[go: up one dir, main page]
More Web Proxy on the site http://driver.im/

CN114880919B - Method for calculating optimal internal and external desulfurization proportion of circulating fluidized bed unit - Google Patents

Method for calculating optimal internal and external desulfurization proportion of circulating fluidized bed unit Download PDF

Info

Publication number
CN114880919B
CN114880919B CN202210298473.9A CN202210298473A CN114880919B CN 114880919 B CN114880919 B CN 114880919B CN 202210298473 A CN202210298473 A CN 202210298473A CN 114880919 B CN114880919 B CN 114880919B
Authority
CN
China
Prior art keywords
furnace
desulfurization
cost
formula
limestone
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Active
Application number
CN202210298473.9A
Other languages
Chinese (zh)
Other versions
CN114880919A (en
Inventor
张洪福
高明明
岳光溪
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Tsinghua University
North China Electric Power University
Huaneng Group Technology Innovation Center Co Ltd
Original Assignee
Tsinghua University
North China Electric Power University
Huaneng Group Technology Innovation Center Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Tsinghua University, North China Electric Power University, Huaneng Group Technology Innovation Center Co Ltd filed Critical Tsinghua University
Priority to CN202210298473.9A priority Critical patent/CN114880919B/en
Publication of CN114880919A publication Critical patent/CN114880919A/en
Application granted granted Critical
Publication of CN114880919B publication Critical patent/CN114880919B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Classifications

    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • G06F30/27Design optimisation, verification or simulation using machine learning, e.g. artificial intelligence, neural networks, support vector machines [SVM] or training a model
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06NCOMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N3/00Computing arrangements based on biological models
    • G06N3/12Computing arrangements based on biological models using genetic models
    • G06N3/126Evolutionary algorithms, e.g. genetic algorithms or genetic programming
    • GPHYSICS
    • G16INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS
    • G16CCOMPUTATIONAL CHEMISTRY; CHEMOINFORMATICS; COMPUTATIONAL MATERIALS SCIENCE
    • G16C20/00Chemoinformatics, i.e. ICT specially adapted for the handling of physicochemical or structural data of chemical particles, elements, compounds or mixtures
    • G16C20/10Analysis or design of chemical reactions, syntheses or processes
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00Details relating to CAD techniques
    • G06F2111/08Probabilistic or stochastic CAD
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2113/00Details relating to the application field
    • G06F2113/08Fluids
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/06Power analysis or power optimisation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/08Thermal analysis or thermal optimisation

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Evolutionary Computation (AREA)
  • Biophysics (AREA)
  • Health & Medical Sciences (AREA)
  • Bioinformatics & Cheminformatics (AREA)
  • Bioinformatics & Computational Biology (AREA)
  • Artificial Intelligence (AREA)
  • Chemical & Material Sciences (AREA)
  • Software Systems (AREA)
  • General Physics & Mathematics (AREA)
  • Evolutionary Biology (AREA)
  • General Engineering & Computer Science (AREA)
  • Computing Systems (AREA)
  • Analytical Chemistry (AREA)
  • Physiology (AREA)
  • Computational Linguistics (AREA)
  • Data Mining & Analysis (AREA)
  • Genetics & Genomics (AREA)
  • General Health & Medical Sciences (AREA)
  • Molecular Biology (AREA)
  • Biomedical Technology (AREA)
  • Chemical Kinetics & Catalysis (AREA)
  • Mathematical Physics (AREA)
  • Crystallography & Structural Chemistry (AREA)
  • Computer Vision & Pattern Recognition (AREA)
  • Medical Informatics (AREA)
  • Computer Hardware Design (AREA)
  • Geometry (AREA)
  • Treating Waste Gases (AREA)

Abstract

本发明公开了一种计算循环流化床机组最佳炉内外脱硫比例的方法,首先,建立CFB机组炉内外脱硫综合成本模型,选择负荷、煤质、给煤量、总风量、床温、石灰石输送风机额定功率、浆液循环泵额定功率、炉内石灰石给料流率、喷氨量、原烟气SO2浓度、净烟气SO2浓度作为输入变量;在建立所述综合成本模型时,确定炉内脱硫效率与负荷、钙硫摩尔比、床温、风煤比的关系式;接着,利用步骤1所选择的综合成本模型的输入,确定SO2生成浓度,假定炉内脱硫比例后,建立CFB机组典型负荷工况下的炉内外脱硫综合成本模型;最后,利用智能寻优算法求解典型负荷工况下的最佳炉内脱硫比例,拟合得到各负荷工况下的最佳炉内脱硫比例。

The invention discloses a method for calculating the optimal in-furnace desulfurization ratio of a circulating fluidized bed unit. First, a comprehensive cost model of in-furnace desulfurization of a CFB unit is established, and load, coal quality, coal feed amount, total air volume, bed temperature, limestone conveying fan rated power, slurry circulation pump rated power, limestone feed flow rate in the furnace, ammonia injection amount, raw flue gas SO2 concentration, and net flue gas SO2 concentration are selected as input variables; when establishing the comprehensive cost model, a relationship between the in-furnace desulfurization efficiency and the load, calcium-sulfur molar ratio, bed temperature, and air-coal ratio is determined; then, the SO2 generation concentration is determined by using the input of the comprehensive cost model selected in step 1, and after assuming the in-furnace desulfurization ratio, a comprehensive cost model of in-furnace desulfurization of the CFB unit under typical load conditions is established; finally, an intelligent optimization algorithm is used to solve the optimal in-furnace desulfurization ratio under typical load conditions, and the optimal in-furnace desulfurization ratio under various load conditions is obtained by fitting.

Description

一种计算循环流化床机组最佳炉内外脱硫比例的方法A method for calculating the optimal ratio of internal and external desulfurization in circulating fluidized bed units

技术领域Technical Field

本发明属于火电机组污染物控制优化领域,涉及一种计算循环流化床机组最佳炉内外脱硫比例的方法。The invention belongs to the field of pollutant control optimization of thermal power units and relates to a method for calculating an optimal desulfurization ratio inside and outside the furnace of a circulating fluidized bed unit.

背景技术Background technique

循环流化床(CFB)机组具有燃烧稳定性强、污染物处理成本低的优势,通过炉内脱硫就可达到低排放的标准,工艺流程简单。随着我国对燃煤发电机组污染物排放提出了超低排放标准后,为实现超低排放,循环流化床机组加装了炉外脱硫(烟气脱硫)设备,通过炉内炉外组合脱硫的方式实现超低排放,SO2的超低排放标准是≤35mg/m3。当前对于CFB机组最佳炉内外脱硫比例的研究较少,现场运行缺乏指导。现场运行人员经常通过调整炉内脱硫的钙硫比,保证炉膛出口原烟气SO2浓度在某一固定范围,确保经炉外脱硫后,SO2排放浓度低小于35mg/m3。该运行方式虽然简单,但未考虑炉内/炉外脱硫效率、运行成本在机组不同负荷工况下的变化规律,使得CFB机组脱硫物耗增加,脱硫成本变高,降低了机组的运行经济性。Circulating fluidized bed (CFB) units have the advantages of strong combustion stability and low pollutant treatment costs. They can achieve low emission standards through in-furnace desulfurization, and the process flow is simple. As China has proposed ultra-low emission standards for pollutant emissions from coal-fired power generation units, in order to achieve ultra-low emissions, circulating fluidized bed units are equipped with off-furnace desulfurization (flue gas desulfurization) equipment, and ultra-low emissions are achieved through a combination of in-furnace and off-furnace desulfurization. The ultra-low emission standard for SO 2 is ≤35mg/m 3. Currently, there is little research on the optimal in-furnace desulfurization ratio for CFB units, and there is a lack of guidance for on-site operation. On-site operators often adjust the calcium-sulfur ratio of in-furnace desulfurization to ensure that the SO 2 concentration of the original flue gas at the furnace outlet is within a certain fixed range, ensuring that after off-furnace desulfurization, the SO 2 emission concentration is less than 35mg/m 3 . Although this operation mode is simple, it does not take into account the changing patterns of the in-furnace/out-of-furnace desulfurization efficiency and operating costs under different load conditions of the unit, which increases the desulfurization material consumption of the CFB unit, increases the desulfurization cost, and reduces the operating economy of the unit.

