Constructal complex–objective optimization of electromagnet based on magnetic induction and maximum temperature difference
Shuhuan Wei, Lingen Chen*, and Fengrui Sun
Postgraduate School, Naval University of Engineering, Wuhan 430033, P.R. China, Fax: 0086–27–83638709, Tel: 0086–27–83615046, *e–mail: lgchenna@yahoo.com; lingenchen@hotmail.com
Recibido el 27 de enero de 2010
Aceptado el 3 de marzo de 2010
Abstract
The good performance of an electromagnet requires high magnetic induction and a low temperature. A new complex–objective function reflected magnetic induction and maximum temperature difference is set up, and the electromagnet is optimized using the new complex–objective function. The optimization results show that the performance of the electromagnet is improved as the number of high thermal conductivity cooling discs inserted increases. When the performance of the electromagnet achieves its best level, the solenoid becomes longer and thinner as the number of high thermal conductivity cooling discs increases. Simultaneously, the magnetic induction becomes higher and the maximum temperature difference becomes lower. The optimized performance of the electromagnet also improves as the volume of solenoid increases; simultaneously, the magnetic induction first increases and then decreases, and the maximum temperature difference decreases all along.
Keywords: Constructal theory; electromagnet; complex–objective optimization.
Resumen
El buen funcionamiento de un electroimán requiere de una alta inducción magnética y una baja temperatura. Los resultados de la optimización demuestran que el funcionamiento del electroimán mejora al incrementar el número de discos de enfriamiento de alta conductividad térmica insertados. Cuando el funcionamiento del electroimán alcanza su mejor nivel, el solenoide llega a ser más largo y más fino mientras que el número de discos de enfriamiento de alta conductividad térmica aumenta. Simultáneamente, la inducción magnética llega a ser más alta y la diferencia de la temperatura máxima disminuye. El funcionamiento optimizado del electroimán también mejora mientras que el volumen de solenoide aumenta; simultáneamente, la inducción magnética primero aumenta y después disminuye, y la diferencia de la temperatura máxima disminuye.
Descriptores: Teoría constructal; electroimán; optimización complejo–objetiva.
PACS: 057.70.–a; 01.40G
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Acknowledgements
This paper is supported by The National Natural Science Foundation of P. R. China (Project No. 10905093), The Program for New Century Excellent Talents in University of P. R. China and The Foundation for the Author of National Excellent Doctoral Dissertation of P. R. China (Project No. 200136).
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