메뉴 건너뛰기




Volumn 65, Issue 16, 2010, Pages 4884-4893

Effective parameter estimation within a multi-dimensional population balance model framework

Author keywords

Automatic differentiation; Granulation; Kernels; Multi dimensional population balance model; Optimization; Parameter estimation

Indexed keywords

AUTOMATIC DIFFERENTIATION; AUTOMATIC DIFFERENTIATIONS; BEST FIT; COMPUTATIONAL BURDEN; DERIVATIVE INFORMATION; DERIVATIVE-FREE METHODS; EFFECTIVE PARAMETERS; FINITE DIFFERENCE; GAUSS-NEWTON; GRADIENT-BASED METHOD; JACOBIANS; LEAST SQUARE; LEVENBERG-MARQUARDT; MODEL PARAMETERS; MULTIDIMENSIONAL POPULATION BALANCE; NELDER-MEAD SIMPLEX METHODS; NON-SMOOTHNESS; NUMERICAL ERRORS; NUMERICAL INSTABILITY; OBJECTIVE FUNCTIONS; OPTIMAL PARAMETER ESTIMATION; OPTIMAL SOLUTIONS; OPTIMIZATION PROBLEMS; OPTIMIZATION STRATEGY; OPTIMIZATION TECHNIQUES; PARAMETER IDENTIFIABILITY; PROBLEM FORMULATION; QUASI-NEWTON; SIMULATED MODEL; STEP SIZE;

EID: 77954383034     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2010.05.039     Document Type: Article
Times cited : (74)

