Patent ID: 7143000

Claim:
A method for calculating at least one of a temperature of a solid body or a time needed for a change of the temperature of the solid body, comprising the following steps: i) defining a differential equation dT/dt=b−aT 4 −cT wherein T is the temperature of a solid body t is time b is per unit time temperature change caused by energy absorption ΔT EA , aT 4 is the per unit time temperature change ΔT ES caused by heat radiation, and cT is the per unit time temperature change caused by conductance of heat ΔT WA , ii) converting the differential equation into the following dimension-free (dimensionless) differential equation: d /dτ= 1−π − 4 wherein is dimensionless temperature τ is dimensionless time, π is dimensionless heat conductivity, iii) determining, and programming a computer with a function (τ) or its inverse function τ( ) that is a solution to the dimensionless differential equation, and compiling a matrix A =(a ij ), with i=1, 2; jεN; a ij =τ j and a 1j = j , for which (τ) at the values τ j makes: j = (τ j ) and τ( ) at the values j makes τ j =τ( j ); iv) in the computer, electronically determining at least one of the temperature T by a) calculating τ for t, b) calculating using the values contained in A , and c) calculating T for the values calculated in step d) for , or the time t by d) calculating for T, e) calculating τ using the values contained in A , and f) calculating t for the values calculated in step e) for τ; and v) controlling energy consumption of the solid body using the electronically determined temperature T.