CN100444181C - Online soft measuring method for promoter consumption during PX oxidation reaction process of industrial equipment - Google Patents

Abstract

The present invention provides an on-line soft measurement method for the consumption of accelerating agents in the paraxylene (PX) oxidation reaction process of an industrial device. The method of the present invention can be used for the on-line computation of oxidative unit accelerating agent consumption according to real-time data of the flow strand flow capacity (at an outlet of an ingredient mixing tank), the concentration of accelerating agents of solutions in the ingredient mixing tanks, the flow capacity of circulating mother liquor and the concentration of accelerating agents of the circulating mother liquor, or under the condition of the accelerating agent concentration real-time detection without the circulating mother liquor, the method of the present invention is used for the real-time computation of the oxidative unit accelerating agent consumption through the concentration of the accelerating agents of the solutions of the ingredient mixing tank, the flow strand flow capacity of the ingredient mixing tank and the mother liquor circulating rate. Thus, the present invention realizes the on-line soft measurement on the consumption of the accelerating agents in the PX oxidation reaction process, and provides guidance for the production operation parameter optimization.

Description

The online soft sensor method of commercial plant PX oxidation reaction process promoter consumption

Technical field

(Pure Terephthalic Acid, PTA) the online soft sensor method of one of main material consumption of oxidation unit in the production run-bromine promoter belong to the crucial material consumption of chemical process in the line computation field to the present invention relates to the commercial plant pure terephthalic acid.

Background technology

The crucial material consumption of chemical process is the basis of carrying out technology adjustment and production operation parameter optimization in line computation.Its main task is by investigating the characteristic of chemical process, quantitatively understand of the influence of main relevant operational parameter to the crucial material consumption of production run, be familiar with its rule and mechanism, set up correlation model, thereby for the optimization of producing operating parameter, the transformation that reaches production technology etc. provide foundation and means, it is very great therefore to set up the crucial material consumption model of energy accurate description chemical process meaning.

PTA is the important source material of synthetic polyester fibers and plastics, is mainly used to the intermediate phthalic acid glycol ester (PET) of synthesizing polyester.The synthetic history of PTA can be traced back to the '20s in last century always, and early stage PTA produces by phthalic anhydride and benzoic acid raw material route synthetic, is all replaced by PX raw material route cheaply afterwards.It is solvent that the mid-50 MID-CENTURY company has developed with acetic acid, and cobalt, manganese, bromine catalysed oxidation PX produce PTA technology (being called for short MC technology), and this patent is buied by AMOCO company in the back, and carries out suitability for industrialized production.The PTA of this explained hereafter has product purity height, yield height, raw and auxiliary material and consumes advantages such as low, has very strong white war.The sixties, it and EASTMAN/KODA and toray company are promoter with acetaldehyde or trioxymethylene, and cobalt is the low temperature oxidation technology of catalyzer and deposits.After the seventies, AMOCO company has carried out bigger improvement to its production technology, has optimized the proportioning of catalyzer, has reduced temperature of reaction, has relaxed oxidation reaction condition, makes that the unit consumption of acetic acid is significantly reduced, and has alleviated the corrosion of equipment.And further oxidation reactor has been carried out secondary development, realized the separate unit reactor technology.By current innovation, make that the superiority in economy of AMOCO technology is more obvious, and become the common processes that PTA produces rapidly.

Present most important PTA production technology mainly comprises: U.S. BP-AMOCO technology, Britain ICI technology and Mitsui technology, wherein about 80% PTA adopts the BP-AMOCO oxidation technology to produce.Therefore, the oxidation unit of PTA production here bromine promoter consumption on-line calculation method is to set up at BP-AMOCO technology oxidation unit.In BP-AMOCO technology oxidation unit, the bromine promoter circulation system as shown in Figure 1.Cleansing solution, circulating mother liquor enter the batch mixes jar at the bottom of fresh PX, fresh acetic acid, fresh catalyst, fresh promoter, female solid recovery, oxidation reaction unit condenser portion lime set, the high pressure absorber tower, are mixed into the solvent of certain PX concentration; Enter oxidation reaction unit, crystalline element, vacuum filter then successively, arrive mother liquor tank at last; Contain Terephthalic Acid (TA) filter cake drying machine and be dried to TA and go out system, mother liquor partly goes out the system recovery unit that desolvates in the mother liquor tank, and all the other loop back the batch mixes jar.

