Electrical machines: mathematical fundamentals of machine topologies
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2015
|
| Schriftenreihe: | Mathematical engineering
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XIII, 472 S. Ill., graph. Darst. |
| ISBN: | 9783642175831 9783662520321 |
Internformat
MARC
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| 245 | 1 | 0 | |a Electrical machines |b mathematical fundamentals of machine topologies |c Dieter Gerling |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2015 | |
| 300 | |a XIII, 472 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Mathematical engineering | |
| 650 | 0 | 7 | |a Elektrische Maschine |0 (DE-588)4014308-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Elektrische Maschine |0 (DE-588)4014308-9 |D s |
| 689 | 0 | |5 DE-604 | |
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| 856 | 4 | 2 | |m X:MVB |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=3557243&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext |
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Datensatz im Suchindex
| _version_ | 1806326855735705600 |
|---|---|
| adam_text |
CONTENTS
PREFACE V
CONTENTS VII
1 FUNDAMENTALS 1
1.1 MAXWELL'S EQUATIONS 1
1.1.1 THE MAXWELL'S EQUATIONS IN DIFFERENTIAL FORM 1
1.1.2 THE MAXWELL'S EQUATIONS IN INTEGRAL FORM 2
1.1.2.1 AMPERE'S LAW (FIRST MAXWELL'S EQUATION IN INTEGRAL FORM) 2
1.1.2.2 FARADAY'S LAW, LAW OF INDUCTION (SECOND MAXWELL'S EQUATION IN
INTEGRAL FORM) 3
1.1.2.3 LAW OF DIRECTION 4
1.1.2.4 THE THIRD MAXWELL'S EQUATION IN INTEGRAL FORM 4
1.1.2.5 THE FOURTH MAXWELL'S EQUATION IN INTEGRAL FORM 4
1.1.2.6 EXAMPLES FOR THE AMPERE'S LAW (FIRST MAXWELL'S EQUATION IN
INTEGRAL FORM) 5
1.1.2.7 EXAMPLES FOR THE FARADAY'S LAW (SECOND MAXWELL'S EQUATION IN
INTEGRAL FORM) 7
1.2 DEFINITION OF POSITIVE DIRECTIONS 14
1.3 ENERGY, FORCE, POWER 16
1.4 COMPLEX PHASORS 28
1.5 STAR AND DELTA CONNECTION 30
1.6 SYMMETRIC COMPONENTS 31
1.7 MUTUAL INDUCTIVITY 32
1.8 IRON LOSSES 34
1.9 REFERENCES FOR CHAPTER 1 35
2 DC-MACHINES 37
2.1 PRINCIPLE CONSTRUCTION 37
2.2 VOLTAGE AND TORQUE GENERATION, COMMUTATION 38
2.3 NUMBER OF POLE PAIRS, WINDING DESIGN 41
2.4 MAIN EQUATIONS OF THE DC-MACHINE 45
2.4.1 FIRST MAIN EQUATION: INDUCED VOLTAGE 45
2.4.2 SECOND MAIN EQUATION: TORQUE 47
2.4.3 THIRD MAIN EQUATION: TERMINAL VOLTAGE 48
VII
HTTP://D-NB.INFO/1008091324
VIII CONTENTS
2.4.4 POWER BALANCE 48
2.4.5 UTILIZATION FACTOR 49
2.5 INDUCED VOLTAGE AND TORQUE, PRECISE CONSIDERATION 51
2.5.1 INDUCED VOLTAGE 51
2.5.2 TORQUE 53
2.6 SEPARATELY EXCITED DC-MACHINES 56
2.7 PERMANENT MAGNET EXCITED DC-MACHINES 62
2.8 SHUNT-WOUND DC-MACHINES 69
2.9 SERIES-WOUND DC-MACHINES 73
2.10 COMPOUND DC-MACHINES 77
2.11 GENERATION OF A VARIABLE TERMINAL VOLTAGE 78
2.12 ARMATURE REACTION 80
2.13 COMMUTATION POLE 84
2.14 REFERENCES FOR CHAPTER 2 88
3 ROTATING FIELD THEORY 89
