Angular Position Determination Using Iterative Subtraction
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Solution Overview
Problem
Existing methods for determining angular position are prone to systematic errors due to manufacturing inaccuracies and external influences, and require complex calculations, making them unreliable and inefficient.
Innovation Solution
A method that involves determining factors from angular position signals, forming products, subtracting these products, and comparing the results to a quantity, which can be implemented using simple integrated circuits, allowing for fast and economical angular position determination with iterative successive approximation to achieve precise results.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the arc tangent function is used to calculate angular position from sensor signals, then the angular position can be determined, but the calculation becomes complex and cannot be performed by simple evaluation circuits
Solution Approach 1:
The patent transforms the calculation from using the arc tangent function to using an iterative successive approximation method with lookup tables. By changing the computational parameters and approach, the system achieves the same measurement precision while enabling implementation with simple evaluation circuits that perform basic comparisons and table lookups instead of complex trigonometric calculations
2Measurement precision
If the arc tangent function calculation is used, then angular position can be determined, but the calculating effort increases significantly
Solution Approach 1:
The patent pre-calculates and stores angular position values in lookup tables during the initialization phase. During operation, the system performs rapid table lookups and comparisons instead of computing arc tangent in real-time. This preliminary action transfers the computational burden from runtime to setup time, dramatically increasing calculation speed while maintaining precision
3Measurement precision
If systematic errors in sensor signals are present, then measurement accuracy decreases, but the conventional formula does not provide a way to detect or correct these errors
Solution Approach 1:
The patent implements an iterative successive approximation method where each iteration refines the angular position estimate by comparing the calculated value with the target value and adjusting accordingly. This feedback mechanism allows the system to compensate for systematic errors in sensor signals, as the iterative process converges to the correct angular position even when initial sensor readings contain errors
Data Source
AI summary
A method for determining angular position, which removes a systematic error in the angular position determination and requires a low calculating effort, by determining a first factor and a second factor as a function of an angular position, forming a first product from a first signal and the first factor, and a second product of the second signal and the second factor, forming a subtraction result by the subtraction of the second product from the first product, and comparing the subtraction result to a quantity.