AN1931D Freescale Semiconductor / Motorola, AN1931D Datasheet - Page 13
AN1931D
Manufacturer Part Number
AN1931D
Description
3-Phase PM Synchronous Motor Vector Control
Manufacturer
Freescale Semiconductor / Motorola
Datasheet
1.AN1931D.pdf
(56 pages)
- Current page: 13 of 56
- Download datasheet (885Kb)
MOTOROLA
3.3.3.2 Transformation from
To transfer the graphical representation into mathematical language:
In most cases, the 3-phase system is symmetrical, which means that the sum of the phase quantities is
always zero.
The constant “K” can be freely chosen and equalizing the
recommended. Then:
We can fully define the Park-Clarke transformation:
Vector Control is performed entirely in the d-q coordinate system to make the control of PM
synchronous motors elegant and easy; see
Of course, this requires transformation in both directions and the control action must be transformed
back to the motor side.
First, establish the d-q coordinate system:
Then transform from
=
2
-- -
3
0
=
------ -
–
1
1
-- -
3
3
K a
Freescale Semiconductor, Inc.
–
3-Phase PM Synchronous Motor Vector Control
–
to d-q coordinates:
------ -
d
q
For More Information On This Product,
1
-- -
3
1
–
3
1
-- - b
2
=
a
b
c
=
–
–
M
cos
sin
cos
1
-- - c
2
=
K
sin
Go to: www.freescale.com
to d-q Coordinates and Backwards
=
=
a
Field
Field
=
1
0
Field
a
Field
+ +
Section
M
b
------ -
a
=
–
=
2
K
cos
1
-- -
2
sin
3
+ +
---------- -
+
-----------
c
=
b
M
Md
M
–
Md
3.3.2.
=
–
------ -
2
-- -
3
Field
M
Field
1
-- -
2
2
0
c
3
=
a
b
c
0
=
=
1
0
K
-quantity and a-phase quantity is
3
-- - a
2
------ -
0
1
3
–
------ -
0
1
3
Target Motor Theory
a
b
c
(EQ 3-22.)
(EQ 3-23.)
(EQ 3-24.)
(EQ 3-25.)
(EQ 3-26.)
(EQ 3-27.)
(EQ 3-28.)
13
Related parts for AN1931D
Image
Part Number
Description
Manufacturer
Datasheet
Request
R
Part Number:
Description:
An Overview og the Phase Locked Loop
Manufacturer:
Philips
Datasheet:
Part Number:
Description:
AN OVERVIEW OF THE LPC FLASH INTERFACE
Manufacturer:
STMicroelectronics
Part Number:
Description:
An Evaluation System Interfacing the MPX2000 Series Pressure Sensors to a Microprocessor
Manufacturer:
Motorola / Freescale Semiconductor
Part Number:
Description:
An FM-IF system for DECT and other high speed GFSK applications
Manufacturer:
Philips Semiconductors / NXP Semiconductors
Part Number:
Description:
An 8 x 8 Discrete Cosine Transform on the StarCore SC140/SC1400 Cores
Manufacturer:
Freescale Semiconductor / Motorola
Part Number:
Description:
An Overview of the HCS12 ATD Module
Manufacturer:
Freescale Semiconductor / Motorola
Part Number:
Description:
An Introduction to the External Bus Interface on the HCS12X
Manufacturer:
Freescale Semiconductor / Motorola
Part Number:
Description:
An RF Data Link Using Tango3 and Romeo2 RF Modules
Manufacturer:
Freescale Semiconductor / Motorola
Part Number:
Description:
IC POWER SUPPLY MULT-OUT 44-HSOP
Manufacturer:
Freescale Semiconductor
Datasheet:
Part Number:
Description:
IC POWER SUPPLY MULT-OUT 54-SOIC
Manufacturer:
Freescale Semiconductor
Datasheet:
Part Number:
Description:
Low-Cost 16-Bit DSP with DDR Controller
Manufacturer:
Freescale Semiconductor / Motorola
Part Number:
Description:
Low-Cost 16-bit DSP with DDR Controller and 10/100 Mbps Ethernet MAC
Manufacturer:
Freescale Semiconductor / Motorola
Datasheet:
Part Number:
Description:
Low-Cost 16-bit DSP with DDR Controller and 10/100 Mbps Ethernet MAC
Manufacturer:
Freescale Semiconductor / Motorola
Datasheet:
Part Number:
Description:
Low-Cost 16-bit DSP with DDR Controller
Manufacturer:
Freescale Semiconductor / Motorola
Datasheet:
Part Number:
Description:
Functional Pin Difference Between the MSC8101 and MPC8260 Communications Processor Modules
Manufacturer:
Freescale Semiconductor / Motorola