# PD CEN TR 13205-3-2014

BSI Standards Publication PD CEN/TR 13205-3:2014 Workplace exposure — Assessment of sampler performance for measurement of airborne particle concentrations Part 3: Analysis of sampling efficiency dataPD CEN/TR 13205-3:2014 PUBLISHED DOCUMENT National foreword This Published Document is the UK implementation of CEN/ TR 13205-3:2014. Together with BS EN 13205-1:2014, BS EN 13205-2:2014, BS EN 13205-4:2014, BS EN 13205-5:2014 and BS EN 13205-6:2014 it supersedes BS EN 13205:2002 which is withdrawn. The UK participation in its preparation was entrusted to Technical Committee EH/2/2, Work place atmospheres. A list of organizations represented on this committee can be obtained on request to its secretary. This publication does not purport to include all the necessary provisions of a contract. Users are responsible for its correct application. © The British Standards Institution 2014. Published by BSI Standards Limited 2014 ISBN 978 0 580 78060 8 ICS 13.040.30 Compliance with a British Standard cannot confer immunity from legal obligations. This Published Document was published under the authority of the Standards Policy and Strategy Committee on 30 June 2014. Amendments issued since publication Date Text affectedPD CEN/TR 13205-3:2014TECHNICAL REPORT RAPPORT TECHNIQUE TECHNISCHER BERICHT CEN/TR 13205-3 June 2014 ICS 13.040.30 Supersedes EN 13205:2001 English Version Workplace exposure - Assessment of sampler performance for measurement of airborne particle concentrations - Part 3: Analysis of sampling efficiency data Exposition sur les lieux de travail - Évaluation des performances des instruments de mesurage des concentrations d aérosols - Partie 3: Analyse des données d efficacité de prélèvement Exposition am Arbeitsplatz - Beurteilung der Leistungsfähigkeit von Sammlern für die Messung der Konzentration luftgetragener Partikel - Teil 3: Analyse der Daten zum Probenahmewirkungsgrad This Technical Report was approved by CEN on 14 January 2013. It has been drawn up by the Technical Committee CEN/TC 137. CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and United Kingdom. EUROPEAN COMMITTEE FOR STANDARDIZATION COMITÉ EUROPÉEN DE NORMALISATION EUROPÄISCHES KOMITEE FÜR NORMUNG CEN-CENELEC Management Centre: Avenue Marnix 17, B-1000 Brussels © 2014 CEN All rights of exploitation in any form and by any means reserved worldwide for CEN national Members. Ref. No. CEN/TR 13205-3:2014 EPD CEN/TR 13205-3:2014 CEN/TR 13205-3:2014 (E) 2 Contents Page Foreword 3 Introduction . 4 1 Scope 5 2 Normative references 5 3 Terms and definitions . 5 4 Symbols and abbreviations 5 4.1 Symbols 5 4.1.1 Latin 5 4.1.2 Greek . 10 4.2 Enumerating subscripts 11 4.3 Abbreviations . 12 5 Analysis of sampling efficiency data from a performance test according EN 13205-2 12 5.1 General 12 5.2 Presumption of exactly balanced data 13 5.3 Examples of balanced experimental designs . 13 5.4 Analysis of efficiency data based on monodisperse test aerosols using the polygonal approximation method 14 5.4.1 Statistical model for the efficiency values 14 5.4.2 Estimation of mean sampled concentration . 15 5.4.3 Estimation of uncertainty (of measurement) components 17 5.5 Analysis of efficiency data based on monodisperse or polydisperse test aerosols using the curve-fitting method 27 5.5.1 Statistical model of the sampling efficiency data 27 5.5.2 Estimation of mean sampled concentration . 28 5.5.3 Estimation of uncertainty (of measurement) components 30 Bibliography 46 PD CEN/TR 13205-3:2014 CEN/TR 13205-3:2014 (E) 3 Foreword This document (CEN/TR 13205-3:2014) has been prepared by Technical Committee CEN/TC 137 “Assessment of workplace exposure to chemical and biological agents”, the secretariat of which is held by DIN. Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. CEN [and/or CENELEC] shall not be held responsible for identifying any or all such patent rights. This document together with EN 13205-1, EN 13205-2, EN 13205-4, EN 13205-5 and EN 13205-6 supersedes EN 13205:2001. EN 13205, Workplace exposure — Assessment of sampler performance for measurement of airborne particle concentrations, consists of the following parts: — Part 1: General requirements; — Part 2: Laboratory performance test based on determination of sampling efficiency; — Part 3: Analysis of sampling efficiency data [Technical Report] (the present document); — Part 4: Laboratory performance test based on comparison of concentrations; — Part 5: Aerosol sampler performance test and sampler comparison carried out at workplaces; — Part 6: Transport and handling tests. PD CEN/TR 13205-3:2014 CEN/TR 13205-3:2014 (E) 4 Introduction EN 481 defines sampling conventions for the particle size fractions to be collected from workplace atmospheres in order to assess their impact on human health. Conventions are