2 as one of the important products of the combustion process are also of great significance to the basic research of combustion reactions. These theoretical studies on turbulent combustion science require related technologies to accurately measure the three-dimensional distribution of flame temperature, gas component concentration and soot concentration on-line.
中国专利CN 111141524 A基于可调谐半导体激光吸收光谱技术,设计了燃烧场气体参数测量装置,布置了扇形光束对重建区域进行覆盖,但该系统只实现了对燃烧流场内的单种气体进行二维重建。Chinese patent CN 111141524 A is based on tunable semiconductor laser absorption spectroscopy technology, designed a gas parameter measurement device in the combustion field, and arranged a fan-shaped beam to cover the reconstruction area, but the system only realized two-dimensional analysis of a single gas in the combustion flow field. Dimensional reconstruction.
中国专利CN 113310857 A设计了一种系统,采用层析激光诱导白炽光法测量燃烧场的碳烟颗粒初级粒径空间分布,采用发射光谱层析比色测温系统测量湍流火焰温度场。但是,采用激光诱导白炽光的方法测量颗粒浓度时,需要首先对已知碳烟颗粒浓度的标准火焰进行测量和校准,增加了系统和操作的复杂性。另外,该系统也未实现对燃烧气体产物浓度场的测量。Chinese patent CN 113310857 A designs a system that uses tomographic laser-induced incandescent light to measure the primary particle size distribution of soot particles in a combustion field, and uses an emission spectrum tomography colorimetric temperature measurement system to measure the turbulent flame temperature field. However, when using laser-induced incandescent light to measure particle concentration, it is necessary to first measure and calibrate a standard flame with known soot particle concentration, which increases the complexity of the system and operation. In addition, the system does not realize the measurement of the concentration field of combustion gas products.
因此,如何实现同时对湍流燃烧场的温度、CO2气体浓度和颗粒浓度等多参数的三维分布测量,对燃烧科学的基础研究、燃烧效率的提高和污染物排放的控制等方面有着非常重要的意义。Therefore, how to simultaneously measure the three-dimensional distribution of multiple parameters such as the temperature of the turbulent combustion field, the concentration of CO2 gas, and the concentration of particles is of great importance to the basic research of combustion science, the improvement of combustion efficiency, and the control of pollutant emissions. significance.
发明内容Contents of the invention
为了解决背景技术中提到的至少一个技术问题,本发明的目的在于提供一种湍流燃烧场三维温度、气体浓度、颗粒浓度分布测量系统,对湍流燃烧场的三维温度、CO2气体浓度和颗粒浓度进行同时在线重建,具有非侵入、响应快、灵敏度高等优点。In order to solve at least one technical problem mentioned in the background technology, the object of the present invention is to provide a kind of turbulent combustion field three-dimensional temperature, gas concentration, particle concentration distribution measurement system, the three-dimensional temperature of turbulent combustion field, CO gas concentration and particle concentration Concentration can be reconstructed online at the same time, which has the advantages of non-invasiveness, fast response and high sensitivity.