发明目的Purpose of the Invention

本发明的目的即在于解决现有技术中CFB机组炉内外脱硫比例分配不佳、脱硫运行经济性差的问题,提供了一种计算循环流化床机组最佳炉内外脱硫比例的方法,在CFB机组炉内外脱硫综合成本模型的基础上,利用遗传算法求解炉内外脱硫比例,有利于解决因各负荷工况下的炉内外脱硫比例不佳所导致的脱硫成本增大等问题,从而降低CFB机组脱硫系统的运行成本。The purpose of the present invention is to solve the problems of poor distribution of the desulfurization ratio inside and outside the furnace and poor desulfurization operation economy of the CFB unit in the prior art, and provide a method for calculating the optimal desulfurization ratio inside and outside the furnace of a circulating fluidized bed unit. On the basis of the comprehensive cost model of the desulfurization inside and outside the furnace of the CFB unit, a genetic algorithm is used to solve the desulfurization ratio inside and outside the furnace, which is conducive to solving the problems such as increased desulfurization cost caused by the poor desulfurization ratio inside and outside the furnace under various load conditions, thereby reducing the operating cost of the desulfurization system of the CFB unit.

发明内容Summary of the invention

本发明提供了一种计算循环流化床机组最佳炉内外脱硫比例的方法,包括以下步骤:The present invention provides a method for calculating an optimal desulfurization ratio of inside and outside the furnace of a circulating fluidized bed unit, comprising the following steps:

步骤1、建立CFB机组炉内外脱硫综合成本模型,选择负荷、煤质、给煤量、总风量、床温、石灰石输送风机额定功率、浆液循环泵额定功率、炉内石灰石给料流率、喷氨量、原烟气SO2浓度、净烟气SO2浓度作为所述综合成本模型的输入变量;Step 1, establish a comprehensive cost model for desulfurization inside and outside the furnace of the CFB unit, and select load, coal quality, coal feed rate, total air volume, bed temperature, limestone conveying fan rated power, slurry circulation pump rated power, limestone feed flow rate in the furnace, ammonia injection amount, raw flue gas SO2 concentration, and net flue gas SO2 concentration as input variables of the comprehensive cost model;

步骤2、在建立所述综合成本模型时,确定炉内脱硫效率与负荷、钙硫摩尔比、床温、风煤比的关系式;Step 2: when establishing the comprehensive cost model, determine the relationship between the desulfurization efficiency in the furnace and the load, calcium-sulfur molar ratio, bed temperature, and air-coal ratio;

步骤3、利用步骤1所选择的综合成本模型的输入,确定SO2生成浓度,假定炉内脱硫比例后,建立CFB机组典型负荷工况下的炉内外脱硫综合成本模型;Step 3: Using the input of the comprehensive cost model selected in step 1, determine the SO2 generation concentration, assume the desulfurization ratio in the furnace, and establish a comprehensive cost model for desulfurization inside and outside the furnace under typical load conditions of the CFB unit;

步骤4、利用智能寻优算法求解典型负荷工况下的最佳炉内脱硫比例,拟合得到各负荷工况下的最佳炉内脱硫比例。Step 4: Use the intelligent optimization algorithm to solve the optimal in-furnace desulfurization ratio under typical load conditions, and fit the optimal in-furnace desulfurization ratio under each load condition.

优选地,步骤1中所述建立CFB机组炉内外脱硫综合成本模型的过程为:将所述炉内外组合脱硫总成本定义为包括:设备电耗成本、炉内脱硝成本、热损失成本、石灰石用量成本,所述综合成本为脱硫总成本减去石膏所产生的收益;其中,所述石灰石用量成本包括炉内脱硫石灰石用量成本、炉外脱硫石灰石用量成本;所述设备电耗成本包括炉内石灰石输送风机电耗、炉外浆液循环泵电耗;所述炉内脱硝成本随着炉内脱硫钙硫摩尔比的增大,炉内脱硝成本而增大;当炉内脱硫效率不变时,钙硫摩尔比越低,则热损失成本越低,折算成的煤耗量越低;所述炉内脱硫石灰石用量由炉内脱硫钙硫摩尔比、炉内脱硫效率、煤质决定,所述炉内脱硫效率与负荷、钙硫摩尔比、床温、风煤比相关;所述炉外脱硫石灰石用量与炉外脱硫效率相关;Preferably, the process of establishing the comprehensive cost model of the internal and external desulfurization of the CFB unit in step 1 is: the total cost of the combined internal and external desulfurization is defined as including: equipment power consumption cost, furnace denitrification cost, heat loss cost, and limestone usage cost, and the comprehensive cost is the total desulfurization cost minus the income generated by gypsum; wherein the limestone usage cost includes the limestone usage cost of the furnace desulfurization and the limestone usage cost of the external desulfurization; the equipment power consumption cost includes the power consumption of the limestone conveying fan in the furnace, The power consumption of the slurry circulation pump outside the furnace; the cost of denitration in the furnace increases with the increase of the calcium-sulfur molar ratio of desulfurization in the furnace; when the desulfurization efficiency in the furnace remains unchanged, the lower the calcium-sulfur molar ratio, the lower the heat loss cost, and the lower the converted coal consumption; the amount of limestone used for desulfurization in the furnace is determined by the calcium-sulfur molar ratio of desulfurization in the furnace, the desulfurization efficiency in the furnace, and the coal quality. The desulfurization efficiency in the furnace is related to the load, calcium-sulfur molar ratio, bed temperature, and air-coal ratio; the amount of limestone used for desulfurization outside the furnace is related to the desulfurization efficiency outside the furnace;

将所述炉内脱硫效率表示为如式(1)所示:The desulfurization efficiency in the furnace It is expressed as shown in formula (1):

式(1)中,Wc为给煤量,Sar为硫含量,Air为总风量,kf为无量纲的烟气折算系数,是标况下原烟气SO2浓度;In formula (1), Wc is the coal feed rate, Sar is the sulfur content, Air is the total air volume, and kf is the dimensionless flue gas conversion coefficient. is the original flue gas SO 2 concentration under standard conditions;

将所述炉外脱硫效率表示为如式(2)所示:The off-furnace desulfurization efficiency It is expressed as shown in formula (2):

式(2)中,标况下是净烟气SO2浓度。In formula (2), under standard conditions is the net flue gas SO2 concentration.

优选地,步骤2中,采用最小二乘法拟合典型负荷工况下炉内脱硫效率与负荷、钙硫摩尔比、床温的关系式,利用风煤比对该关系式的系数进行修正,具体包括以下子步骤:Preferably, in step 2, the least square method is used to fit the relationship between the desulfurization efficiency in the furnace and the load, the calcium-sulfur molar ratio, and the bed temperature under typical load conditions, and the coefficient of the relationship is corrected using the air-coal ratio, which specifically includes the following sub-steps:

子步骤S21、选取典型负荷工况下的床温、给煤量、总风量、煤质、原烟气SO2浓度、炉内石灰石给料流率;Sub-step S21, selecting bed temperature, coal feed rate, total air volume, coal quality, raw flue gas SO2 concentration, and limestone feed flow rate in the furnace under typical load conditions;

子步骤S22、计算得到典型负荷工况下炉内脱硫效率、风煤比、钙硫摩尔比,其中,所述炉内脱硫钙硫摩尔比的计算由式(3)所示:Sub-step S22, calculating the furnace desulfurization efficiency, air-coal ratio, and calcium-sulfur molar ratio under typical load conditions, wherein the calculation of the furnace desulfurization calcium-sulfur molar ratio is shown in formula (3):

式(3)中,为石灰石的纯度,为炉内石灰石给料流率;In formula (3), is the purity of limestone, is the limestone feed flow rate in the furnace;

子步骤S23、采用最小二乘法拟合典型负荷工况下炉内脱硫效率与钙硫摩尔比、床温的关系式,表示为如式(4)所示:Sub-step S23, using the least squares method to fit the relationship between the furnace desulfurization efficiency, the calcium-sulfur molar ratio, and the bed temperature under typical load conditions, is expressed as shown in formula (4):

式(4)中,A为无量纲系数,B为床温的函数,mCFB为炉内钙硫摩尔比;In formula (4), A is a dimensionless coefficient, B is a function of bed temperature, and m CFB is the molar ratio of calcium to sulfur in the furnace;

子步骤S24、根据运行数据,利用典型负荷工况下的风煤比修正A,最终得到典型负荷工况下炉内脱硫效率与钙硫摩尔比、床温的关系式。Sub-step S24, based on the operating data, using the air-coal ratio under typical load conditions to correct A, and finally obtaining the relationship between the furnace desulfurization efficiency and the calcium-sulfur molar ratio and the bed temperature under typical load conditions.