Because fresh acetic acid, female solid recoverys, fresh PX, and fresh catalyst in do not contain bromine promoter, so in the whole bromine promoter circulation system, bromine promoter addition is to be provided by fresh bromine promoter; The loss of total system bromine promoter is to be caused by two parts:

1) contain a large amount of bromine promoter in the mother liquor, because the Recycling Mother Solution rate can't reach 100%, partial mother liquid will arrive the acetic acid recovery system, therefore causes the loss of bromine promoter;

2), go out in the gas of system to contain a certain amount of bromine promoter owing to reasons such as liquid foam entrainments; The gas flow that wherein goes out system is big, and it is small that it contains bromine promoter degree, and its on-line analysis has difficulties on measuring, and estimate that gas goes out system and causes the loss of bromine promoter very difficult and accurately very difficult.Simultaneously, the bromine promoter concentration of oxidation unit batch mixes jar solution, batch mixes jar outlet stream plume amount, and crucial adjustable operating parameter such as Recycling Mother Solution rate not only to the quality of oxidation unit TA product, acetic acid consumption, and P-xylene consumption significant effects is arranged, and the consumption of the monobromo promoter of the crucial material consumption of oxidation unit is also had material impact.

Soft measurement result has the important control action to commercial production reality, and requires in time the result to be fed back in the production control to go.Therefore, carrying out the online soft sensor of oxidation unit bromine promoter consumption, is to carry out the production operation parameter adjustment, the basis of operation parameter optimization according to surveying operating parameter in the consumption of line computation oxidation unit bromine promoter in real time.

Summary of the invention

Technical matters to be solved by this invention provide a kind of in line computation commercial plant PTA production run the flexible measurement method of oxidation unit promoter consumption.This method can be according to the promoter concentration of oxidation unit batch mixes jar solution, batch mixes jar rate of discharge (being the reactor feed flow), and the Recycling Mother Solution rate, calculate promoter consumption in real time, thereby provide guidance for the adjustment of production technology and the optimization of operating parameter.

The present invention has adopted following technical proposals: the online soft sensor method that a kind of oxidation reaction process promoter consumption is provided, comprise the steps: to set up consumption and the batch mixes jar outlet stream plume amount and the promoter concentration thereof of promoter, and the correlation model of the flow of circulating mother liquor and promoter concentration thereof; The real time data of on-line measurement batch mixes jar outlet stream plume amount and promoter concentration thereof; The flow of on-line measurement circulating mother liquor and the real time data of promoter concentration thereof; Consumption line computation promoter.

Concrete principle is as follows: fresh bromine promoter enters this circulation system by feed proportioning system in the whole bromine promoter circulation system.The stream thigh that enters the batch mixes jar has: cleansing solution, circulating mother liquor at the bottom of fresh PX, fresh acetic acid, fresh catalyst, fresh promoter, female solid recovery, oxidation reaction unit condenser portion lime set, the high pressure absorber tower.The solvent that these stream thighs that enter the batch mixes jar are mixed into certain PX concentration goes out the batch mixes jar and enters the oxidation reaction unit and carry out oxidation reaction.Can define: m _iThe mass rate of (or going out) batch mixes jar i stream thigh is advanced in expression, and unit is Kg/Hr; x _iIt is the mass percent of bromine in the i stream thigh; I is a stream bid will, and i=CAT (fresh catalyst), ACC (fresh promoter), ML (circulating mother liquor), BE-115 (oxidation reaction unit condenser portion lime set), BT-111 (cleansing solution at the bottom of the high pressure absorber tower), HAc (fresh acetic acid), MS (female solid recovery), PX (fresh PX), BD-105 (batch mixes jar outlet stream strand).

In feed proportioning system, enter the fresh acetic acid of the bromine promoter circulation system, female solid recovery, fresh catalyst, reach among the fresh PX and do not contain bromine promoter, that is:

x _HAc＝0；

x _MS＝0；

x _CAT＝0；

x _PX＝0。

In cleansing solution at the bottom of the oxidation reaction unit of bromine promoter circulation system condenser portion lime set and the high pressure absorber tower, do not contain bromine promoter, that is: yet

x _BE-115＝0；

x _BT-111＝0；

Then, when feed proportioning system is in equilibrium state, keep weighing apparatus according to quality, equal into and out of the material of batch mixes jar, promptly have:

m _ACC×x _ACC+m _ML×x _ML＝m _BD-105×x _BD-105， (1)

:

m _ACC×x _ACC＝m _BD-105×x _BD-105-m _ML×x _ML。(2)

Known:

