Logarithmic Power Feedback Conditioning for Wind Turbine ESC
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Solution Overview
Problem
The extremum seeking control (ESC) algorithm for fluid dynamic systems, such as wind turbines, is highly sensitive to variations in wind speed due to the cubic relationship between power and wind speed, leading to inconsistent and unpredictable performance optimization.
Innovation Solution
Applying a logarithmic transformation to the measured power signal before inputting it into the ESC algorithm, decoupling the power coefficient from the power produced, thereby making the system insensitive to wind speed variations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the ESC algorithm uses direct power signal feedback for optimization, then the control system can track the maximum power point, but the performance becomes highly sensitive to wind speed variations and dramatically inconsistent
Solution Approach 1:
The patent transforms the power signal parameter by applying a logarithmic function and normalizing it, changing the mathematical representation from P to ln(P)/ln(0.5*P_rated). This parameter transformation decouples the feedback signal from direct wind speed cubed relationship, making the ESC algorithm insensitive to wind speed variations and achieving consistent performance across different operating conditions
2Productivity
If the ESC algorithm directly processes power signal without transformation, then the optimization target is clear, but the settling time varies significantly with wind speed changes
Solution Approach 1:
By applying logarithmic transformation and normalization to the power signal, the patent creates a transformed parameter that maintains optimization direction while eliminating wind speed-dependent settling time variations. The transformation ln(P)/ln(0.5*P_rated) preserves the extremum seeking capability while ensuring constant settling time across all wind speeds
Data Source
AI summary
The present disclosure provides a method and system for optimizing a control process. The method and system comprise using a sensor to generate a feedback signal that represents a measured performance index for an extremum seeking control (ESC) method and sending the feedback signal to an ESC conditioning circuit that applies a logarithmic transformation to the feedback signal to obtain a modified feedback signal. An ESC controller applies the modified feedback signal to the ESC method to generate an output value that is used to control an actuator to maximize the performance of a machine or process.