3.1 STATOR OF A ROTATING FIELD MACHINE 89
3.2 CURRENT LOADING 90
3.3 ALTERNATING AND ROTATING MAGNETO-MOTIVE FORCE 93
3.4 WINDING FACTOR 104
3.5 CURRENT LOADING AND FLUX DENSITY 114
3.5.1. FUNDAMENTALS 114
3.5.2. UNIFORMLY DISTRIBUTED CURRENT LOADING IN A ZONE 114
3.5.3. CURRENT LOADING CONCENTRATED IN THE MIDDLE OF EACH SLOT 115
3.5.4. CURRENT LOADING DISTRIBUTED ACROSS EACH SLOT OPENING 116
3.5.5. ROTATING AIR-GAP FIELD 116
3.6 INDUCED VOLTAGE AND SLIP 120
3.7 TORQUE AND POWER 126
3.8 REFERENCES FOR CHAPTER 3 134
4 INDUCTION MACHINES 135
4.1 CONSTRUCTION AND EQUIVALENT CIRCUIT DIAGRAM 135
4.2 RESISTANCES AND INDUCTIVITIES 141
4.2.1 PHASE RESISTANCE 141
4.2.2 MAIN INDUCTIVITY 142
4.2.3 LEAKAGE INDUCTIVITY 142
4.2.3.1 HARMONIC LEAKAGE 142
4.2.3.2 SLOT LEAKAGE 143
4.2.3.3 END WINDING LEAKAGE 145
4.3 OPERATING CHARACTERISTICS 145
4.3.1 HEYLAND-DIAGRAM (STATOR PHASE CURRENT LOCUS DIAGRAM) 145
4.3.2 TORQUE AND POWER 151
4.3.3 TORQUE AS A FUNCTION OF SLIP 154
4.3.4 SERIES RESISTANCE IN THE ROTOR CIRCUIT 157
CONTENTS IX
4.3.5 OPERATION WITH OPTIMUM POWER FACTOR 159
4.3.6 FURTHER EQUATIONS FOR CALCULATING THE TORQUE 164
4.4 SQUIRREL CAGE ROTOR 166
4.4.1 FUNDAMENTALS 166
4.4.2 SKEWED ROTOR SLOTS 170
4.4.3 SKIN EFFECT 175
4.5 POSSIBILITIES FOR OPEN-LOOP SPEED CONTROL 179
4.5.1 CHANGING (INCREASING) THE SLIP 179
4.5.2 CHANGING THE SUPPLY FREQUENCY 179
4.5.3 CHANGING THE NUMBER OF POLE PAIRS 181
4.6 STAR-DELTA-SWITCHING 182
4.7 DOUBLY-FED INDUCTION MACHINE 183
4.8 REFERENCES FOR CHAPTER 4 188
5 SYNCHRONOUS MACHINES 189
5.1 EQUIVALENT CIRCUIT AND PHASOR DIAGRAM 189
5.2 TYPES OF CONSTRUCTION 195
5.2.1 OVERVIEW 195
5.2.2 HIGH-SPEED GENERATOR WITH CYLINDRICAL ROTOR 196
5.2.3 SALIENT-POLE GENERATOR 196
5.3 OPERATION AT FIXED MAINS SUPPLY 196
5.3.1 SWITCHING TO THE MAINS 196
5.3.2 TORQUE GENERATION 198
5.3.3 OPERATING AREAS 200
5.3.4 OPERATING LIMITS 203
5.4 ISOLATED OPERATION 205
5.4.1 LOAD CHARACTERISTICS 205
5.4.2 CONTROL CHARACTERISTICS 207
5.5 SALIENT-POLE SYNCHRONOUS MACHINES 209
5.6 REFERENCES FOR CHAPTER 5 217
6 PERMANENT MAGNET EXCITED ROTATING FIELD MACHINES 219
6.1 ROTOR CONSTRUCTION 219
6.2 LINESTART-MOTOR 220
6.3 ELECTRONICALLY COMMUTATED ROTATING FIELD MACHINE WITH SURFACE
MOUNTED
MAGNETS 220
6.3.1 FUNDAMENTALS 220
6.3.2 BRUSHLESS DC-MOTOR 222
6.3.3 ELECTRONICALLY COMMUTATED PERMANENT MAGNET EXCITED SYNCHRONOUS
MACHINE 228
6.4 CALCULATION OF THE OPERATIONAL CHARACTERISTICS; PERMANENT MAGNET
EXCITED
MACHINES WITH BURIED MAGNETS 230
6.5 REFERENCES FOR CHAPTER 6 230
X CONTENTS
7 RELUCTANCE MACHINES 231
7.1 SYNCHRONOUS RELUCTANCE MACHINES 231
7.2 SWITCHED RELUCTANCE MACHINES 232
7.2.1 CONSTRUCTION AND OPERATION 232
7.2.2 TORQUE 234
7.2.3 MODES OF OPERATION 239
7.2.4 ALTERNATIVE POWER ELECTRONIC CIRCUITS 242
7.2.5 MAIN CHARACTERISTICS 244
7.3 REFERENCES FOR CHAPTER 7 244
8 SMALL MACHINES FOR
SINGLE-PHASE OPERATION 247