The molecular weight of hydrogen bromide: 80.93Kg/Kmol

The molecular weight of bromine: 79.93Kg/Kmol

If:

TA product per ton consumes PX amount: cm _PXKg/ ton .TA

The output of TA product: m per hour _CTATon/Hr

The loss amount of TA product bromine promoter per ton: y ^HBrKg/ ton .TA

The batch mixes jar goes out PX mass percent: x in the incoming flow thigh _BD-105 ^PX

:

$m_{\mathrm{CTA}}=\frac{m_{\mathrm{BD}-105}\×x_{\mathrm{BD}-105}^{\mathrm{PX}}}{{\mathrm{cm}}_{\mathrm{PX}}};$

$y^{\mathrm{HBr}}=\frac{\frac{m_{\mathrm{ACC}}\×x_{\mathrm{ACC}}}{79.93}\×80.93}{m_{\mathrm{CTA}}}=1.013\×\frac{{\mathrm{cm}}_{\mathrm{PX}}}{x_{\mathrm{BD}-105}^{\mathrm{PX}}}\×(x_{\mathrm{BD}-105}-\frac{m_{\mathrm{ML}}}{m_{\mathrm{BD}-105}}\×x_{\mathrm{ML}}).---\left(3\right)$

The PX concentration of batch mixes jar outlet stream thigh, TA product per ton consumption PX amount remain unchanged in actual production process, i.e. x _BD-105 ^PX, cm _PXIt is constant; As can be seen, the amount of the bromine promoter of TA product per ton consumption is the flow and the bromine promoter concentration of batch mixes jar outlet stream thigh, and the function of the flow of circulating mother liquor and bromine promoter concentration from correlation model (3).

In actual production process, batch mixes jar outlet stream plume amount and bromine promoter concentration thereof are important controlling index, generally have the real-time measurement of batch mixes jar outlet stream plume amount and the online instrument of analysis of bromine promoter concentration to measure.The circulating mother liquor flow also has real-time traffic to detect usually.If the bromine promoter concentration also has in-line meter to measure in the circulating mother liquor, then can use correlation model (3), real-time detection, analysis data by gathering correlated variables calculate the consumption of oxidation unit bromine promoter in real time.

If the bromine promoter concentration of circulating mother liquor does not have the measurement of in-line meter, the present invention also provides the online soft sensor method of another kind of commercial plant PX oxidation reaction process promoter consumption simultaneously, and it comprises the steps: to set up the flow of circulating mother liquor and the correlation model of batch mixes jar outlet stream plume amount; Set up the correlation model of promoter concentration in circulating mother liquor promoter concentration and the batch mixes jar outlet stream thigh; Set up consumption and the batch mixes jar outlet stream plume amount and the promoter concentration thereof of promoter, and the correlation model of the flow of circulating mother liquor and promoter concentration thereof; According to above-mentioned correlation model, thereby set up batch mixes jar outlet stream plume amount and promoter concentration thereof, with Recycling Mother Solution rate correlation model; On-line measurement batch mixes jar outlet stream plume amount and promoter concentration thereof, and Recycling Mother Solution rate; Consumption line computation promoter.

Its concrete principle is as follows: by the flow process of liquid phase stream thigh in the bromine promoter circulation system is analyzed discovery: generate TA except PX through reaction and separate out from the stream thigh that the batch mixes jar comes out, and separate out TA after filtration, drying goes out outside the system, remaining is formed through a series of vapor-liquid equilibrium, finally flows into mother liquor tank and forms mother liquor.Because the pressure and temperature of total system is in a series of metastable states, and the main composition of the stream thigh that comes out from the batch mixes jar also is to keep a metastable value (all keeing relative stability as the content of PX content, HAc content, water etc.), promptly the stream stock-traders' know-how of coming out from the batch mixes jar is crossed a series of vapor-liquid equilibrium, and the number percent that finally forms liquid and vapor capacity will remain unchanged.So the total flow and the batch mixes jar rate of discharge linear dependence of mother liquor, bromine promoter concentration linear dependence in bromine promoter concentration and the batch mixes jar outlet stream thigh in the mother liquor.Linear relationship can be carried out the correlation analysis acquisition by the historical data on the harvester between these variablees.