defined for the inhalable, thoracic and respirable aerosol fractions. These conventions represent target specifications for aerosol samplers, giving the ideal sampling efficiency as a function of particle aerodynamic diameter. In general, the sampling efficiency of real aerosol samplers will deviate from the target specification, and the aerosol mass collected will therefore differ from that which an ideal sampler would collect. In addition, the behaviour of real samplers is influenced by many factors such as external wind speed. In many cases there is an interaction between the influence factors and fraction of the airborne particle size distribution of the environment in which the sampler is used. This Technical Report presents how data obtained in a type A test (see EN 13205-2) can be analysed in order to calculate the uncertainty components specified in EN 13205-2. The evaluation method described in this Technical Report shows how to estimate the candidate sampler’s sampling efficiency as a function of particle aerodynamic diameter based on the measurement of sampling efficiency values for individual sampler specimen, whether all aspirated particles are part of the sample (as for most inhalable samplers) or if a particle size-dependent penetration occurs between the inlet and the collection substrate (as for thoracic and respirable samplers). The document shows how various sub-components of sampling errors due non-random and random sources of error can be calculated from measurement data, for example, for individual sampler variability, estimation of sampled concentration and experimental errors. PD CEN/TR 13205-3:2014 CEN/TR 13205-3:2014 (E) 5 1 Scope This Technical Report specifies evaluation methods for analysing the data obtained from a type A test of aerosol samplers under prescribed laboratory conditions as specified in EN 13205-2. The methods can be applied to all samplers used for the health-related sampling of particles in workplace air. 2 Normative references The following documents, in whole or in part, are normatively referenced in this document and are indispensable for its application. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies. EN 1540, Workplace exposure — Terminology EN 13205-1:2014, Workplace exposure — Assessment of sampler performance for measurement of airborne particle concentrations — Part 1: General requirements EN 13205-2:2014, Workplace exposure — Assessment of sampler performance for measurement of airborne particle concentrations — Part 2: Laboratory performance test based on determination of sampling efficiency 3 Terms and definitions For the purpose of this document, the term and definitions given in EN 1540, EN 13205-1 and EN 13205-2 apply. NOTE With regard to EN 1540, in particular, the following terms are used in this document: total airborne particles, respirable fraction, sampling efficiency, static sampler, thoracic fraction, measuring procedure, non-random uncertainty, random uncertainty, expanded uncertainty, standard uncertainty, combined standard uncertainty, uncertainty (of measurement), coverage factor, precision and analysis. 4 Symbols and abbreviations 4.1 Symbols 4.1.1 Latin A D A , σ A , D ( ) relative lognormal aerosol size distribution, with mass median aerodynamic diameter D Aand geometric standard deviation σ A , [1/µm] NOTE The word “relative” means that the total amount of particles is unity [-], i.e. A D A , σ A , D ( )d D 0 ∞ ∫ = 1. A pintegration of aerosol size distribution A between two particle sizes, [-] – (polygonal approximation method) A t, pintegration of aerosol size distribution A between two particle sizes, calculated using set t of the simulated test particle sizes, [-] – (polygonal approximation method) front top right left , , , , ipr ipr ipr ipr ipr b b b b b coefficients in Formula (19) to estimate the test aerosol concentration at a specific sampler position e.g. in a wind tunnel based on nearby concentrations (to the left, right, above and in front of) the sampler measured by thin-walled sharp-PD CEN/TR 13205-3:2014 CEN/TR 13205-3:2014 (E) 6 edged probes, [-] q b regression coefficient q for calibration of particle counter/sizer or similar, [dimension depends on particle counter], (curve-fitting method) C issampled relative aerosol concentration, calculated to be obtained when using the candidate sampler individual s, for aerosol size distribution A at influence variable value i ς , [-] – (curve-fitting method) C is,tsampled relative aerosol concentration, calculated to be obtained when using the candidate sampler individual s, for aerosol size distribution A at influence variable value i ς , using simulated set t of test particle sizes, [-] – (curve-fitting method) C i,tmean sampled relative aerosol concentration, calculated to be obtained when using the candidate