Applications of Electrical Resolvers
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Downloaded from http://www.everyspec.com MI1-HDBK-218 1 June 1952 DEPARTMENT OF THE ARMY TM 700-5990-1 MILITARY STANDARDIZATION HANDBOOK APPLICATIONS OF ELECTRICAL RESOLVERS m Downloaded from http://www.everyspec.com HEADQUARTERS, DEPARTMENT OF THE ARMY WAS1llNGTOS.25,D,C.,17 ~U@ 1.96%’ T.M 700-5990-1ispublishedfortl]eme of Illconcerned. IIYORDEROF THE SECRET+W OF ml~ AImY: “G.H. DECKER, (+xwa[,UnitedStatexArmy, WJici,l]:~ Clli.fof.Staff. .J.C. Ii.iMBERT, ., Major (%wnd, UnitedStatesArmy, TILe.4djutmtGeneral, ● Downloaded from http://www.everyspec.com M1’L-ROBK-218 ● 1 June 1962 DEFENSE SUPPLY AGENCY WASRTNGT2N 25, D.C. I MIL-RDBK Appliostionsof Electrical Reeolvers 1. This handbook hae been approved by the Department of Defense for uee by the Departmentsof the Arqy, the Navy, and the Air Force. I 2. Th accordancewith establishedprocedure,the Standardization Division has designatedOrdnance Corps, &reau of Naval Weapons, and Air Reeearch and Development Comnand, respectively,ae Aq-Navy-Air Force CuL+tOdimSof this handbook. 3. This handbook ie intended ae a guide to promote use of standards end etendardpractioes in the applicationof electrical resolversby the Departments of the Army, the Navy, end the Air Force. b. Recommendedcorrections,additions,or deletioneshould be addressed to the StandardizationDivision, Defense Supply Agency, Washington 25, D.C. ● Downloaded from http://www.everyspec.com MCL-WDBK-218 ,0 1 June 1962 I FOREWORD ,- This hemdbook is intended to help implementthe Department of Eefense standardizationprogrsm as it affects precision electricalreaolwn%. Re- solvers, their designationsewi terminologies,are defined in accordance ,. with militery specificati0n9. With eventual complianceby manufacturersto the proposed specifications,this handbook should serve as a guide to the standardizationof resolver applicationsand practices;to this end, the I fundamentalsand tlheoryof resolvers are briefly reviewed,providing engi- neers end designerswith a convenientreferenceto the mltiple capabilities of the resolver. I ● . I iii Downloaded from http://www.everyspec.com MIL-RDBK-218 ● 1 June 1962 i CONTKNTS 1 DESCRIPTION 1 1.1 SCOFR OF RANDBOOK 1 1.2 DEFINITIONOF A PJ+SOLVER 1 1.3 CONSTRUCTIONOF A RESOLVKR 1 1.3.1 General. 1 1.3.2 Housing 1 1.3.3 Stator 1 1.3.4 Rotor 1.3.4.1 Ball Bearings 1.3.4.2 Lubricants 1.3.5 Distributionof Windings 1.3.6 CompensatorComponents 2 FUNDAMENTALS 5 2.1 GENERAL 5 2.2 RESOLVER EMPI.OYM?JIT 5 ,, 2.3 RESOLVER ZERO 7 2.3,1 Rotor-Exeited Resolvers 7 2.3.2 Stator-ExcitedResolvers 7 2.4 BASIC OPERATION 8 2.4.1 Two-WindingResolver 8 2.4.2 Three-WindingResolver 9 2.4.3 Four-WindingResolver 9 THEORY OF OFERATION 11 GENXRAL 1-1. 3.2 RESOLVER EQUIVALENT CIRCUIT 11 I FRINCIPALTYPES OF INFJTS 12 3:.1 Resolver Used for IiataTransmission 12 3.3.2 Resolver Used as a ComputingDevice 12 3.3.2.1 Sine-WaveVoltages in Phase 12 3.3.2.2 Sine-WaveVoltages Shifted 90 Degrees 12 3.3.2.3 Square-WaveVoltages 12 3.3.2.4 Sawtooth Voltages 12 3.4 STA’IX)RAND ROIOR R2SISTANCFS 12 v Downloaded from http://www.everyspec.com MIL-HTISK-218 1 June 1962 RESOLVER ERROR 13 ;:; .1 Function Error 13 3.5.2 InteraxisError 14 3.5.3 ProportionalVoltage Error 14 3.6 ROTOR ELECTRICALBAL4NCE 14 3.7 