8.1 FUNDAMENTALS 247
8.2 UNIVERSAL MOTOR 247
8.3 SINGLE-PHASE INDUCTION MACHINE 250
8.3.1 SINGLE-PHASE OPERATION OF THREE-PHASE INDUCTION MACHINE 250
8.3.2 SINGLE-PHASE INDUCTION MOTOR WITH AUXILIARY PHASE 252
8.3.3 SHADED-POLE (SPLIT-POLE) MOTOR 253
8.4 REFERENCES FOR CHAPTER 8 254
9 FUNDAMENTALS
OF DYNAMIC OPERATION 255
9.1 FUNDAMENTAL DYNAMIC LAW, EQUATION OF MOTION 255
9.1.1 TRANSLATORY MOTION 255
9.1.2 TRANSLATORY / ROTATORY MOTION 255
9.1.3 ROTATORY MOTION 256
9.1.4 STABILITY 257
9.2 MASS MOMENT OF INERTIA 258
9.2.1 INERTIA OF AN ARBITRARY BODY 258
9.2.2 INERTIA OF A HOLLOW CYLINDER 259
9.3 SIMPLE GEAR-SETS 260
9.3.1 ASSUMPTIONS 260
9.3.2 ROTATION / ROTATION (E.G. GEAR TRANSMISSION) 260
9.3.3 ROTATION / TRANSLATION (E.G. LIFT APPLICATION) 261
9.4 POWER AND ENERGY 262
9.5 SLOW SPEED CHANGE 264
9.5.1 FUNDAMENTALS 264
9.5.2 FIRST EXAMPLE 264
9.5.3 SECOND EXAMPLE 265
9.6 LOSSES DURING STARTING AND BRAKING 267
9.6.1 OPERATION WITHOUT LOAD TORQUE 267
9.6.2 OPERATION WITH LOAD TORQUE 270
9.7 REFERENCES FOR CHAPTER 9 271
CONTENTS XI
10 DYNAMIC OPERATION
AND CONTROL OF DC-MACHINES 273
10.1 SET OF EQUATIONS FOR DYNAMIC OPERATION 273
10.2 SEPARATELY EXCITED DC-MACHINES 277
10.2.1 GENERAL STRUCTURE 277
10.2.2 RESPONSE TO SETPOINT CHANGES 278
10.2.3 RESPONSE TO DISTURBANCE CHANGES 283
10.3 SHUNT-WOUND DC-MACHINES 28'6
10.4 CASCADED CONTROL OF DC-MACHINES 288
10.5 ADJUSTING RULES FOR PI-CONTROLLERS 291
10.5.1 OVERVIEW 291
10.5.2 ADJUSTING TO OPTIMAL RESPONSE TO SETPOINT CHANGES (RULE
"OPTIMUM OF MAGNITUDE") 292
10.5.3 ADJUSTING TO OPTIMAL RESPONSE TO DISTURBANCES (RULE "SYMMETRICAL
OPTIMUM") 293
10.5.4 APPLICATION OF THE ADJUSTING RULES TO THE CASCADED CONTROL OF DC-
MACHINES 294
10.6 REFERENCES FOR CHAPTER 10 295
11 SPACE VECTOR THEORY 297
11.1 METHODS FOR FIELD CALCULATION 297
11.2 REQUIREMENTS FOR THE APPLICATION OF THE SPACE VECTOR THEORY 298
11.3 DEFINITION OF THE COMPLEX SPACE VECTOR 299
11.4 VOLTAGE EQUATION IN SPACE VECTOR NOTATION 303
11.5 INTERPRETATION OF THE SPACE VECTOR DESCRIPTION 305
11.6 COUPLED SYSTEMS 306
11.7 POWER IN SPACE VECTOR NOTATION 309
11.8 ELEMENTS OF THE EQUIVALENT CIRCUIT 313
11.8.1 RESISTANCES 313
11.8.2 INDUCTIVITIES 314
11.8.3 SUMMARY OF RESULTS 316
11.9 TORQUE IN SPACE VECTOR NOTATION 317
11.9.1 GENERAL TORQUE CALCULATION 317
11.9.2 TORQUE CALCULATION BY MEANS OF CROSS PRODUCT FROM STATOR FLUX
LINKAGE AND STATOR CURRENT 318
11.9.3 TORQUE CALCULATION BY MEANS OF CROSS PRODUCT FROM STATOR AND
ROTOR CURRENT 319
11.9.4 TORQUE CALCULATION BY MEANS OF CROSS PRODUCT FTOM ROTOR FLUX
LINKAGE AND ROTOR CURRENT 319
11.9.5 TORQUE CALCULATION BY MEANS OF CROSS PRODUCT FROM STATOR AND
ROTOR FLUX LINKAGE 320
11.10 SPECIAL COORDINATE SYSTEMS 321
11.11 RELATION BETWEEN SPACE VECTOR THEORY AND TWO-AXIS-THEORY 322
11.12 RELATION BETWEEN SPACE VECTORS AND PHASORS 323
11.13 REFERENCES FOR CHAPTER 11 324
XII CONTENTS
