ESR Zero Estimation in Digitally Controlled Buck Converters

Resolve Bottlenecks,
Find Innovative Solutions
Generate Solutions

Solution Overview

Problem

In DC-DC buck converters, the output capacitor's Equivalent Series Resistance (ESR) introduces a zero in the converter's transfer function, which affects loop response and stability, but existing methods fail to accurately account for ESR variations during board design due to unknown or varying capacitor values, leading to instability and the need for iterative compensation network reconfiguration.

Innovation Solution

A method for estimating and compensating the ESR zero by measuring output voltage ripple, allowing a PID compensator to update control operations and ensure stability, using a digitally controlled buck converter with an ESR zero identification block to calculate the ESR zero frequency and update the control accordingly.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If traditional PID compensator design is used without ESR consideration, then the design process is simpler, but the system suffers from low phase margin, slow response speed, or instability

Engineering Contradiction:
Improvesystem stabilityVSAvoidcompensation network configuration
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The patent implements feedback by continuously monitoring the output voltage ripple to estimate ESR zero frequency, then using this information to dynamically adjust the PID compensator parameters. This closed-loop approach ensures the system maintains stability despite component variations without requiring manual reconfiguration.

Inventive Principle:
Principle #23Feedback

Solution Approach 2:

The system performs self-identification of ESR zero frequency and self-adjustment of compensator parameters through online measurement and automatic parameter updating. This eliminates the need for manual iterative reconfiguration by application engineers while ensuring optimal performance.

Inventive Principle:
Principle #25Self-service

2Measurement precision

If complete frequency domain identification including ESR zero is used, then ESR variations are accurately accounted for, but the method requires open-loop operation and heavy computations making it unsuitable for online operation

Engineering Contradiction:
ImproveESR zero frequency estimation accuracyVSAvoidonline operation capability
Core Design Contradiction:
Measurement precisionVSProductivity

Solution Approach 1:

The patent extracts only the essential information needed for ESR zero identification by measuring output voltage ripple during normal closed-loop operation, rather than performing complete frequency domain identification. This selective approach maintains accuracy while enabling online operation without heavy computational burden or open-loop requirements.

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

The system dynamically estimates ESR zero frequency in real-time during closed-loop operation by analyzing output voltage ripple characteristics. This dynamic approach allows continuous adaptation to component variations without requiring the system to enter open-loop mode or perform computationally intensive measurements.

Inventive Principle:
Principle #15Dynamics

3Ease of manufacture

If ESR variations due to temperature and tolerances are not considered, then the compensator design is easier, but the system becomes unstable under varying operating conditions

Engineering Contradiction:
Improvecompensator design processVSAvoidoperation under varying conditions
Core Design Contradiction:
Ease of manufactureVSAdaptability or versatility

Solution Approach 1:

The patent automatically adjusts PID compensator parameters based on real-time estimation of ESR zero frequency, which varies with temperature and component tolerances. This parameter adaptation ensures the system maintains stability and performance across different operating conditions without requiring manual redesign.

Inventive Principle:
Principle #35Parameter changes

Data Source

PatentUS8115459B2ESR zero estimation and auto-compensation in digitally controlled buck converters
Publication Date: 2012.02.14 EXAR CORP
  • US8115459B2 patent drawing
  • US8115459B2 patent drawing
  • US8115459B2 patent drawing

AI summary

One embodiment of the present invention is a digitally controlled DC-DC converter comprising of a power stage including at least one switch and an output capacitor. A digital controller can control the switching of the at least one switch. The digital controller can include logic to produce an indication related to a zero resulting from the equivalent series resistance (ESR) of the output capacitor and to update the control of the switching of the switch in the power stage based on the estimate.