SLUU885C March   2012  – June 2024 UCD3138 , UCD3138064 , UCD3138064A , UCD3138128 , UCD3138A , UCD3138A64

 

  1.   1
  2.   2
  3.   Abstract
  4. 1 Introduction
  5. 2 Description
    1. 2.1 Typical Applications
    2. 2.2 Features
  6. 3 Electrical Performance Specifications
  7. 4 Schematics
  8. 5 Test Setup
    1. 5.1 Test Equipment
    2. 5.2 Recommended Test Setup
  9. 6 List of Test Points
  10. 7 List of Terminals
  11. 8 Test Procedure
    1. 8.1 Efficiency Measurement Procedure
    2. 8.2 Equipment Shutdown
  12. 9 Performance Data and Typical Characteristic Curves
    1. 9.1 Efficiency
    2. 9.2 Power Factor
    3. 9.3 Total Harmonic Distortion (THD)
    4. 9.4 Input Current at 230 VAC and 50 Hz
    5. 9.5 Output Voltage Ripple
    6. 9.6 Output Turn On
    7. 9.7 Total Harmonic Distortion (THD)
    8. 9.8 Other Waveforms
  13. 10EVM Assembly Drawing and PCB Layout
  14. 11List of Materials
  15. 12Digital PFC Description
    1. 12.1  1PFC Block Diagram
      1. 12.1.1 Single-Phase PFC Block Diagram
      2. 12.1.2 2-Phase PFC Block Diagram
      3. 12.1.3 Bridgeless PFC Block Diagram
    2. 12.2  UCD3138 Pin Definition
      1. 12.2.1 UCD3138 Pin Definition in Single-Phase PFC
      2. 12.2.2 UCD3138 Pin Definition in 2-Phase PFC
      3. 12.2.3 UCD3138 Pin Definition in Bridgeless PFC
    3. 12.3  EVM Hardware – Introduction
      1. 12.3.1 PFC Pre-Regulator Input
      2. 12.3.2 PFC Power Stage
      3. 12.3.3 Non-Isolated UART Interface
      4. 12.3.4 Isolated UART Interface
      5. 12.3.5 Interface Connector of Control Card
      6. 12.3.6 UCD3138 Resource Allocation for PFC Control
    4. 12.4  EVM Firmware – Introduction
      1. 12.4.1 Background Loop
      2. 12.4.2 Voltage Loop Configuration
      3. 12.4.3 Current Loop Configuration
      4. 12.4.4 Interrupts
    5. 12.5  State Machine
    6. 12.6  PFC Control Firmware
    7. 12.7  System Protection
      1. 12.7.1 Cycle-by-Cycle Current Protection (CBC)
      2. 12.7.2 Over-Voltage Protection (OVP)
    8. 12.8  PFC System Control
      1. 12.8.1 Average Current Mode Control
      2. 12.8.2 ZVS and Valley Control
    9. 12.9  Current Feedback Control Compensation Using PID Control
      1. 12.9.1 Loop Compensation from Poles and Zeros in s-Domain
      2. 12.9.2 Feedback Loop Compenstaion Tuning with PID Coefficients
      3. 12.9.3 Feedback Loop Compensation with Multiple-Set of Parameters
    10. 12.10 Voltage Feedback Loop
  16. 13Evaluating the Single-Phase PFC with GUI
    1. 13.1 Graphical User Interface (GUI)
    2. 13.2 Open the Designer GUI
    3. 13.3 Overview of the Designer GUI
      1. 13.3.1 Monitor
      2. 13.3.2 Status
      3. 13.3.3 Design and Configure
  17. 14Monitoring, Re-configuring and Re-tuning with Designer GUI
    1. 14.1 Power On and Test Procedure
    2. 14.2 Monitoring with GUI
    3. 14.3 Configuration and Re-configuring with GUI
    4. 14.4 Feedback Control Loop Tuning and Re-Tuning with GUI
      1. 14.4.1 Current Loop Evaluation
      2. 14.4.2 Current Loop Re-Tuning
      3. 14.4.3 Voltage Loop Evaluation and Re-tuning
  18. 15Digital PFC Firmware Development
  19. 16References
  20. 17Revision History

12.9.1 Loop Compensation from Poles and Zeros in s-Domain

PID control in the UCD3138 CLA for current control loop in single-phase PFC is formed in the following equation in z-domain:

Equation 3.

If Equation 3 is converted to the s-domain equivalent using the bilinear transform, the result has two forms. One is with two real zeros:

Equation 4.

The two zeros can also be presented with complex conjugates and in such case,

Equation 5.

Two complex conjugate zeros are expressed as:

Equation 6.
Equation 7.
Equation 8.

The complex conjugate zeros become real zeros when:

Equation 9.

The sensing circuit in the current loop forms a low-pass filter and adds a pole to the loop:

Equation 10.
Equation 11.

The current closed-loop transfer function is then shown below:

Equation 12.

where

  • GM(s) is the transfer function of current loop before adding in PID.

The parameters can be calculated with the assumption of current sensor sampling cycle TS much smaller than the time constant of the PFC choke LB and RB, where LB is the choke inductance and RB is the choke DC resistance. Choose the sampling frequency to meet:

Equation 13.

When the above assumption is true, the delay effect from the sampling can be ignored and the parameters can be determined after we know where the poles and zeros should be positioned.

Equation 14.
Equation 15.
Equation 16.
Equation 17.