If, the total flow m of mother liquor _ML ^ALL(Kg/Hr) correlation model with batch mixes jar rate of discharge is:

$m_{\mathrm{ML}}^{\mathrm{ALL}}=a^m\×m_{\mathrm{BD}-105}\×(1-x_{\mathrm{BD}-105}^{\mathrm{PX}})+b^m;---\left(4\right)$

In the mother liquor in bromine promoter concentration and the batch mixes jar outlet stream strand the correlation model of bromine promoter concentration be:

x _ML＝a×x _BD-105+b； (5)

A wherein ^m, b ^mA, b is the regression coefficient of model, can go out the flow and the bromine promoter concentration of incoming flow thigh by gathering batch mixes jar under the actual different production status, and corresponding mother liquor total flow and bromine promoter concentration are carried out linear regression and determined that the regression coefficient of model sets up correlation model.

If the Recycling Mother Solution rate is P _ML, then the circulating mother liquor flow is:

$m_{\mathrm{ML}}=m_{\mathrm{ML}}^{\mathrm{ALL}}\×P_{\mathrm{ML}}.---\left(6\right)$

With (4), (5), (6) correlation model substitution (3):

$y^{\mathrm{HBr}}=1.013\×\frac{{\mathrm{cm}}_{\mathrm{PX}}}{x_{\mathrm{BD}-105}^{\mathrm{PX}}}\×(x_{\mathrm{BD}-105}-\frac{a^m\×m_{\mathrm{BD}-105}\×(1-x_{\mathrm{BD}-105}^{\mathrm{PX}})+b^m}{m_{\mathrm{BD}-105}}\×P_{\mathrm{ML}}\×(a\×x_{\mathrm{BD}-105}+b))---\left(7\right)$

Above equation (7) is the flow m with material-compound tank outlet stream thigh _BD-105, bromide ion concentration x _BD-105, and Recycling Mother Solution rate P _MLBe independent variable, bromine promoter consumption amount is the model of dependent variable, can be according to the flow m of material-compound tank outlet stream thigh by this model _BD-105, bromide ion concentration x _BD-105, and Recycling Mother Solution rate P _MLThese main performance variables are in line computation oxidation unit bromine promoter consumption amount.

Characteristics of the present invention are: when bromine promoter concentration in batch mixes jar and the mother liquor has in-line meter to measure, adopt equation (3) (or (7)), calculate the consumption of bromine promoter by bromine promoter concentration in-line meter measured value in batch mixes jar outlet stream plume measurement value, Recycling Mother Solution measurement value and batch mixes jar and the mother liquor in real time; When the bromine promoter concentration has in-line meter to measure in the batch mixes jar is only arranged, adopt equation (7), calculate the consumption of bromine promoter by bromine promoter concentration in-line meter measured value in the measurement of batch mixes jar outlet stream plume value, Recycling Mother Solution rate and the batch mixes jar in real time.

Description of drawings

Fig. 1 is an oxidation unit bromine promoter circulation system block diagram.

Fig. 2 is the feed proportioning system synoptic diagram in the bromine promoter circulation system shown in Figure 1.

Embodiment

The invention will be further described below in conjunction with accompanying drawing and by embodiment:

PTA production technology with BP-AMOCO is an example, and its oxidation unit bromine promoter circulation system is seen shown in Figure 1.Cleansing solution, circulating mother liquor enter the batch mixes jar at the bottom of fresh PX, fresh acetic acid, fresh catalyst, fresh promoter, female solid recovery, oxidation reaction unit condenser portion lime set, the high pressure absorber tower, are mixed into the solvent of certain PX concentration; Enter oxidation reaction unit, crystalline element, vacuum filter then successively, arrive mother liquor tank at last; Contain TA filter cake drying machine and be dried to TA and go out system, mother liquor partly goes out the system recovery unit that desolvates in the mother liquor tank, and all the other loop back the batch mixes jar.

Fig. 2 describes the feed proportioning system in the whole bromine promoter circulation system in detail.As can be seen from Figure 2, the stream thigh that enters the batch mixes jar has: cleansing solution, circulating mother liquor at the bottom of fresh PX, fresh acetic acid, fresh catalyst, fresh promoter, female solid recovery, oxidation reaction unit condenser portion lime set, the high pressure absorber tower.The solvent that these stream thighs that enter the batch mixes jar are mixed into certain PX concentration goes out the batch mixes jar and enters the oxidation reaction unit and carry out oxidation reaction.In Fig. 2, m _iThe mass rate of (or going out) batch mixes jar i stream thigh is advanced in expression, and unit is Kg/Hr; x _iIt is the mass percent of bromine in the i stream thigh; I is a stream bid will, and i=CAT (fresh catalyst), ACC (fresh promoter), ML (circulating mother liquor), BE-115 (oxidation reaction unit condenser portion lime set), BT-111 (cleansing solution at the bottom of the high pressure absorber tower), HAc (fresh acetic acid), MS (female solid recovery), PX (fresh PX), BD-105 (batch mixes jar outlet stream strand).