优选地,步骤3中,假定炉内脱硫比例后,确定石灰石输送风机电耗、浆液循环泵电耗、炉内外脱硫的石灰石消耗量,其中,石灰石输送风机电耗由炉内石灰石给料流率、石灰石输送风机额定功率确定,浆液循环泵电耗由投运的循环泵台数、额定功率确定,具体包括以下子步骤:Preferably, in step 3, after assuming the desulfurization ratio in the furnace, the power consumption of the limestone conveying fan, the power consumption of the slurry circulation pump, and the limestone consumption for desulfurization inside and outside the furnace are determined, wherein the power consumption of the limestone conveying fan is determined by the limestone feed flow rate in the furnace and the rated power of the limestone conveying fan, and the power consumption of the slurry circulation pump is determined by the number of circulating pumps put into operation and the rated power, specifically comprising the following sub-steps:

子步骤S31、通过最小二乘法拟合炉外脱硫效率与原烟气SO2浓度、总风量之间的关系,表示为如式(6)所示:Sub-step S31, fitting the relationship between the desulfurization efficiency outside the furnace and the original flue gas SO2 concentration and the total air volume by the least square method, expressed as shown in formula (6):

式(6)中,a1、a2、a3为模型系数;In formula (6), a 1 , a 2 , and a 3 are model coefficients;

子步骤S32、假定某个典型负荷工况下炉内脱硫比例为x,则炉外脱硫比例为1-x,结合式(1)和式(4),确定出炉内脱硫的钙硫摩尔比mCFBSub-step S32: Assuming that the desulfurization ratio in the furnace is x under a typical load condition, the desulfurization ratio outside the furnace is 1-x, and combining equation (1) and equation (4), the calcium-sulfur molar ratio m CFB of the desulfurization in the furnace is determined;

子步骤S33、将所述炉内石灰石用量成本W1表示为如式(7)所示:Sub-step S33: the limestone consumption cost W1 in the furnace is expressed as shown in formula (7):

式(7)中,MCaCO3、MCao分别为CaCO3、CaO的相对分子质量,单位为g/mol;u1为炉内石灰石单价,单位为元/kg;In formula (7), M CaCO 3 and M Cao are the relative molecular masses of CaCO 3 and CaO, respectively, in g/mol; u1 is the unit price of limestone in the furnace, in yuan/kg;

将所述热损失成本W2表示为如式(8)所示:The heat loss cost W2 is expressed as shown in formula (8):

W2=Wc[η/(η-Δη)-1]u2 (8),W 2 =W c [η/(η-Δη)-1]u 2 (8),

式(8)中,η是锅炉设计效率;Δη是锅炉热损失;u2为燃煤的单价,单位为元/kg;In formula (8), η is the boiler design efficiency; Δη is the boiler heat loss; u 2 is the unit price of coal, in yuan/kg;

将所述脱硝成本W3表示为如式(9)所示:The denitrification cost W 3 is expressed as shown in formula (9):

W3=k1mCFBWcu3 (9),W 3 = k 1 m CFB W c u 3 (9),

式(9)中,k1为成本系数;u3为尿素单价,单位为元/kg;In formula (9), k 1 is the cost coefficient; u 3 is the unit price of urea, in yuan/kg;

将所述输送风机电耗成本W4表示为如式(10)所示:The power consumption cost W 4 of the conveying fan is expressed as shown in formula (10):

式(10)中,α为压缩空气系数;u4为上网电价,单位为元/kWh;In formula (10), α is the compressed air coefficient; u 4 is the on-grid electricity price, in yuan/kWh;

将所述炉外石灰石用量成本W5表示为如式(11)所示:The cost of limestone consumption outside the furnace W5 is expressed as shown in formula (11):

式(11)中,mCFB,wet为炉外钙硫摩尔比;u5为炉外石灰石单价,单位为元/t。In formula (11), mCFB ,wet is the molar ratio of calcium to sulfur outside the furnace; u5 is the unit price of limestone outside the furnace, in yuan/t.

将所述循环泵电耗W6表示为如式(12)所示:The circulating pump power consumption W6 is expressed as shown in formula (12):

式(12)中,n为启动的浆液循环泵台数,由原烟气SO2浓度与负荷决定;Pw为单台浆液循环泵的功率,单位为kW;In formula (12), n is the number of slurry circulation pumps started, which is determined by the original flue gas SO2 concentration and load; Pw is the power of a single slurry circulation pump, in kW;

将所述石膏收益V7表示为如式(13)所示:The gypsum benefit V7 is expressed as shown in formula (13):

其中,η(H2O)为石膏含水率;u8为石膏单价,单位为元/kg;Among them, η(H 2 O) is the water content of gypsum; u 8 is the unit price of gypsum, in yuan/kg;

将所述炉内外组合脱硫综合成本f(x)表示为如式(14)所示:The comprehensive cost of combined desulfurization inside and outside the furnace f(x) is expressed as shown in formula (14):

f(x)W1+W2+W3+W4+W5+W6-V7 0≤X≤Xmax(14),f(x)W1+W2+W3+W4+W5+W6-V7 0≤X≤Xmax(14),

式(14)中,W1、W2、W3、W4、W5、W6、V7均通过炉内脱硫比例x确定,分别为炉内石灰石用量成本、热损失成本、脱硝成本、输送风机电耗成本、炉外石灰石用量成本、循环泵电耗、石膏收益;xmax由CFB机组炉内脱硫能力决定。In formula (14), W1 , W2 , W3 , W4 , W5 , W6 , and V7 are all determined by the furnace desulfurization ratio x, and are respectively the furnace limestone consumption cost, heat loss cost, denitrification cost, conveying fan power consumption cost, furnace limestone consumption cost, circulation pump power consumption, and gypsum revenue; xmax is determined by the furnace desulfurization capacity of the CFB unit.

优选地,步骤4中,典型负荷工况下的最佳炉内脱硫比例为遗传算法优化炉内外脱硫最小综合成本所得到的解,其中,所述遗传算法优化过程包括以下子步骤:Preferably, in step 4, the optimal in-furnace desulfurization ratio under typical load conditions is the solution obtained by optimizing the minimum comprehensive cost of in-furnace and out-of-furnace desulfurization by genetic algorithm, wherein the genetic algorithm optimization process includes the following sub-steps:

子步骤S41、编码:选择无符号二进制整数来表示个体xiSub-step S41, encoding: selecting an unsigned binary integer to represent the individual x i ;

子步骤S42、产生初始群体:随机生成N个个体作为初始群体,设置迭代次数为n;Sub-step S42, generating an initial population: randomly generating N individuals as the initial population, and setting the number of iterations to n;

子步骤S43、适应度计算:利用综合成本函数值g(xi)作为个体xi的适应度,选择如式(15)所示的适应度函:Sub-step S43, fitness calculation: using the comprehensive cost function value g( xi) as the fitness of individual xi , select the fitness function shown in formula (15):

g(xi)=minf(xi) (15);g( xi ) = minf( xi ) (15);

子步骤S44、选择、交叉、变异运算:把当前群体中适应度较高的个体遗传到下一代;采用单点交叉的方法进行交叉运算,采用基本位变异的方法进行变异运算,产省下一代的群体,迭代次数增加1;Sub-step S44, selection, crossover, and mutation operations: pass the individuals with higher fitness in the current group to the next generation; use the single-point crossover method to perform crossover operations, and use the basic bit mutation method to perform mutation operations, so as to save the next generation of groups, and the number of iterations increases by 1;

子步骤S45、终止条件判断:若迭代次数大于等于n,则终止计算,将所得到的具有最小适应度个体作为最优解输出,即为最佳炉内外脱硫比例;否则返回子步骤S43。Sub-step S45, termination condition judgment: if the number of iterations is greater than or equal to n, the calculation is terminated, and the individual with the minimum fitness is output as the optimal solution, that is, the optimal desulfurization ratio inside and outside the furnace; otherwise, return to sub-step S43.

