TIDUFE5 July   2025

 

  1.   1
  2.   Description
  3.   Resources
  4.   Features
  5.   Applications
  6.   6
  7. 1System Description
    1. 1.1 Terminology
    2. 1.2 Key System Specifications
  8. 2System Overview
    1. 2.1 Block Diagram
    2. 2.2 Design Considerations
    3. 2.3 Highlighted Products
      1. 2.3.1  TMS320F2800137
      2. 2.3.2  LMG3651R025
      3. 2.3.3  LMG2650
      4. 2.3.4  TMCS1126
      5. 2.3.5  ISO6721
      6. 2.3.6  UCC28881
      7. 2.3.7  UCC27712
      8. 2.3.8  TPS562206
      9. 2.3.9  TLV9062
      10. 2.3.10 TLV74033
  9. 3System Design Theory
    1. 3.1 Totem Pole PFC
      1. 3.1.1 Inductor Ratings
      2. 3.1.2 AC Voltage Sensing
      3. 3.1.3 DC Link Voltage Sensing
      4. 3.1.4 AC Current Sensing
      5. 3.1.5 DC Link Capacitor Rating
    2. 3.2 Three-Phase PMSM Drive
      1. 3.2.1 Field Oriented Control of PM Synchronous Motor
        1. 3.2.1.1 Space Vector Definition and Projection
        2. 3.2.1.2 Clarke Transformation
        3. 3.2.1.3 Park Transformation
        4. 3.2.1.4 Basic Scheme of FOC for AC Motor
        5. 3.2.1.5 Rotor Flux Position
      2. 3.2.2 Sensorless Control of PM Synchronous Motor
        1. 3.2.2.1 Enhanced Sliding Mode Observer With Phase Locked Loop
          1. 3.2.2.1.1 Mathematical Model and FOC Structure of an IPMSM
          2. 3.2.2.1.2 Design of ESMO for the IPMSM
          3. 3.2.2.1.3 Rotor Position and Speed Estimation With PLL
      3. 3.2.3 Hardware Prerequisites for Motor Drive
        1. 3.2.3.1 Current Sensing With Three-Shunt
        2. 3.2.3.2 Motor Voltage Feedback
  10. 4Hardware, Testing Requirements, and Test Results
    1. 4.1 Hardware Requirements
      1. 4.1.1 Hardware Board Overview
      2. 4.1.2 Test Conditions
      3. 4.1.3 Test Equipment Required for Board Validation
    2. 4.2 Test Setup
    3. 4.3 Test Results
      1. 4.3.1 Functional Waveforms
  11. 5Design and Documentation Support
    1. 5.1 Design Files
      1. 5.1.1 Schematics
      2. 5.1.2 Bill of Materials
      3. 5.1.3 Altium Project
      4. 5.1.4 Gerber Files
      5. 5.1.5 PCB Layout Recommendations
    2. 5.2 Tools
    3. 5.3 Documentation Support
    4. 5.4 Support Resources
    5. 5.5 Trademarks
  12. 6About the Author

3.2.1.3 Park Transformation

The next step in system design is to modify a 2-phase orthogonal system (α, β) in the (d, q) rotating reference frame. Consider the d axis aligned with the rotor flux, Figure 3-8 shows the relationship for the current vector from the two-reference frame.

TIDA-010282 Stator Current Space Vector in the d,q Rotating Reference FrameFigure 3-8 Stator Current Space Vector in the d,q Rotating Reference Frame

The flux and torque components of the current vector are determined by Equation 26.

Equation 26. isd=isαcosθ+isβsinθisq=-isαsinθ+isβcosθ

where

  • θ is the rotor flux position

These components depend on the current vector (α, β) components and on the rotor flux position; if the right rotor flux position is known, then, by this projection the d,q component becomes a constant. Two phase currents now turn into dc quantity (time-invariant). At this point the torque control becomes easier where the constant isd (flux component) and the isq (torque component) current components are controlled independently.