1、BRITISH STANDARDBS EN 60027-6:2007Letter symbols to be used in electrical technology Part 6: Control technology ICS 01.060g49g50g3g38g50g51g60g44g49g42g3g58g44g55g43g50g56g55g3g37g54g44g3g51g40g53g48g44g54g54g44g50g49g3g40g59g38g40g51g55g3g36g54g3g51g40g53g48g44g55g55g40g39g3g37g60g3g38g50g51g60g53g
2、44g42g43g55g3g47g36g58BS EN 60027-6:2007This British Standard was published under the authority of the Standards Policy and Strategy Committee on 31 January 2008 BSI 2008ISBN 978 0 580 60037 1National forewordThis British Standard is the UK implementation of EN 60027-6:2007. It is identical to IEC 6
3、0027-6:2006.The UK participation in its preparation was entrusted to Technical Committee SS/7, General metrology, quantities, units and symbols.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 neces
4、sary provisions of a contract. Users are responsible for its correct application.Compliance with a British Standard cannot confer immunity from legal obligations.Amendments/corrigenda issued since publicationDate CommentsEUROPEAN STANDARD EN 60027-6 NORME EUROPENNE EUROPISCHE NORM October 2007 CENEL
5、EC European Committee for Electrotechnical Standardization Comit Europen de Normalisation Electrotechnique Europisches Komitee fr Elektrotechnische Normung Central Secretariat: rue de Stassart 35, B - 1050 Brussels 2007 CENELEC - All rights of exploitation in any form and by any means reserved world
6、wide for CENELEC members. Ref. No. EN 60027-6:2007 E ICS 01.060 Partially supersedes HD 60027-2:2003English version Letter symbols to be used in electrical technology - Part 6: Control technology (IEC 60027-6:2006) Symboles littraux utiliser en lectrotechnique - Partie 6: Technologie de commande et
7、de rgulation (CEI 60027-6:2006) Formelzeichen fr die Elektrotechnik - Teil 6: Steuerungs- und Regelungstechnik (IEC 60027-6:2006) This European Standard was approved by CENELEC on 2007-10-01. CENELEC members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions
8、 for giving this European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references concerning such national standards may be obtained on application to the Central Secretariat or to any CENELEC member. This European Standard exists in three o
9、fficial versions (English, French, German). A version in any other language made by translation under the responsibility of a CENELEC member into its own language and notified to the Central Secretariat has the same status as the official versions. CENELEC members are the national electrotechnical c
10、ommittees of Austria, Belgium, Bulgaria, Cyprus, the Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, the Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and the
11、United Kingdom. Foreword The text of document 25/331/FDIS, future edition 1 of IEC 60027-6, prepared by IEC TC 25, Quantities and units, and their letter symbols, in co-operation with the International Federation of Automatic Control (IFAC), was submitted to the IEC-CENELEC parallel vote and was app
12、roved by CENELEC as EN 60027-6 on 2007-10-01. This European Standard supersedes Clause 11 of HD 60027-2:2003. In comparison with Clause 11 of HD 60027-2:2003 the following has been altered: the number of physical quantities and of their symbols listed in this European Standard has been increased sig
13、nificantly. New clauses for general quantities, for general functions, for characteristic quantities of the step response, for mapping functions and their quantities, and for parameters of transfer elements and control loops have been included; the hitherto existing series of reserve symbols for var
14、iable quantities of the control loop has been deleted. Four symbols out of this series have been used as new symbols for main quantities; the presentation of the denotation of some mathematical concepts specific to the field formerly given in 11.4 has been removed to the column “remarks” of the rele
15、vant tables. The following dates were fixed: latest date by which the EN has to be implemented at national level by publication of an identical national standard or by endorsement (dop) 2008-07-01 latest date by which the national standards conflicting with the EN have to be withdrawn (dow) 2010-10-
16、01 Annex ZA has been added by CENELEC. _ Endorsement notice The text of the International Standard IEC 60027-6:2006 was approved by CENELEC as a European Standard without any modification. _ EN 60027-6:2007 2 3 EN 60027-6:2007 CONTENTS 1 Scope 4 2 Normative references .4 3 Principles .4 4 General qu
17、antities 5 5 General functions .7 6 Characteristic quantities of the step response .8 7 Mapping functions and their variable quantities .9 8 Parameters of transfer elements and control loops 10 9 Variable quantities of the control loop (open-loop control system and closed-loop control system).12 Ann
18、ex A (informative) Functional diagrams.13 Annex ZA (normative) Normative references to international publications with their corresponding European publications15 Figure A.1 Open-loop control system; guidance system 13 Figure A.2 Closed-loop control system; feedback control system.13 Figure A.3 Syst
19、em description using state variables .14 Table 1 General quantities .5 Table 2 General functions 7 Table 3 Characteristic quantities of the step response 8 Table 4 Mapping functions and their variable quantities 9 Table 5 Parameters of transfer elements and control loops .10 Table 6 Variable quantit