进一步优选地,群体数N=20,终止迭代次数n=80,交叉概率为0.4,变异概率为0.001。Further preferably, the number of populations N=20, the number of termination iterations n=80, the crossover probability is 0.4, and the mutation probability is 0.001.

附图说明BRIEF DESCRIPTION OF THE DRAWINGS

图1是本发明所述计算循环流化床机组最佳炉内外脱硫比例的方法的流程示意图。FIG1 is a schematic flow chart of the method for calculating the optimal in-furnace and out-furnace desulfurization ratio of a circulating fluidized bed unit according to the present invention.

具体实施方式Detailed ways

以下结合附图详细说明本发明的具体实施方式。本领域技术人员应当理解,此处的说明只是示例性地阐述本发明的最优实施方式,而不应被视作对本发明范围的限定,任何不脱离本发明主旨和思想的变体或修改都落入本发明的范围。The specific embodiments of the present invention are described in detail below in conjunction with the accompanying drawings. Those skilled in the art should understand that the description here is only an exemplary description of the best embodiment of the present invention and should not be regarded as limiting the scope of the present invention. Any variation or modification that does not deviate from the main purpose and idea of the present invention falls within the scope of the present invention.

本发明公开了一种计算循环流化床机组最佳炉内外脱硫比例的方法,图1是本发明所述计算循环流化床机组最佳炉内外脱硫比例的方法的流程示意图,如图1所示,包括如下步骤:The present invention discloses a method for calculating the optimal in-furnace desulfurization ratio of a circulating fluidized bed unit. FIG1 is a flow chart of the method for calculating the optimal in-furnace desulfurization ratio of a circulating fluidized bed unit according to the present invention. As shown in FIG1 , the method comprises the following steps:

步骤1、建立CFB机组炉内外脱硫综合成本模型,选择负荷、煤质、给煤量、总风量、床温、石灰石输送风机额定功率、浆液循环泵额定功率、炉内石灰石给料流率、喷氨量、原烟气SO2浓度、净烟气SO2浓度作为所述综合成本模型的输入;Step 1, establish a comprehensive cost model for desulfurization inside and outside the furnace of the CFB unit, and select load, coal quality, coal feed rate, total air volume, bed temperature, limestone conveying fan rated power, slurry circulation pump rated power, limestone feed flow rate in the furnace, ammonia injection amount, raw flue gas SO2 concentration, and net flue gas SO2 concentration as inputs of the comprehensive cost model;

步骤2、在建立所述综合成本模型时,确定炉内脱硫效率与负荷、钙硫摩尔比、床温、风煤比的关系式;Step 2: when establishing the comprehensive cost model, determine the relationship between the desulfurization efficiency in the furnace and the load, calcium-sulfur molar ratio, bed temperature, and air-coal ratio;

步骤3、利用步骤1所选择的综合成本模型的输入,确定SO2生成浓度,假定炉内脱硫比例后,建立CFB机组典型负荷工况下的炉内外脱硫综合成本模型;Step 3: Using the input of the comprehensive cost model selected in step 1, determine the SO2 generation concentration, assume the desulfurization ratio in the furnace, and establish a comprehensive cost model for desulfurization inside and outside the furnace under typical load conditions of the CFB unit;

步骤4、利用智能寻优算法求解典型负荷工况下的最佳炉内脱硫比例,拟合得到各负荷工况下的最佳炉内脱硫比例。Step 4: Use the intelligent optimization algorithm to solve the optimal in-furnace desulfurization ratio under typical load conditions, and fit the optimal in-furnace desulfurization ratio under each load condition.

在本实施例中,步骤2中,采用最小二乘法拟合典型负荷工况下炉内脱硫效率与负荷、钙硫摩尔比、床温的关系式,利用风煤比对该关系式的系数进行修正。步骤3中,假定炉内脱硫比例后,确定石灰石输送风机电耗、浆液循环泵电耗、炉内外脱硫的石灰石消耗量,其中,石灰石输送风机电耗由炉内石灰石给料流率、石灰石输送风机额定功率确定,浆液循环泵电耗由投运的循环泵台数、额定功率确定。步骤4中,典型负荷工况下的最佳炉内脱硫比例为遗传算法优化后的炉内外脱硫最小综合成本的解。In this embodiment, in step 2, the least square method is used to fit the relationship between the in-furnace desulfurization efficiency and the load, calcium-sulfur molar ratio, and bed temperature under typical load conditions, and the coefficient of the relationship is corrected using the wind-coal ratio. In step 3, after assuming the in-furnace desulfurization ratio, the power consumption of the limestone conveying fan, the power consumption of the slurry circulation pump, and the limestone consumption for in-furnace and out-of-furnace desulfurization are determined, wherein the power consumption of the limestone conveying fan is determined by the limestone feed flow rate in the furnace and the rated power of the limestone conveying fan, and the power consumption of the slurry circulation pump is determined by the number of circulating pumps in operation and the rated power. In step 4, the optimal in-furnace desulfurization ratio under typical load conditions is the solution to the minimum comprehensive cost of in-furnace and out-of-furnace desulfurization after genetic algorithm optimization.

具体如下:details as follows:

1、模型输入变量的选择1. Selection of model input variables

循环流化床机组通过炉内外组合脱硫的运行方式,实现超低排放。炉内外组合脱硫总成本包括:设备电耗成本、炉内脱硝成本、热损失成本、石灰石用量成本,综合成本为脱硫总成本减去石膏产生的收益。其中:石灰石用量成本包括炉内脱硫石灰石用量成本、炉外脱硫石灰石用量成本。设备电耗成本包括:炉内石灰石输送风机电耗、炉外浆液循环泵电耗;炉内脱硝成本受炉内脱硫钙硫摩尔比的影响,随着钙硫比的增大,炉内脱硝成本往往会增大;热损失成本也受炉内脱硫钙硫摩尔比的影响,当炉内脱硫效率不变时,钙硫摩尔比越低,热损失成本越低,折算成的煤耗量越低;炉内脱硫石灰石用量由炉内脱硫钙硫摩尔比、炉内脱硫效率、煤质决定,炉内脱硫效率与负荷、钙硫摩尔比、床温、风煤比相关;炉外脱硫石灰石用量与炉外脱硫效率相关。The circulating fluidized bed unit achieves ultra-low emissions through the operation mode of combined desulfurization inside and outside the furnace. The total cost of combined desulfurization inside and outside the furnace includes: equipment power consumption cost, furnace denitrification cost, heat loss cost, limestone usage cost, and the comprehensive cost is the total desulfurization cost minus the income generated by gypsum. Among them: the limestone usage cost includes the limestone usage cost of desulfurization inside the furnace and the limestone usage cost of desulfurization outside the furnace. The power consumption cost of the equipment includes: the power consumption of the limestone conveying fan in the furnace and the power consumption of the slurry circulation pump outside the furnace; the cost of denitrification in the furnace is affected by the calcium-sulfur molar ratio of desulfurization in the furnace. As the calcium-sulfur ratio increases, the cost of denitrification in the furnace tends to increase; the heat loss cost is also affected by the calcium-sulfur molar ratio of desulfurization in the furnace. When the desulfurization efficiency in the furnace remains unchanged, the lower the calcium-sulfur molar ratio, the lower the heat loss cost, and the lower the converted coal consumption; the amount of limestone used for desulfurization in the furnace is determined by the calcium-sulfur molar ratio of desulfurization in the furnace, the desulfurization efficiency in the furnace, and the coal quality. The desulfurization efficiency in the furnace is related to the load, calcium-sulfur molar ratio, bed temperature, and air-coal ratio; the amount of limestone used for desulfurization outside the furnace is related to the desulfurization efficiency outside the furnace.

根据CFB机组运行数据,炉内脱硫效率可由下式得到:According to the CFB unit operation data, the desulfurization efficiency in the furnace It can be obtained by the following formula:

其中,Wc为给煤量;Sar为硫含量,由煤质决定;Air为总风量;kf为无量纲的烟气折算系数;是原烟气SO2浓度(标况下)。Where, W c is the amount of coal fed; Sar is the sulfur content, which is determined by the coal quality; Air is the total air volume; kf is the dimensionless flue gas conversion coefficient; is the original flue gas SO2 concentration (under standard conditions).