References (44)
  • 1
    • 0033983786 scopus 로고    scopus 로고
    • A new approach to modeling granulation processes for simulation and control purposes
    • Adetayo A.A., Ennis B.J. A new approach to modeling granulation processes for simulation and control purposes. Powder Technology 2000, 108:202-209.
    • (2000) Powder Technology , vol.108 , pp. 202-209
    • Adetayo, A.A.1    Ennis, B.J.2
  • 2
    • 0030262958 scopus 로고    scopus 로고
    • On the modelling of granulation processes: a short note
    • Annapragada A., Neilly J. On the modelling of granulation processes: a short note. Powder Technology 1996, 89:83-84.
    • (1996) Powder Technology , vol.89 , pp. 83-84
    • Annapragada, A.1    Neilly, J.2
  • 4
    • 70449651666 scopus 로고    scopus 로고
    • Parameter estimation in a multidimensional granulation model
    • Braumann A., Kraft M., Mort P.R. Parameter estimation in a multidimensional granulation model. Powder Technology 2010, 197:196-210.
    • (2010) Powder Technology , vol.197 , pp. 196-210
    • Braumann, A.1    Kraft, M.2    Mort, P.R.3
  • 5
    • 0001233894 scopus 로고    scopus 로고
    • Control of nonlinear distributed process systems: recent development and challenges
    • Christofides P.D. Control of nonlinear distributed process systems: recent development and challenges. A.I.Ch.E. Journal 2001, 47:514-518.
    • (2001) A.I.Ch.E. Journal , vol.47 , pp. 514-518
    • Christofides, P.D.1
  • 6
    • 32844455725 scopus 로고    scopus 로고
    • A volume based multi-dimensional population balance approach for modelling high shear granulation
    • Darelius A., Brage H., Rasmuson A., Bjorn I.N., Folestad S. A volume based multi-dimensional population balance approach for modelling high shear granulation. Chemical Engineering Science 2006, 61:2482-2493.
    • (2006) Chemical Engineering Science , vol.61 , pp. 2482-2493
    • Darelius, A.1    Brage, H.2    Rasmuson, A.3    Bjorn, I.N.4    Folestad, S.5
  • 7
    • 27644450013 scopus 로고    scopus 로고
    • High shear wet granulation modelling-a mechanistic approach using population balances
    • Darelius A., Rasmuson A., Bjorn I.N., Folestad S. High shear wet granulation modelling-a mechanistic approach using population balances. Powder Technology 2005, 160:209-218.
    • (2005) Powder Technology , vol.160 , pp. 209-218
    • Darelius, A.1    Rasmuson, A.2    Bjorn, I.N.3    Folestad, S.4
  • 8
    • 0033450689 scopus 로고    scopus 로고
    • Automatic differentiation of numerical integration algorithms
    • Eberhard P., Bischof C.H. Automatic differentiation of numerical integration algorithms. Mathematics of Computation 1999, 68:717-731.
    • (1999) Mathematics of Computation , vol.68 , pp. 717-731
    • Eberhard, P.1    Bischof, C.H.2
  • 9
    • 0031257067 scopus 로고    scopus 로고
    • Efficient sensitivity analysis of large scale differential-algebraic systems
    • Feehery W.F., Tolsma J.E., Barton P.I. Efficient sensitivity analysis of large scale differential-algebraic systems. Applied Numerical Mathematics 1997, 25:41-54.
    • (1997) Applied Numerical Mathematics , vol.25 , pp. 41-54
    • Feehery, W.F.1    Tolsma, J.E.2    Barton, P.I.3
  • 10
    • 17444372724 scopus 로고    scopus 로고
    • SNOPT: an SQP algorithm for large-scale constrained optimization
    • Gill P.E., Murray W., Saunders M.A. SNOPT: an SQP algorithm for large-scale constrained optimization. SIAM Review 2005, 47:99-131.
    • (2005) SIAM Review , vol.47 , pp. 99-131
    • Gill, P.E.1    Murray, W.2    Saunders, M.A.3
  • 13
    • 0001574339 scopus 로고    scopus 로고
    • The population balance as a tool for understanding particle rate processes
    • Hounslow M.J. The population balance as a tool for understanding particle rate processes. KONA 1998, 16:179-193.
    • (1998) KONA , vol.16 , pp. 179-193
    • Hounslow, M.J.1
  • 14
    • 0041825843 scopus 로고    scopus 로고
    • Computationally efficient solution of population balance models incorporating nucleation, growth and coagulation: application to emulsion polymerization
    • Immanuel C.D., Doyle F.J. Computationally efficient solution of population balance models incorporating nucleation, growth and coagulation: application to emulsion polymerization. Chemical Engineering Science 2003, 52:3681-3698.