20、ies of the control loop 12 EN 60027-6:2007 4 LETTER SYMBOLS TO BE USED IN ELECTRICAL TECHNOLOGY Part 6: Control technology 1 Scope This part of IEC 60027 is applicable to control technology. It gives names and symbols for quantities, signals and functions, and their units. 2 Normative references The
21、 following referenced documents are necessary 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. lEC 60027-1:1992, Letter symbols to be used in electrica
22、l technology Part 1: General IEC 60027-2:2005, Letter symbols to be used in electrical technology Part 2: Telecommunications and electronics IEC 60050-101:1998, International Electrotechnical Vocabulary Part 101: Mathematics IEC 60050-351:2006, International Electrotechnical Vocabulary Part 351: Con
23、trol technology ISO 80000-3:2006, Quantities and units Part 3: Space and time ISO 31-5:1992, Quantities and units Part 5: Electricity and magnetism ISO 31-11:1992, Quantities and units Part 11: Mathematical signs and symbols for use in the physical sciences and technology ANSI/IEEE Std 280:1985, Let
24、ter symbols for quantities used in electrical science and electrical engineering 3 Principles 3.1 This standard presents a coherent body of letter symbols for the most important physical quantities and functions used in control science and technology, particularly for important variable quantities a
25、nd (without distinction) the signals representing them. 3.2 All signals and the quantities 1.01 to 1.03, 2.03 to 2.04, 3.05, 4.03 to 4.05, 4.07, 5.01 to 5.03, 5.18 to 5.22, and 6.01 to 6.09 may have any physical form; it is the control engineering design function which characterizes them. Therefore,
26、 for the above listed quantities and functions it is not possible to appoint a special unit to them. For those quantities and functions for which this is possible (1.04 to 1.12, 2.01 to 2.02, 3.01 to 3.04, 4.01, 4.02, 4.06, and 5.04 to 5.17) any user of this standard knows the corresponding unit. 5
27、EN 60027-6:2007 3.3 The names of quantities, functions and signals, their definitions, their 7-digit reference numbers and the names of functional blocks within the functional diagrams are based on IEC 60050-351. 3.4 In IEC 60050-101 and IEC 60050-351, letter symbols are just used but not standardiz
28、ed. International standardization of letter symbols and units is to be found in the different parts of ISO 31, ISO/IEC 80000, and IEC 60027 only. See also ANSI/IEEE 280. 3.5 Any of the basic symbols listed in Tables 1 to 6 may be supplemented by the signs and subscripts to be found in IEC 60027-1. S
29、ymbols for time-dependent quantities are covered by IEC 60027-1. 3.6 Letter symbols for quantities are printed in italic (sloping) type (irrespective of the type used in the rest of the text). Vector quantities and matrices are represented by bold face letters. The same letters in light face are use
30、d with subscripts for the respective components of vectors or elements of matrices. Vector quantities can also be represented by an arrow above the light face letter. Numbers, explicitly defined functions, operators, unit symbols, and subscripts not referring to quantities or variables as well as te
31、xt in connection with formulae are printed in roman (upright) type. See section 1 of IEC 60027-1:1992 for a more detailed description of recommendations for printing symbols, numbers, and subscripts. 3.7 Some entries in the column Remarks give the notation of some mathematical concepts specific to t
32、he field. 3.8 The list of recommended letter symbols in Tables 1 to 6 is followed in Annex A by functional block diagrams intended to show typical applications. 4 General quantities Table 1 General quantities The rules for the representation of vector quantities and matrices as described in paragrap
33、h 2 of 3.6 are normative specifications for items 1.01 to 1.03. NOTE 1: If one of quantities 1.01 to 1.03 is time-invariant and no ambiguity can result from this, the quantity may be symbolized by the capital letter related to the symbol of the respective quantity, possibly with a subscript (see sec
34、tion 2.2.4 of IEC 60027-1:1992. NOTE 2: The letter symbols stated at items 1.01 to 1.03 may be used for the relevant variable quantity as well as for a deviation from its operating point. If the total variable quantity and its deviation are to be symbolized separately, the symbol for the operating p
35、oint may be the capital letter related to the symbol stated beneath with subscript 0. The symbol may then be added before the symbol of the variable quantity in order to denote the deviation. Example: uUu +=0EN 60027-6:2007 6 Item num-ber Entry number in IEV 1)Item number in ISO2)Item number in IEC
36、60027-1 Name of quantity Sym-bol Remarks 1.01 351-21-06 input variable; input variable components juu,j = 1, 2, 3, , r For r input variables at vector notation the input variable vector is ruuu ,.,21=ruuu#21u 1.02 351-21-07 output variable; output variable components jvv,j = 1, 2, 3, , s The symbol
37、v is a Latin “vee”. For s output variables at vector notation the output variable vector is svvv .,21 =svvv#21v 1.03 351-21-08 state variable; state variable components jxx,j = 1, 2, 3, ., n For n state variables at vector notation the state variable vector is nxxx .,21=nxxx#21x 1.04 101-14-08 3-15.