12 DYNAMIC OPERATION AND CONTROL OF INDUCTION MACHINES 325
12.1 STEADY-STATE OPERATION OF INDUCTION MACHINES IN SPACE VECTOR
NOTATION
AT NO-LOAD 325
12.1.1 SET OF EQUATIONS 325
12.1.2 STEADY-STATE OPERATION AT NO-LOAD 326
12.2 FAST ACCELERATION AND SUDDEN LOAD CHANGE 328
12.3 FIELD-ORIENTED COORDINATE SYSTEM FOR INDUCTION MACHINES 334
12.4 FIELD-ORIENTED CONTROL OF INDUCTION MACHINES WITH IMPRESSED STATOR
CURRENTS 344
12.5 FIELD-ORIENTED CONTROL OF INDUCTION MACHINES WITH IMPRESSED STATOR
VOLTAGES 356
12.6 FIELD-ORIENTED CONTROL OF INDUCTION MACHINES WITHOUT MECHANICAL
SENSOR
(SPEED OR POSITION SENSOR) 358
12.7 DIRECT TORQUE CONTROL 360
12.8 REFERENCES FOR CHAPTER 12 367
13 DYNAMIC OPERATION OF SYNCHRONOUS MACHINES 369
13.1 OSCILLATIONS OF SYNCHRONOUS MACHINES, DAMPER WINDING 369
13.2 STEADY-STATE OPERATION OF NON SALIENT-POLE SYNCHRONOUS MACHINES IN
SPACE VECTOR NOTATION 374
13.3 SUDDEN SHORT-CIRCUIT OF NON SALIENT-POLE SYNCHRONOUS MACHINES 381
13.3.1 FUNDAMENTALS 381
13.3.2 INITIAL CONDITIONS FOR T = 0 381
13.3.3 SET OF EQUATIONS FOR T 0 383
13.3.4 MAXIMUM VOLTAGE SWITCHING 390
13.3.5 ZERO VOLTAGE SWITCHING 394
13.3.6 SUDDEN SHORT-CIRCUIT WITH CHANGING SPEED AND ROUGH
SYNCHRONIZATION 395
13.3.7 PHYSICAL EXPLANATION OF THE SUDDEN SHORT-CIRCUIT 400
13.4 STEADY-STATE OPERATION OF SALIENT-POLE SYNCHRONOUS MACHINES IN
SPACE
VECTOR NOTATION 402
13.5 SUDDEN SHORT-CIRCUIT OF SALIENT-POLE SYNCHRONOUS MACHINES 410
13.5.1 INITIAL CONDITIONS FOR T = 0 410
13.5.2 SET OF EQUATIONS FOR T 0 412
13.6 TRANSIENT OPERATION OF SALIENT-POLE SYNCHRONOUS MACHINES 415
13.7 REFERENCES FOR CHAPTER 13 423
14 DYNAMIC OPERATION AND CONTROL OF PERMANENT MAGNET EXCITED ROTATING
FIELD MACHINES 425
14.1 PRINCIPLE OPERATION 425
14.2 SET OF EQUATIONS FOR THE DYNAMIC OPERATION 426
14.3 STEADY-STATE OPERATION 432
14.3.1 FUNDAMENTALS 432
14.3.2 BASE SPEED OPERATION 432
CONTENTS XIII
14.3.3 OPERATION WITH LEADING LOAD ANGLE AND WITHOUT MAGNETIC
ASYMMETRY 434
14.3.4 OPERATION WITH LEADING LOAD ANGLE AND MAGNETIC ASYMMETRY. 436
14.3.5 TORQUE CALCULATION FROM CURRENT LOADING AND FLUX DENSITY 438
14.4 LIMITING CHARACTERISTICS AND TORQUE CONTROL 440
14.4.1 LIMITING CHARACTERISTICS 440
14.4.2 TORQUE CONTROL 442
14.5 CONTROL WITHOUT MECHANICAL SENSOR 446
14.6 REFERENCES FOR CHAPTER 14 447
15 CONCENTRATED WINDINGS 449
15.1 CONVENTIONAL CONCENTRATED WINDINGS 449
15.2 IMPROVED CONCENTRATED WINDINGS 453
15.2.1 INCREASED NUMBER OF STATOR SLOTS FROM 12 TO 24 453
15.2.2 INCREASED NUMBER OF STATOR SLOTS FROM 12 TO 18 460
15.2.3 MAIN CHARACTERISTICS OF THE IMPROVED CONCENTRATED WINDINGS 461
15.3 REFERENCES FOR CHAPTER 15 462
16 LISTS OF SYMBOLS, INDICES AND ACRONYMS 463
16.1 LIST OF SYMBOLS 463
16.2 LIST OF INDICES 467
16.3 LIST OF ACRONYMS 470
INDEX 471 |
| any_adam_object | 1 |
| author | Gerling, Dieter 1961- |
| author_GND | (DE-588)1287037747 |
| author_facet | Gerling, Dieter 1961- |
