1、BS EN ISO13786:2007ICS 91.120.10NO COPYING WITHOUT BSI PERMISSION EXCEPT AS PERMITTED BY COPYRIGHT LAWBRITISH STANDARDThermal performanceof building components Dynamic thermalcharacteristics Calculation methods(ISO 13786:2007)Incorporating Corrigendum February 2009Licensed Copy: Wang Bin, ISO/EXCHAN
2、GE CHINA STANDARDS, 24/03/2009 07:30, Uncontrolled Copy, (c) BSIThis British Standardwas published under theauthority of the StandardsPolicy and StrategyCommittee on 31 2008 BSI 2009ISBN 978 0 580 67099 2Amendments/corrigenda issued since publicationDate CommentsBS EN ISO 13786:2007National foreword
3、This British Standard is the UK implementation of EN ISO 13786:2007.It supersedes BS EN ISO 13786:1999 which is withdrawn.The UK participation in its preparation was entrusted to TechnicalCommittee B/540, Energy performance of materials components andbuildings.A list of organizations represented on
4、this committee can be obtained onrequest to its secretary.This publication does not purport to include all the necessary provisionsof a contract. Users are responsible for its correct application.Compliance with a British Standard cannot confer immunityfrom legal obligations.December 28 February 200
5、9 Correction to missing ISO pagesLicensed Copy: Wang Bin, ISO/EXCHANGE CHINA STANDARDS, 24/03/2009 07:30, Uncontrolled Copy, (c) BSIEUROPEAN STANDARDNORME EUROPENNEEUROPISCHE NORMEN ISO 13786December 2007ICS 91.060.01; 91.120.10 Supersedes EN ISO 13786:1999 English VersionThermal performance of buil
6、ding components - Dynamic thermalcharacteristics - Calculation methods (ISO 13786:2007)Performance thermique des composants de btiment -Caractristiques thermiques dynamiques - Mthodes decalcul (ISO 13786:2007)Wrmetechnisches Verhalten von Bauteilen - Dynamisch-thermische Kenngren - Berechnungsverfah
7、ren (ISO13786:2007)This European Standard was approved by CEN on 7 December 2007.CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this EuropeanStandard the status of a national standard without any alteration. Up-to-date lists and bi
8、bliographical references concerning such nationalstandards may be obtained on application to the CEN Management Centre or to any CEN member.This European Standard exists in three official versions (English, French, German). A version in any other language made by translationunder the responsibility
9、of a CEN member into its own language and notified to the CEN Management Centre has the same status as theofficial versions.CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Cyprus, Czech Republic, Denmark, Estonia, Finland,France, Germany, Greece, Hungary, Iceland, Irelan
10、d, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal,Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.EUROPEAN COMMITTEE FOR STANDARDIZATIONCOMIT EUROPEN DE NORMALISATIONEUROPISCHES KOMITEE FR NORMUNGManagement Centre: rue de Stassart, 36 B-
11、1050 Brussels 2007 CEN All rights of exploitation in any form and by any means reservedworldwide for CEN national Members.Ref. No. EN ISO 13786:2007: EBS EN ISO 13786:2007Licensed Copy: Wang Bin, ISO/EXCHANGE CHINA STANDARDS, 24/03/2009 07:30, Uncontrolled Copy, (c) BSIEN ISO 13786:2007 (E) 3 Forewo
12、rd This document (EN ISO 13786:2007) has been prepared by Technical Committee ISO/TC 163 “Thermal performance and energy use in the built environment“ in collaboration with Technical Committee CEN/TC 89 “Thermal performance of buildings and building components“, the secretariat of which is held by S
13、IS. This European Standard shall be given the status of a national standard, either by publication of an identical text or by endorsement, at the latest by June 2008, and conflicting national standards shall be withdrawn at the latest by June 2008. Attention is drawn to the possibility that some of
14、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 supersedes EN ISO 13786:1999. According to the CEN/CENELEC Internal Regulations, the national standards organizations of th
15、e following countries are bound to implement this European Standard: Austria, Belgium, Bulgaria, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovaki
16、a, Slovenia, Spain, Sweden, Switzerland and the United Kingdom. Endorsement notice The text of ISO 13786:2007 has been approved by CEN as a EN ISO 13786:2007 without any modification. BS EN ISO 13786:2007Licensed Copy: Wang Bin, ISO/EXCHANGE CHINA STANDARDS, 24/03/2009 07:30, Uncontrolled Copy, (c)
17、BSIISO 13786:2007(E) ISO 2007 All rights reserved iiiContents Page Foreword iv Introduction v 1 Scope . 1 2 Normative references . 1 3 Terms, definitions, symbols and units . 2 3.1 Terms and definitions. 2 3.2 Symbols and units 5 3.3 Subscripts . 6 3.4 Other symbols. 6 4 Period of the thermal variat
