# Numerical Simulation and Automatic Control of the pH Value in an Industrial Blunting System

### Vlad Mureşan, Adrian Groza, Mihail Abrudean, Tiberiu Coloşi

#### Abstract

A solution for the pH control of the residual water in an industrial blunting system is proposed. The technological process associated to the blunting system is decomposed in four sub-processes connected in series and in parallel, each of them being a distributed parameter one. The mathematical models of the sub-processes are expressed using partial differential equations. Both this procedure and the advanced structure of the control system generate very high control performances. For the numerical simulation of the control system, a numerical method based on the Matrix of Partial Derivatives of the State Vector, associated with Taylor series is proposed. This method permits the numerical simulation of the systems that include in their structure distributed parameter processes. The conducted simulations proved high accuracy of our original method.

#### References

- Colosi, T., Abrudean, M., Unguresan, M.-L., Muresan, V., 2013. Numerical Simulation of Distributed Parameters Processes, Springer.
- Curtain, R. F., Morris, K. A., 2009. Transfer Functions of Distributed Parameter Systems, Automatica, 45, 5, 1101-1116.
- Golnaraghi, F., Kuo, B. C., 2009. Automatic Control Systems, Wiley.
- Krstic, M., 2006. Systematization of approaches to adaptive boundary control of PDEs. International J. of Robust and Nonlinear Control, 16, 801-818.
- Li, H.-X., Qi, C., 2011. Spatio-Temporal Modeling of Nonlinear Distributed Parameter Systems: A Time/Space Separation Based Approach, Springer, 1st Edition.
- Love, J., 2007. Process Automation Handbook, Springer, 1 edition.
- Moore, R., 1978. Neutralization of waste water by pH control, Instrument Society of America.
- Muresan, V., Abrudean, M., Unguresan, M.-L., Colosi, T., 2012. Control of the Blunting Process of the Residual Water from a Foundry. Proc. of IEEE SACI 7th edition, Timisoara.
- Smyshlyaev, A., Krstic, M., 2005. Control design for PDEs with space-dependent diffusivity and timedependent reactivity, Automatica, 41, 1601-1608.
- Unguresan, M.-L., Niac, G., 2011. Pre-equilibrium Kinetics. Modeling and Simulation. Russian J. of Physical Chemistry, 85, 4, 549-556.
- Vînatoru, M., 2001. Industrial plant automatic control, Vol. 1, Universitaria Craiova.

#### Paper Citation

#### in Harvard Style

Mureşan V., Groza A., Abrudean M. and Coloşi T. (2014). **Numerical Simulation and Automatic Control of the pH Value in an Industrial Blunting System** . In *Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,* ISBN 978-989-758-039-0, pages 540-549. DOI: 10.5220/0005062505400549

#### in Bibtex Style

@conference{icinco14,

author={Vlad Mureşan and Adrian Groza and Mihail Abrudean and Tiberiu Coloşi},

title={Numerical Simulation and Automatic Control of the pH Value in an Industrial Blunting System},

booktitle={Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},

year={2014},

pages={540-549},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005062505400549},

isbn={978-989-758-039-0},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,

TI - Numerical Simulation and Automatic Control of the pH Value in an Industrial Blunting System

SN - 978-989-758-039-0

AU - Mureşan V.

AU - Groza A.

AU - Abrudean M.

AU - Coloşi T.

PY - 2014

SP - 540

EP - 549

DO - 10.5220/0005062505400549