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Abstract

A closed-loop strategy is developed for controlling batch cooling multicomponent crystallization. The strategy represents the sequential application of two established feedback control techniques: direct nucleation control followed by supersaturation control. Experimental results show that such a control scheme produces larger crystals (compared to linear cooling crystallization with the same batch time). In using this scheme to control the crystallization of a double salt from a solution containing sodium nitrate and sodium sulfate, we demonstrate the application of supersaturation control to a multicomponent salt crystallization-which requires knowledge of the solubility as a function of temperature, the ability to monitor concentrations in a multicomponent solution, and an appropriate expression for the driving force for crystallization of a salt. In this paper, a methodology for rapidly identifying the solubility of a solute in a multicomponent solution is presented and a new expression for supersaturation-termed the molar supersaturation-is advanced as a measure of the driving force for crystallization of salts.

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... This model system came from the original motivating application for our research on crystallization control [Griffin et al., 2015d]. In particular, the relative concentrations of sodium nitrate and sodium sulfate were selected to be representative of nuclear waste compositions at the Hanford site [Nassif et al., 2008]. ...
... The definition of supersaturation is more complicated for multicomponent electrolytic solutions, like that from which darapskite is crystallized. Nevertheless, the molar supersaturation [Griffin et al., 2015d]-a measure analogous to relative supersaturation-can be tracked by monitoring concentration and temperature, provided the more complicated solubility-temperature relationship is known. The molar supersaturation for darapskite is developed in Appendix §A.2. ...
... Solubility trace. For both systems, the solubility-temperature relationship is identified using the solubility trace methodology [Barrett et al., 2010, Kee et al., 2011, which is especially useful for quickly obtaining the solubility-temperature relationship for a multicomponent solution [Griffin et al., 2015d]. The procedure is as follows: the solution is cooled to drive crystallization, allowed to equilibrate at a low temperature, and then slowly heated. ...
... Osim metoda vođenja po konstantnoj prezasićenosti otopine i direktnog vođenja nukleacije razvijene su i metode koje su njihova kombinacija. 18 Iako su te metode vođenja univerzalne i relativno jednostavne za primjenu, nije prikladno uspoređivati ih s metodama temeljenim na modelu procesa. 19 Razvoj modela kristalizacije zahtijeva dosta vremena, ali kao rezultat daje model kojim je moguće simulirati eksperimente umjesto njihova provođenja u laboratoriju. ...
... Promjena iznosa momenata kristala cjepiva s vremenom dana je jedn. (16) - (18). ...
... 33 Cheng and Li calculated the solubility product constant of Mg 5 (CO 3 ) 4 (OH) 2 ·4 H 2 O from solubilities measured at multiple temperatures (with 5°C differences) to analyze the supersaturation profile during the crystallization and its effect on the product morphology. 34 Griffin et al. used this supersaturation formula for supersaturation control in the crystallization of Na 3 SO 4 NO 3 ·H 2 O. 35 They also applied it to create a data-driven empirical model as part of another control strategy. 36 Recently, Albis et al. published a population balance model incorporating K sp -based supersaturation for the crystallization of K 2 SO 4 , 37 but no similar application exists to the best knowledge of the authors for small organic compounds such as diastereomeric salts. ...
... The concept of solubility tracking was applied to indissociable compounds at first, 39,40 but it is more advantageous for dissociable salts. 35 Pregabalin, also known as 3-isobutyl-γ-aminobutyric acid, is a racemate-forming chiral compound with anticonvulsant and anxiolytic effects. 41,42 This top-selling drug was developed and commercialized by Pfizer, but since 2019, it has been available worldwide as a generic medication. ...
... From this initial point, we observed the crystallization of a hydrated double salt, Na 3 SO 4 NO 3 Á H 2 O, on cooling. This choice of model system comes from the motivating application for our research on crystallization control (Griffin et al., 2015). In particular, the relative concentrations of sodium nitrate and sodium sulfate were selected to be representative of nuclear waste compositions at the Hanford site (Nassif et al., 2008). ...
... In this work, the solubility of Na 3 SO 4 NO 3 Á H 2 O in the multicomponent solution was obtained prior to each run with the solubility trace methodology. Furthermore, because Na 3 SO 4 NO 3 Á H 2 O is a multicomponent salt, the molar supersaturation is used (Griffin et al., 2015). ...
