3700 XXXI International Mineral Processing Congress 2024 Proceedings/Washington, DC/Sep 29–Oct 3
to the feed change range. The greater the feed changes, the
longer the dynamic response time.
Future work will be aimed to compare the analytical
solution against a case of industrial mill dynamic data for
further validation and applications. Even, the numerical
model needs to be tested against the real case data as well.
ACKNOWLEDGMENTS
The author wishes to acknowledge Dr. Ping Yu (my former
PhD student) for the data collection and modeling work
Professor Malcolm Powell, Dr. Lian Liu and Dr. Marko
Hilden for their valuable discussions. The author wishes to
acknowledge the financial support of the Commonwealth
Scholarship from the Australian Government and
Scholarships for Dr. Ping Yu from the University of
Queensland and the partial financial support on supervi-
sion of Dr. Ping Yu from AMIRA P9P project.
REFERENCES
Asbjörnsson, G., Hulthén, E., and Evertsson, M. 2012.
Modelling and dynamic simulation of gradual perfor-
mance deterioration of a crushing circuit—Including
time dependence and wear. Minerals Engineering,
33:13–19.
Bhadani, K. Asbjörnsson, G. Schnitzer, B. Quist, J.
Hansson, C. Hulthén, E. Evertsson, M. 2021. Applied
Calibration and Validation Method of Dynamic
Process Simulation for Crushing Plants. Minerals, 11:
921.
Evertsson, C. M. 1999. Modelling of flow in cone crushers.
Minerals Engineering, 12 (12):1479–1499.
Ju, Y., and Ge, Y. 1996. Advanced mathematics (Volume
II), single variable calculus and differential equations,
Tsinghua university press, Beijing, China.
Kojovic, T., Hilden, M.M., Powell, M.S., and Bailey, C.
2012. Updated Julius Kruttschnitt semi-autogenous
grinding mill model. Proceedings of 11th AusIMM
Mill Operators’ Conference, Australia.
Lees, M.J. and Lynch, A.J. 1972. Dynamic behaviour of
a high capacity multistage grinding circuit. IMM
Transactions Section C: C227-C235.
Morrell, S. 1996. Power Draw of Wet Tumbling Mills
and its Relationship to Charge Dynamics—Part 2: an
empirical approach to modeling of mill power draw.
Trans. Instn. Min. Metall. (Sect. C: Mineral Process. Extr.
Metall.), 105:C54-C62.
Napier-Munn, T. J., Morrell, S., Morrison, R. D., and
Kojovic, T. 1996. Mineral comminution circuits: their
operation and optimization. Indooroopilly, Brisbane,
Australia: Julius Kruttschnitt Mineral Research Centre,
University of Queensland.
Salazar, J.L., Magne, L., Acuña, G., and Cubillos, F. 2009.
Dynamic modelling and simulation of semi-autoge-
nous mills. Minerals Engineering, 22:70–77.
Shi, F. and Kojovic, T. 2007. Validation of a model for impact
breakage incorporating particle size effect. International
Journal of Mineral Processing, 82(3):156–163.
Valery Jnr, W. and Morrell, S. 1995. The development of
a dynamic model for autogenous and semi-autogenous
grinding. Minerals Engineering, 8(11):1285–1297.
Valery Jnr, W. 1997. A model for dynamic and steady-state
simulation of autogenous and semi-autogenous mills.
Doctor of Philosophy Thesis, JKMRC, University of
Queensland, Australia.
Whiten, W.J. 1974. A matrix theory of comminution
machines. Chem. Eng. Sci. (29):585–599.
Xie, W. 2022. Development of a Dynamic Model-based
Platform for Tumbling Mills. MINEXCHANGE 2022
SME Annual Conference &Expo.
Yu, P., Xie, W., Liu, L., and Powell, M.S. 2014. Development
of a dynamic mill model structure for tumbling mills.
Proceedings of the IMPC 2014 Conference, Santiago,
Chile.
Yu, P., Xie, W., Liu, L. X., Weerasekara, N., Bonfils, B., and
Powell, M.S. 2016. A generic dynamic model incorpo-
rating a 4D appearance function for tumbling mills.
Proceedings of the IMPC 2016 Conference, Québec
City, Canada.
Yu, P., Xie, W., Liu, L. X., and Powell, M.S. 2017. The
development of the wide-range 4D appearance func-
tion for breakage characterisation in grinding mills.
Minerals Engineering, 110:1–11.
Yu P, Xie, W., Liu, L.X., and Powell, M.S. 2018a. Analytical
solution for the dynamic model of tumbling mills.
Powder Technology, 337:111–118.
Yu, P, Xie, W., Liu, L.X., Hilden, M.M., and Powell, M.S.
2018b. Evolution of a generic, dynamic and multi-
component tumbling mill model structure incorpo-
rating a wide-range 4D appearance function. Powder
Technology, 339:396–407.
Yu, P., Xie, W., Liu, L.X., Hilden, M.M. and Powell, M.S.