炉外脱硫效率可由下式得到:External desulfurization efficiency It can be obtained by the following formula:

其中,是净烟气SO2浓度(标况下)。in, is the net flue gas SO2 concentration (under standard conditions).

因此,选择负荷、煤质、给煤量、总风量、床温、石灰石输送风机额定功率、浆液循环泵额定功率、炉内石灰石给料流率、喷氨量、原烟气SO2浓度、净烟气SO2浓度作为模型的输入变量。Therefore, load, coal quality, coal feed rate, total air volume, bed temperature, limestone conveying fan rated power, slurry circulation pump rated power, limestone feed flow rate in the furnace, ammonia injection amount, raw flue gas SO 2 concentration, and net flue gas SO 2 concentration are selected as the input variables of the model.

2、确定炉内脱硫效率与负荷、床温、风煤比关系式的步骤2. Steps to determine the relationship between furnace desulfurization efficiency and load, bed temperature, and air-coal ratio

具体包括以下子步骤:It includes the following sub-steps:

子步骤S21、选取典型负荷工况下的床温、给煤量、总风量、煤质、原烟气SO2浓度、炉内石灰石给料流率;Sub-step S21, selecting bed temperature, coal feed rate, total air volume, coal quality, raw flue gas SO2 concentration, and limestone feed flow rate in the furnace under typical load conditions;

子步骤S22、计算得到典型负荷工况下炉内脱硫效率、风煤比、钙硫摩尔比,其中,所述炉内脱硫钙硫摩尔比的计算由式(3)所示:Sub-step S22, calculating the furnace desulfurization efficiency, air-coal ratio, and calcium-sulfur molar ratio under typical load conditions, wherein the calculation of the furnace desulfurization calcium-sulfur molar ratio is shown in formula (3):

式(3)中,为石灰石的纯度,为炉内石灰石给料流率;In formula (3), is the purity of limestone, is the limestone feed flow rate in the furnace;

子步骤S23、采用最小二乘法拟合典型负荷工况下炉内脱硫效率与钙硫摩尔比、床温的关系式,表示为如式(4)所示:Sub-step S23, using the least squares method to fit the relationship between the furnace desulfurization efficiency, the calcium-sulfur molar ratio, and the bed temperature under typical load conditions, is expressed as shown in formula (4):

式(4)中,A为无量纲系数,B为床温的函数,mCFB为炉内钙硫摩尔比;In formula (4), A is a dimensionless coefficient, B is a function of bed temperature, and m CFB is the molar ratio of calcium to sulfur in the furnace;

子步骤S24、根据运行数据,利用典型负荷工况下的风煤比修正A,最终得到典型负荷工况下炉内脱硫效率与钙硫摩尔比、床温的关系式。Sub-step S24, based on the operating data, using the air-coal ratio under typical load conditions to correct A, and finally obtaining the relationship between the furnace desulfurization efficiency and the calcium-sulfur molar ratio and the bed temperature under typical load conditions.

3、综合成本模型与求解3. Comprehensive cost model and solution

炉外脱硫效率与原烟气SO2浓度、总风量有关,可通过最小二乘法拟合炉外脱硫效率与原烟气SO2浓度、总风量之间的关系,具体包括以下子步骤:External desulfurization efficiency It is related to the original flue gas SO2 concentration and total air volume. The relationship between the off-furnace desulfurization efficiency and the original flue gas SO2 concentration and total air volume can be fitted by the least squares method, which specifically includes the following sub-steps:

子步骤S31、通过最小二乘法拟合炉外脱硫效率与原烟气SO2浓度、总风量之间的关系,表示为如式(6)所示:Sub-step S31, fitting the relationship between the desulfurization efficiency outside the furnace and the original flue gas SO2 concentration and the total air volume by the least square method, expressed as shown in formula (6):

式(6)中,a1、a2、a3为模型系数;In formula (6), a 1 , a 2 , and a 3 are model coefficients;

子步骤S32、假定某个典型负荷工况下炉内脱硫比例为x,则炉外脱硫比例为1-x,结合式(1)和式(4),确定出炉内脱硫的钙硫摩尔比mCFBSub-step S32: Assuming that the desulfurization ratio in the furnace is x under a typical load condition, the desulfurization ratio outside the furnace is 1-x, and combining equation (1) and equation (4), the calcium-sulfur molar ratio m CFB of the desulfurization in the furnace is determined;

子步骤S33、将所述炉内石灰石用量成本W1表示为如式(7)所示:Sub-step S33: the limestone consumption cost W1 in the furnace is expressed as shown in formula (7):

式(7)中,MCaCO3、MCao分别为CaCO3、CaO的相对分子质量,单位为g/mol;u1为炉内石灰石单价,单位为元/kg;In formula (7), M CaCO 3 and M Cao are the relative molecular masses of CaCO 3 and CaO, respectively, in g/mol; u1 is the unit price of limestone in the furnace, in yuan/kg;

将所述热损失成本W2表示为如式(8)所示:The heat loss cost W2 is expressed as shown in formula (8):

W2=Wc[η/(η-Δη)-1]u2 (8),W 2 =W c [η/(η-Δη)-1]u 2 (8),

式(8)中,η是锅炉设计效率;Δη是锅炉热损失;u2为燃煤的单价,单位为元/kg;In formula (8), η is the boiler design efficiency; Δη is the boiler heat loss; u 2 is the unit price of coal, in yuan/kg;

将所述脱硝成本W3表示为如式(9)所示:The denitrification cost W 3 is expressed as shown in formula (9):

W3=k1mCFBWcu3 (9),W 3 = k 1 m CFB Wcu 3 (9),

式(9)中,k1为成本系数;u3为尿素单价,单位为元/kg;In formula (9), k 1 is the cost coefficient; u 3 is the unit price of urea, in yuan/kg;

将所述输送风机电耗成本W4表示为如式(10)所示:The power consumption cost W 4 of the conveying fan is expressed as shown in formula (10):

式(10)中,α为压缩空气系数;u4为上网电价,单位为元/kWh;In formula (10), α is the compressed air coefficient; u 4 is the on-grid electricity price, in yuan/kWh;

将所述炉外石灰石用量成本W5表示为如式(11)所示:The cost of limestone consumption outside the furnace W5 is expressed as shown in formula (11):

式(11)中,mCFB,wet为炉外钙硫摩尔比;u5为炉外石灰石单价,单位为元/t。In formula (11), mCFB ,wet is the molar ratio of calcium to sulfur outside the furnace; u5 is the unit price of limestone outside the furnace, in yuan/t.

将所述循环泵电耗W6表示为如式(12)所示:The circulating pump power consumption W6 is expressed as shown in formula (12):

W6=nPwu4 (12),W 6 = nPwu 4 (12),

式(12)中,n为启动的浆液循环泵台数,由原烟气SO2浓度与负荷决定;Pw为单台浆液循环泵的功率,单位为kW;In formula (12), n is the number of slurry circulation pumps started, which is determined by the original flue gas SO2 concentration and load; Pw is the power of a single slurry circulation pump, in kW;

将所述石膏收益V7表示为如式(13)所示:The gypsum benefit V7 is expressed as shown in formula (13):

其中,η(H2O)为石膏含水率;u8为石膏单价,元/kg。Wherein, η(H 2 O) is the water content of gypsum; u 8 is the unit price of gypsum, yuan/kg.

将所述炉内外组合脱硫综合成本f(x)表示为如式(14)所示:The comprehensive cost of combined desulfurization inside and outside the furnace f(x) is expressed as shown in formula (14):

f(x)=W1+W2+W3+W4+W5+W6-V7 0≤X≤Xmax(14),f(x)=W1+W2+W3+W4+W5+W6-V7 0≤X≤Xmax(14),

式(14)中,W1、W2、W3、W4、W5、W6、V7均通过炉内脱硫比例x确定,分别为炉内石灰石用量成本、热损失成本、脱硝成本、输送风机电耗成本、炉外石灰石用量成本、循环泵电耗、石膏收益;xmax由CFB机组炉内脱硫能力决定。In formula (14), W1 , W2 , W3 , W4 , W5 , W6 , and V7 are all determined by the furnace desulfurization ratio x, and are respectively the furnace limestone consumption cost, heat loss cost, denitrification cost, conveying fan power consumption cost, furnace limestone consumption cost, circulating pump power consumption, and gypsum revenue; xmax is determined by the furnace desulfurization capacity of the CFB unit.