    • (2003) Chemical Engineering Science , vol.52 , pp. 3681-3698
    • Immanuel, C.D.1    Doyle, F.J.2
  • 15
    • 23944442284 scopus 로고    scopus 로고
    • Solution technique for a multi-dimensional population balance model describing granulation processes
    • Immanuel C.D., Doyle F.J. Solution technique for a multi-dimensional population balance model describing granulation processes. Powder Technology 2005, 156:213-225.
    • (2005) Powder Technology , vol.156 , pp. 213-225
    • Immanuel, C.D.1    Doyle, F.J.2
  • 16
    • 0037193169 scopus 로고    scopus 로고
    • Limitations of one-dimensional population balance models of wet granulation processes
    • Iveson S.M. Limitations of one-dimensional population balance models of wet granulation processes. Powder Technology 2002, 124:219-229.
    • (2002) Powder Technology , vol.124 , pp. 219-229
    • Iveson, S.M.1
  • 17
    • 0032115497 scopus 로고    scopus 로고
    • Growth regime map for liquid-bound granules
    • Iveson S.M., Litster J.D. Growth regime map for liquid-bound granules. A.I.Ch.E. Journal 1998, 113:1510-1518.
    • (1998) A.I.Ch.E. Journal , vol.113 , pp. 1510-1518
    • Iveson, S.M.1    Litster, J.D.2
  • 18
    • 77954384946 scopus 로고
    • Parameter estimation: local identifiability of parameters
    • Jacquez J.A., Perry T. Parameter estimation: local identifiability of parameters. American Physiological Society 1990, 42:19-30.
    • (1990) American Physiological Society , vol.42 , pp. 19-30
    • Jacquez, J.A.1    Perry, T.2
  • 19
    • 0027692913 scopus 로고
    • An investigation into the kinetics of granulation using a high shear mixer
    • Knight P.C. An investigation into the kinetics of granulation using a high shear mixer. Powder Technology 1993, 77:159-169.
    • (1993) Powder Technology , vol.77 , pp. 159-169
    • Knight, P.C.1
  • 20
    • 0032125567 scopus 로고    scopus 로고
    • An investigation into the kinetics of liquid distribution and growth in high shear mixer agglomeration
    • Knight P.C., Instone T., Pearson J.M.K., Hounslow M.J. An investigation into the kinetics of liquid distribution and growth in high shear mixer agglomeration. Powder Technology 1998, 97:246-257.
    • (1998) Powder Technology , vol.97 , pp. 246-257
    • Knight, P.C.1    Instone, T.2    Pearson, J.M.K.3    Hounslow, M.J.4
  • 21
    • 0030233352 scopus 로고    scopus 로고
    • Particle agglomeration in high shear mixers
    • Kristensen H.G. Particle agglomeration in high shear mixers. Powder Technology 1996, 88:197-202.
    • (1996) Powder Technology , vol.88 , pp. 197-202
    • Kristensen, H.G.1
  • 23
    • 0037189456 scopus 로고    scopus 로고
    • Population balance modelling of granulation with a physically based coalescence kernel
    • Liu L.X., Litster J.D. Population balance modelling of granulation with a physically based coalescence kernel. Chemical Engineering Science 2002, 57:2183-2191.
    • (2002) Chemical Engineering Science , vol.57 , pp. 2183-2191
    • Liu, L.X.1    Litster, J.D.2
  • 25
    • 0037453850 scopus 로고    scopus 로고
    • Modelling of the agglomeration in suspension process with multidimensional kernels
    • Madec L., Falk L., Plasari E. Modelling of the agglomeration in suspension process with multidimensional kernels. Powder Technology 2003, 130:147-153.
    • (2003) Powder Technology , vol.130 , pp. 147-153
    • Madec, L.1    Falk, L.2    Plasari, E.3
  • 26
    • 0035890831 scopus 로고    scopus 로고
    • Numerical solution of multi variable cell population balance models: 3. Finite difference methods
    • Mantzaris N.V., Daoutidis P., Srienc F. Numerical solution of multi variable cell population balance models: 3. Finite difference methods. Computers and Chemical Engineering 2001, 25:1463-1481.
    • (2001) Computers and Chemical Engineering , vol.25 , pp. 1463-1481
    • Mantzaris, N.V.1    Daoutidis, P.2    Srienc, F.3
  • 27
    • 0020930276 scopus 로고
    • Floc breakage in agitated suspensions: effect of agitation rate
    • Pandya J.D., Spielman L.A. Floc breakage in agitated suspensions: effect of agitation rate. Chemical Engineering Science 1983, 38:1983-1992.