2021. A consolidated summary on the evolution of
a dynamic tumbling mill model. Powder Technology,
391: 173–183.
to the feed change range. The greater the feed changes, the
longer the dynamic response time.
Future work will be aimed to compare the analytical
solution against a case of industrial mill dynamic data for
further validation and applications. Even, the numerical
model needs to be tested against the real case data as well.
ACKNOWLEDGMENTS
The author wishes to acknowledge Dr. Ping Yu (my former
PhD student) for the data collection and modeling work
Professor Malcolm Powell, Dr. Lian Liu and Dr. Marko
Hilden for their valuable discussions. The author wishes to
acknowledge the financial support of the Commonwealth
Scholarship from the Australian Government and
Scholarships for Dr. Ping Yu from the University of
Queensland and the partial financial support on supervi-
sion of Dr. Ping Yu from AMIRA P9P project.
REFERENCES
Asbjörnsson, G., Hulthén, E., and Evertsson, M. 2012.
Modelling and dynamic simulation of gradual perfor-
mance deterioration of a crushing circuit—Including
time dependence and wear. Minerals Engineering,
33:13–19.
Bhadani, K. Asbjörnsson, G. Schnitzer, B. Quist, J.
Hansson, C. Hulthén, E. Evertsson, M. 2021. Applied
Calibration and Validation Method of Dynamic
Process Simulation for Crushing Plants. Minerals, 11:
921.
Evertsson, C. M. 1999. Modelling of flow in cone crushers.
Minerals Engineering, 12 (12):1479–1499.
Ju, Y., and Ge, Y. 1996. Advanced mathematics (Volume
II), single variable calculus and differential equations,
Tsinghua university press, Beijing, China.
Kojovic, T., Hilden, M.M., Powell, M.S., and Bailey, C.
2012. Updated Julius Kruttschnitt semi-autogenous
grinding mill model. Proceedings of 11th AusIMM
Mill Operators’ Conference, Australia.
Lees, M.J. and Lynch, A.J. 1972. Dynamic behaviour of
a high capacity multistage grinding circuit. IMM
Transactions Section C: C227-C235.
Morrell, S. 1996. Power Draw of Wet Tumbling Mills
and its Relationship to Charge Dynamics—Part 2: an
empirical approach to modeling of mill power draw.
Trans. Instn. Min. Metall. (Sect. C: Mineral Process. Extr.
Metall.), 105:C54-C62.
Napier-Munn, T. J., Morrell, S., Morrison, R. D., and
Kojovic, T. 1996. Mineral comminution circuits: their
operation and optimization. Indooroopilly, Brisbane,
Australia: Julius Kruttschnitt Mineral Research Centre,
University of Queensland.
Salazar, J.L., Magne, L., Acuña, G., and Cubillos, F. 2009.
Dynamic modelling and simulation of semi-autoge-
nous mills. Minerals Engineering, 22:70–77.
Shi, F. and Kojovic, T. 2007. Validation of a model for impact
breakage incorporating particle size effect. International
Journal of Mineral Processing, 82(3):156–163.
Valery Jnr, W. and Morrell, S. 1995. The development of
a dynamic model for autogenous and semi-autogenous
grinding. Minerals Engineering, 8(11):1285–1297.
Valery Jnr, W. 1997. A model for dynamic and steady-state
simulation of autogenous and semi-autogenous mills.
Doctor of Philosophy Thesis, JKMRC, University of
Queensland, Australia.
Whiten, W.J. 1974. A matrix theory of comminution
machines. Chem. Eng. Sci. (29):585–599.
Xie, W. 2022. Development of a Dynamic Model-based
Platform for Tumbling Mills. MINEXCHANGE 2022
SME Annual Conference &Expo.
Yu, P., Xie, W., Liu, L., and Powell, M.S. 2014. Development
of a dynamic mill model structure for tumbling mills.
Proceedings of the IMPC 2014 Conference, Santiago,
Chile.
Yu, P., Xie, W., Liu, L. X., Weerasekara, N., Bonfils, B., and
Powell, M.S. 2016. A generic dynamic model incorpo-
rating a 4D appearance function for tumbling mills.
Proceedings of the IMPC 2016 Conference, Québec
City, Canada.
Yu, P., Xie, W., Liu, L. X., and Powell, M.S. 2017. The
development of the wide-range 4D appearance func-
tion for breakage characterisation in grinding mills.
Minerals Engineering, 110:1–11.
Yu P, Xie, W., Liu, L.X., and Powell, M.S. 2018a. Analytical
solution for the dynamic model of tumbling mills.
Powder Technology, 337:111–118.
Yu, P, Xie, W., Liu, L.X., Hilden, M.M., and Powell, M.S.
2018b. Evolution of a generic, dynamic and multi-
component tumbling mill model structure incorpo-
rating a wide-range 4D appearance function. Powder
Technology, 339:396–407.
Yu, P., Xie, W., Liu, L.X., Hilden, M.M. and Powell, M.S.
2021. A consolidated summary on the evolution of
a dynamic tumbling mill model. Powder Technology,
391: 173–183.