遗传算法寻优最佳炉内脱硫比例的过程具体包括以下子步骤:The process of genetic algorithm to find the optimal desulfurization ratio in the furnace specifically includes the following sub-steps:

子步骤S41、编码:选择无符号二进制整数来表示个体xiSub-step S41, encoding: selecting an unsigned binary integer to represent the individual x i ;

子步骤S42、产生初始群体:随机生成N个个体作为初始群体,设置迭代次数为n;Sub-step S42, generating an initial population: randomly generating N individuals as the initial population, and setting the number of iterations to n;

子步骤S43、适应度计算:利用综合成本函数值g(xi)作为个体xi的适应度,选择如式(15)所示的适应度函:Sub-step S43, fitness calculation: using the comprehensive cost function value g( xi) as the fitness of individual xi , select the fitness function shown in formula (15):

g(xi)=minf(xi) (15);g( xi ) = minf( xi ) (15);

子步骤S44、选择、交叉、变异运算:把当前群体中适应度较高的个体遗传到下一代;采用单点交叉的方法进行交叉运算,采用基本位变异的方法进行变异运算,产省下一代的群体,迭代次数增加1;Sub-step S44, selection, crossover, and mutation operations: pass the individuals with higher fitness in the current group to the next generation; use the single-point crossover method to perform crossover operations, and use the basic bit mutation method to perform mutation operations, so as to save the next generation of groups, and the number of iterations increases by 1;

子步骤S45、终止条件判断:若迭代次数大于等于n,则终止计算,将所得到的具有最小适应度个体作为最优解输出,即为最佳炉内外脱硫比例;否则返回子步骤S43。Sub-step S45, termination condition judgment: if the number of iterations is greater than or equal to n, the calculation is terminated, and the individual with the minimum fitness is output as the optimal solution, that is, the optimal desulfurization ratio inside and outside the furnace; otherwise, return to sub-step S43.

在具体实施例中,群体数N=20,终止迭代次数n=80,交叉概率为0.4,变异概率为0.001。In a specific embodiment, the number of populations N=20, the number of termination iterations n=80, the crossover probability is 0.4, and the mutation probability is 0.001.

本发明具有如下有益效果:The present invention has the following beneficial effects:

(1)根据CFB机组运行特性,选择相应变量,采用最小二乘法确定炉内脱硫效率与床温、风煤比的关系。(1) According to the operating characteristics of the CFB unit, the corresponding variables are selected and the relationship between the desulfurization efficiency in the furnace and the bed temperature and the air-coal ratio is determined by the least squares method.

(2)在此基础上,假定炉内脱硫比例后,分别建立了典型负荷工况下的脱硫综合成本模型。(2) On this basis, after assuming the desulfurization ratio in the furnace, the comprehensive desulfurization cost model under typical load conditions was established.

(3)采用遗传算法,以脱硫综合成本最小作为目标函数,对典型负荷工况下的最佳炉内外脱硫比进行优化。(3) A genetic algorithm is used to optimize the optimal in-furnace and out-of-furnace desulfurization ratio under typical load conditions, with the minimum comprehensive desulfurization cost as the objective function.

Claims (3)