18、ions 6 5 Data required. 6 6 Heat transfer matrix of a multi-layer component. 7 6.1 General. 7 6.2 Procedure 7 6.3 Heat transfer matrix of a homogeneous layer . 7 6.4 Heat transfer matrix of plane air cavities . 8 6.5 Heat transfer matrix of a building component. 8 7 Dynamic thermal characteristics 8
19、 7.1 Characteristics for any component 8 7.2 Characteristics for components consisting of plane and homogeneous layers. 8 8 Report 10 8.1 Calculation report . 10 8.2 Summary of results 10 Annex A (normative) Simplified calculation of the heat capacity . 11 Annex B (informative) Principle of the meth
20、od and examples of applications 13 Annex C (informative) Further information for computer programming 17 Annex D (informative) Examples 19 Bibliography . 22 BS EN ISO 13786:2007Licensed Copy: Wang Bin, ISO/EXCHANGE CHINA STANDARDS, 24/03/2009 07:30, Uncontrolled Copy, (c) BSIISO 13786:2007(E) iv ISO
21、 2007 All rights reservedForeword ISO (the International Organization for Standardization) is a worldwide federation of national standards bodies (ISO member bodies). The work of preparing International Standards is normally carried out through ISO technical committees. Each member body interested i
22、n a subject for which a technical committee has been established has the right to be represented on that committee. International organizations, governmental and non-governmental, in liaison with ISO, also take part in the work. ISO collaborates closely with the International Electrotechnical Commis
23、sion (IEC) on all matters of electrotechnical standardization. International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2. The main task of technical committees is to prepare International Standards. Draft International Standards adopted by the technical
24、 committees are circulated to the member bodies for voting. Publication as an International Standard requires approval by at least 75 % of the member bodies casting a vote. Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. ISO shall
25、 not be held responsible for identifying any or all such patent rights. ISO 13786 was prepared by Technical Committee ISO/TC 163, Thermal performance and energy use in the built environment, Subcommittee SC 2, Calculation methods. This second edition cancels and replaces the first edition (ISO 13786
26、:1999), which has been technically revised. The following principal changes have been made to the first edition: all equations in Clause 3 have been reviewed and corrected as appropriate; the definition of heat capacity (3.1.1.5) has been modified; all equations in 7.2.1 and 7.2.2 have been reviewed
27、 and corrected as appropriate; 7.2.4 contains a new equation for periodic thermal transmittance, and a new note; Equation (A.4) has been corrected; B.2 has undergone minor revisions; Table C.1 has been added; Annex D contains amended examples to align with changes to the formulae in the main body of
28、 the text. BS EN ISO 13786:2007Licensed Copy: Wang Bin, ISO/EXCHANGE CHINA STANDARDS, 24/03/2009 07:30, Uncontrolled Copy, (c) BSIISO 13786:2007(E) ISO 2007 All rights reserved vIntroduction This International Standard provides the means (in part) to assess the contribution that building products an
29、d services make to energy conservation and to the overall energy performance of buildings. The dynamic thermal characteristics of a building component describe the thermal behaviour of the component when it is subject to variable boundary conditions, i.e. variable heat flow rate or variable temperat
30、ure on one or both of its boundaries. In this International Standard, only sinusoidal boundary conditions are considered: boundaries are submitted to sinusoidal variations of temperature or heat flow rate. The properties considered are thermal admittances and thermal dynamic transfer properties, rel
31、ating cyclic heat flow rate to cyclic temperature variations. Thermal admittance relates heat flow rate to temperature variations on the same side of the component. Thermal dynamic transfer properties relate physical quantities on one side of the component to those on the other side. From the aforem
32、entioned properties, it is possible to define the heat capacity of a given component which quantifies the heat storage property of that component. The dynamic thermal characteristics defined in this International Standard can be used in product specifications of complete building components. The dyn
33、amic thermal characteristics can also be used in the calculation of: the internal temperature in a room; the daily peak power and energy needs for heating or cooling; the effects of intermittent heating or cooling, etc. BS EN ISO 13786:2007Licensed Copy: Wang Bin, ISO/EXCHANGE CHINA STANDARDS, 24/03
34、/2009 07:30, Uncontrolled Copy, (c) BSIBS EN ISO 13786:2007Licensed Copy: Wang Bin, ISO/EXCHANGE CHINA STANDARDS, 24/03/2009 07:30, Uncontrolled Copy, (c) BSIINTERNATIONAL STANDARD ISO 13786:2007(E) ISO 2007 All rights reserved 1Thermal performance of building components Dynamic thermal characterist