| author_role | aut |
| author_sort | Gerling, Dieter 1961- |
| author_variant | d g dg |
| building | Verbundindex |
| bvnumber | BV041581702 |
| classification_rvk | ZN 8210 |
| classification_tum | ELT 830 |
| ctrlnum | (OCoLC)897409066 (DE-599)DNB1008091324 |
| dewey-full | 621.317 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.317 |
| dewey-search | 621.317 |
| dewey-sort | 3621.317 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Elektrotechnik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| id | DE-604.BV041581702 |
| illustrated | Illustrated |
| indexdate | 2024-08-03T01:12:08Z |
| institution | BVB |
| isbn | 9783642175831 9783662520321 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027026949 |
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| owner_facet | DE-29T DE-703 DE-91 DE-BY-TUM DE-706 |
| physical | XIII, 472 S. Ill., graph. Darst. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| series2 | Mathematical engineering |
| spelling | Gerling, Dieter 1961- Verfasser (DE-588)1287037747 aut Electrical machines mathematical fundamentals of machine topologies Dieter Gerling Berlin [u.a.] Springer 2015 XIII, 472 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematical engineering Elektrische Maschine (DE-588)4014308-9 gnd rswk-swf Elektrische Maschine (DE-588)4014308-9 s DE-604 Erscheint auch als Online-Ausgabe 978-3-642-17584-8 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3557243&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027026949&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gerling, Dieter 1961- Electrical machines mathematical fundamentals of machine topologies Elektrische Maschine (DE-588)4014308-9 gnd |
| subject_GND | (DE-588)4014308-9 |
| title | Electrical machines mathematical fundamentals of machine topologies |
| title_auth | Electrical machines mathematical fundamentals of machine topologies |
| title_exact_search | Electrical machines mathematical fundamentals of machine topologies |
| title_full | Electrical machines mathematical fundamentals of machine topologies Dieter Gerling |
| title_fullStr | Electrical machines mathematical fundamentals of machine topologies Dieter Gerling |
| title_full_unstemmed | Electrical machines mathematical fundamentals of machine topologies Dieter Gerling |
| title_short | Electrical machines |
| title_sort | electrical machines mathematical fundamentals of machine topologies |
| title_sub | mathematical fundamentals of machine topologies |
| topic | Elektrische Maschine (DE-588)4014308-9 gnd |
| topic_facet | Elektrische Maschine |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3557243&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027026949&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT gerlingdieter electricalmachinesmathematicalfundamentalsofmachinetopologies |