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We present measurements from batch crystallization as a trajectory in the phase space mapped out by the crystal mass and the total chord count. This new perspective yields a framework for monitoring and controlling crystallization that has two beneficial attributes: first, crystallization is seen as movement—we find that this fosters an intuitive understanding of crystallization kinetics; and, second, the problem of controlling the average crystal size is cast as a trajectory-endpoint control problem—we find that this promotes the development of spatially-oriented control schemes. The utility of the proposed framework is demonstrated by application. In particular, we apply the framework to: 1) elucidate the effects of simple temperature manipulations on the crystallization kinetics; 2) interpret the actions applied by supersaturation control (SSC) and direct nucleation control (DNC) to produce large crystals; and 3) develop a control scheme—termed spatially-guided action trajectory endpoint control (sGATEC)—that can be applied to produce crystals of pre-selected average size.
... It can be concluded that recirculation to the first stage results in more complex dynamic response. This raises process operation and control related issues: more complex dynamics require more advanced monitoring and control systems (Griffin et al., 2015;Nagy and Braatz, 2012). ...
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The batch-production dominated pharmaceutical industries started to evaluate various continuous production platforms recently. With this wave, transitions from batch to continuous crystallization and continuous crystallization design became research topics of interest in the pharma industry. Mixed suspension mixed product removal (MSMPR) crystallizers are intensively investigated due to their relatively simple operation procedure and available experience from other industries. This paper aims to provide a comprehensive population balance model based evaluation of MSMPR cascades with slurry recirculation. Beyond secondary nucleation and crystal growth, a multi-level agglomeration mechanism governing the agglomeration of particles at different turbulence length scales is employed. The dynamic model-equations are transformed and solved using the quadrature method of moments, which paves the way for numerical experimentation and optimal design. An important aim of this paper is to analyze the effects of slurry recycling on system start-up, attainable particle property domains as well as the robustness of the system with respect to kinetic parameter uncertainties and operating condition disturbances. It is shown that the mean product size is generally inversely proportional with the agglomeration degree in a broad operating condition domain for 2,3 and 4-stage MSMPR cascades. The boundaries of the attainable property space are determined numerically by solving appropriate optimization problems. The results suggest that recirculation shrinks the attainable particle size region. The quantification of effects of kinetic parameter uncertainties is approached probabilistically, indicating that the recirculation strategy has weak effects on the robustness in steady-state and transient, too. Finally, simple start-up strategies are compared with the optimal start-up, which revealed that optimization may bring over two-fold start-up time improvement in recirculation enabled systems. However, recirculation results in more complex dynamics, requiring more sophisticated control strategies.
... Supersaturation control (SSC) is another model free control strategy, which is based on the principle that the crystallization process should be conducted in the metastable zone to suppress nucleation (Nagy and Braatz, 2012). These two well established control strategies have found numerous applications, both as solo control strategies (Barrett et al., 2010;Kacker et al., 2016) as well as combined control approach (Griffin et al., 2015) Model based control techniques use real time simulation based on a process model to predict the effects of inputs and disturbances on the systemic output. In essence this translates to real time optimization of the control signal, which in the case of cooling crystallization translates into the prediction of the future temperature profile (Moldoványi et al., 2005;Qin and Badgwell, 2000). ...
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Crystallization is one of the most important unit operations used for the separation and purification of crystalline solid products. Appropriate design and control of the crystallization process is paramount to produce crystalline products with tailor-made-properties. This paper provides an overview of selected recent developments in the modelling, monitoring and control of crystallization processes. We consider the topics discussed in this review to be enabling technologies for the development of the next generation of crystallization processes with significantly improved predictability, robustness and controllability.
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The Hanford site has 149 underground single-shell tanks (SST) storing mostly soluble, multi-salt mixed wastes resulting from Cold War era weapons material production. These wastes must be retrieved and the salts immobilized before the tanks can be closed to comply with an overall site-closure consent order entered into by the US Department of Energy, the Environmental Protection Agency, and the State of Washington. Water will be used to retrieve the wastes and the resulting solution will be pumped to a proposed pretreatment process where a high-curie (primarily {sup 137}Cs) waste fraction will be separated from the other waste constituents. The separated waste streams will then be vitrified to allow for safe storage as an immobilized high-level waste, or low-level waste, borosilicate glass. Fractional crystallization, a common unit operation for production of industrial chemicals and pharmaceuticals, was proposed as the method to separate the salt wastes; it works by evaporating excess water until the solubilities of various species in the solution are exceeded (the solubility of a particular species depends on its concentration, temperature of the solution, and the presence of other ionic species in the solution). By establishing the proper conditions, selected pure salts can be crystallized and separated from the radioactive liquid phase. The aforementioned parameters, along with evaporation rate, proper agitation, and residence time, determine nucleation and growth kinetics and the resulting habit and size distribution of the product crystals. These crystals properties are important considerations for designing the crystallizer and solid/liquid separation equipment. A structured program was developed to (a) demonstrate that fractional crystallization could be used to pre-treat Hanford tank wastes and (b) provide data to develop a pilot plant design.