为实现上述目的,本发明提供如下技术方案:湍流燃烧场三维温度、气体浓度、颗粒浓度分布测量系统,包括:In order to achieve the above object, the present invention provides the following technical solutions: a three-dimensional temperature, gas concentration, and particle concentration distribution measurement system in a turbulent combustion field, including:
H2O激光器,用于发出两条H2O分子红外吸收谱线;H 2 O laser, used to emit two infrared absorption lines of H 2 O molecules;
CO2激光器,用于发出CO2分子红外吸收谱线; CO2 lasers for emitting infrared absorption lines of CO2 molecules;
分束器,令H2O分子红外吸收谱线或CO2分子红外吸收谱线分别分成多路在待测燃烧场的某二维平面内呈网格分布的激光光束;The beam splitter is used to divide the infrared absorption line of H 2 O molecules or the infrared absorption line of CO 2 molecules into multiple laser beams distributed in a grid in a certain two-dimensional plane of the combustion field to be measured;
光电探测器,设置于待测燃烧场周围,用于接收所述激光光束;a photodetector, arranged around the combustion field to be measured, for receiving the laser beam;
移动平台,驱动分束器与光电探测器沿垂直于所述二维平面的方向移动;a mobile platform, driving the beam splitter and the photodetector to move along a direction perpendicular to the two-dimensional plane;
上位机系统,求解二维平面内每一激光光束上的温度,CO2气体浓度和颗粒浓度,通过代数迭代的方式得到二维平面内每一个网格的温度,CO2气体浓度和颗粒浓度;然后通过多个二维平面重构得到待测燃烧场的三维温度、CO2气体浓度和颗粒浓度。The upper computer system solves the temperature,
进一步的,所述温度的求解过程如下:Further, the solution process of the temperature is as follows:
构建谱线强度与温度的关系式:Construct the relationship between spectral line intensity and temperature:
其中,k为玻尔兹曼常数,h为普朗克常数,c为光速,S(T0)表示气体吸收谱线在参考温度T0下的谱线强度,E″表示跃迁频率v0处的低态跃迁能,Q(T)表示吸收气体在温度T下的配分函数,Q(T0)表示吸收气体在参考温度T0下的配分函数;Among them, k is Boltzmann's constant, h is Planck's constant, c is the speed of light, S(T 0 ) represents the spectral line intensity of the gas absorption line at the reference temperature T 0 , E″ represents the transition frequency v 0 The low-state transition energy of , Q(T) represents the partition function of the absorbing gas at temperature T, and Q(T 0 ) represents the partition function of the absorbing gas at the reference temperature T 0 ;
所述配分函数为:The partition function is:
Q(T)=a+bT+cT2+dT3 Q(T)=a+bT+cT 2 +dT 3
其中,a,b,c,d为配分函数的三阶多项式系数;Among them, a, b, c, d are the third-order polynomial coefficients of the partition function;
扫描两条H2O分子红外吸收谱线v1和v2时,可以求得温度:When scanning the two infrared absorption lines v 1 and v 2 of H 2 O molecules, the temperature can be obtained:
其中,S(T)v1为H2O的v1吸收谱线在温度T下的谱线强度,S(T)v2为H2O的v2吸收谱线在温度T下的谱线强度,S(T0)v1为H2O的v1吸收谱线在参考温度T0下的谱线强度,S(T0)v2为H2O的v2吸收谱线在参考温度T0下的谱线强度。Among them, S(T) v1 is the spectral line intensity of the v 1 absorption line of H2O at temperature T, and S(T ) v2 is the spectral line intensity of the v2 absorption line of H2O at temperature T, S(T 0 ) v1 is the spectral line intensity of the v 1 absorption line of H 2 O at the reference temperature T 0 , S(T 0 ) v2 is the v 2 absorption line intensity of H 2 O at the reference temperature T 0 spectral line intensity.
进一步的,所述CO2气体浓度的求解过程如下:Further, the solution process of the CO2 gas concentration is as follows:
构建光线投射强度公式:Construct the raycast intensity formula:
其中,I0表示入射激光强度,It表示出射激光强度,L表示光程,αabs表示气体吸收系数,κext表示颗粒消光系数,Eflame表示火焰辐射强度,P表示气压,Xabs表示吸收气体的浓度,表示气体吸收谱线的线型函数,S(T)表示气体吸收谱线在温度T下的谱线强度;线型函数在整个光谱范围内的积分值为1。Among them, I 0 represents the incident laser intensity, I t represents the outgoing laser intensity, L represents the optical path, α abs represents the gas absorption coefficient, κ ext represents the particle extinction coefficient, E flame represents the flame radiation intensity, P represents the air pressure, and X abs represents the absorption gas concentration, Represents the linear function of the gas absorption line, S(T) represents the spectral line intensity of the gas absorption line at temperature T; the linear function The integral value is 1 over the entire spectral range.
进一步的,所述颗粒浓度的求解过程如下:Further, the solution process of the particle concentration is as follows:
其中,fv为颗粒浓度;λ为激光入射波长,m为负折射率;κabs为颗粒的吸收系数。Among them, f v is the particle concentration; λ is the laser incident wavelength, m is the negative refractive index; κ abs is the absorption coefficient of the particle.