If, in this production technology, the online detected value of batch mixes jar flow detection and bromine promoter concentration thereof is arranged, and the Recycling Mother Solution detection values, the online detection of bromine promoter concentration in the circulating mother liquor do not had.If the batch mixes jar goes out PX mass percent in the incoming flow thigh $x_{\mathrm{BD}-105}^{\mathrm{PX}}=0.18,$ TA product per ton consumes PX amount cm _PX=670Kg/ ton .TA, then equation (7) is:

$y^{\mathrm{HBr}}=3770.6\×(x_{\mathrm{BD}-105}-\frac{a^m\×m_{\mathrm{BD}-105}\×(1-x_{\mathrm{BD}-105}^{\mathrm{PX}})+b^m}{m_{\mathrm{BD}-105}}\×P_{\mathrm{ML}}\×(a\×x_{\mathrm{BD}-105}+b)).---\left(8\right)$

Gather in the actual production process batch mixes jar under the different production status and go out the flow and the bromine promoter concentration of incoming flow thigh, and corresponding mother liquor total flow and bromine promoter concentration carry out linear regression, (4), (5) regression model parameter are as follows:

$\left\{\begin{array}{c}{a}^m=0.705\\ b^m=0\\ a=0.75506\\ b=361.462\×{10}^{-6}\end{array}\right.$

To obtain in the regression parameter substitution equation (8):

y ^HBr＝3770.6×(x _BD-105-0.5781×P _ML×(0.75506×x _BD-105+361.462×10 ^-6))

If in production run, the flow that the batch mixes jar goes out the incoming flow thigh is m _BD-105=8000Kg/Hr,

The bromine promoter concentration mass percent that the batch mixes jar goes out the incoming flow thigh is x _BD-105=0.0450,

Recycling Mother Solution rate P _ML=0.95, calculate then that oxidation unit bromine promoter consumption is under this operating parameter:

y ^HBr=0.245Kg/ ton .TA.

More than be to measure bromine promoter concentration in-line meter measured value in value, Recycling Mother Solution rate and the batch mixes jar, calculate the whole process of oxidation unit bromine promoter consumption in real time by batch mixes jar outlet stream plume.

Claims (8)

1, a kind of online soft sensor method of commercial plant PX oxidation reaction process promoter consumption is characterized in that, comprises the steps:

Set up promoter consumption amount and batch mixes jar outlet stream plume amount and promoter concentration thereof, and the correlation model of the flow of circulating mother liquor and promoter concentration thereof;

The real time data of on-line measurement batch mixes jar outlet stream plume amount and promoter concentration thereof;

The flow of on-line measurement circulating mother liquor and the real time data of promoter concentration thereof;

Consumption line computation promoter.

2, the online soft sensor method of commercial plant PX oxidation reaction process promoter consumption according to claim 1, it is characterized in that, the consumption of described promoter is batch mixes jar outlet stream plume amount and promoter concentration thereof, and the function of the flow of circulating mother liquor and promoter concentration thereof.

3, the online soft sensor method of commercial plant PX oxidation reaction process promoter consumption according to claim 2, it is characterized in that, described promoter consumption amount and batch mixes jar outlet stream plume amount and promoter concentration thereof, and the correlation model of the flow of circulating mother liquor and promoter concentration thereof is: $y^{\mathrm{HBr}}=\frac{\frac{m_{\mathrm{ACC}}\×x_{\mathrm{ACC}}}{79.93}\×80.93}{m_{\mathrm{CTA}}}=1.013\×\frac{{\mathrm{cm}}_{\mathrm{PX}}}{x_{\mathrm{BD}-105}^{\mathrm{PX}}}\×(x_{\mathrm{BD}-105}-\frac{m_{\mathrm{ML}}}{m_{\mathrm{BD}-105}}\×x_{\mathrm{ML}}),$ Wherein, x _BD-105 ^PX, cm _PXBe

Constant; Cm _PXKg/ ton .TA is that TA product per ton consumes the PX amount; m _CTATon/Hr per hour is the output of TA product; y ^HBrKg/ ton .TA is the loss amount of TA product bromine promoter per ton; x _BD-105 ^PXFor the batch mixes jar goes out PX mass percent in the incoming flow thigh; m _iThe mass rate of (or going out) batch mixes jar i stream thigh is advanced in expression, and unit is Kg/Hr; x _iIt is the mass percent of bromine in the i stream thigh; I is a stream bid will, and i=CTA represents that fresh catalyst, ACC represent that fresh promoter, ML represent that circulating mother liquor, PX represent that fresh PX, BD-105 represent batch mixes jar outlet stream thigh.