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Automation, in situ monitoring, and process control tools are implemented to understand and control the crystallization of an active pharmaceutical ingredient in development. As a first step in the study, the metastable zone is generated automatically by linking a laser backscattering probe to an automated laboratory reactor. Using the metastable zone as a guide, crystallization experiments with varying cooling rates and seeding protocols are conducted and monitored. The evolution of solution concentration and supersaturation is determined by transmitting data from an in situ total reflectance Fourier transform infrared (ATR-FTIR) spectroscope to the laboratory reactor. Supersaturation profiles coupled with data from the laser backscattering probe demonstrate the prevalence of primary and secondary crystal nucleation in the process. A cascaded proportional-integral controller is tuned and implemented to promote crystal growth over nucleation by maintaining supersaturation at low constant values. Nonlinear temperature profiles that result in crystals of larger size are thereby generated.
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An in-line technique involving focused beam reflectance measurement (FBRM) for control of crystal product quality in unseeded systems is proposed. The method consists of nucleation detection followed by a holding time to internally generate seeds through primary nucleation and then controlled conditioning of these seeds using FBRM measurement of the particle size distribution (PSD). The technique has been successfully implemented for the cooling crystallization of glycine and paracetamol in water. Results showed that the crystal product consistency using our technique was comparable to that of externally seeded crystallizations.
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In this paper, we report a process control strategy for the production of metastable α-form glycine crystals of a desired mean mass size by manipulating the alternating temperature profile and the final termination temperature. The seed crystals of the α-form glycine introduced were grown successfully to the size of the product with no fine crystals. Generation of the γ-glycine crystals (stable polymorph) was completely avoided. This crystallization method is flexible and easy to operate, because the alternating temperature profile can be determined on-site according to the transient supersaturation and particle count number data obtained from an in-situ ATR-FTIR spectrometer and an in-situ FBRM particle counter, respectively. The termination time or batch time was also determined on-site to a point that the residual supersaturation became zero. This on-site strategy-determination technique is expected to be applied widely for a variety of polymorphic systems other than the glycine−water system as a practical method for the selective crystallization of metastable polymorphs.
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Recent advances in in situ measurement technology and automation of batch crystallizers have enabled the development of batch crystallization recipes in which the desired supersaturation profile is followed by feedback control. This paper describes a new approach for following supersaturation setpoints for antisolvent crystallizations that is easy to implement for the tried crystallization. Simulations and application to a proprietary drug compound demonstrate how this combination of automation and in process measurements enables the rapid development of batch crystallization processes in the pharmaceutical industry.
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A systematic approach is developed for the in situ control of the crystal size distribution, and is applied to the aqueous crystallization of paracetamol (acetaminophen) as a model pharmaceutical system. This involves the determination of the solubility curve and the metastable limit, and the operation of concentration-controlled batch crystallization. The solution concentration and the solubility curve of paracetamol in water are determined using attenuated total reflection (ATR)-Fourier transform infrared (FTIR) spectroscopy coupled with chemometrics. The metastable zone width of paracetamol is determined using laser backscattering and ATR-FTIR spectroscopy. Seeded batch crystallizations of paracetamol following a desired supersaturation profile near the metastable limit are carried out using in situ solution concentration measurements obtained from ATR-FTIR spectroscopy. The in situ chord length distributions of crystals obtained from laser backscattering are related to characteristics of the crystal size distribution. Product crystals where the supersaturation temporarily exceeded the metastable limit during operation contained agglomerates and exhibited large size variation. Larger product crystals of more uniform size and shape are obtained from operation where supersaturation was successfully controlled to stay within the metastable limit.
Article
The presence of sulfur in radioactive waste to be incorporated in borosilicate glasses entails difficulties mainly due to the relatively low solubility of sulfates in the vitreous phase. In this work a study is presented on the effects of the ratio R = [Na2O]/[B2O3], the type of sulfate added and the addition of V2O5 on the incorporation of sulfates in borosilicate glasses. Glass samples were prepared at the laboratory scale (up to 50–100 g) by melting oxide and sulfate powders under air in Pt/Au crucibles. XRF and ICP/AES chemical analysis, SEM/EDS, microprobe WDS and Raman spectroscopy were employed to characterize the fabricated samples. The main experimental results confirm that the incorporation of sulfates in borosilicate glasses is favored by the network depolymerization, which evolves with the ratio R. The addition of V2O5 seems to accelerate the kinetics of sulfur incorporation in the glass and, probably, increase the sulfate solubility by modifying the borate network and fostering the formation of voids of shape and size compatible with the sulfur coordination polyhedron in the glassy network. The kinetics of X2SO4 incorporation in the glass seems to be slower when X = Cs.