35、ics Calculation methods 1 Scope This International Standard specifies the characteristics related to the dynamic thermal behaviour of a complete building component and provides methods for their calculation. It also specifies the information on building materials required for the use of the building
36、 component. Since the characteristics depend on the way materials are combined to form building components, this International Standard is not applicable to building materials or to unfinished building components. The definitions given in this International Standard are applicable to any building co
37、mponent. A simplified calculation method is provided for plane components consisting of plane layers of substantially homogeneous building materials. Annex A specifies simpler methods for the estimation of the heat capacities in some limited cases. These methods are suitable for the determination of
38、 dynamic thermal properties required for the estimation of energy use. These approximations are not appropriate, however, for product characterization. Annex B gives the basic principle and examples of applications of the dynamic thermal characteristics defined in this International Standard. Annex
39、C provides information for programming the calculation method. Annex D gives examples of calculation for a building component. 2 Normative references The following referenced documents are indispensable for the application of this document. For dated references, only the edition cited applies. For u
40、ndated references, the latest edition of the referenced document (including any amendments) applies. ISO 6946, Building components and building elements Thermal resistance and thermal transmittance Calculation method ISO 7345, Thermal insulation Physical quantities and definitions ISO 10211, Thermal
41、 bridges in building construction Heat flows and surface temperatures Detailed calculations BS EN ISO 13786:2007Licensed Copy: Wang Bin, ISO/EXCHANGE CHINA STANDARDS, 24/03/2009 07:30, Uncontrolled Copy, (c) BSIISO 13786:2007(E) 2 ISO 2007 All rights reserved3 Terms, definitions, symbols and units 3
42、.1 Terms and definitions For the purposes of this document, the terms and definitions given in ISO 7345 and the following apply. 3.1.1 Definitions valid for any component 3.1.1.1 component part of a building, such as a wall, floor or roof, or a part of such an element 3.1.1.2 thermal zone of a build
43、ing part of a building throughout which the internal temperature is assumed to have negligible spatial variations NOTE 1 A component separates two zones, designated in this International Standard by m and n. NOTE 2 The external environment can also be considered a zone. 3.1.1.3 sinusoidal conditions
44、 conditions in which the variations of the temperature and heat flows around their long term average values are described by a sine function of time NOTE Using complex numbers, the temperature in zone n can be described by Equation (1) and the heat flow by Equation (2): ()jj1() cos2ttnnn n n ntt ee
45、+=+ +=+ +(1) ()jj1() cos2ttnnn n n ntt ee +=+ +=+ +(2) where n and n are average values of temperature and heat flow; n and n are amplitudes of temperature and heat flow variations; nand nare complex amplitudes defined by: jnne=and jnne= (3) is the angular frequency of the variations. 3.1.1.4 period
46、ic thermal conductance Lmncomplex number relating the periodic heat flow into a component to the periodic temperatures on either side of it under sinusoidal conditions Another representation of the concept: mmmmmnnLL= (4) BS EN ISO 13786:2007Licensed Copy: Wang Bin, ISO/EXCHANGE CHINA STANDARDS, 24/
47、03/2009 07:30, Uncontrolled Copy, (c) BSIISO 13786:2007(E) ISO 2007 All rights reserved 3NOTE 1 Lmmrelates the periodic heat flow on side m to the periodic temperature on side m when the temperature amplitude on side n is zero. Lmnrelates the periodic heat flow on side m to the periodic temperature
48、on side n when the temperature amplitude on side m is zero. NOTE 2 As a convention within this International Standard, the heat flow rate is defined as positive when it enters the surface of the component. 3.1.1.5 heat capacity modulus of the net periodic thermal conductance divided by the angular f
49、requency Another representation of the concept: 1mmmmnCLL= (5) 3.1.1.6 time shift t period of time between the maximum amplitude of a cause and the maximum amplitude of its effect 3.1.2 Definitions valid only for one dimensional heat flow 3.1.2.1 plane component component for which the smallest curvature radius is at least five times its thickness 3.1.2.2 homogeneous material layer layer of material in which the largest size of inhomoge