    • (1983) Chemical Engineering Science , vol.38 , pp. 1983-1992
    • Pandya, J.D.1    Spielman, L.A.2
  • 29
    • 34447539813 scopus 로고    scopus 로고
    • A feasible solution technique for higher-dimensional population balance models
    • Pinto M.A., Immanuel C.D., Doyle F.J. A feasible solution technique for higher-dimensional population balance models. Computers and Chemical Engineering 2007, 31:1242-1256.
    • (2007) Computers and Chemical Engineering , vol.31 , pp. 1242-1256
    • Pinto, M.A.1    Immanuel, C.D.2    Doyle, F.J.3
  • 30
    • 38149073208 scopus 로고    scopus 로고
    • A two-level discretisation algorithm for the efficient solution of higher-dimensional population balance models
    • Pinto M.A., Immanuel C.D., Doyle F.J. A two-level discretisation algorithm for the efficient solution of higher-dimensional population balance models. Chemical Engineering Science 2008, 63:1304-1314.
    • (2008) Chemical Engineering Science , vol.63 , pp. 1304-1314
    • Pinto, M.A.1    Immanuel, C.D.2    Doyle, F.J.3
  • 32
    • 61349132075 scopus 로고    scopus 로고
    • A mechanistic model for granule breakage in population balances of granulation: theoretical kernel development and experimental validation
    • Ramachandran R., Immanuel C.D., Stepanek F., Litster J.D., Doyle F.J. A mechanistic model for granule breakage in population balances of granulation: theoretical kernel development and experimental validation. Chemical Engineering Research and Design 2009, 87:598-614.
    • (2009) Chemical Engineering Research and Design , vol.87 , pp. 598-614
    • Ramachandran, R.1    Immanuel, C.D.2    Stepanek, F.3    Litster, J.D.4    Doyle, F.J.5
  • 33
    • 56249146653 scopus 로고    scopus 로고
    • Experimental studies on distributions on granule size, binder content and porosity in batch drum granulation: inferences on process modelling requirements and process sensitivities
    • Ramachandran R., Poon J.M.H., Sanders C.F.W., Glaser T., Immanuel C.D., Doyle F.J., Litster J.D., Stepanek F., Wang F.Y., Cameron I.T. Experimental studies on distributions on granule size, binder content and porosity in batch drum granulation: inferences on process modelling requirements and process sensitivities. Powder Technology 2008, 188:89-101.
    • (2008) Powder Technology , vol.188 , pp. 89-101
    • Ramachandran, R.1    Poon, J.M.H.2    Sanders, C.F.W.3    Glaser, T.4    Immanuel, C.D.5    Doyle, F.J.6    Litster, J.D.7    Stepanek, F.8    Wang, F.Y.9    Cameron, I.T.10
  • 36
    • 0015587183 scopus 로고
    • Mechanisms of agglomerate growth in green pelletization
    • Sastry K.V.S., Fuerstenau D.W. Mechanisms of agglomerate growth in green pelletization. Powder Technology 1973, 7:97-105.
    • (1973) Powder Technology , vol.7 , pp. 97-105
    • Sastry, K.V.S.1    Fuerstenau, D.W.2
  • 38
    • 18644365012 scopus 로고    scopus 로고
    • Kinetics of fluidised bed granulation V: simultaneous modelling of aggregation and breakage
    • Tan H.S., Salman A.D., Hounslow M.J. Kinetics of fluidised bed granulation V: simultaneous modelling of aggregation and breakage. Chemical Engineering Science 2005, 60:3847-3866.
    • (2005) Chemical Engineering Science , vol.60 , pp. 3847-3866
    • Tan, H.S.1    Salman, A.D.2    Hounslow, M.J.3
  • 42
    • 34848910417 scopus 로고    scopus 로고
    • A multi-form modelling approach to the dynamics and control of drum granulation processes
    • Wang F.Y., Cameron I.T. A multi-form modelling approach to the dynamics and control of drum granulation processes. Powder Technology 2007, 179:2-11.
    • (2007) Powder Technology , vol.179 , pp. 2-11
    • Wang, F.Y.1    Cameron, I.T.2
  • 44
    • 77954386496 scopus 로고    scopus 로고
    • Proceedings of IFAC Symposium on Advanced Control of Chemical Processes, Istanbul, Turkey
    • Yunt, M., Barton, P.I., 2009. Nonsmooth optimization of systems with varying structure. In: Proceedings of IFAC Symposium on Advanced Control of Chemical Processes, Istanbul, Turkey, pp. 537-544.
    • (2009) Nonsmooth optimization of systems with varying structure , pp. 537-544
    • Yunt, M.1    Barton, P.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.