进一步的,气体吸收系数的代数迭代过程如下:Further, the algebraic iteration process of the gas absorption coefficient is as follows:
第j条光束穿过第i个网格的光程记作Li,j,求解方程A=∑αabsL,那么第j条光束穿过整个待测区域的投影吸光度Avm,j表示为:The optical path of the j-th beam passing through the i-th grid is denoted as L i,j , and the equation A=∑α abs L is solved, then the projected absorbance A vm,j of the j-th beam passing through the entire area to be measured is expressed as :
其中,下标vm表示波长为vm的光束,αi表示单个网格内的单位长度吸光度,在迭代算法中,第K次迭代的每个网格内的单位长度吸光度表示为:Among them, the subscript vm represents the beam with the wavelength v m , and αi represents the absorbance per unit length in a single grid. In the iterative algorithm, the absorbance per unit length in each grid of the K-th iteration is expressed as:
迭代过程通过两次相邻迭代过程αvm,i的差值小于ε停止,表示为如下公式;The iterative process stops when the difference between two adjacent iterative processes α vm, i is less than ε, expressed as the following formula;
进一步的,所述分束器前设置有时分复用器,所述时分复用器在时序上交替输出所述H2O分子红外吸收谱线和CO2分子红外吸收谱线。Further, a time-division multiplexer is arranged in front of the beam splitter, and the time-division multiplexer alternately outputs the infrared absorption lines of H 2 O molecules and the infrared absorption lines of CO 2 molecules in time sequence.
进一步的,所述分束器的输出端设置有激光准直器,所述激光准直器用于对分束后的激光光束进行准直。Further, the output end of the beam splitter is provided with a laser collimator, and the laser collimator is used to collimate the split laser beam.
进一步的,所述光电探测器和/或激光准直器外设置有隔热套筒。Further, a heat insulating sleeve is arranged outside the photodetector and/or the laser collimator.
进一步的,所述上位机系统包括数据采集卡和计算机。Further, the host computer system includes a data acquisition card and a computer.
与现有技术相比,本发明的有益效果是:Compared with prior art, the beneficial effect of the present invention is:
本发明基于分子吸收光谱,在同时考虑湍流燃烧场中的气体分子的吸收作用、碳烟的消光作用以及火焰背景辐射共同作用于激光信号时,提出了同时测量并分离分子吸收系数和碳烟消光系数的新方法;然后采用代数迭代重建算法,最终求得温度、CO2气体浓度和颗粒浓度的三维分布,具有非侵入、响应快、灵敏度高等优点。Based on the molecular absorption spectrum, the present invention proposes to simultaneously measure and separate the molecular absorption coefficient and the soot extinction when considering the absorption of gas molecules in the turbulent combustion field, the extinction of soot and the flame background radiation acting together on the laser signal. The new method of the coefficient; then the algebraic iterative reconstruction algorithm is used to finally obtain the three-dimensional distribution of temperature, CO 2 gas concentration and particle concentration, which has the advantages of non-invasive, fast response and high sensitivity.
附图说明Description of drawings
图1为本发明一实施例的整体示意框图。FIG. 1 is an overall schematic block diagram of an embodiment of the present invention.
图2为本发明的两个信号发生器在一个周期内的信号示意图。FIG. 2 is a schematic diagram of signals of two signal generators in one cycle of the present invention.
图3为本发明一实施例的流程示意图。Fig. 3 is a schematic flowchart of an embodiment of the present invention.
图中:1、H2O激光器;1a、第一信号发生器;2、CO2激光器;2a、第二信号发生器;3、合束器;4、时分复用器;5、分束器;6、激光准直器;7、第一隔热套筒;8、光电探测器;9、第二隔热套筒;10、信号放大集成装置;11、数据采集卡;12、计算机。In the figure: 1. H 2 O laser; 1a, first signal generator; 2. CO 2 laser; 2a, second signal generator; 3. beam combiner; 4. time division multiplexer; 5. beam splitter ; 6. Laser collimator; 7. The first heat insulation sleeve; 8. Photoelectric detector; 9. The second heat insulation sleeve; 10. Signal amplification integration device; 11. Data acquisition card; 12. Computer.
