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 2009This British Standardwas published
2、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 forewordThis British Standard is the UK implementation of EN ISO 13786:2007.It supersedes BS EN ISO 13786:1
3、999 which is withdrawn.The UK participation in its preparation was entrusted to TechnicalCommittee B/540, Energy performance of materials components andbuildings.A list of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 this committee can be obtained onrequest to its secretary.This publication does not purport to incl
4、ude 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 2009 Correction to missing ISO pagesEUROPEAN STANDARDNORME EUROPENNEEUROPISCHE NORMEN ISO 13786Decembe
5、r 2007ICS 91.060.01; 91.120.10 Supersedes EN ISO 13786:1999 English VersionThermal performance of building components - Dynamic thermalcharacteristics - Calculation methods (ISO 13786:2007)Performance thermique des composants de btiment -Caractristiques thermiques dynamiques - Mthodes decalcul (ISO
6、13786:2007)Wrmetechnisches Verhalten von Bauteilen - Dynamisch-thermische Kenngren - Berechnungsverfahren (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 t
7、his EuropeanStandard the status of a national standard without any alteration. Up-to-date lists and bibliographical 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 (
8、English, French, German). A version in any other language made by translationunder the responsibility 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, Bulgari
9、a, Cyprus, Czech Republic, Denmark, Estonia, Finland,France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal,Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.EUROPEAN COMMITTEE FOR STANDARDIZATIO
10、NCOMIT EUROPEN DE NORMALISATIONEUROPISCHES KOMITEE FR NORMUNGManagement Centre: rue de Stassart, 36 B-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 13786:2007EN ISO 13786:2007 (E) 3 For
11、eword 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 b
12、y SIS. 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
13、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 supersedes EN ISO 13786:1999. According to the CEN/CENELEC Internal Regulations, the national standards organizations of
14、 the 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, Slov
15、akia, 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 13786:2007ISO 13786:2007(E) ISO 2007 All rights reserved iiiContents Page Foreword iv Introduction v 1
16、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 variations 6 5 Data required. 6 6 Heat transfer matrix of a multi-layer component. 7 6.1 General. 7 6.
17、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 7.1 Characteristics for any component 8 7.2 Characteristics for components consisting of plane
18、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 method and examples of applications 13 Annex C (informative) Further information for computer progra
19、mming 17 Annex D (informative) Examples 19 Bibliography . 22 BS EN ISO 13786:2007ISO 13786:2007(E) iv ISO 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 Intern
20、ational Standards is normally carried out through ISO technical committees. Each member body interested in 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
21、 ISO, also take part in the work. ISO collaborates closely with the International Electrotechnical Commission (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
22、 committees is to prepare International Standards. Draft International Standards adopted by the technical 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
23、the possibility that some of the elements of this document may be the subject of patent rights. ISO shall 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, Subc
24、ommittee SC 2, Calculation methods. This second edition cancels and replaces the first edition (ISO 13786:1999), 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 def
25、inition of heat capacity (3.1.1.5) has been modified; all equations in 7.2.1 and 7.2.2 have been reviewed 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 ha
26、s been added; Annex D contains amended examples to align with changes to the formulae in the main body of the text. BS EN ISO 13786:2007ISO 13786:2007(E) ISO 2007 All rights reserved vIntroduction This International Standard provides the means (in part) to assess the contribution that building produ
27、cts and 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 te
28、mperature 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 propertie
29、s, relating 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
30、aforementioned 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. T
31、he dynamic 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 13786:2007BS EN ISO 13786:2007INTERNATIONAL STANDARD ISO 13786:2
32、007(E) ISO 2007 All rights reserved 1Thermal performance of building components Dynamic thermal characteristics 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 the
33、ir calculation. It also specifies the information on building materials required for the use of the building 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
34、 building components. The definitions given in this International Standard are applicable to any building component. 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
35、estimation of the heat capacities in some limited cases. These methods are suitable for the determination of 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 ex
36、amples of applications of the dynamic thermal characteristics defined in this International Standard. Annex 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 ind
37、ispensable for the application of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies. ISO 6946, Building components and building elements Thermal resistance and thermal transmit
38、tance Calculation method ISO 7345, Thermal insulation Physical quantities and definitions ISO 10211, Thermal bridges in building construction Heat flows and surface temperatures Detailed calculations BS EN ISO 13786:2007ISO 13786:2007(E) 2 ISO 2007 All rights reserved3 Terms, definitions, symbols an
39、d units 3.1 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 o
40、f a building 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 c
41、onditions 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
42、n ntt ee +=+ +=+ +(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
43、.4 periodic 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 13786:2007ISO 13786:2007(E) ISO 2007 All rights reserved 3N
44、OTE 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 on side n when the temperature amplitude on side m is zero. NOTE 2 As a convention within
45、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 frequency Another representation of the concept: 1mmmmnCLL= (5) 3.1.1.6 time shift t period
46、 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
47、 of material in which the largest size of inhomogeneities does not exceed one fifth of the thickness of the layer 3.1.2.3 thermal admittance complex quantity defined as the complex amplitude of the density of heat flow rate through the surface of the component adjacent to zone m, divided by the comp
48、lex amplitude of the temperature in the same zone when the temperature on the other side is held constant Another representation of the concept: mmmmqY= (6) 3.1.2.4 periodic thermal transmittance complex quantity defined as the complex amplitude of the density of heat flow rate through the surface o
49、f the component adjacent to zone m, divided by the complex amplitude of the temperature in zone n when the temperature in zone m is held constant Another representation of the concept: mmnnqY= (7) BS EN ISO 13786:2007ISO 13786:2007(E) 4 ISO 2007 All rights reserved3.1.2.5 areal heat capacity heat capacity divided by area of element Another representation of the concept: 1mmmmmnCYYA= (8) NOTE 1 Using Equation (8), the hea
