Some Observations Regarding the Matts-Öhnfeldt Equation

A. Bテ、ck

Alstom Environmental Control Systems, Alstom Power Sweden AB, Vテ、xjテカ, Sweden

Abstract- This paper presents some observations regarding the well-known Matts-Öhnfeldt formula for collection efficiency of electrostatic precipitators. The Matts-Öhnfeldt equation is universally used for ESP sizing and evaluation of ESP performance and relates the ESP collection efficiency to the (modified) migration velocity, \(w_k\), and the specific collecting area, \(A/Q\), via \(\eta=1-\exp [-(w_kA/Q)^k]\). First it is pointed out that the Matts-Öhnfeldt equation is identical to the famous Weibull distribution function, which is used frequently in reliability theory and many other scientific areas. Second, it is shown that there exists a particle size distribution where, under the normal approximation of proportionality between particle diameter and migration velocity, the resulting ESP efficiency is exactly the Matts-Öhnfeldt formula. Finally, cases where the parameter k in the Matts-Öhnfeldt equation is larger than one are discussed and exemplified.

Keywords- Electrostatic precipitator, ESP, migration velocity, wk, Matts-Öhnfeldt, particle size



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