38、1 18 frequency f 1.05 351-24-24 3-13 24 time constant T, 1.06 101-14-36 3-16 13 angular frequency; pulsation f = 2 , where is frequency. f1.07 351-24-18 characteristic angular frequency 0 1.08 351-24-18 damping ratio , 0 and are parameters of a differential equation describing a second order system
39、capable of oscillating behavior as follows: uKvvv=+.02021 where u is the input variable, v is the output variable, tvvdd.= , 22ddtvv = , and K is a constant 1.09 351-24-18 eigen angular frequency; angular frequency of damped oscillation d 20d1 = where is the characteristic angular frequency and 0 is
40、 the damping ratio. 1.10 101-14-20 3-23 26 damping coefficient 0 = , where is the characteristic angular frequency and 0 is the damping ratio. 1.11 3-15.2 19 rotational frequency n 1.12 351-24-37 5-43 103 phase difference 1)Entry numbers starting with 351 refer to IEC 60050-351, Edition 3 . 2)Item n
41、umbers starting with 3 refer to ISO 80000-3:2006 Item numbers starting with 5 refer to ISO 31-5:1992. 7 EN 60027-6:2007 5 General functions Table 2 General functions Item No. in IEC 60027-1 Item num-ber Entry number in IEV 3)Item number in ISO 31 Name and diagram of function Sym-bol Remarks 953 2.01
42、 101-13-06 11-7-21 Dirac function; unit pulse; unit impulse (US)Instead of triangle any other shape with area 1 is possible, too )( t =0for10for0ttThe value of the unit-step function may remain undefined or may be defined according to the context )( 02.03 351-24-19 unit-pulse response; unit-impulse
43、response (US); weighting function )(tg )(s and are the Laplace transforms of and , respectively. is the transfer function of the transfer element or system, likewise )(sG)( t )(tg)(sG2.04 351-24-21 unit-step response )(th )(s , ss1 )( = , , and are the Laplace transforms of , , and respectively. is
44、the transfer function of the transfer element or system, likewise )(sG )(sH)( t )( t )(tg )(th)(sG 3)See footnote 1). EN 60027-6:2007 8 Characteristic quantities of the step response Table 3 Characteristic quantities of the step response Item num-ber Entry number in IEV 4)Name of quantity Symbol Rem
45、arks 3.01 351-24-27 equivalent time constant bT 3.02 351-24-26 equivalent dead-time eT 3.03 351-24-28 step response time srT 3.04 351-24-29 settling time sT 3.05 351-24-30 overshoot mv The symbol is a Latin “vee”. This entry should only determine the subscript. The main symbol should always be that
46、of the quantity of which the overshoot is meant v 4)See footnote 1. 9 EN 60027-6:2007 6 Mapping functions and their variable quantities Table 4 Mapping functions and their variable quantities NOTE 1 Instead of variable quantities, normally the shorter term variables is used (see IEC 60050-351). NOTE
47、 2 The quantities and functions listed in this table are complex ones. Their symbols may be underlined. If underlined symbols are used for complex quantities, the non-underlined symbol will be used for the modulus, but to avoid misinterpretation, it is recommended to use the underlined symbol writte
48、n between vertical lines for the modulus. If non-underlined symbols are used for complex quantities, the modulus has to be represented by the non-underlined symbol written between vertical lines. NOTE 3 If no ambiguity can result from this, the quantity mapped may be symbolized by a lower case lette
49、r and the quantity resulting from mapping may be symbolized by the capital letter related to the symbol of the respective quantity. Example: U(s)=Lu(t) Item number Entry number in IEV 5)Name of quantity or function Chief symbol Reserve symbol Remarks 4.01 mapping variable quantity of Laplace transformation ps, j+=s The mappin