Article
A key bottleneck in the production of pharmaceuticals and many other products is the formation of crystals from solution. The control of the crystal size distribution can be critically important for efficient downstream operations such as filtration and drying, and product effectiveness (e.g., bioavailability, tablet stability). This paper provides an overview of recent developments in the control of crystallization processes, including activities in sensor technologies, model identification, experimental design, process simulation, robustness analysis, and optimal control.
Article
Crystallization is the main separation and purification process for the manufacturing of drug substances. Not only does crystallization affect the efficiency of downstream operations such as filtering, drying, and formulating, the efficacy of the drug can be dependent on the final crystal form. Advances in simulation and control algorithms and process sensor technologies have enabled the development of systematic first-principles and direct design approaches for the batch control of crystallization processes. These approaches address different challenges associated with pharmaceutical crystallization control. This paper provides an overview of recent technological advances in the in situ control of pharmaceutical crystallization processes. Implementation of the first-principles and direct design approaches are compared, and their relative merits are explained. Areas of future opportunities for application of advanced control strategies in pharmaceutical crystallization are presented.
Article
This article is Restricted Access. It was published in the journal, Crystal Growth and Design [© American Chemical Society] and is available from: http://pubs.acs.org/doi/abs/10.1021/cg800131r The paper presents a thorough simulation and experimental evaluation of the concentration control approach for batch and semibatch crystallization. The sensitivity of concentration feedback control is assessed in the case of various disturbances that result in excessive nucleation events. The enhanced robustness of the concentration control is demonstrated against the widely used direct operation approach, which directly implements the temperature or anti-solvent addition rate versus time. Two adaptive supersaturation control approaches are proposed that employ measurement of the number of particle counts per unit time provided by in-situ laser backscattering, to detect the onset of nucleation and adapt the operating curve accordingly, further enhancing the robustness of the approach. Simulation and experimental results indicate that adaptive concentration control is robust to variations in the nucleation, growth, or dissolution rates due to scale-up or other changes in the process conditions. Restricted access
Article
This article is restricted access. It was published in the journal, Crystal Design and Growth [© American Chemical Society]. The definitive version is available at: http://pubs.acs.org/doi/abs/10.1021/cg800595v The control of crystal size distribution (CSD) in pharmaceutical crystallization is of primary importance, as downstream processes such as filtration or drying are greatly affected by the properties of the CSD. It is recognized that the variability in the final CSD is mainly caused by the significant uncertainties in the nucleation rates, and therefore, a good control of nucleation events is necessary to achieve the desired CSD. In this paper, a new direct nucleation control (DNC) approach is introduced that directly controls the apparent onset of nucleation defined as the formation of new particles with detectable size using in situ instruments. The approach uses information on nucleation and dissolution, provided by focused beam reflectance measurement (FBRM), in a feedback control strategy that adapts the process variables, so that the desired quality of product is achieved, for example large crystals with a narrow CSD. In addition, DNC provides in situ fines removal through the operating protocol, rather than having additional equipment and external recycle loops. DNC does not require concentration measurement and has the advantage of being a model-free approach, requiring no information on nucleation or growth kinetics in order to design an operating curve. The DNC approach automatically and adaptively detects the boundary of the operating zone; hence it is more robust to the presence of impurities or residual solvent than the supersaturation control approach. The approach has been applied for the crystallization of glycine and experimental results demonstrate the benefits of DNC of producing larger crystals with narrower CSD compared to classical operations. Restricted access
Article
Acceleration of the schedule for decontamination of the Hanford site using bulk vitrification requires implementation of a pretreatment operation. Medium-curie waste must be separated into two fractions: one is to go to a waste treatment and immobilization plant and a second, which is low-activity waste, is to be processed by bulk vitrification. The work described here reports research on using fractional crystallization for that pretreatment. Sodium salts are crystallized by evaporation of water from solutions simulating those removed from single-shell tanks, while leaving cesium in solution. The crystalline products are then recovered and qualified as low-activity waste, which is suitable upon redissolution for processing by bulk vitrification. The experimental program used semibatch operation in which a feed solution was continuously added to maintain a constant level in the crystallizer while evaporating water. The slurry recovered at the end of a run was filtered to recover product crystals, which were then analyzed to determine their composition. The results demonstrated that targets on cesium separation from the solids, fractional recovery of sodium salts, and sulfate content of the recovered salts can be achieved by the process tested.
Article
The objective of every industrial crystallization process is to create crystals that meet specifications on size, shape, composition, and internal structure. This objective is achieved using a variety of methods and equipment configurations depending on the properties of the chemical system, the end-product specifications, and the production scale. This paper explain how crystallization is controlled in industrial processes and what challenges must be overcome to achieve better control
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