具体实施方式detailed description
下面对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The following clearly and completely describes the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only some of the embodiments of the present invention, but not all of them. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.
请参阅图1,本实施例提供一种湍流燃烧场三维温度、气体浓度、颗粒浓度分布测量系统。包括:激光器系统、发射接收测量系统、信号探测和采集系统、三维移动平台。Please refer to FIG. 1 , this embodiment provides a three-dimensional temperature, gas concentration, and particle concentration distribution measurement system in a turbulent combustion field. Including: laser system, emission and reception measurement system, signal detection and acquisition system, three-dimensional mobile platform.
具体来说,激光器系统包括:第一信号发生器1a、第二信号发生器2a、H2O激光器1(用于H2O检测工作在1398.3nm的分布反馈式可调谐半导体激光器)、CO2激光器2(用于CO2检测工作在2001.6nm的分布反馈式可调谐半导体激光器)、合束器3、时分复用器4、分束器5;所述分束器5令H2O分子红外吸收谱线或CO2分子红外吸收谱线分别分成多路在待测燃烧场的某二维平面内呈网格分布的激光光束。Specifically, the laser system includes: a first signal generator 1a, a
发射接收测量系统包括:激光准直器6、第一隔温套筒7、待测燃烧场S、光电探测器8、第二隔温套筒9。第一隔温套筒7和第二隔温套筒9的作用是减少待测湍流燃烧场的辐射影响。The transmitting and receiving measurement system includes: a laser collimator 6 , a first temperature-insulating
信号探测和采集系统包括:信号放大集成装置10、上位机系统;上位机系统包括数据采集卡11和计算机12。The signal detection and acquisition system includes: a signal
三维移动平台包括:移动平台,驱动分束器与光电探测器沿垂直于所述二维平面的方向移动。The three-dimensional mobile platform includes: a mobile platform, which drives the beam splitter and the photodetector to move along a direction perpendicular to the two-dimensional plane.
工作时,第一信号发生器1a在一个周期内产生一段锯齿波信号和一段方波信号,将该信号叠加到激光控制器A,锯齿波信号的叠加使H2O激光器1(1398.3nm)在一段窄带范围里连续扫描,叠加方波信号后对应的驱动电流低于激光器阈值电流,使得激光器在此段无输出信号,也就是激光器输出信号为0。叠加锯齿波信号的激光控制器驱动H2O激光器(1398.3nm),可以同时扫描两条H2O分子红外吸收谱线。When working, the first signal generator 1a generates a sawtooth wave signal and a square wave signal in one period, and superimposes the signal to the laser controller A. The superposition of the sawtooth wave signal makes the H 2 O laser 1 (1398.3nm) in Continuous scanning in a narrow band range, the corresponding driving current after superimposing the square wave signal is lower than the laser threshold current, so that the laser has no output signal in this segment, that is, the laser output signal is 0. A laser controller superimposed with a sawtooth wave signal drives an H 2 O laser (1398.3nm), which can simultaneously scan two infrared absorption lines of H 2 O molecules.