1.一种计算循环流化床机组最佳炉内外脱硫比例的方法,其特征在于,包括以下步骤:1. A method for calculating the optimal desulfurization ratio of the circulating fluidized bed unit inside and outside the furnace, characterized in that it comprises the following steps: 步骤1、建立CFB机组炉内外脱硫综合成本模型,选择负荷、煤质、给煤量、总风量、床温、石灰石输送风机额定功率、浆液循环泵额定功率、炉内石灰石给料流率、喷氨量、原烟气SO2浓度、净烟气SO2浓度作为所述综合成本模型的输入变量;Step 1, establish a comprehensive cost model for desulfurization inside and outside the furnace of the CFB unit, and select load, coal quality, coal feed rate, total air volume, bed temperature, limestone conveying fan rated power, slurry circulation pump rated power, limestone feed flow rate in the furnace, ammonia injection amount, raw flue gas SO2 concentration, and net flue gas SO2 concentration as input variables of the comprehensive cost model; 所述建立CFB机组炉内外脱硫综合成本模型的过程为:The process of establishing the comprehensive cost model of internal and external desulfurization of CFB units is as follows: 将炉内外组合脱硫总成本定义为包括:设备电耗成本、炉内脱硝成本、热损失成本、石灰石用量成本,所述综合成本为脱硫总成本减去石膏所产生的收益;其中,所述石灰石用量成本包括炉内脱硫石灰石用量成本、炉外脱硫石灰石用量成本;所述设备电耗成本包括炉内石灰石输送风机电耗、炉外浆液循环泵电耗;所述炉内脱硝成本随着炉内脱硫钙硫摩尔比的增大,炉内脱硝成本而增大;当炉内脱硫效率不变时,钙硫摩尔比越低,则热损失成本越低,折算成的煤耗量越低;所述炉内脱硫石灰石用量由炉内脱硫钙硫摩尔比、炉内脱硫效率、煤质决定,所述炉内脱硫效率与负荷、钙硫摩尔比、床温、风煤比相关;所述炉外脱硫石灰石用量与炉外脱硫效率相关;The total cost of combined desulfurization inside and outside the furnace is defined as including: equipment power consumption cost, furnace denitrification cost, heat loss cost, and limestone usage cost. The comprehensive cost is the total desulfurization cost minus the income generated by gypsum; wherein, the limestone usage cost includes the limestone usage cost of desulfurization inside the furnace and the limestone usage cost of desulfurization outside the furnace; the equipment power consumption cost includes the power consumption of the limestone conveying fan inside the furnace and the power consumption of the slurry circulation pump outside the furnace; the denitrification cost inside the furnace increases with the increase of the calcium-sulfur molar ratio of desulfurization inside the furnace; when the desulfurization efficiency inside the furnace remains unchanged, the lower the calcium-sulfur molar ratio, the lower the heat loss cost, and the lower the converted coal consumption; the desulfurization limestone usage inside the furnace is determined by the calcium-sulfur molar ratio of desulfurization inside the furnace, the desulfurization efficiency inside the furnace, and the coal quality. The desulfurization efficiency inside the furnace is related to the load, the calcium-sulfur molar ratio, the bed temperature, and the air-coal ratio; the desulfurization limestone usage outside the furnace is related to the desulfurization efficiency outside the furnace; 将所述炉内脱硫效率表示为如式(1)所示:The desulfurization efficiency in the furnace It is expressed as shown in formula (1): 式(1)中,Wc为给煤量,Sar为硫含量,Air为总风量,kf为无量纲的烟气折算系数,是标况下原烟气SO2浓度;In formula (1), Wc is the coal feed rate, Sar is the sulfur content, Air is the total air volume, and kf is the dimensionless flue gas conversion coefficient. is the original flue gas SO 2 concentration under standard conditions; 将所述炉外脱硫效率表示为如式(2)所示:The off-furnace desulfurization efficiency It is expressed as shown in formula (2): 式(2)中,标况下是净烟气SO2浓度;In formula (2), under standard conditions is the net flue gas SO 2 concentration; 步骤2、在建立所述综合成本模型时,确定炉内脱硫效率与负荷、钙硫摩尔比、床温、风煤比的关系式;Step 2: when establishing the comprehensive cost model, determine the relationship between the desulfurization efficiency in the furnace and the load, calcium-sulfur molar ratio, bed temperature, and air-coal ratio; 采用最小二乘法拟合典型负荷工况下炉内脱硫效率与负荷、钙硫摩尔比、床温的关系式,利用风煤比对该关系式的系数进行修正,具体包括以下子步骤:The least square method is used to fit the relationship between the desulfurization efficiency in the furnace and the load, calcium-sulfur molar ratio, and bed temperature under typical load conditions, and the coefficient of the relationship is corrected using the air-coal ratio. Specifically, the following sub-steps are included: 子步骤S21、选取典型负荷工况下的床温、给煤量、总风量、煤质、原烟气SO2浓度、炉内石灰石给料流率;Sub-step S21, selecting bed temperature, coal feed rate, total air volume, coal quality, raw flue gas SO2 concentration, and limestone feed flow rate in the furnace under typical load conditions; 子步骤S22、计算得到典型负荷工况下炉内脱硫效率、风煤比、钙硫摩尔比,其中,所述炉内脱硫钙硫摩尔比的计算由式(3)所示:Sub-step S22, calculating the furnace desulfurization efficiency, air-coal ratio, and calcium-sulfur molar ratio under typical load conditions, wherein the calculation of the furnace desulfurization calcium-sulfur molar ratio is shown in formula (3): 式(3)中,为石灰石的纯度,为炉内石灰石给料流率;In formula (3), is the purity of limestone, is the limestone feed flow rate in the furnace; 子步骤S23、采用最小二乘法拟合典型负荷工况下炉内脱硫效率与钙硫摩尔比、床温的关系式,表示为如式(4)所示:Sub-step S23, using the least squares method to fit the relationship between the furnace desulfurization efficiency, the calcium-sulfur molar ratio, and the bed temperature under typical load conditions, is expressed as shown in formula (4): 式(4)中,A为无量纲系数,B为床温的函数,mCFB为炉内钙硫摩尔比;In formula (4), A is a dimensionless coefficient, B is a function of bed temperature, and m CFB is the molar ratio of calcium to sulfur in the furnace; 子步骤S24、根据运行数据,利用典型负荷工况下的风煤比修正A,最终得到典型负荷工况下炉内脱硫效率与钙硫摩尔比、床温的关系式;Sub-step S24, according to the operation data, using the air-coal ratio under typical load conditions to correct A, and finally obtain the relationship between the furnace desulfurization efficiency and the calcium-sulfur molar ratio and the bed temperature under typical load conditions; 步骤3、利用步骤1所选择的综合成本模型的输入,确定SO2生成浓度,假定炉内脱硫比例后,建立CFB机组典型负荷工况下的炉内外脱硫综合成本模型;Step 3: Using the input of the comprehensive cost model selected in step 1, determine the SO2 generation concentration, assume the desulfurization ratio in the furnace, and establish a comprehensive cost model for desulfurization inside and outside the furnace under typical load conditions of the CFB unit; 假定炉内脱硫比例后,确定石灰石输送风机电耗、浆液循环泵电耗、炉内外脱硫的石灰石消耗量,其中,石灰石输送风机电耗由炉内石灰石给料流率、石灰石输送风机额定功率确定,浆液循环泵电耗由投运的循环泵台数、额定功率确定,具体包括以下子步骤:After assuming the desulfurization ratio in the furnace, determine the power consumption of the limestone conveying fan, the power consumption of the slurry circulation pump, and the limestone consumption for desulfurization inside and outside the furnace. The power consumption of the limestone conveying fan is determined by the limestone feed flow rate in the furnace and the rated power of the limestone conveying fan, and the power consumption of the slurry circulation pump is determined by the number of circulating pumps in operation and their rated power. The specific steps include the following: 子步骤S31、通过最小二乘法拟合炉外脱硫效率与原烟气SO2浓度、总风量之间的关系,表示为如式(6)所示:Sub-step S31, fitting the relationship between the desulfurization efficiency outside the furnace and the original flue gas SO2 concentration and the total air volume by the least square method, expressed as shown in formula (6): 式(6)中,a1、a2、a3为模型系数;In formula (6), a 1 , a 2 , and a 3 are model coefficients; 子步骤S32、假定某个典型负荷工况下炉内脱硫比例为x,则炉外脱硫比例为1-x,结合式(1)和式(4),确定出炉内脱硫的钙硫摩尔比mCFBSub-step S32: Assuming that the desulfurization ratio in the furnace is x under a typical load condition, the desulfurization ratio outside the furnace is 1-x, and combining equation (1) and equation (4), the calcium-sulfur molar ratio m CFB of the desulfurization in the furnace is determined; 子步骤S33、将所述炉内石灰石用量成本W1表示为如式(7)所示:Sub-step S33: the limestone consumption cost W1 in the furnace is expressed as shown in formula (7): 式(7)中,MCaCO3、MCao分别为CaCO3、CaO的相对分子质量,单位为g/mol;u1为炉内石灰石单价,单位为元/kg;In formula (7), M CaCO 3 and M Cao are the relative molecular masses of CaCO 3 and CaO, respectively, in g/mol; u 1 is the unit price of limestone in the furnace, in yuan/kg; 将所述热损失成本W2表示为如式(8)所示:The heat loss cost W2 is expressed as shown in formula (8): W2=Wc[η/(η-Δη)-1]u2 (8),W 2 =W c [η/(η-Δη)-1]u 2 (8), 式(8)中,η是锅炉设计效率;Δη是锅炉热损失;u2为燃煤的单价,单位为元/kg;In formula (8), η is the boiler design efficiency; Δη is the boiler heat loss; u 2 is the unit price of coal, in yuan/kg; 将所述脱硝成本W3表示为如式(9)所示:The denitrification cost W 3 is expressed as shown in formula (9): W3=k1mCFBWcu3 (9),W 3 = k 1 m CFB W c u 3 (9), 式(9)中,k1为成本系数;u3为尿素单价,单位为元/kg;In formula (9), k 1 is the cost coefficient; u 3 is the unit price of urea, in yuan/kg; 将所述输送风机电耗成本W4表示为如式(10)所示:The power consumption cost W 4 of the conveying fan is expressed as shown in formula (10): 式(10)中,α为压缩空气系数;u4为上网电价,单位为元/kWh;In formula (10), α is the compressed air coefficient; u 4 is the on-grid electricity price, in yuan/kWh; 将炉外石灰石用量成本W5表示为如式(11)所示:The cost of limestone consumption outside the furnace W5 is expressed as shown in formula (11): 式(11)中,mCFB,wet为炉外钙硫摩尔比;u5为炉外石灰石单价,单位为元/t;In formula (11), m CFB ,wet is the molar ratio of calcium to sulfur outside the furnace; u 5 is the unit price of limestone outside the furnace, in yuan/t; 将所述循环泵电耗W6表示为如式(12)所示:The circulating pump power consumption W6 is expressed as shown in formula (12): W6=nPwu4 (12),W 6 = nP w u 4 (12), 式(12)中,n为启动的浆液循环泵台数,由原烟气SO2浓度与负荷决定;Pw为单台浆液循环泵的功率,单位为kW;In formula (12), n is the number of slurry circulation pumps started, which is determined by the original flue gas SO2 concentration and load; Pw is the power of a single slurry circulation pump, in kW; 将石膏收益V7表示为如式(13)所示:The gypsum benefit V7 is expressed as shown in formula (13): 其中,η(H2O)为石膏含水率;u8为石膏单价,单位为元/kg;Among them, η(H 2 O) is the water content of gypsum; u 8 is the unit price of gypsum, in yuan/kg; 将所述炉内外组合脱硫综合成本f(x)表示为如式(14)所示:The comprehensive cost of combined desulfurization inside and outside the furnace f(x) is expressed as shown in formula (14): f(x)=W1+W2+W3+W4+W5+W6-V7 0≤X≤Xmax (14),f(x)=W 1 +W 2 +W 3 +W 4 +W 5 +W 6 −V 7 0≤X≤X max (14), 式(14)中,W1、W2、W3、W4、W5、W6、V7均通过炉内脱硫比例x确定,分别为炉内石灰石用量成本、热损失成本、脱硝成本、输送风机电耗成本、炉外石灰石用量成本、循环泵电耗、石膏收益;xmax由CFB机组炉内脱硫能力决定;In formula (14), W 1 , W 2 , W 3 , W 4 , W 5 , W 6 , and V 7 are all determined by the furnace desulfurization ratio x, and are respectively the furnace limestone consumption cost, heat loss cost, denitrification cost, conveying fan power consumption cost, furnace limestone consumption cost, circulating pump power consumption, and gypsum revenue; x max is determined by the furnace desulfurization capacity of the CFB unit; 步骤4、利用智能寻优算法求解典型负荷工况下的最佳炉内脱硫比例,拟合得到各负荷工况下的最佳炉内脱硫比例。Step 4: Use the intelligent optimization algorithm to solve the optimal in-furnace desulfurization ratio under typical load conditions, and fit the optimal in-furnace desulfurization ratio under each load condition. 2.根据权利要求1所述的一种计算循环流化床机组最佳炉内外脱硫比例的方法,其特征在于,步骤4中,典型负荷工况下的最佳炉内脱硫比例为遗传算法优化炉内外脱硫最小综合成本所得到的解,其中,所述遗传算法优化炉内外脱硫最小综合成本的过程包括以下子步骤:2. A method for calculating the optimal in-furnace desulfurization ratio of a circulating fluidized bed unit according to claim 1, characterized in that, in step 4, the optimal in-furnace desulfurization ratio under typical load conditions is a solution obtained by optimizing the minimum comprehensive cost of in-furnace desulfurization by a genetic algorithm, wherein the process of optimizing the minimum comprehensive cost of in-furnace desulfurization by a genetic algorithm comprises the following sub-steps: 子步骤S41、编码:选择无符号二进制整数来表示个体xiSub-step S41, encoding: selecting an unsigned binary integer to represent the individual x i ; 子步骤S42、产生初始群体:随机生成N个个体作为初始群体,设置迭代次数为n;Sub-step S42, generating an initial population: randomly generating N individuals as the initial population, and setting the number of iterations to n; 子步骤S43、适应度计算:利用综合成本函数值g(xi)作为个体xi的适应度,选择如式(15)所示的适应度函:Sub-step S43, fitness calculation: using the comprehensive cost function value g( xi ) as the fitness of individual xi , select the fitness function shown in formula (15): g(xi)=min f(xi) (15);g( xi ) = min f( xi ) (15); 子步骤S44、选择、交叉、变异运算:把当前群体中适应度较高的个体遗传到下一代;采用单点交叉的方法进行交叉运算,采用基本位变异的方法进行变异运算,产省下一代的群体,迭代次数增加1;Sub-step S44, selection, crossover, and mutation operations: pass the individuals with higher fitness in the current group to the next generation; use the single-point crossover method to perform crossover operations, and use the basic bit mutation method to perform mutation operations, so as to save the next generation of groups, and the number of iterations increases by 1; 子步骤S45、终止条件判断:若迭代次数大于等于n,则终止计算,将所得到的具有最小适应度个体作为最优解输出,即为最佳炉内外脱硫比例;否则返回子步骤S43。Sub-step S45, termination condition judgment: if the number of iterations is greater than or equal to n, the calculation is terminated, and the individual with the minimum fitness is output as the optimal solution, that is, the optimal desulfurization ratio inside and outside the furnace; otherwise, return to sub-step S43. 3.根据权利要求2所述的一种计算循环流化床机组最佳炉内外脱硫比例的方法,其特征在于,其中,群体数N=20,终止迭代次数n=80,交叉概率为0.4,变异概率为0.001。3. A method for calculating the optimal in-furnace and out-of-furnace desulfurization ratio of a circulating fluidized bed unit according to claim 2, characterized in that, wherein, the number of groups N=20, the number of termination iterations n=80, the crossover probability is 0.4, and the mutation probability is 0.001.
CN202210298473.9A 2022-03-24 2022-03-24 Method for calculating optimal internal and external desulfurization proportion of circulating fluidized bed unit Active CN114880919B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202210298473.9A CN114880919B (en) 2022-03-24 2022-03-24 Method for calculating optimal internal and external desulfurization proportion of circulating fluidized bed unit