4, a kind of online soft sensor method of commercial plant PX oxidation reaction process promoter consumption is characterized in that, comprises the steps:

Set up the flow of circulating mother liquor and the correlation model of batch mixes jar outlet stream plume amount;

Set up the correlation model of promoter concentration in circulating mother liquor promoter concentration and the batch mixes jar outlet stream thigh;

Set up promoter consumption amount and batch mixes jar outlet stream plume amount and promoter concentration thereof, and the correlation model of the flow of circulating mother liquor and promoter concentration thereof;

Export correlation model, promoter consumption amount and batch mixes jar outlet stream plume amount and the promoter concentration thereof that flows promoter concentration in the thigh according to the flow of circulating mother liquor and correlation model, circulating mother liquor promoter concentration and the batch mixes jar of batch mixes jar outlet stream plume amount, and the correlation model of the flow of circulating mother liquor and promoter concentration thereof, thereby set up promoter consumption amount and batch mixes jar outlet stream plume amount and promoter concentration thereof, and the correlation model of Recycling Mother Solution rate;

On-line measurement batch mixes jar outlet stream plume amount and promoter concentration thereof, and Recycling Mother Solution rate;

Consumption line computation promoter.

5, the online soft sensor method of commercial plant PX oxidation reaction process promoter consumption according to claim 4 is characterized in that, the correlation model of the flow of described circulating mother liquor and batch mixes jar outlet stream plume amount is:

$m_{\mathrm{ML}}^{\mathrm{ALL}}=a^m\×m_{\mathrm{BD}-105}\×(1-x_{\mathrm{BD}-105}^{\mathrm{PX}})+b^m;$

A wherein ^m, b ^mRegression coefficient for model; m _ML ^ALLBe the total flow of mother liquor, unit K g/Hr; x _BD-105 ^PXIt is constant; m _BD-105Be batch mixes jar rate of discharge, unit K g/Hr.

6, the online soft sensor method of commercial plant PX oxidation reaction process promoter consumption according to claim 4 is characterized in that, the correlation model of promoter concentration is in described circulating mother liquor promoter concentration and the batch mixes jar outlet stream thigh:

x _ML＝a×x _BD-105+b；

A wherein, b is the regression coefficient of model; x _MLIt is the mass percent of promoter in the circulating mother liquor; x _BD-105It is the mass percent of promoter in the batch mixes jar outlet stream thigh.

7, the online soft sensor method of commercial plant PX oxidation reaction process promoter consumption according to claim 4, it is characterized in that, described promoter consumption amount and batch mixes jar export stream plume amount and promoter concentration thereof, and the correlation model of Recycling Mother Solution rate is the flow m with material-compound tank outlet stream thigh _BD-105, promoter ion concentration x _BD-105, and Recycling Mother Solution rate P _MLBe independent variable, bromine promoter consumption amount is the model of dependent variable.

8, the online soft sensor method of commercial plant PX oxidation reaction process promoter consumption according to claim 4, it is characterized in that, described promoter consumption amount and batch mixes jar outlet stream plume amount and promoter concentration thereof, and the correlation model of Recycling Mother Solution rate is:

$y^{\mathrm{HBr}}=1.013\×\frac{{\mathrm{cm}}_{\mathrm{PX}}}{x_{\mathrm{BD}-105}^{\mathrm{PX}}}\×(x_{\mathrm{BD}-105}-\frac{a^m\×m_{\mathrm{BD}-105}\×(1-x_{\mathrm{BD}-105}^{\mathrm{PX}})+b^m}{m_{\mathrm{BD}-105}}\×P_{\mathrm{ML}}\×(a\×x_{\mathrm{BD}-105}+b))$

Wherein, y ^HBrBe the promoter consumption amount; x _BD-105 ^PX, cm _PXIt is constant; m _BD-105Be batch mixes jar outlet stream plume amount; x _BD-105It is promoter concentration in the batch mixes jar outlet stream thigh; P _MLBe the Recycling Mother Solution rate; a ^m, b ^m, a, b be the regression coefficient of model.

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