第二信号发生器2a在一个周期内产生一段锯齿波信号和一段方波信号,将该信号叠加到激光控制器B,锯齿波信号的叠加使CO2激光器2(2001.6nm)在一段窄带范围里连续扫描,叠加方波信号后对应的驱动电流低于激光器阈值电流,使得激光器在此段无输出信号,也就是激光器输出信号为0。叠加锯齿波信号的激光控制器驱动CO2激光器(2001.6nm),可以扫描单条CO2分子红外吸收谱线,用于CO2浓度测量,两个信号发生器在一个周期内的信号如图2所示。The
两个激光器光束通过尾纤输出后,通过合束器3合束,再经过时分复用器4,最后由分束器5将光束均分成18路。其中,9路光束由待测燃烧场S的右侧的激光准直器6准直,9路光束由待测燃烧场S的下侧的激光准直器6准直。18路光束共同穿越流场区域后,分别被18个光电探测器8接收。After the two laser beams are output through the pigtails, they are combined by the
光电探测器8探测信号被信号放大集成装置10进一步放大,多信号放大集成装置10包括一级跨阻放大器和二级信号放大器,通过对两级放大器阻值的调节,实现最终信号的放大。数据采集卡同步采集放大后的信号,然后传输至计算机对采集信号进行数据处理。The detection signal of the
待测燃烧场S运行前,数据采集卡可以得到激光背景信号。点燃待测燃烧器后,数据采集卡在一个周期内可以同时获得H2O分子吸收信号、CO2分子吸收信号、颗粒吸收信号和火焰背景辐射信号。采集卡的数据传输至计算机,对分子吸收系数和碳烟消光系数进行分离,可以同时得到每条光路的H2O分子吸光度、CO2分子吸光度和碳烟消光度。Before the operation of the combustion field S to be tested, the data acquisition card can obtain the laser background signal. After the burner to be tested is ignited, the data acquisition card can simultaneously obtain H 2 O molecular absorption signals, CO 2 molecular absorption signals, particle absorption signals and flame background radiation signals within one cycle. The data from the acquisition card is transmitted to the computer, and the molecular absorption coefficient and soot extinction coefficient are separated, and the H 2 O molecular absorbance, CO 2 molecular absorbance and soot extinction coefficient of each optical path can be obtained at the same time.
将待测燃烧器每一层的二维区域划分为9×9共81个网格,根据每条光路的H2O分子吸光度、CO2分子吸光度和碳烟消光度,采用代数迭代方法对获得燃烧场温度分布、CO2气体浓度分布和碳烟颗粒浓度二维分布进行求解,通过移动平台沿第三维方向的移动对9层二维区域进行重建,建立9×9×9共729个网格的空间坐标系内温度分布、CO2气体浓度分布和碳烟颗粒浓度分布,进而实现湍流燃烧场三维温度、CO2气体浓度和颗粒浓度的在线测量,多参数三维测量系统流程图如图3所示。Divide the two - dimensional area of each layer of the burner to be tested into a total of 81 grids of 9×9, and use the algebraic iterative method to obtain The temperature distribution of the combustion field, the CO 2 gas concentration distribution and the two-dimensional distribution of the soot particle concentration are solved, and the nine-layer two-dimensional area is reconstructed by moving the mobile platform along the third dimension, and a total of 729 grids of 9×9×9 are established The temperature distribution, CO 2 gas concentration distribution and soot particle concentration distribution in the spatial coordinate system, and then realize the online measurement of the three-dimensional temperature, CO 2 gas concentration and particle concentration of the turbulent combustion field. The flow chart of the multi-parameter three-dimensional measurement system is shown in Figure 3 Show.
光线投射强度公式:Raycast Intensity Formula:
式中,I0表示入射激光强度,It表示出射激光强度,L表示光程,αabs表示气体吸收系数,κext表示颗粒消光系数,Eflame表示火焰辐射强度,P表示压力,Xabs表示吸收气体的浓度,表示气体吸收谱线的线型函数,S(T)表示气体吸收谱线在温度T下的谱线强度。其中,线型函数在整个光谱范围内的积分值为1,谱线强度ST只与温度、谱线位置有关,可以表示为:In the formula, I 0 represents the incident laser intensity, I t represents the outgoing laser intensity, L represents the optical path, α abs represents the gas absorption coefficient, κ ext represents the particle extinction coefficient, E flame represents the flame radiation intensity, P represents the pressure, and X abs represents The concentration of the absorbed gas, Represents the linear function of the gas absorption line, and S(T) represents the line intensity of the gas absorption line at temperature T. Among them, the linear function The integral value in the entire spectral range is 1, and the spectral line intensity S T is only related to temperature and spectral line position, which can be expressed as:
其中,k为玻尔兹曼常数,h为普朗克常数,c为光速,S(T0)表示气体吸收谱线在参考温度T0下的谱线强度,E″表示跃迁频率v0处的低态跃迁能,Q(T)表示吸收气体在温度T下的配分函数,Q(T0)表示吸收气体在参考温度T0下的配分函数。配分函数可以简化为关于温度的三阶多项式,表示为:Among them, k is Boltzmann's constant, h is Planck's constant, c is the speed of light, S(T 0 ) represents the spectral line intensity of the gas absorption line at the reference temperature T 0 , E″ represents the transition frequency v 0 The low-state transition energy of , Q(T) represents the partition function of the absorbing gas at temperature T, and Q(T 0 ) represents the partition function of the absorbing gas at the reference temperature T 0. The partition function can be simplified as a third-order polynomial with respect to temperature ,Expressed as:
Q(T)=a+bT+cT2+dT3 Q(T)=a+bT+cT 2 +dT 3
对于H2O分子和CO2分子,在低温70~500K范围、中温500~1500K范围、高温1500~3005K范围内的配分函数的三阶多项式系数分别如表1.1和表2.2所示。For H 2 O molecules and CO 2 molecules, the third-order polynomial coefficients of the partition function in the range of low temperature 70-500K, medium temperature 500-1500K, and high temperature 1500-3005K are shown in Table 1.1 and Table 2.2, respectively.
