Electrical energy prediction
using a surface fitting model for an
on-farm direct expansion bulk milk
cooler (DXBMC) in South Africa
Russel Mhundwa and Michael Simon
Fort Hare Institute of Technology, University of Fort Hare, Alice, South Africa
Abstract
Purpose – This paper aims to show that a simplified surface fitting model can be efficient in determining
the energy consumption during milk cooling by an on-farm direct expansion bulk milk cooler (DXBMC). The
study reveals that milk volume and the temperature gradient between the room and the final milk
temperature can effectively be used for predicting the energy consumption within 95% confidence bounds.
Design/methodology/approach – A data acquisition system comprised a Landis and Gyr E650 power
meter, TMC6-HE temperature sensors, and HOBO UX120-006M 4-channel analog data logger was designed and
built for monitoring of the DXBMC. The room temperature where the DXBMC is housed was measured using a
TMC6-HE temperature sensor, connected to a Hobo UX120-006M four-channel analog data logger which was
configured to log at one-minute intervals. The electrical energy consumed by the DXBMC was measured using a
Landis and Gyr E650 meter while the volume of milk was extracted from on the farm records.
Findings – The results showed that the developed model can predict the electrical energy consumption of the
DXBMC within an acceptable accuracy since 80% of the variation in the electrical energy consumption by
the DXBMC was explained by the mathematical model. Also, milk volume and the temperature gradient between
the room and final milk temperature in the BMC are primary and secondary contributors, respectively, to
electrical energy consumption by the DXBMC. Based on the system that has been monitored the findings reveal
that the DXBMC was operating within the expected efficiency level as evidenced by the optimized electrical
energy consumption (EEC) closely mirroring the modelled EEC with a determination coefficient of 0.95.
Research limitations/implications – Only one system was monitored due to unavailability of funding
to deploy several data acquisition systems across the country. The milk blending temperatures, effects of the
insulation of the DXBMC, were not taken into account in this study.
Practical implications – The developed model is simple to use, cost effective and can be applied in real-
time on the dairy farm which will enable the farmer to quickly identify an increase in the cooling energy per
unit of milk cooled.
Social implications – The developed easy to use model can be used by dairy farmers on similar on-farm
DXBMC; hence, they can devise ways to manage their energy consumption on the farm during the cooling of
milk and foster some energy efficiency initiatives.
Originality/value – The implementation of the developed model can be useful to dairy farmers in South
Africa. Through energy optimization, the maintenance of the DXBMC can be determined and scheduled
accordingly.
Keywords Regression, Direct expansion bulk milk cooler, Milk cooling energy, ReliefF algorithm,
Surface fitting model
Paper type Research paper
The authors would like to acknowledge the Fort Hare Dairy Trust management for their help and
assistance in collecting essential electricity data, the financial supports from Eskom and the Fort
Hare Institute of Technology which was used to purchase the measuring equipment.
Electrical
energy
prediction
Received 26 May 2020
Revised 31 July 2020
Accepted 3 September 2020
Journal of Engineering, Design
and Technology
© Emerald Publishing Limited
1726-0531
DOI 10.1108/JEDT-05-2020-0198
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