Control-oriented modeling of servo-pump driven injection molding machines in the filling and packing phase

ABSTRACT Servo-valves or variable displacement pumps are typically used to control conventional hydraulic injection molding machines (IMMs). Recent developments in electrical drive technology allow to utilize servo-motor driven pumps instead, which is beneficial due to their higher energy efficiency. Their dynamic behavior, however, is significantly different compared to the conventional setup. Thus, currently used mathematical models and control concepts cannot be directly applied. This paper presents a computationally efficient and scalable mathematical model of the injection process for these servo-pump driven IMMs. A first-principles model of the injection machine is combined with a phenomenological model describing the injection process, i.e. the compression of the melt and the polymer flow into the mold. The proposed model is tailored to real-time applications and serves as an ideal basis for the design of model-based control strategies. The feasibility of the proposed model is demonstrated by a number of different experiments. They confirm a high model accuracy over the whole operating range for different mold geometries. Graphical Abstract

[1]  R. S. Spencer,et al.  Some flow phenomena in the injection molding of polystyrene , 1951 .

[2]  Furong Gao,et al.  Adaptive control of the filling velocity of thermoplastics injection molding , 2000 .

[3]  Jong‐Hwei Wei,et al.  Adaptive model following control of the mold filling process in an injection molding machine , 1991 .

[4]  F. W. Paul,et al.  A Mathematical Model for the Evaluation of Injection Molding Machine Control , 1982 .

[5]  Walter Michaeli,et al.  Online control of the injection molding process based on process variables , 2009 .

[6]  D. Kazmer,et al.  The process capability of multi‐cavity pressure control for the injection molding process , 1997 .

[7]  R. Dubay,et al.  An investigation on the application of predictive control for controlling screw position and velocity on an injection molding machine , 2007 .

[8]  Zichen Chen,et al.  Grey fuzzy PI control for packing pressure during injection molding process , 2011 .

[9]  Arie Ben-David,et al.  Control of properties in injection molding by neural networks , 2001 .

[10]  Self‐tuning cavity pressure control of injection molding filling , 1994 .

[11]  Zhengjin Feng,et al.  Nonlinear modeling of electrohydraulic servo injection molding machine including asymmetric cylinder , 2003, Proceedings of the 2003 American Control Conference, 2003..

[12]  Dirk Abel,et al.  Self-optimizing injection molding based on iterative learning cavity pressure control , 2017, Prod. Eng..

[13]  Mustafa Kamal,et al.  A study in injection molding dynamics , 1984 .

[14]  W. I. Patterson,et al.  Physically-Based Model of Thermoplastics Injection Molding for Control Applications , 1996 .

[15]  J. H. Vogel,et al.  Dynamic Modeling and Control of Packing Pressure in Injection Molding , 1994 .

[16]  Kurt Schlacher,et al.  On Modelling and Control of Compressible Non-Newtonian Injection Processes , 2011, EUROCAST.

[17]  İlhami Yiğit,et al.  Cavity pressure control of powder injection moulding machines , 2004 .

[18]  D. Huilier Modeling of Injection Mold Post-Filling: A Review and Some Critical Problems to Solve , 1990 .

[19]  Andrew G. Alleyne,et al.  Modeling and Control of an Electro-hydraulic Injection Molding Machine With Smoothed Fill-to-Pack Transition , 2003 .

[20]  Rong Zheng,et al.  Flow Analysis of Injection Molds , 1995 .

[21]  Tie-Jun Wu,et al.  From Two-Dimensional Linear Quadratic Optimal Control to Iterative Learning Control. Paper 1. Two-Dimensional Linear Quadratic Optimal Controls and System Analysis , 2006 .

[22]  M. R. Kamal,et al.  Physically-Based Adaptive Control of Cavity Pressure in Injection Molding: Filling Phase , 1997 .

[23]  Kok Kiong Tan,et al.  Adaptive control of ram velocity for the injection moulding machine , 1999, IEEE Trans. Control. Syst. Technol..

[24]  Cheng Shao,et al.  Robust iterative learning control with applications to injection molding process , 2001 .

[25]  Hyungsuck Cho,et al.  Optimal open‐loop control of the mould filling process for injection moulding machines , 1983 .

[26]  R. Dubay Predictive control of cavity pressure during injection filling , 2001 .

[27]  P. Deshpande,et al.  Advanced process control for injection molding , 1991 .

[28]  Matthias Reiter,et al.  Model Predictive Control of Cavity Pressure in an Injection Moulding Process , 2014 .

[29]  C. M. Dong,et al.  A Multivariable Self-Tuning Controller for Injection Molding Machines , 1989, 1989 American Control Conference.

[30]  W. I. Patterson,et al.  Physically-based Adaptive Control of Cavity Pressure in Injection Moulding Process : Packing Phase , 1999 .

[31]  Kurt Schlacher,et al.  Identification and Control of an Injection Moulding Machine , 2014 .

[32]  C. Chiu,et al.  Dynamic modeling of the mold filling process in an injection molding machine , 1991 .

[33]  Andreas Kugi,et al.  Mathematical modelling of a diesel common-rail system , 2015 .

[34]  A. Varela Self-Tuning Pressure Control in an Injection Moulding Cavity During Filling , 2000 .

[35]  I. Pandelidis,et al.  Optimal anticipatory control of ram velocity in injection molding , 1988 .

[36]  F. Gao,et al.  Overall Control System for Injection Molding Process , 2012 .

[37]  David Kazmer,et al.  Hybrid neural models for pressure control in injection molding , 1999 .

[38]  J. Cheng,et al.  Model‐based melt flow virtual sensors for filling process of injection molding , 2008 .

[39]  D. Cooper,et al.  A dynamic injection-molding process model for simulating mold cavity pressure patterns , 1997 .

[40]  D. Kazmer Injection Mold Design Engineering , 2007 .

[41]  Jun Wang,et al.  Model predictive control of servo motor driven constant pump hydraulic system in injection molding process based on neurodynamic optimization , 2014, Journal of Zhejiang University SCIENCE C.

[42]  Bernhard Wagner,et al.  Iterativ Lernende Regelung einer Kunststoff-Spritzgießmaschine , 2014, Autom..

[43]  Andrea Vacca,et al.  Modelling of fluid properties in hydraulic positive displacement machines , 2006, Simul. Model. Pract. Theory.

[44]  Donald V. Rosato,et al.  Injection Molding Handbook , 1985 .

[45]  Mingxi Wan,et al.  Fundamentals of Cavitation , 2015 .

[46]  W. I. Patterson,et al.  Dynamics and control of pressure in the injection molding of thermoplastics , 1987 .

[47]  C. Chiu,et al.  A nonlinear dynamic model of a servo‐pump controlled injection molding machine , 1994 .

[48]  Furong Gao,et al.  Control of injection velocity using a fuzzy logic rule-based controller for thermoplastics injection molding , 1999 .

[49]  Andrew G. Alleyne,et al.  Nonlinear modeling of an electrohydraulic injection molding machine , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).