表1.1 H2O分子不同温度下的配分函数的三阶多项式系数Table 1.1 The third-order polynomial coefficients of the partition function of H 2 O molecules at different temperatures
表2.1 CO2分子不同温度下的配分函数的三阶多项式系数Table 2.1 Third-order polynomial coefficients of the partition function of CO2 molecule at different temperatures
根据双线法测温,扫描H2O的v1、v2两条吸收谱线时,可以求得温度,表示为:According to the temperature measurement by the double-line method, when scanning the two absorption lines v 1 and v 2 of H 2 O, the temperature can be obtained, expressed as:
S(T)v1为H2O的v1吸收谱线在温度T下的谱线强度,S(T)v2为H2O的v2吸收谱线在温度T下的谱线强度,S(T0)v1为H2O的v1吸收谱线在参考温度T0下的谱线强度,S(T0)v2为H2O的v2吸收谱线在参考温度T0下的谱线强度。S(T) v1 is the line intensity of the v 1 absorption line of H 2 O at temperature T, S(T) v2 is the line intensity of the v 2 absorption line of H 2 O at temperature T, S( T 0 ) v1 is the spectral line intensity of the v 1 absorption line of H 2 O at the reference temperature T 0 , S(T 0 ) v2 is the spectral line of the v 2 absorption line of H 2 O at the reference temperature T 0 strength.
根据Rayleigh假设,计算消光系数κext时,只考虑颗粒的吸收作用,忽略散射、反射等作用对激光强度的影响,即假设颗粒的消光系数κext≈κabs,κabs为颗粒的吸收系数。颗粒浓度fv可以表示为:According to the Rayleigh hypothesis, when calculating the extinction coefficient κ ext , only the absorption of particles is considered, and the effects of scattering and reflection on the laser intensity are ignored, that is, the extinction coefficient of particles is assumed to be κ ext ≈ κ abs , and κ abs is the absorption coefficient of particles. The particle concentration f v can be expressed as:
式中,λ为激光入射波长,m为负折射率。In the formula, λ is the laser incident wavelength, and m is the negative refractive index.
由于气体吸收具有选择性,仅存在于激光波长扫描范围内很窄的一段波长范围内,而颗粒的消光作用在整个激光波长扫描范围是普遍存在的。另外,火焰辐射信号是火焰的固有属性,与是否有激光输出无关。因此,在激光器输出信号为0时,测得的信号即为火焰辐射强度;激光器正常输出信号并叠加锯齿波信号时,同时对气体吸收信号和颗粒的消光信号进行探测,并将其有效分离。Due to the selectivity of gas absorption, it only exists in a narrow range of wavelengths within the laser wavelength scanning range, while the extinction of particles is ubiquitous in the entire laser wavelength scanning range. In addition, the flame radiation signal is an inherent attribute of the flame, and has nothing to do with whether there is laser output. Therefore, when the laser output signal is 0, the measured signal is the flame radiation intensity; when the laser output signal is normal and the sawtooth signal is superimposed, the gas absorption signal and the particle extinction signal are simultaneously detected and effectively separated.