sampler, for aerosol size distribution A at influence variable value i ς , using simulated set t of test particle sizes, [-] – (polygonal approximation method) c Ref is[ r ]correction factor for the measured efficiency values if the total airborne aerosol concentration varies between repeats, [-] – (curve-fitting method) D aerodynamic diameter, [µm] D Amass median aerodynamic diameter of a lognormal aerosol size distribution A, [µm] D A amass median aerodynamic diameter a of a lognormal aerosol size distribution A, [µm] D caerodynamic particle size of calibration particle c (c=1 to N C ), [µm] – (curve- fitting method) D maxdiameter of the end of the integration range of the sampled aerosol, [µm] –and H D mindiameter of the beginning of the integration range of the sampled aerosol, [µm] D paerodynamic diameter of test particle p (p=1 to N P ), [µm] D t, psimulated test particle size, [µm] D uaerodynamic particle size of small particles u (u=1 to N U ) for which the sampling efficiency is known to be e 0 , [µm]– (curve-fitting method) E ipexpectation value of the efficiency for test particle size p at influence variable value i ς , [-] – (polygonal approximation method) est E is inletfitted sampling efficiency curve (of the inlet stage) of the candidate sampler individual s at influence variable value i ς , [-] – (curve-fitting method) est E is penfitted penetration curve (of the separation stage) of the candidate sampler individual s at influence variable value i ς , [-] – (curve-fitting method) est E is totfitted sampling efficiency curve (of the combined inlet and penetration stages) of the candidate sampler individual s at influence variable value i ς , [-] – (curve- fitting method) est E is,tfitted sampling efficiency curve of the candidate sampler individual s at influence variable value i ςusing simulated set t of N Pparticle sizes, [-] – (curve-fitting method) PD CEN/TR 13205-3:2014 CEN/TR 13205-3:2014 (E) 7 e ipr[s] and e ips[r]experimentally determined efficiency value, with notation for polygonal approximation and curve-fitting methods, respectively. The subscripts are for influence variable value i ς , particle size p (p=1 to N P ), sampler individual s (s=1 to N S ) and repeat r (r=1 to N R ), [-] – (notation for polygonal approximation and curve-fitting methods, respectively) e 0known efficiency value for small particle sizes, [-] – (curve-fitting method) F LoF istest variable for “lack of fit” for the regression model ˆ is Efor the sampling efficiency of candidate sampler individual s and influence variable value i ς , [-] – (curve-fitting method) F CandSamplVar itest variable for the check whether the individual sampler variability exceeds that of the uncertainty of the calculated concentrations, for influence variable value i ς , [-] F 0.95 ν N , ν D ( ) 95-percentile of F distribution with ν N and ν D degrees of freedom, [-] f k Ξ ( ) functions (of Ξ ) used to build the regression model of the efficiency curve (index k=1 to N K ), [-] – (curve-fitting method) f k inlet Ξ ( ) functions (of Ξ ) used to build the regression model of the efficiency curve of the inlet stage (index k=1 to N K ), [-] – (curve-fitting method) f k pen Ξ ( ) functions (of Ξ ) used to build the regression model of the penetration curve of the separation stage (index k=1 to N K ), [-] – (curve-fitting method) G LoF isuncertainty inflation factor for the “lack of fit” uncertainty of the regression model for candidate sampler individual s and influence variable value i ς , [-] G pe isuncertainty inflation factor for the “pure error” uncertainty of the regression model for candidate sampler individual s and influence variable value i ς , [-] h ip left , h ip right , h ip top , h ip frontnearby thin-walled sharp-edged probe concentrations measured in order to be able to estimate the test aerosol concentration at a specific sampler position, e.g. in a wind tunnel (to the left, right, above and in front of) the candidate sampler (see Formula (19)), [mg/m 3 ] or [1/m 3 ] depending on the application ipr h esttotal airborne aerosol concentration estimated from the sharp-edged probe values; the subscripts are for influence variable value i (i=1 to N IV ), particle size p (p=1 to N P ) and repeat r (r=1 to N R ) N Cnumber of sizes for calibration particles – (curve-fitting method) N CRnumber of regression coefficients for calibration of particle counter/sizer or similar – (curve-fitting method) N IVnumber of values for the other influence variables at which tests were performed N Knumber of regression coefficients in the model for the candidate sampler – (curve-fitting method) N K inletnumber of regression coefficients in the model (inlet stage) for the candidate sampler – (curve-fitting method) N K pennumber of regression coefficients in the model of the penetration through the se