With the continuing increase of chip density and the shrinkage of feature size of transistor in VLSI circuits, high temperature has become a concerned issue. High temperature not only decreases the functionality and reliability of chips, but also causes high package cost in order to cool down the system. For design consideration, one important issue related to temperature is how hot the chip may be. Thus, this paper investigates on the lower bound of peak temperature of a packaged chip and on the patterns that cause such bound. Two algorithms, Genetic Algorithm and Ant Colony Optimization, are applied for finding this lower bound of peak temperature. Experimental results show that the proposed approach obtains an average of 39.03% higher lower bound for ISCAS'85 combinational benchmarks and 6.80% for ISCAS'89 sequential benchmarks as compared to random approach under the TSMC 0.18μm library.

Boundary value problems of heat conduction

GA 2 CO: Peak temperature estimation of VLSI circuits

https://lib.dr.iastate.edu/cgi/viewcontent.cgi?article=5917&context=rtd

Transient and steady two-dimensional flow of water in unsaturated soils

An engineering study of r.f. heating of fusion reactors is described. The frequency range considered is below 100 MHz. Special consideration is given to r.f. structures located between the reactor wall and the plasma in the main fusion region. Possible arcing problems in this region are discussed and it is found that they may not be too serious for neutral pressures below 10−4 torr. It is proposed to feed the r.f. through a slanted vacuum port in order to reduce port area and to protect the voltage insulator from radiation and temperature damage. The cooling of an r.f. coil structure is considered in detail. It is proposed to use a split r.f. coil composed of heat pipes to carry the heat away. Curves are presented which give the maximum r.f. on-time for various coil currents, frequencies, and coil sizes before the coil surface reaches melting temperature. Other coupling schemes involving the use of the vacuum wall as a r.f. structure or locating a wave launcher in the high-field region of a mirror reactor are discussed. In the case of a mirror reactor it is found that this last scheme may be quite attractive since unidirectional couplers can be made and experimental results indicate that the wave reflections may not be too serious in the severe-density and field gradients. This scheme also offers a possible way of launching, for instance, ion-cyclotron waves into very dense plasmas. It is concluded that the engineering problems of fusion-reactor-r. f. heating, albeit formidable, are not impossible.

http://iopscience.iop.org/0029-5515/12/3/009/pdf/0029-5515_12_3_009.pdf

Some engineering problems of low-frequency heating of fusion reactors

This paper describes an improved finite-difference-based technique for accurately simulating the thermal behaviour of a metal oxide surge arrester (MOSA). Application of the suggested technique yields the steady-state axial and radial variation of arrester temperature. The accuracy of the modelling technique is demonstrated experimentally.

http://ieeexplore.ieee.org/iel7/9754/7102103/07102115.pdf

Hybrid simulation of metal oxide surge-arrester thermal behaviour

Departamento de Matematica Faculdade de Ciencias de Bauru UNESP-Universidade Estadual Paulista, Bauru 17033-360

Boundary value problems of heat conduction

Citations

GA 2 CO: Peak temperature estimation of VLSI circuits

Transient and steady two-dimensional flow of water in unsaturated soils

Some engineering problems of low-frequency heating of fusion reactors

Hybrid simulation of metal oxide surge-arrester thermal behaviour

Alternate treatments of jacobian singularities in polar coordinates within finite-difference schemes

Related Papers (5)

Conduction of Heat in Solids

Conduction heat transfer

The mathematics of diffusion

Methods of theoretical physics

Handbook of Mathematical Functions