为了实现三维求解,首先将三维空间划分为沿第三维方向的9个二维空间,对每个二维空间进行分别求解。在每个二维空间内,划分为9×9个网格,假设每个网格内的各物理参数是相同的。通过代数迭代的方法求解方程A=∑αabsL和K=∑κabsL,得到每个网格内的αabs和κabs,由每个网格内的αabs进而得到每个网格内的温度和气体浓度,由每个网格内的κabs进而得到每个网格内的颗粒浓度。In order to realize the three-dimensional solution, the three-dimensional space is firstly divided into nine two-dimensional spaces along the third dimension, and each two-dimensional space is solved separately. In each two-dimensional space, it is divided into 9×9 grids, and it is assumed that the physical parameters in each grid are the same. Solve the equations A=∑α abs L and K=∑κ abs L by means of algebraic iteration to obtain α abs and κ abs in each grid, and then obtain the α abs in each grid from the α abs in each grid The temperature and gas concentration of , the particle concentration in each grid can be obtained from the κ abs in each grid.
将二维区域划分为N×N的网格,假设每个网格内气体的压力、温度、浓度等物理参数是相同的。第j条光束穿过第i个网格的光程记作Li,j,求解方程A=∑αabsL,那么第j条光束穿过整个待测区域的投影吸光度Avm,j可以表示为:Divide the two-dimensional area into N×N grids, assuming that the physical parameters such as pressure, temperature, and concentration of the gas in each grid are the same. The optical path of the j-th beam passing through the i-th grid is denoted as L i,j , and the equation A=∑α abs L is solved, then the projected absorbance A vm,j of the j-th beam passing through the entire area to be measured can be expressed for:
其中,下标vm表示波长为vm的光束,αi表示单个网格内的单位长度吸光度。在迭代算法中,第K次迭代的每个网格内的单位长度吸光度可以表示为:Among them, the subscript vm indicates the beam with wavelength vm, and αi indicates the absorbance per unit length in a single grid. In the iterative algorithm, the absorbance per unit length in each grid of the Kth iteration can be expressed as:
迭代过程通过两次相邻迭代过程αvm,i的差值小于ε停止,表示为如下公式,本文选用的迭代停止标准为ε=1.0×10-10。The iterative process stops when the difference of α vm, i between two adjacent iterative processes is less than ε, which is expressed as the following formula. The iterative stop criterion chosen in this paper is ε=1.0×10 -10 .
求解K=∑κabsL的过程与求解方程A=∑αabsL过程类似,如下:。The process of solving K=∑κ abs L is similar to the process of solving equation A=∑α abs L, as follows:.
迭代过程通过两次相邻迭代过程αvm,i的差值小于ε停止,表示为如下公式,本文选用的迭代停止标准为ε=1.0×10-10。The iterative process stops when the difference of α vm, i between two adjacent iterative processes is less than ε, which is expressed as the following formula. The iterative stop criterion chosen in this paper is ε=1.0×10 -10 .
对于本领域技术人员而言,显然本发明不限于上述示范性实施例的细节,而且在不背离本发明的精神或基本特征的情况下,能够以其他的具体形式实现本发明。因此,无论从哪一点来看,均应将实施例看作是示范性的,而且是非限制性的,本发明的范围由所附权利要求而不是上述说明限定,因此旨在将落在权利要求的等同要件的含义和范围内的所有变化囊括在本发明内。It will be apparent to those skilled in the art that the invention is not limited to the details of the above-described exemplary embodiments, but that the invention can be embodied in other specific forms without departing from the spirit or essential characteristics of the invention. Accordingly, the embodiments should be regarded in all points of view as exemplary and not restrictive, the scope of the invention being defined by the appended claims rather than the foregoing description, and it is therefore intended that the scope of the invention be defined by the appended claims rather than by the foregoing description. All changes within the meaning and range of equivalents of the elements are embraced in the present invention.
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