摘要 |
<p>A regularization model for electrical resistance mapping of a combustion vessel such as, for example, a furnace 12 which combusts a fossil fuel, stabilizes the calculation of resistivities ς from measured voltages u by incorporating third level and/or second level error minimization terms into the model. The third level error minimization term represents a third difference of resistivity formula ?3ψςψ. The second level error minimization term represents a second difference of resistivity ?2ψςψ. The third level and second level error minimization terms are deliberately defined to approximate local parabolic and linear behavior. A regularization constant η is used to adjust the weight afforded the third level and/or second level error minimization terms. A system computer 62 uses numerical methods to solve the regularization model for values of resistivity ς that result in a pre-established acceptable level of error E. The regularization model is incorporated into an on-line combustion vessel monitoring system.</p> |