WINDING COM.FENSATION 14 3.7.1 Schematic Circuit 14 3.7.2 Equivalent Circuit 15 3.7.3 Phase Relations 15 CONSIDERATIONSOF F&50LVSR LoADING 17 %1 Resistive emd CapacitiveLoading 17 3.9 EFFECT OF TEMPERATORE 17 3.10 WINDIIKISWITROUT COMPENSATION 17 3.10.1 Phase Shift Iue to TemperatureVariations 17 3.10.2 TransformationRatio Xe to TemperatureVariations 17 b 3.11 TRANSFORMATIONRATIO 18 ● 3.12 TEMPERATURECOMPENSATION 18 3.12.1 Current Feedback 18 3.12.2 Effect of Loading 19 3.13 FREQUENCY RESPONSE 19 3.13.1 Stator-to-RotorResponse lg 3.13.2 Stator-to-CompensatorRes~nse 20 3.13.3 Carrier OperationsWith Winding Compensation 20 3.13.k Carrier Operatfons Without Winding Compensation 20 3.14 NULL VOLTAGE 20 3.15 HARMONIC DI.W)RTION 21 3.16 EFFECTS OF DIRECT CURRENT 21 3.17 !&?i?aTINGPROCEWRES 21 3.17.1 General 21 3.17.1.1 Mechanical.Positioningof Rotor a 3.17.1.2 Test Circuit 21 3.17.2 Tmnsform.atlonRatio 21 3,17.3 Ehction Error ‘ 2’2 3.17.4 Null Voltage 22 3.17.5 Phase Shift 22 3.~7.6 Frequency Response 22 0 vi Downloaded from http://www.everyspec.com MIL-HDSK-218 1 June 1962 4 APPLICATIONS 24 4.1 GENZRAL 24 4.2 TYPICAL SYSTE~ 24 4.2.1 Automatic Control Syaterns 24 4,2.1.1 She Computation 24 4,2.1.2 Conversion0? Polar Coordinates 25 4.2.1.3 Vector Addition 25 ,. 4.2.1.4 Conversionof Rectwgul.arCoordinates 25 4.2.2 Analog Computers 25 4,2.2.1 ReciprocalOperation 27 4.2.2.2 Rotation of RectangularCoordinates 2a 4,2.3 Data Transmission 29 4.2.4 Phase Shifters 4.2.5 Radar Sweep Resolution : 5 TYPICAL SYNCHRO RESOLVERS 33 5.1 GEiW+AL 33 5.2 RESOLVERWITH ‘IWOEXCITED STATOR WINDINGS CONNEC’IRD 33 IN SERIES AND TWO RCTOR WINDINGS 5.2.1 Function 33 “o 5.2.2 Systems in Which Employed 33 5.3 RESOLVER WITH ‘IWOEXCITED ROTOR WINDINGS CONNECTED .33 IN SERIES AND TWO STATOR WINDINGS 5.3.1 Iluu?cion 35 5.3.2 Systems in Which Employed 35 5.4 RXSOLVER WITH ONE EXCITED STATOR WINDING, OM SHORTED 36 STATOR WINDING, A COMPENSATINGRESISTOR,AND TWO ROTOR WINDING-S 5.4.1 Fnnction 36 5.4.2 Systems in Which Employed 36 1. ?, 5.5 RESOL~ WITH TWO EXCITED S!l!ATORWINIXINGSAND ‘IWOROTOR WINDINGS d 5.5.1 FLlnction 1- 5.5.2 Systems in Which Employed 36 I 37 5.6 ~, RFSOLVER WITH TWO EXCITED S’IA!TORWIl,YDINr~, TWO COMPENSATINGWINDINGS, AND ‘IWOROTO,RW“~~l~ 37 1. 5.6.1 Punction ~ 5.6.2 Systems in Which Employed :; 0,. Downloaded from http://www.everyspec.com MIL-RDBK-218 1 June 1962 5.7 RESOLVER WITH TWO EXCITED STATOR WIWDINGS, TWO COMPENSATINGRESISTOFS, AND ‘IWOROTOR WINDINGS 5.7..1 Function 5.7.2 Systems in Which Employed 6 PERFOF.MAWZSPECIFICATIONS 39 - 6.1 GEN-SBAL 39 6.2 CLASSIFICATION 6.2.1 Size ;; “ 6.2.2 Function 39 6.2.3 Input Impedance 39 6.2.4 me of Compensation 39 6.2.5 ExcitationFrequency 39 6.2.6 Modification 39 6.,2.7 Other Designation 39 6.3 MODE OF EXCITATION 39 6.4 DIRECTION OF ROTATION 4C 6.5 INFUT VOLTAGE 40 ● 6.6 INFIJICURRENT 40 6,7 INPOT KIWER 6.8 D-C RESISTANCE 6.9 TBANBFORM4TIONRATIO 6.9.1 Equality of the TransformationRatio 6.10 NOMINAL PRPJ3ES~ 6.10.1 Phase Shift Variation Caused By Rotation or Voltage Variation 6.11 INTERAXE ERROR 41 6.12 FUNDAMENTALNOLL VOLTAGE 41 “ 6.I.3 TOTAL NULL VOLTAGE 41 6.14 FUNCTION ERROR 41 6.15 VOLTAGE ZERO SIUFT ,NULLSPACING 41 viii Downloaded from http://www.everyspec.com Ml_L-HGRK-218 1 June 1962 6.16 FREQOENCYZERO ssmr OF NULL SPACING 42 6.17 FRICTION TORQUE 42 6.18 BRUSH CONTACT RESISTANCE 42 1. 