Magnetic Axis Angular Deviation Estimation
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Solution Overview
Problem
Existing methods for recording the trace of a magnetic pencil on a writing medium face precision issues due to assumed collinearity between the magnetic axis and reference axis of a permanent magnet, leading to errors from angular deviations as small as a few tenths of degrees.
Innovation Solution
A method involving positioning a magnetic object with respect to magnetometers, rotating it around its reference axis, and measuring the magnetic field to estimate the angular deviation using identified minimum and maximum magnetic fields and geometric parameters, allowing for precise calculation of the deviation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If the magnetic axis is assumed to be collinear with the reference axis, then the trace recording system is simpler to operate, but measurement precision deteriorates due to angular deviation errors
Solution Approach 1:
The patent applies preliminary action by performing an angular deviation estimation before the actual trace recording operation. The system first measures the magnetic field at multiple positions, calculates the angular deviation between the magnetic axis and reference axis, and then uses this corrected angular information for subsequent precise tracking. This preliminary characterization eliminates the need for complex real-time corrections during operation while maintaining high precision.
2Measurement precision
If the angular deviation is estimated using magnetic field measurements at multiple positions, then measurement precision improves, but device complexity increases due to additional measurement requirements
Solution Approach 1:
The patent applies universality by designing the magnetometer to serve multiple functions: it characterizes the magnetic object's angular deviation during a calibration phase, and then uses the same device for precise magnetic field measurements during trace recording. The system also determines the magnetic moment magnitude using the same measurement infrastructure. This multi-functional approach avoids adding separate dedicated devices for each measurement task.
Solution Approach 2:
The system applies self-service by using the magnetic object itself (the magnetic pencil) as the source of the magnetic field being measured. The same magnetic object that needs to be tracked also provides the magnetic field signals that enable its characterization and precise location. This eliminates the need for separate calibration magnets or reference objects.
3Measurement precision
If magnetic field measurements are taken at multiple positions during rotation, then angular deviation estimation accuracy improves, but measurement time increases
Solution Approach 1:
The patent applies periodic action by rotating the magnetic object through a complete 360-degree cycle and taking measurements at multiple discrete angular positions during this rotation. The system samples the magnetic field at regular angular intervals (e.g., every 10 or 15 degrees), which provides sufficient data points to accurately determine the angular deviation while keeping the total measurement time reasonable. The periodic sampling approach balances data quality with measurement efficiency.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach enables accurate estimation and characterization of the angular deviation, improving the precision of trace recording by accounting for non-collinearities between the magnetic and reference axes, thus enhancing the reliability of magnetic object tracking.
Implementation Method 1
positioning said magnetic object with respect to at least one magnetometer capable of measuring a magnetic field in the presence of the magnetic object
Data Source
Figure 1~3B
Figure 2
Figure 4A~4B
AI summary
The invention relates to a method for estimating an angular deviation (â) between a reference axis (Aref) of a magnetic object (2) and a magnetic axis co-linear to a magnetic moment (m) of said magnetic object (2), comprising the following steps: a) positioning (90; 110) the magnetic object (2) facing at least one magnetometer (Mi); b) rotating (110) said magnetic object (2) about said reference axis (Aref); c) measuring (110), during the rotation, the magnetic field (Bj(tj)), using the magnetometer (Mi); and d) estimating (130; 230) the angular deviation (â) from the magnetic field measurements (Bj(tj)).