Calculation of the errors in monitoring the ASH content of a flow of coal

Васильев, А. Э.; Klempner, K. S.; Kramarev, O.B.

doi:10.1007/bf02497622

Soviet Mining Science

1976

DOI: 10.1007/bf02497622

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Calculation of the errors in monitoring the ASH content of a flow of coal

А. Э. Васильев¹,

K. S. Klempner²,

O.B. Kramarev³

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1981

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Sensitivity and methodological error in multiple measurements of the ash content of coal

Liflyand¹

1981

Soviet Mining Science

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Klempner and Vasil'ev [i] have investigated the sensitivities of methods of measuring the ash content of coal with the aid of ionizing radiation.In [2] they analyzed the methodological error and derived an expression for it when there is a single flux of radiation and no correlation between the parameters of the object of control. However, owing to Increased requirements for precision of measurement, multiple measurementsare now being widely used [3]. In this connection we may generalize and supplement the results in [i, 2] to the case of several fluxes of radiation.The density of each of n fluxes of ionizing radiation, %e, is expressed as a function %e(X~p, Xnp) of two vectors, the ash-forming parameter X ~ and the non-ash-formlng parameter ap X 1 np Xap = {Xal, Xa~, ..., Xam}, Xnp= {~al, ~a2, ..., =n~},where Xaj is an ash-forming parameter, the concentration of the J-th component of the ash in the mass of coal (the first component x ~ is the principal one, the others are impurities), and Xnl is a non-ash-forming parameter ~the moisture content of the coal, the geometrical parameters, etc.). Consequentlys the sensitivity of the l-th flux to the ash content coincides with the sensitivity to the principal component~ ')et (-Yap, Xnp) ,)e, (Xalp, Xnp') (4)Since we are investigating the dependencesof the density ~ of the flux of radiation on two types of argument (I) and (2) and are considering two functionsp we can refer to two types of sensitivity of the flux to the ash-forming parameters (e.g., to the iron concentration Xaa = Cye):

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Sensitivity and methodological error in multiple measurements of the ash content of coal

Liflyand¹

1981

Soviet Mining Science

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Calculation of the errors in monitoring the ASH content of a flow of coal

Cited by 1 publication

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Sensitivity and methodological error in multiple measurements of the ash content of coal

Sensitivity and methodological error in multiple measurements of the ash content of coal

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