6.~9 TEMFERATURKRISE 42 6.20 42 ~: ‘ 6.21 WEIGRT 42 6.22 INSULATIONRESISTANCE 43 ~. 7 INSTALLATION 44 ?.1 GENERAL 44 7.2 PRECAOT!IOM 44 7.3 DIRE(?TMOUNTING PROM TERMINW BOARD END 4J+ ● 7.4 MOUNTING FROM SHAFT END, USING ADAPIER ASSEMSLY 44 7.5 MOIJiTCINGFROM TERMINAL ROARD END, USING ADAPI!ERASSEMSLY 46 7.6 MOUNTING FROM SRAFT END, USING AIMUBTA.BLECIAMPING DISK ASSEMBLY 46 7.7 MOUNTING FROM TEPJICNAT-BOARD END, USING ZEROING RING 47 t 7.8 MOUMTNG A GEAR ON A R2i30LvER5HAFT 47 7.9 ELWTRICAL CONNECWI.ON, 49 1 ~ 8 PREFERRED OR STANTMRD HARI?JAFJ? 50 8.1 GENERAL 50 8.2 CI&@HTG ASSEMSLY w ,: “ 8.3 CIAM?ING DISK ASSEMSLY 50 8.4 GEARED-mR ADAPTER ,- l:’ 8.5 ZEROING RIIW2 8.6 PINION WRENC~ 51 1- e,. ix 1 — Downloaded from http://www.everyspec.com MIL-RDBK-218 1 June 1962 FIGURES Figure Page 1 1 ElectricalResolver,Assembled 2 1= 2 Major Componentsof an Electrical Resolver 3 Stator and Rotor Laminations 3 ; StandardizedFour-WindingResolver, Schematic Diagram 5 Vector Diagrsmm for Stsndardized Resolvers 1’ 2 Two-WindingResolver, Schematic Diagrzm ‘ : 7 Three-WindingResolver, Schematic Diagram 9 8 Four-WindingResolver, Schematic Diagram 10 9 Standard Resolver Equivalent Circuit 11 Lo 1 Typical Angular Error in Resolver Shaft Rotation 13 l-l Resolver with Winding-CompensatedStator, 15 Schematic Diagram 12 Equivalent Circuit for Resolver with CompensatingWinding 16 13 Test Circuit for Measuring TransformationRatio, 18 I Function Error, Null Voltage, and Phase Shift 14 Typical Resolver Frequency Response 19 15 Right-TriangleComputationswith ~ Three-WindingResolver 24 16 Vector Addition and CoordinateConversionwith a 26 I g Four-WindingResolver 1’7 ReciprocalFunctions with a Three-WindingResolver 27 18 Rotation of Rectsng.da.rCoordinates 28 19 Data Transmission 29 , 20 Phase Shifting with a Four-WindingResolver a Frequency Response for a Widebemd Resolver z 22 Radar Range Sweep Resolutionwith a Four-WindingResolver 32 23 Resolver with TWO Excited Stator Windings Connected in 34 ~ Series end Two Rotor WWiings Connected in Series 24 Resolver with Two Excited Rotor Windings Connected in 34 Series and Two Stator Windings 25 RepresentativeControl System for Prscision Bombing 35 1- = 26 Resolver with One Excited Stator Winding, One Shorted 36 Stator Winding, a CompensatingResistor, snd Two Rotor Windings 27 Resolver with Two Exciter Stator Windings and TWO 37 Rotor Windings ~. 1’ “ 28 Resolver with Two Excited Stator Windings, TWO CompensatingWindings, and Two Rotor Windifigs 29 Resolver with Two Excited Stator Windings, Two 38 CompensatingResistors,and Two Rotor Windings ! 30 Resolver Mounted Directly from Terminal Board End 45 31 Resolver Mounted with Adapter Aesersblyfrom Shaft End 32 Resolver Mounted with Adapter Assembly from Terminal 2 Board End ‘a xi Downloaded from http://www.everyspec.com MIL-HDBK-218 1 June 1962 Figure Page 33 Resolver Moumted with Clamping Disk from Shaft End 47 34 Resolver Mounted with Zeroing Ring from Terminal 48 Board End 35 Mounting of Gear on Resolver Shaft with Adapter 36 Clamp Assemblies Adjustable Disk Assembly 3 Geared-ToothAdapter Zeroing Ring % Pinion Wrenches 41 Socket Wrench 42 Shaft Hardware ● xii Downloaded from http://www.everyspec.com MIL-HDBK-218 1 June 1962 I SECTION 1 DESCRIPITON 1.1 Scope of Handbook.