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202210298473.9A CN114880919B (en) 2022-03-24 2022-03-24 Method for calculating optimal internal and external desulfurization proportion of circulating fluidized bed unit

Publications (2)

Publication Number Publication Date
CN114880919A CN114880919A (en) 2022-08-09
CN114880919B true CN114880919B (en) 2024-07-12

Family

ID=82667299

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202210298473.9A Active CN114880919B (en) 2022-03-24 2022-03-24 Method for calculating optimal internal and external desulfurization proportion of circulating fluidized bed unit

Country Status (1)

Country Link
CN (1) CN114880919B (en)

Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115169632A (en) * 2022-05-10 2022-10-11 华北电力大学 A method for predicting SO2 emission concentration after desulfurization in a circulating fluidized bed boiler

Family Cites Families (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8755940B2 (en) * 2008-08-22 2014-06-17 Alstom Technology Ltd Modeling and control optimization system for integrated fluidized bed combustion process and air pollution control system
CN105066121B (en) * 2015-07-29 2017-09-26 华北电力大学 A kind of dynamic bed temperature forecasting system of CFBB and method
CN111085091A (en) * 2020-01-02 2020-05-01 神华国能集团有限公司 Method for determining desulfurization proportion inside and outside circulating fluidized bed boiler and desulfurization system
CN111461391B (en) * 2020-01-22 2022-05-20 杭州电子科技大学 Coal slime fluidized bed boiler desulfurization collaborative optimization operation method
CN113393059A (en) * 2021-07-27 2021-09-14 新奥数能科技有限公司 Method and device for adjusting output distribution of desulfurization system in circulating fluidized bed group
CN114186708A (en) * 2021-10-13 2022-03-15 华北电力大学 Circulating fluidized bed unit SO based on PSO-ELM2Concentration prediction method

Patent Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115169632A (en) * 2022-05-10 2022-10-11 华北电力大学 A method for predicting SO2 emission concentration after desulfurization in a circulating fluidized bed boiler

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
循环流化机组负荷响应特性与灵活运行控制研究;张洪福;知网研学;20230501;全文 *

Also Published As

Publication number Publication date
CN114880919A (en) 2022-08-09

Similar Documents

Publication Publication Date Title
CN113266843B (en) Combustion optimization method, system and device for coal-fired boiler
CN111754133B (en) A "source-load" low-carbon economic scheduling method for integrated energy systems considering carbon capture systems
CN109376945A (en) A coal blending optimization system based on multiple coal types
CN104613468B (en) Combustion Optimal Control Method of Circulating Fluidized Bed Boiler Based on Fuzzy Adaptive Reasoning
CN111981505B (en) A low-nitrogen gas-fired boiler efficiency enhancement and whitening integrated heating system and control method
CN217763522U (en) Natural gas ammonia-doped combustion system for coupling green hydrogen to produce ammonia
CN101373383B (en) Control Method of Load Economic Distribution Based on Flow Balance Group
CN117128499B (en) Intelligent pollution reduction and carbon reduction method and its application based on combustion control and load distribution
CN109173631B (en) Energy-saving optimization method of series double-tower flue gas desulfurization system
CN114880919B (en) Method for calculating optimal internal and external desulfurization proportion of circulating fluidized bed unit
CN201714432U (en) Oxygen-enriched combustion coal-fired generating system of solar energy-wind energy integrated power generating set
CN109780529B (en) A biomass combined heat and power operation method based on terminal electric heat pump mixed water heating
CN116379464B (en) Automatic optimizing method for total cost of NOx under full load of coal-fired unit
CN115127112A (en) Natural gas ammonia-doped combustion system for coupling green hydrogen to produce ammonia and operation method
CN113713599A (en) Circulating fluidized bed semi-dry method low-load desulfurization system and control method
CN113019086B (en) Precise feeding method of desulfurization synergist
CN106705019A (en) Wide-load efficient water supply regenerative system
CN202675253U (en) Device for utilizing waste heat of smoke of thermal power generating unit boiler
CN108870384A (en) The burning of low nitrogen burning circulating fluidized bed boiler and SNCR denitration cooperative optimization method
CN105823071A (en) Method for reducing boiler ultra-clean discharge operation cost
CN203010565U (en) Waste heat-afterburning and no-waste heat parallel type steam production device
CN110888318A (en) Boiler optimized combustion control method
CN105910099B (en) A kind of fluidized-bed combustion boiler environmental protection and energy saving technique
CN219624088U (en) Adjusting system for temperature of medium-temperature SCR denitration flue gas
CN107957079B (en) The control method of corner tangential firing pulverized-coal fired boiler

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant