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CN116700163A - Energy dynamic optimization control method for ultra-clean emission of organic pollutants - Google Patents

Energy dynamic optimization control method for ultra-clean emission of organic pollutants Download PDF

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CN116700163A
CN116700163A CN202310588328.9A CN202310588328A CN116700163A CN 116700163 A CN116700163 A CN 116700163A CN 202310588328 A CN202310588328 A CN 202310588328A CN 116700163 A CN116700163 A CN 116700163A
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薄翠梅
曾祥宇
张贺
乔旭
高世达
李俊
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Nanjing Tech University
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    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B19/00Programme-control systems
    • G05B19/02Programme-control systems electric
    • G05B19/418Total factory control, i.e. centrally controlling a plurality of machines, e.g. direct or distributed numerical control [DNC], flexible manufacturing systems [FMS], integrated manufacturing systems [IMS] or computer integrated manufacturing [CIM]
    • G05B19/41865Total factory control, i.e. centrally controlling a plurality of machines, e.g. direct or distributed numerical control [DNC], flexible manufacturing systems [FMS], integrated manufacturing systems [IMS] or computer integrated manufacturing [CIM] characterised by job scheduling, process planning, material flow
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
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Abstract

本发明提供了一种有机污染物超净排放的能量动态优化控制方法,包括:构建自热平衡率;建立能量动态自热平衡模型;构建有机污染物超净排放的能量动态优化问题;采用改进的控制轨迹参数化方法将控制输入变量表示为离散形式,将能量动态优化问题转化为非线性规划问题;采用ODE求解器求解等式约束;采用在目标函数中构造障碍函数的罚函数法,构造对偶优化问题,求解不等式约束,通过迭代降低障碍函数中的权重,得到最优控制序列和终端时间;采用模型预测控制的滚动优化策略进行迭代优化,实现系统能量自给自足。本发明通过合理利用高浓度有机污染物的自身能源,实现超净排放运行目标,同时解决了传统污染物治理工艺能耗大、成本高等难题。

The invention provides an energy dynamic optimization control method for ultra-clean discharge of organic pollutants, comprising: constructing a self-heating balance rate; establishing an energy dynamic self-heating balance model; constructing an energy dynamic optimization problem for ultra-clean discharge of organic pollutants; adopting an improved control method The trajectory parameterization method expresses the control input variable as a discrete form, transforms the energy dynamic optimization problem into a nonlinear programming problem; uses the ODE solver to solve the equality constraints; uses the penalty function method that constructs an obstacle function in the objective function to construct a dual optimization The problem is to solve the inequality constraints, and obtain the optimal control sequence and terminal time by iteratively reducing the weight in the barrier function; the rolling optimization strategy of model predictive control is used for iterative optimization to realize the energy self-sufficiency of the system. The invention realizes the target of ultra-clean discharge operation by rationally utilizing the self-energy of high-concentration organic pollutants, and at the same time solves the problems of large energy consumption and high cost of the traditional pollutant treatment process.

Description

一种有机污染物超净排放的能量动态优化控制方法An energy dynamic optimization control method for ultra-clean emission of organic pollutants

技术领域technical field

本发明涉及化学工程、有机污染物超净排放以及复杂工业过程优化控制技术领域,具体但不限于涉及一种有机污染物超净排放的能量动态优化控制方法。The invention relates to the technical fields of chemical engineering, ultra-clean discharge of organic pollutants and optimization control of complex industrial processes, specifically but not limited to an energy dynamic optimization control method for ultra-clean discharge of organic pollutants.

背景技术Background technique

有机污染物治理已经成为环境治理技术的热点研究课题之一,目前主流的有机污染物治理方法主要包含以下三种:生物法、焚烧法和催化氧化法。传统生物法是将有机物作为碳源和能源进行代谢作用,通过厌氧微生物将有机物转化为可再生利用的能量和生物固体,生物法不仅投资大、占地广,且需要对高浓度有机废水进行稀释预处理,增加了工艺复杂性和成本。焚烧法直接将有机物进行高温燃烧,所需温度高达1000℃及以上,危险性大,投资和运营成本高。催化氧化法是通过使用廉价空气氧化剂和先进催化材料,将多相态(气、液、固)、多结构(单质、化合物、聚合物)有害有机大分子,通过“气固”两相催化氧化反应,转变为无害的CO2、H2O、N2和易于处理的SO2、HCl等小分子。The treatment of organic pollutants has become one of the hot research topics of environmental treatment technology. At present, the mainstream methods of organic pollutant treatment mainly include the following three methods: biological method, incineration method and catalytic oxidation method. The traditional biological method is to metabolize organic matter as a carbon source and energy source, and convert the organic matter into renewable energy and biosolids through anaerobic microorganisms. The biological method not only requires a large investment and occupies a large area, but also requires the treatment of high-concentration organic wastewater. Dilution pretreatment increases process complexity and cost. The incineration method directly burns organic matter at a high temperature, and the required temperature is as high as 1000°C and above, which is dangerous and requires high investment and operating costs. The catalytic oxidation method uses cheap air oxidants and advanced catalytic materials to catalyze and oxidize harmful organic macromolecules in multi-phase state (gas, liquid, solid), multi-structure (element, compound, polymer) through "gas-solid" two-phase catalytic oxidation. Reaction, transform into harmless CO 2 , H 2 O, N 2 and easy-to-handle SO 2 , HCl and other small molecules.

高浓度有机污染物自身蕴含大量能源,如何高效利用污染物自身能源对于降低污染物治理能量消耗是非常关键的。废水中有机物蕴含的能量大约是废水处理所需的9-10倍,精馏残液更是富含大量的能源。传统能量回收利用方式主要采用热解、气化等手段将污染物转换为沼气、蒸气、电力等二次能源。对于高效利用有机污染物自身蕴含的能量,通过内部能量优化控制,实现系统能量自给自足的相关研究鲜有报道。开展有机污染物超净排放的能量动态优化控制研究对于有效降低治理装置运行能耗,解决企业治理装置运行维护难、成本高等难题具有重要意义。High-concentration organic pollutants contain a lot of energy. How to efficiently use the energy of pollutants is very critical to reduce the energy consumption of pollutant treatment. The energy contained in organic matter in wastewater is about 9-10 times that required for wastewater treatment, and the rectification raffinate is rich in a large amount of energy. Traditional energy recycling methods mainly use pyrolysis, gasification and other means to convert pollutants into secondary energy sources such as biogas, steam, and electricity. There are few reports on the efficient use of the energy contained in organic pollutants and the realization of system energy self-sufficiency through internal energy optimization control. Carrying out research on energy dynamic optimization control of ultra-clean emissions of organic pollutants is of great significance for effectively reducing the energy consumption of treatment devices and solving the problems of difficult operation and maintenance and high costs of enterprise treatment devices.

有鉴于此,需要提供一种新的控制方法,以期解决上述至少部分问题。In view of this, it is necessary to provide a new control method in order to solve at least part of the above problems.

发明内容Contents of the invention

针对现有技术中的一个或多个问题,本发明提出了一种有机污染物超净排放的能量动态优化控制方法,将催化氧化反应释放的能量用于非气态污染物温升与汽化所需能量,构建能量自热平衡系统,实现有机污染物超净排放的同时,降低治理装置运行能耗。Aiming at one or more problems in the prior art, the present invention proposes an energy dynamic optimization control method for ultra-clean emission of organic pollutants, which uses the energy released by the catalytic oxidation reaction for the temperature rise and vaporization of non-gaseous pollutants. Energy, build an energy self-heating balance system, realize the ultra-clean discharge of organic pollutants, and reduce the energy consumption of the treatment device.

实现本发明目的的技术解决方案为:The technical solution that realizes the object of the present invention is:

一种有机污染物超净排放的能量动态优化控制方法,包括:An energy dynamic optimization control method for ultra-clean emission of organic pollutants, comprising:

S1、构建有机污染物治理的自热平衡率,所述自热平衡率定义为有机污染物治理过程中吸收的总能量与释放的总能量之比;S1. Constructing the self-heat balance rate of organic pollutant treatment, the self-heat balance rate is defined as the ratio of the total energy absorbed to the total energy released during the treatment of organic pollutants;

S2、基于有机污染物采用的临氧裂解催化氧化治理工艺,根据有机污染物各组分浓度及耗氧量的变化,建立有机污染物治理过程的能量转化方程和能量传递方程,并构建能量动态自热平衡模型;S2. Based on the oxygen cracking catalytic oxidation treatment process adopted by organic pollutants, according to the concentration of each component of organic pollutants and the change of oxygen consumption, the energy conversion equation and energy transfer equation of the organic pollutant treatment process are established, and the energy dynamics are constructed Self-heating balance model;

S3、基于能量动态自热平衡模型,构建有机污染物超净排放的能量动态优化问题,确定优化目标函数;S3. Based on the energy dynamic self-heat balance model, construct the energy dynamic optimization problem of ultra-clean emission of organic pollutants, and determine the optimization objective function;

S4、采用改进的控制轨迹参数化方法将污染物治理系统的控制输入变量表示为离散形式,使能量动态优化问题转化为非线性规划问题;S4. Using the improved control trajectory parameterization method to express the control input variables of the pollutant control system in a discrete form, so that the energy dynamic optimization problem is transformed into a nonlinear programming problem;

S5、采用ODE求解器的方式,求解上述非线性规划问题中的等式约束;采用在目标函数中构造障碍函数的罚函数法,构造对偶优化问题,求解上述非线性规划问题中的不等式约束,并通过不断迭代来降低障碍函数中的权重,得到最优控制序列和终端时间;采用模型预测控制的滚动优化策略进行迭代优化,实现系统能量自给自足。S5, using the ODE solver to solve the equality constraints in the above-mentioned nonlinear programming problem; using the penalty function method of constructing an obstacle function in the objective function, constructing a dual optimization problem, and solving the inequality constraints in the above-mentioned nonlinear programming problem, And through continuous iteration to reduce the weight of the barrier function, the optimal control sequence and terminal time are obtained; the rolling optimization strategy of model predictive control is used for iterative optimization to realize the energy self-sufficiency of the system.

进一步的,本发明的有机污染物超净排放的能量动态优化控制方法,S1中构建有机污染物治理的自热平衡率包括:Further, in the energy dynamic optimization control method for ultra-clean emission of organic pollutants of the present invention, the self-heating balance rate of organic pollutant treatment in S1 is constructed including:

S1-1、基于热力学分析,建立有机污染物催化氧化过程的能量转化方程,并基于此方程计算有机污染物在催化氧化过程中释放的总能量∑Qr,所述释放的总能量∑Qr包括:气态有机物催化氧化释放的热量Qrwg、废水催化氧化释放的热量Qrww、残液催化氧化释放的热量QrdsS1-1. Based on thermodynamic analysis, establish an energy conversion equation for the catalytic oxidation process of organic pollutants, and calculate the total energy ∑Q r released by organic pollutants during the catalytic oxidation process based on this equation. The total energy ∑Q r released is Including: heat Q rwg released by catalytic oxidation of gaseous organic matter, heat Q rww released by catalytic oxidation of wastewater, heat Q rds released by catalytic oxidation of raffinate;

S1-2、建立有机污染物治理过程的能量传递方程,并基于此方程计算有机污染物在温升、相变过程中吸收的总能量∑Qa,所述吸收的总能量∑Qa包括:废水、残液升温所需显热QaH2O-SH-w和汽化潜热QaH2O-LH、以及水蒸气和空气升温到最佳反应温度所需的总显热QgasS1-2. Establish the energy transfer equation of the organic pollutant treatment process, and based on this equation, calculate the total energy ∑Q a absorbed by the organic pollutant during the temperature rise and phase transition process. The total absorbed energy ∑Q a includes: Sensible heat Q aH2O-SH-w and latent heat of vaporization Q aH2O-LH required to raise the temperature of wastewater and raffinate, and the total sensible heat Q gas required to raise the temperature of water vapor and air to the optimum reaction temperature;

S1-3、构建有机污染物治理的自热平衡率为: S1-3. Construct the self-heating balance rate of organic pollutant treatment:

进一步的,本发明的有机污染物超净排放的能量动态优化控制方法,S1-1中有机污染物在催化氧化过程中释放的总能量∑Qr为:Further, in the energy dynamic optimization control method for ultra-clean emission of organic pollutants of the present invention, the total energy ΣQ r released by organic pollutants in the catalytic oxidation process in S1-1 is:

其中,Hwg表示废气的耗氧量对应的放热量,Vwg表示废气的耗氧量对应的体积,Cwg表示废气中有机污染物的浓度,NO2表示氧气的摩尔分数,Vm表示废气的摩尔体积,Hww表示废水的耗氧量对应的放热量,Vww表示废水的耗氧量对应的体积,ρds表示残液的密度,Vds表示残液的耗氧量对应的体积,Hds表示残液的耗氧量对应的放热量,表示残液在净化的过程中生成水吸收的热量,/>表示残液在净化的过程中生成二氧化碳吸收的热量。Among them, H wg represents the heat release corresponding to the oxygen consumption of the exhaust gas, V wg represents the volume corresponding to the oxygen consumption of the exhaust gas, C wg represents the concentration of organic pollutants in the waste gas, NO2 represents the mole fraction of oxygen, and V m represents the exhaust gas Molar volume, H ww represents the heat release corresponding to the oxygen consumption of wastewater, V ww represents the volume corresponding to the oxygen consumption of wastewater, ρ ds represents the density of the raffinate, V ds represents the volume corresponding to the oxygen consumption of the raffinate, H ds represents the heat release corresponding to the oxygen consumption of the raffinate, Indicates the heat absorbed by the residual liquid in the process of purification, /> Indicates the heat absorbed by the carbon dioxide produced by the raffinate during the purification process.

进一步的,本发明的有机污染物超净排放的能量动态优化控制方法,S1-2中有机污染物在温升、相变过程中吸收的总能量∑Qa为:Further, in the energy dynamic optimization control method for ultra-clean emission of organic pollutants of the present invention, the total energy ΣQ a absorbed by organic pollutants in the process of temperature rise and phase change in S1-2 is:

其中,表示水的摩尔流量,/>表示水的摩尔质量,T0表示废水残液的初始温度,/>表示水的汽化潜热,VMgas表示该气体的摩尔流量,Tflu表示流化床操作温度。in, Indicates the molar flow rate of water, /> Represents the molar mass of water, T 0 represents the initial temperature of the waste water raffinate, /> Represents the latent heat of vaporization of water, VM gas represents the molar flow rate of the gas, and T flu represents the operating temperature of the fluidized bed.

进一步的,本发明的有机污染物超净排放的能量动态优化控制方法,S2中建立的能量转化方程、能量传递方程和能量动态自热平衡模型为:Further, in the energy dynamic optimization control method for ultra-clean discharge of organic pollutants of the present invention, the energy conversion equation, energy transfer equation and energy dynamic self-heat balance model established in S2 are:

其中,Vi、Ti、Ci分别表示第i个反应物的体积、温度、浓度,表示不同时间有机污染物在反应过程中释放的总能量,/>表示不同时间有机污染物在温升和相变过程中吸收的总能量。Among them, V i , T i , and C i respectively represent the volume, temperature, and concentration of the i-th reactant, Indicates the total energy released by organic pollutants during the reaction at different times, /> Indicates the total energy absorbed by organic pollutants during temperature rise and phase transition at different times.

进一步的,本发明的有机污染物超净排放的能量动态优化控制方法,S3中的能量动态优化问题和目标函数为:Further, in the energy dynamic optimization control method for ultra-clean emission of organic pollutants of the present invention, the energy dynamic optimization problem and objective function in S3 are:

其中,J为目标函数,x*表示污染物治理系统在初始时刻t*时系统的初始状态,Tf表示批次过程的终端时间,同时也是优化控制问题中的预测时域,V1和V2是目标函数中的经济项参数,其中V1表示系统的过程经济项参数,V2表示终端经济项参数,U表示最优控制序列,x()表示期望状态,u(t)表示控制输入变量,d(t)表示扰动变量,F(x(t),u(t),d(t))表示过程的非线性映射关系,COD(x*)表示化学需氧量,VOCs(x*)表示挥发性有机物,x(t)表示污染物治理系统的状态,xmin表示状态变量可行域的下限、xmax表示状态变量可行域的上限、umin表示控制输入的最小值、umax表示控制输入的最大值、表示批次过程终端时间的最小值、表示批次过程终端时间的最大值。Among them, J is the objective function, x * represents the initial state of the pollutant control system at the initial time t * , T f represents the terminal time of the batch process, and is also the prediction time domain in the optimal control problem, V 1 and V 2 is the economic item parameter in the objective function, where V 1 is the process economic item parameter of the system, V 2 is the terminal economic item parameter, U is the optimal control sequence, x() is the desired state, and u(t) is the control input Variable, d(t) represents the disturbance variable, F(x(t),u(t),d(t)) represents the nonlinear mapping relationship of the process, COD(x * ) represents the chemical oxygen demand, VOCs(x * ) represents volatile organic compounds, x(t) represents the state of the pollutant control system, x min represents the lower limit of the feasible region of the state variable, x max represents the upper limit of the feasible region of the state variable, u min represents the minimum value of the control input, and u max represents The maximum value of the control input, Indicates the minimum value of the batch process terminal time, Indicates the maximum value of the batch process terminal time.

进一步的,本发明的有机污染物超净排放的能量动态优化控制方法,S4中采用改进的控制轨迹参数化方法将系统的控制输入变量表示为离散形式包括:Further, in the energy dynamic optimization control method for ultra-clean emission of organic pollutants of the present invention, in S4, the improved control trajectory parameterization method is used to express the control input variables of the system as discrete forms, including:

对于第i个控制输入,其输入序列在有限时间间隔内被离散成若干个离散的连续片段,其中,代表每一个控制间隔的长度,/>代表控制间隔的个数,其乘积/>表示整个控制时域的长度;For the i-th control input, its input sequence is discretized into several discrete continuous segments within a finite time interval, where, Represents the length of each control interval, /> Represents the number of control intervals, and its product /> Indicates the length of the entire control time domain;

当控制时域超出了先前设定的终端时间时,控制单元的宽度保持不变,控制单元的个数变为:When the control time domain exceeds the previously set terminal time, the width of the control unit remains unchanged, and the number of control units becomes:

其中,符号代表向下取整,t*表示起始时刻;Among them, the symbol Represents rounding down, t* represents the starting time;

当控制时域比优化控制时域短时,控制间隔计算公式如下:When the control time domain is shorter than the optimal control time domain, the control interval calculation formula is as follows:

其中,ω0表示期望的控制时域与当前时刻控制时域的比值。Among them, ω 0 represents the ratio of the expected control time domain to the current moment control time domain.

进一步的,本发明的有机污染物超净排放的能量动态优化控制方法,S5中采用模型预测控制的滚动优化策略进行迭代优化包括:Further, in the energy dynamic optimization control method for ultra-clean emission of organic pollutants of the present invention, the iterative optimization using the rolling optimization strategy of model predictive control in S5 includes:

在每一个采样间隔内,通过目标函数计算下一周期内的最优控制序列和优化后的终端时间Tf,并将最优控制序列的第一个数和优化后的终端时间Tf应用到能量动态自热平衡模型中,求解下一个控制时域的最优轨迹和终端时间。In each sampling interval, the optimal control sequence and the optimized terminal time T f in the next cycle are calculated by the objective function, and the first number of the optimal control sequence and the optimized terminal time T f are applied to In the energy dynamic self-heat balance model, the optimal trajectory and terminal time of the next control time domain are solved.

进一步的,本发明的有机污染物超净排放的能量动态优化控制方法,在系统的起始时刻到终端时域(t*,Tf)内,检查系统的状态变量NBound次,如果有超出边界约束,则计算超出约束范围内的积分值并乘以一个系数惩罚φ,并将其添加至原目标函数中,得到新的目标函数为:Further, the energy dynamic optimization control method of ultra-clean discharge of organic pollutants of the present invention checks the state variable N Bound times of the system from the initial moment of the system to the terminal time domain (t*, T f ), if there is Boundary constraints, calculate the integral value beyond the constraint range and multiply it by a coefficient to punish φ, and add it to the original objective function to obtain a new objective function:

其中,φk表示k时刻的惩罚系数,表示状态变量的维度,xbound表示状态变量的边界值,t1表示超出边界约束的起始时间,t2表示超出边界约束的终止时间。Among them, φ k represents the penalty coefficient at time k, Represents the dimension of the state variable, x bound represents the boundary value of the state variable, t 1 represents the start time of exceeding the boundary constraint, and t 2 represents the end time of exceeding the boundary constraint.

本发明采用以上技术方案与现有技术相比,具有以下技术效果:Compared with the prior art, the present invention adopts the above technical scheme and has the following technical effects:

1、本发明的有机污染物超净排放的能量动态优化控制方法,通过合理利用高浓度有机污染物的自身能源,建立污染物治理内部能量自热平衡控制系统,实现超净排放运行目标。1. The energy dynamic optimization control method for ultra-clean discharge of organic pollutants of the present invention, through rational use of the energy of high-concentration organic pollutants, establishes an internal energy self-heating balance control system for pollutant treatment, and realizes the operation target of ultra-clean emissions.

2、本发明的有机污染物超净排放的能量动态优化控制方法,在净化治理有机污染物的同时,解决了传统污染物治理工艺能耗大、成本高等难题。2. The energy dynamic optimization control method for ultra-clean discharge of organic pollutants of the present invention solves the problems of high energy consumption and high cost of traditional pollutant treatment processes while purifying and controlling organic pollutants.

附图说明Description of drawings

附图用来提供对本发明的进一步理解,与说明描述一起用于解释本发明的实施例,并不构成对本发明的限制。在附图中:The accompanying drawings are used to provide a further understanding of the present invention, and are used together with the description to explain the embodiments of the present invention, and do not constitute a limitation to the present invention. In the attached picture:

图1示出了本发明的有机污染物催化氧化治理工艺图。Fig. 1 shows the process diagram of the catalytic oxidation treatment of organic pollutants in the present invention.

图2示出了本发明的能量动态优化控制方法示意图。Fig. 2 shows a schematic diagram of the energy dynamic optimization control method of the present invention.

图3示出了本发明的能量内部自热平衡系统示意图。Fig. 3 shows a schematic diagram of the energy internal self-heat balance system of the present invention.

图4示出了非固定终端优化方法在预测时域和控制时域的示意图。Fig. 4 shows a schematic diagram of the non-stationary terminal optimization method in the prediction time domain and the control time domain.

图5示出了有机污染物治理效果图。Figure 5 shows the effect diagram of organic pollutant treatment.

具体实施方式Detailed ways

为了进一步理解本发明,下面结合实施例对本发明优选实施方案进行描述,但是应当理解,这些描述只是为进一步说明本发明的特征和优点,而不是对本发明权利要求的限制。In order to further understand the present invention, the preferred embodiments of the present invention are described below in conjunction with examples, but it should be understood that these descriptions are only to further illustrate the features and advantages of the present invention, rather than to limit the claims of the present invention.

该部分的描述只针对典型的实施例,本发明并不仅局限于实施例描述的范围。不同实施例的组合、不同实施例中的一些技术特征进行相互替换,相同或相近的现有技术手段与实施例中的一些技术特征进行相互替换也在本发明描述和保护的范围内。The description in this part is only for typical embodiments, and the present invention is not limited to the scope of the description of the embodiments. Combinations of different embodiments, mutual replacement of some technical features in different embodiments, mutual replacement of the same or similar prior art means and some technical features in the embodiments are also within the scope of description and protection of the present invention.

根据本发明的一个方面,一种有机污染物超净排放的能量动态优化控制方法,包括:According to one aspect of the present invention, an energy dynamic optimization control method for ultra-clean emission of organic pollutants, comprising:

S1、构建有机污染物治理的自热平衡率,所述自热平衡率定义为有机污染物治理过程中吸收的总能量与释放的总能量之比。S1. Constructing the self-heating balance rate of organic pollutant treatment, the self-heating balance rate is defined as the ratio of the total energy absorbed to the total energy released in the process of organic pollutant treatment.

S1-1、基于热力学分析,建立有机污染物催化氧化过程的能量转化方程,并基于此方程计算有机污染物在催化氧化过程中释放的总能量∑Qr,所述释放的总能量∑Qr包括:气态有机物催化氧化释放的热量Qrwg、废水催化氧化释放的热量Qrww、残液催化氧化释放的热量Qrds;有机污染物在催化氧化过程中释放的总能量∑Qr为:S1-1. Based on thermodynamic analysis, establish an energy conversion equation for the catalytic oxidation process of organic pollutants, and calculate the total energy ∑Q r released by organic pollutants during the catalytic oxidation process based on this equation. The total energy ∑Q r released is Including: the heat released by catalytic oxidation of gaseous organic matter Q rwg , the heat released by catalytic oxidation of wastewater Q rww , the heat released by catalytic oxidation of raffinate Q rds ; the total energy ∑Q r released by organic pollutants in the process of catalytic oxidation is:

其中,Hwg表示废气的耗氧量对应的放热量,Vwg表示废气的耗氧量对应的体积,Cwg表示废气中有机污染物的浓度,表示氧气的摩尔分数,Vm表示废气的摩尔体积,Hww表示废水的耗氧量对应的放热量,Vww表示废水的耗氧量对应的体积,ρds表示残液的密度,Vds表示残液的耗氧量对应的体积,Hds表示残液的耗氧量对应的放热量,/>表示残液在净化的过程中生成水吸收的热量,/>表示残液在净化的过程中生成二氧化碳吸收的热量。Among them, H wg represents the heat release corresponding to the oxygen consumption of the exhaust gas, V wg represents the volume corresponding to the oxygen consumption of the exhaust gas, and C wg represents the concentration of organic pollutants in the exhaust gas, Represents the mole fraction of oxygen, V m represents the molar volume of exhaust gas, H ww represents the heat release corresponding to the oxygen consumption of wastewater, V ww represents the volume corresponding to the oxygen consumption of wastewater, ρ ds represents the density of raffinate, V ds represents The volume corresponding to the oxygen consumption of the raffinate, H ds represents the heat release corresponding to the oxygen consumption of the raffinate, /> Indicates the heat absorbed by the residual liquid in the process of purification, /> Indicates the heat absorbed by the carbon dioxide produced by the raffinate during the purification process.

S1-2、建立有机污染物治理过程的能量传递方程,并基于此方程计算有机污染物在温升、相变过程中吸收的总能量∑Qa,所述吸收的总能量∑Qa包括:废水、残液升温所需显热和汽化潜热/>以及水蒸气和空气升温到最佳反应温度所需的总显热Qgas;有机污染物在温升、相变过程中吸收的总能量∑Qa为:S1-2. Establish the energy transfer equation of the organic pollutant treatment process, and based on this equation, calculate the total energy ∑Q a absorbed by the organic pollutant during the temperature rise and phase transition process. The total absorbed energy ∑Q a includes: Sensible heat required to raise the temperature of waste water and raffinate and latent heat of vaporization /> And the total sensible heat Q gas required by water vapor and air to heat up to the optimum reaction temperature; the total energy ΣQ a absorbed by organic pollutants in the process of temperature rise and phase change is:

其中,表示水的摩尔流量,/>表示水的摩尔质量,T0表示废水残液的初始温度,/>表示水的汽化潜热,VMgas表示该气体的摩尔流量,Tflu表示流化床操作温度。in, Indicates the molar flow rate of water, /> Represents the molar mass of water, T 0 represents the initial temperature of the waste water raffinate, /> Represents the latent heat of vaporization of water, VM gas represents the molar flow rate of the gas, and T flu represents the operating temperature of the fluidized bed.

S1-3、构建有机污染物治理的自热平衡率为: S1-3. Construct the self-heating balance rate of organic pollutant treatment:

S2、基于有机污染物采用的临氧裂解催化氧化治理工艺,根据有机污染物各组分浓度及耗氧量的变化,建立有机污染物治理过程的能量转化方程和能量传递方程,并构建能量动态自热平衡模型。建立的能量转化方程、能量传递方程和能量动态自热平衡模型为:S2. Based on the oxygen cracking catalytic oxidation treatment process adopted by organic pollutants, according to the concentration of each component of organic pollutants and the change of oxygen consumption, the energy conversion equation and energy transfer equation of the organic pollutant treatment process are established, and the energy dynamics are constructed Self-heating equilibrium model. The established energy conversion equation, energy transfer equation and energy dynamic self-heat balance model are:

其中,Vi、Ti、Ci分别表示第i个反应物的体积、温度、浓度,表示不同时间有机污染物在反应过程中释放的总能量,/>表示不同时间有机污染物在温升和相变过程中吸收的总能量。Among them, V i , T i , and C i respectively represent the volume, temperature, and concentration of the i-th reactant, Indicates the total energy released by organic pollutants during the reaction at different times, /> Indicates the total energy absorbed by organic pollutants during temperature rise and phase transition at different times.

S3、基于能量动态自热平衡模型,构建有机污染物超净排放的能量动态优化问题,确定优化目标函数。能量动态优化问题和目标函数为:S3. Based on the energy dynamic self-heat balance model, construct the energy dynamic optimization problem of ultra-clean emission of organic pollutants, and determine the optimization objective function. The energy dynamic optimization problem and objective function are:

其中,J为目标函数,x*表示污染物治理系统在初始时刻t*时系统的初始状态,Tf表示批次过程的终端时间,同时也是优化控制问题中的预测时域,V1和V2是目标函数中的经济项参数,其中V1表示系统的过程经济项参数,V2表示终端经济项参数,U表示最优控制序列,x()表示期望状态,u(t)表示控制输入变量,d(t)表示扰动变量,F(x(t),u(t),d(t))表示过程的非线性映射关系,COD(x*)表示化学需氧量,VOCs(x*)表示挥发性有机物,x(t)表示污染物治理系统的状态,xmin表示状态变量可行域的下限、xmax表示状态变量可行域的上限、umin表示控制输入的最小值、umax表示控制输入的最大值、表示批次过程终端时间的最小值、表示批次过程终端时间的最大值。Among them, J is the objective function, x * represents the initial state of the pollutant control system at the initial time t * , T f represents the terminal time of the batch process, and is also the prediction time domain in the optimal control problem, V 1 and V 2 is the economic item parameter in the objective function, where V 1 is the process economic item parameter of the system, V 2 is the terminal economic item parameter, U is the optimal control sequence, x() is the desired state, and u(t) is the control input Variable, d(t) represents the disturbance variable, F(x(t),u(t),d(t)) represents the nonlinear mapping relationship of the process, COD(x * ) represents the chemical oxygen demand, VOCs(x * ) represents volatile organic compounds, x(t) represents the state of the pollutant control system, x min represents the lower limit of the feasible region of the state variable, x max represents the upper limit of the feasible region of the state variable, u min represents the minimum value of the control input, and u max represents The maximum value of the control input, Indicates the minimum value of the batch process terminal time, Indicates the maximum value of the batch process terminal time.

S4、采用改进的控制轨迹参数化方法将污染物治理系统的控制输入变量表示为离散形式,使能量动态优化问题转化为非线性规划问题。具体为:S4. Using the improved control trajectory parameterization method to express the control input variables of the pollutant control system in a discrete form, so that the energy dynamic optimization problem is transformed into a nonlinear programming problem. Specifically:

对于第i个控制输入,其输入序列在有限时间间隔内被离散成若干个离散的连续片段,其中,代表每一个控制间隔的长度,/>代表控制间隔的个数,其乘积/>表示整个控制时域的长度;For the i-th control input, its input sequence is discretized into several discrete continuous segments within a finite time interval, where, Represents the length of each control interval, /> Represents the number of control intervals, and its product /> Indicates the length of the entire control time domain;

当控制时域超出了先前设定的终端时间时,控制单元的宽度保持不变,控制单元的个数变为:When the control time domain exceeds the previously set terminal time, the width of the control unit remains unchanged, and the number of control units becomes:

其中,符号代表向下取整,t*表示起始时刻;Among them, the symbol Represents rounding down, t* represents the starting time;

当控制时域比优化控制时域短时,控制间隔计算公式如下:When the control time domain is shorter than the optimal control time domain, the control interval calculation formula is as follows:

其中,ω0表示期望的控制时域与当前时刻控制时域的比值。Among them, ω 0 represents the ratio of the expected control time domain to the current moment control time domain.

S5、采用ODE求解器的方式,求解上述非线性规划问题中的等式约束;采用在目标函数中构造障碍函数的罚函数法,构造对偶优化问题,求解上述非线性规划问题中的不等式约束,并通过不断迭代来降低障碍函数中的权重,得到最优控制序列和终端时间;采用模型预测控制的滚动优化策略进行迭代优化,实现系统能量自给自足。其中,采用模型预测控制的滚动优化策略进行迭代优化包括:S5, using the ODE solver to solve the equality constraints in the above-mentioned nonlinear programming problem; using the penalty function method of constructing an obstacle function in the objective function, constructing a dual optimization problem, and solving the inequality constraints in the above-mentioned nonlinear programming problem, And through continuous iteration to reduce the weight of the barrier function, the optimal control sequence and terminal time are obtained; the rolling optimization strategy of model predictive control is used for iterative optimization to realize the energy self-sufficiency of the system. Among them, the iterative optimization using the rolling optimization strategy of model predictive control includes:

在每一个采样间隔内,通过目标函数计算下一周期内的最优控制序列和优化后的终端时间Tf,并将最优控制序列的第一个数和优化后的终端时间Tf应用到能量动态自热平衡模型中,求解下一个控制时域的最优轨迹和终端时间。In each sampling interval, the optimal control sequence and the optimized terminal time T f in the next cycle are calculated by the objective function, and the first number of the optimal control sequence and the optimized terminal time T f are applied to In the energy dynamic self-heat balance model, the optimal trajectory and terminal time of the next control time domain are solved.

在系统的起始时刻到终端时域(t*,Tf)内,检查系统的状态变量NBound次,如果有超出边界约束,则计算超出约束范围内的积分值并乘以一个系数惩罚φ,并将其添加至原目标函数中,得到新的目标函数为:From the initial moment of the system to the terminal time domain (t*, T f ), check the state variable of the system N Bound times, if there is a boundary constraint, calculate the integral value beyond the constraint range and multiply it by a coefficient to punish φ , and add it to the original objective function, the new objective function is:

其中,φk表示k时刻的惩罚系数,表示状态变量的维度,xbound表示状态变量的边界值,t1表示超出边界约束的起始时间,t2表示超出边界约束的终止时间。Among them, φ k represents the penalty coefficient at time k, Represents the dimension of the state variable, x bound represents the boundary value of the state variable, t 1 represents the start time of exceeding the boundary constraint, and t 2 represents the end time of exceeding the boundary constraint.

实施例1Example 1

现以丙烯酸生产过程的部分有机污染物治理过程为例,丙烯酸生产中产生的有机污染物采用流化床反应器和固定床反应器两级两相催化氧化技术进行临氧裂解催化氧化将污染物去除,如图1所示。构建能量动态自热平衡系统,如图2所示。催化反应释放的大量能量可以直接用于非气态污染物的温升与汽化所需热量,如图3所示。本发明的技术方案在临氧裂解催化氧化治理工艺深度分析的基础上,基于热力学分析提出“耗氧量”简化计算法,分别计算不同成分、不同相态下有机污染物催化氧化过程中能量转化方程(即释放能量),以及不同相态下有机污染物在温升、相变过程中的能量传递方程(即吸收能量)。Taking part of the organic pollutant treatment process in the production process of acrylic acid as an example, the organic pollutants produced in the production of acrylic acid are treated with two-stage two-phase catalytic oxidation technology in a fluidized bed reactor and a fixed bed reactor for oxygen cracking and catalytic oxidation to remove pollutants removed, as shown in Figure 1. Construct the energy dynamic self-heat balance system, as shown in Figure 2. A large amount of energy released by the catalytic reaction can be directly used for the heat required for temperature rise and vaporization of non-gaseous pollutants, as shown in Figure 3. The technical solution of the present invention is based on the in-depth analysis of the oxygen cracking catalytic oxidation treatment process, and based on the thermodynamic analysis, a simplified calculation method of "oxygen consumption" is proposed to calculate the energy conversion in the process of catalytic oxidation of organic pollutants under different components and different phase states. Equation (that is, release energy), and the energy transfer equation (that is, energy absorption) of organic pollutants in different phases in the process of temperature rise and phase change.

采用本技术方案的有机污染物超净排放约束下的能量动态优化控制方法,对丙烯酸生产过程中产生的有机污染物治理过程构建能量动态自热平衡模型,具体步骤包括:Using the energy dynamic optimization control method under the constraints of ultra-clean discharge of organic pollutants in this technical solution, a dynamic energy self-heating balance model is constructed for the organic pollutants produced in the production process of acrylic acid. The specific steps include:

S1、构建有机污染物治理的自热平衡率,定义自热平衡率为有机污染物治理过程中吸收的总能量与释放的总能量之比。S1. Construct the self-heat balance rate of organic pollutant treatment, and define the self-heat balance rate as the ratio of the total energy absorbed to the total energy released during the treatment of organic pollutants.

S1-1、建立有机污染物催化氧化过程的能量转化方程,计算有机污染物在反应过程中释放的总能量∑Qr,包括气态有机物如丙烯、丙烷、一氧化碳的催化氧化释放的热量Qrwg,废水催化氧化释放的热量Qrww,残液催化氧化释放的热量QrdsS1-1. Establish the energy conversion equation for the catalytic oxidation process of organic pollutants, calculate the total energy ∑Q r released by organic pollutants during the reaction process, including the heat Q rwg released by catalytic oxidation of gaseous organic substances such as propylene, propane, and carbon monoxide, The heat Q rww released by catalytic oxidation of wastewater, and the heat Q rds released by catalytic oxidation of raffinate.

S1-2、建立有机污染物治理过程的能量传递方程,计算有机污染物在温升、相变过程中吸收的总能量∑Qa,包括废水、残液升温所需显热和汽化潜热/>以及水蒸气和空气升温到最佳反应温度所需的总显热QgasS1-2. Establish the energy transfer equation of the organic pollutant treatment process, and calculate the total energy ∑Q a absorbed by the organic pollutant in the process of temperature rise and phase change, including the sensible heat required for the temperature rise of waste water and raffinate and latent heat of vaporization /> And the total sensible heat Q gas required to warm up the water vapor and air to the optimum reaction temperature.

S1-3、有机污染物治理的自热平衡率为吸收的总能量与释放的总能量之比: S1-3. The self-heating balance rate of organic pollutant treatment is the ratio of the total energy absorbed to the total energy released:

S2、根据有机污染物各组分浓度及耗氧量的变化建立有机污染物治理过程的能量转换方程和能量传递方程,构建能量动态自热平衡模型:S2. Establish the energy conversion equation and energy transfer equation of the organic pollutant treatment process according to the change of the concentration of each component of the organic pollutant and the oxygen consumption, and construct the energy dynamic self-heating balance model:

其中Vi、Ti、Ci分别表示第i个反应物的体积、温度、浓度,表示不同时间有机污染物在反应过程中释放的总能量,/>表示不同时间有机污染物在温升和相变过程中吸收的总能量。Where V i , T i , and C i represent the volume, temperature, and concentration of the i-th reactant, respectively, Indicates the total energy released by organic pollutants during the reaction at different times, /> Indicates the total energy absorbed by organic pollutants during temperature rise and phase transition at different times.

当HBR(t)=1时,则有机污染物治理系统内部能量自给自足,不需要外界供热;当HBR(t)≠1时,则需要计算调控废水和精馏残液的流量,直到满足HBR(t)=1;如经过调控后HBR(t)>1,则说明有机污染物释放的热量不足以维持自热平衡,需要外接供热以维持催化反应的最佳反应温度。When HBR(t)=1, the internal energy of the organic pollutant treatment system is self-sufficient and does not require external heat supply; when HBR(t)≠1, it is necessary to calculate and control the flow of waste water and rectification raffinate until it satisfies HBR(t)=1; if HBR(t)>1 after adjustment, it means that the heat released by the organic pollutants is not enough to maintain the self-heating balance, and an external heat supply is needed to maintain the optimal reaction temperature of the catalytic reaction.

S3、构建有机污染物超净排放多约束下的能量动态优化问题,确定优化目标函数。其动态优化问题描述为:S3. Construct an energy dynamic optimization problem under multiple constraints of ultra-clean emission of organic pollutants, and determine an optimization objective function. Its dynamic optimization problem is described as:

其中x*表示系统在初始时刻t*时系统的初始状态,Tf表示批次过程的终端时间,同时也是优化控制问题中的预测时域。V1和V2是目标函数中的经济项参数,其中V1表示系统的过程经济项参数,V2表示终端经济项参数。Where x * represents the initial state of the system at the initial time t * , and T f represents the terminal time of the batch process, which is also the prediction time domain in the optimal control problem. V 1 and V 2 are the economic item parameters in the objective function, where V 1 indicates the process economic item parameters of the system, and V 2 indicates the terminal economic item parameters.

S4、采用控制轨迹参数化方法来离散系统的控制输入变量,使得动态优化问题转为一个非线性规划约束问题,并求解该非线性规划问题,具体为:S4. Use the control trajectory parameterization method to discretize the control input variables of the system, so that the dynamic optimization problem is transformed into a nonlinear programming constraint problem, and solve the nonlinear programming problem, specifically:

如图4所示,对于第i个控制输入,其输入序列在有限时间间隔内被离散成若干个离散的连续片段,其中代表每一个控制间隔的长度,/>代表控制间隔的个数,其乘积 表示整个控制时域的长度。在初始化选择控制间隔长度和大小的过程中,是由被控对象的动态特性所决定的,离散后的控制序列更利于目标函数进行求解计算。As shown in Figure 4, for the i-th control input, its input sequence is discretized into several discrete continuous segments within a finite time interval, where Represents the length of each control interval, /> Represents the number of control intervals, the product of which Indicates the length of the entire control domain. In the process of initial selection of the length and size of the control interval, it is determined by the dynamic characteristics of the controlled object, and the discrete control sequence is more conducive to the calculation of the objective function.

当控制时域超出了先前设定的终端时间时,控制单元的宽度将保持不变,而控制单元的个数会发生变化:When the control time domain exceeds the previously set terminal time, the width of the control unit will remain unchanged, while the number of control units will change:

符号代表向下取整,t*表示起始时刻。symbol Represents rounding down, and t* represents the starting time.

当控制时域比优化控制时域要短时,控制间隔计算公式如下:When the control time domain is shorter than the optimal control time domain, the control interval calculation formula is as follows:

其中ω0表示期望的控制时域与当前时刻控制时域的比值。Where ω 0 represents the ratio of the expected control time domain to the current moment control time domain.

边界约束中的等式约束,也就是能量动态模型,可以直接通过ODE求解器的方式进行计算。在求解不等式约束时,由于无法直接进行计算,采用罚函数法解决不等式约束,罚函数法通过在目标函数中构造障碍函数,构造对偶优化问题来解决非线性规划问题中的不等式约束,通过不断迭代来降低障碍函数中的权重,得到最佳的控制序列和最优时间。The equality constraints in the boundary constraints, that is, the energy dynamic model, can be directly calculated by the ODE solver. When solving inequality constraints, since it is impossible to directly calculate, the penalty function method is used to solve the inequality constraints. The penalty function method solves the inequality constraints in the nonlinear programming problem by constructing an obstacle function in the objective function and constructing a dual optimization problem. Through continuous iteration To reduce the weight in the barrier function, get the best control sequence and optimal time.

在优化控制的每一次循环过程中,目标函数都需要被重新进行计算估计,过程模型通过目标函数计算出下一个周期内的最优控制序列以及优化后的终端时间Tf,并将优化控制序列的第一个数和优化的终端时间Tf应用到动态模型中,去求解下一个控制时域的最优轨迹和终端时间,在系统的起始时刻到终端时域(t*,Tf)内,系统的状态变量将会检查NBound次,如果有超出边界约束,将会计算出超出约束范围内的积分值并乘以一个系数惩罚φ,并将其添加至原目标函数中:In each cycle of optimal control, the objective function needs to be recalculated and estimated. The process model calculates the optimal control sequence in the next cycle and the optimized terminal time T f through the objective function, and optimizes the control sequence The first number of and the optimized terminal time T f are applied to the dynamic model to solve the optimal trajectory and terminal time of the next control time domain, from the initial moment of the system to the terminal time domain (t*,T f ) Within, the state variable of the system will be checked N Bound times, if there is a boundary constraint, the integral value beyond the constraint range will be calculated and multiplied by a coefficient to punish φ, and added to the original objective function:

在每一个采样间隔内,过程模型通过目标函数计算出下一个周期内的最优控制序列以及优化后的终端时间Tf,并将优化控制序列的第一个数和优化的终端时间Tf应用到动态模型中,去求解下一个控制时域的最优轨迹和终端时间,迭代优化实现对有机废气、废水、残液和氧气过量倍数的实时自动控制,实现系统能量自给自足。In each sampling interval, the process model calculates the optimal control sequence and the optimized terminal time T f in the next cycle through the objective function, and applies the first number of the optimized control sequence and the optimized terminal time T f to Into the dynamic model, to solve the optimal trajectory and terminal time of the next control time domain, iterative optimization realizes real-time automatic control of organic waste gas, wastewater, raffinate and oxygen excess multiples, and realizes self-sufficiency of system energy.

这里本发明的描述和应用是说明性的,并非想将本发明的范围限制在上述实施例中。说明书中所涉及的效果或优点等相关描述可因具体条件参数的不确定或其它因素影响而可能在实际实验例中不能体现,效果或优点等相关描述不用于对发明范围进行限制。这里所披露的实施例的变形和改变是可能的,对于那些本领域的普通技术人员来说实施例的替换和等效的各种部件是公知的。本领域技术人员应该清楚的是,在不脱离本发明的精神或本质特征的情况下,本发明可以以其它形式、结构、布置、比例,以及用其它组件、材料和部件来实现。在不脱离本发明范围和精神的情况下,可以对这里所披露的实施例进行其它变形和改变。The description and application of the invention herein is illustrative and is not intended to limit the scope of the invention to the above-described embodiments. Relevant descriptions such as effects or advantages involved in the description may not be reflected in actual experimental examples due to uncertainties in specific conditions and parameters or other factors. Relevant descriptions such as effects or advantages are not used to limit the scope of the invention. Variations and changes to the embodiments disclosed herein are possible, and substitutions and equivalents for various components of the embodiments are known to those of ordinary skill in the art. It should be clear to those skilled in the art that the present invention can be realized in other forms, structures, arrangements, proportions, and with other components, materials and parts without departing from the spirit or essential characteristics of the present invention. Other modifications and changes may be made to the embodiments disclosed herein without departing from the scope and spirit of the invention.

Claims (9)

1. The energy dynamic optimization control method for the ultra-clean emission of the organic pollutants is characterized by comprising the following steps of:
s1, constructing an self-heating balance rate for organic pollutant treatment, wherein the self-heating balance rate is defined as the ratio of total energy absorbed to total energy released in the organic pollutant treatment process;
s2, based on an oxygen-induced cracking catalytic oxidation treatment process adopted by the organic pollutants, an energy conversion equation and an energy transfer equation of the organic pollutant treatment process are established according to the concentration of each component of the organic pollutants and the change of oxygen consumption, and an energy dynamic self-heating balance model is established;
s3, constructing an energy dynamic optimization problem of ultra-clean emission of organic pollutants based on an energy dynamic self-heating balance model, and determining an optimization objective function;
s4, using an improved control track parameterization method to represent a control input variable of the pollutant treatment system in a discrete form, so that the energy dynamic optimization problem is converted into a nonlinear programming problem;
s5, solving the equation constraint in the nonlinear programming problem by adopting an ODE solver; constructing a dual optimization problem by adopting a penalty function method for constructing an obstacle function in an objective function, solving the inequality constraint in the nonlinear programming problem, and reducing the weight in the obstacle function through continuous iteration to obtain an optimal control sequence and terminal time; and (3) performing iterative optimization by adopting a rolling optimization strategy of model predictive control to realize self-sufficiency of system energy.
2. The energy dynamic optimization control method for ultra-clean emission of organic pollutants according to claim 1, wherein constructing the self-heating balance rate for organic pollutant treatment in S1 comprises:
s1-1, based on thermodynamic analysis, establishing an energy conversion equation of the catalytic oxidation process of the organic pollutants, and calculating the release of the organic pollutants in the catalytic oxidation process based on the equationTotal energy sigma Q r The total energy of the release Σq r Comprising the following steps: heat Q released by catalytic oxidation of gaseous organic matter rwg Heat Q released by catalytic oxidation of waste water rww Heat released by catalytic oxidation of residual liquid Q rds
S1-2, establishing an energy transfer equation of the organic pollutant treatment process, and calculating total energy sigma Q absorbed by the organic pollutant in the temperature rise and phase change processes based on the equation a The total energy of the absorption sigma Q a Comprising the following steps: sensible heat required by heating up waste water and residual liquidAnd latent heat of vaporization->Total sensible heat Q required for water vapor and air to warm up to optimal reaction temperature gas
S1-3, constructing self-heating balance rate of organic pollutant treatment:
3. the energy dynamic optimization control method for ultra-clean emission of organic pollutants according to claim 2, wherein the total energy Sigma Q released by the organic pollutants in S1-1 in the catalytic oxidation process r The method comprises the following steps:
wherein ,Hwg Represents the amount of heat release corresponding to the oxygen consumption of the exhaust gas, V wg Representing the volume corresponding to the oxygen consumption of the exhaust gas, C wg Indicating the concentration of organic pollutants in the exhaust gas,represents the mole fraction of oxygen, V m Represents the molar volume of the exhaust gas, H ww Represents the heat release amount corresponding to the oxygen consumption of the wastewater, V ww Represents the volume corresponding to the oxygen consumption of the wastewater, ρ ds Representing the density of the residual liquid, V ds Represents the volume corresponding to the oxygen consumption of the residual liquid, H ds Indicates the heat release amount corresponding to the oxygen consumption of the residual liquid, < + >>Indicating that the residual liquid generates heat absorbed by water during purification>Indicating the amount of heat absorbed by the carbon dioxide generated by the raffinate during the purification process.
4. The energy dynamic optimization control method for ultra-clean emission of organic pollutants according to claim 2, wherein the total energy sigma Q absorbed by the organic pollutants in S1-2 in the temperature rise and phase change processes a The method comprises the following steps:
wherein ,represents the molar flow of water, +.>Represents the molar mass of water, T 0 Indicating the initial temperature of the residual liquid of the wastewater,representing the latent heat of vaporization of water, VM gas Represents the molar flow rate of the gas, T flu Indicating the fluidized bed operating temperature.
5. The energy dynamic optimization control method for ultra-clean emission of organic pollutants according to claim 1, wherein the energy conversion equation, the energy transfer equation and the energy dynamic self-heating balance model established in S2 are as follows:
wherein ,Vi 、T i 、C i Respectively representing the volume, temperature and concentration of the ith reactant,represents the total energy released by the organic pollutants during the reaction at different times, +.>Indicating the total energy absorbed by the organic contaminants during the temperature rise and phase change at different times.
6. The energy dynamic optimization control method for ultra-clean emission of organic pollutants according to claim 1, wherein the energy dynamic optimization problem and objective function in S3 are:
wherein J is an objective function, x * Indicating that the pollutant treating system is at the initial time t * Initial state of time system, T f Representing the end time of a batch process, and also being the predicted time domain in the optimization control problem, V 1 and V2 Is an economic term parameter in the objective function, where V 1 Representing process economic parameters of the system, V 2 Indicating terminal economyThe term parameters, U, represents the optimal control sequence, x () represents the desired state, U (t) represents the control input variable, d (t) represents the disturbance variable, F (x (t), U (t), d (t)) represents the nonlinear mapping of the process, COD (x) * ) Represents chemical oxygen demand, VOCs (x * ) Representing volatile organic compounds, x (t) representing the state of the pollutant abatement system, x min Representing the lower bound, x, of the feasible domain of state variables max Representing the upper limit, u, of the feasible region of the state variable min Representing the minimum value of the control input, u max Represents the maximum value of the control input,Representing the minimum value of the end time of the batch process,Representing the maximum value of the end time of the batch process.
7. The energy dynamic optimization control method of ultra-clean emission of organic pollutants according to claim 1, wherein the representation of the control input variables of the system in a discrete form using the modified control trajectory parameterization method in S4 comprises:
for the ith control input, its input sequence is discretized into a number of discrete, consecutive segments within a finite time interval, wherein,representing the length of each control interval, +.>Represents the number of control intervals, the product +.>Representing the length of the entire control time domain;
when the control time domain exceeds the previously set terminal time, the width of the control units remains unchanged, and the number of the control units becomes:
wherein the symbols areRepresents a downward rounding, t represents a starting time;
when the control time domain is shorter than the optimal control time domain, the control interval calculation formula is as follows:
wherein ,ω0 Representing the ratio of the desired control time domain to the current time control time domain.
8. The method for dynamic energy optimization control of ultra-clean emission of organic pollutants according to claim 1, wherein the iterative optimization in S5 using a rolling optimization strategy controlled by model prediction comprises:
in each sampling interval, calculating the optimal control sequence and the optimized terminal time T in the next period through an objective function f And the first number of the optimal control sequences and the optimized terminal time T f The method is applied to an energy dynamic self-heating balance model, and solves the optimal track and the terminal time of the next control time domain.
9. The method for dynamically optimizing and controlling the energy of ultra-clean emission of organic pollutants according to claim 8, wherein the time-domain (T, T f ) In, the state variable N of the inspection system Bound If the boundary constraint is exceeded, calculating an integral value exceeding the constraint range, multiplying the integral value by a coefficient penalty phi, and adding the coefficient penalty phi to the original objective function to obtain a new objective function as follows:
wherein ,φk The penalty factor at time k is indicated,representing the dimension, x of a state variable bound Representing the boundary value, t, of a state variable 1 Represents the start time, t, beyond the boundary constraint 2 Indicating a termination time beyond the boundary constraint.
CN202310588328.9A 2023-05-23 2023-05-23 Energy dynamic optimization control method for ultra-clean emission of organic pollutants Pending CN116700163A (en)

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