Spiral Conductor Assembly for Uniform Magnetic Fields
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Solution Overview
Problem
Current magnet designs for charged particle beam optics and rotating electrical machines face challenges in achieving high field uniformity, leading to performance degradation due to non-uniform magnetic fields, especially in superconducting applications where precise conductor placement and winding configurations are critical.
Innovation Solution
The development of a conductor assembly with a spiral configuration, where the azimuthal angle of each position varies, and the conductor is positioned in a series of connected turns that conform to specific relationships, such as sin(m * θ) = n - ½ * N, to optimize current density distribution and achieve pure multipole fields, reducing unwanted harmonics and improving field uniformity.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If traditional conductor winding configurations are used, then the device complexity is reduced and ease of manufacture is improved, but field uniformity deteriorates and manufacturing precision requirements cannot be met
Solution Approach 1:
The patent applies preliminary action by pre-defining the precise spiral path and azimuthal angle positions for conductor placement before actual winding. The mathematical relationships (sin(m*θ) = n - ½*N) establish predetermined positions that ensure field uniformity, allowing conductors to be placed at exact locations rather than relying on traditional winding approximations.
Solution Approach 2:
The patent changes the parameter of conductor placement from traditional fixed geometric patterns to variable spiral configurations with specific azimuthal angles. By varying the azimuthal angle θ according to the sin(m*θ) relationship, the conductor positions are optimized to eliminate harmonics and achieve pure multipole fields, directly improving field uniformity.
2Manufacturing precision
If iron poles are used to define field shapes, then manufacturing precision requirements for windings are reduced, but field uniformity deteriorates due to non-linear magnetization and saturation
Solution Approach 1:
The patent applies the taking out principle by removing iron poles from the magnetic field generation system. Instead of using iron poles with current-carrying windings, the invention uses superconducting windings alone to generate the magnetic field. This eliminates the non-linear magnetization and saturation effects of iron, achieving superior field uniformity and linearity.
Solution Approach 2:
The patent employs superconducting materials as composite conductors that carry high currents without resistance. These superconducting windings replace traditional copper windings with iron cores, providing both the current-carrying capability and the magnetic field generation while avoiding the non-linear effects of ferromagnetic materials.
3Reliability
If saddle-shaped windings are used to generate magnetic fields, then the device complexity is reduced, but field uniformity deteriorates due to non-uniform current density distribution and unwanted harmonics
Solution Approach 1:
The patent applies preliminary action by pre-calculating and pre-defining the spiral path and azimuthal angle positions that will produce the desired current density distribution. The mathematical relationships are established before manufacturing, guiding the precise placement of conductors to achieve sin(m*θ) current density patterns that eliminate harmonics.
Solution Approach 2:
The patent changes the winding configuration from traditional saddle shapes to spiral configurations with variable azimuthal angles. By varying θ according to the sin(m*θ) relationship, the current density distribution is optimized to produce pure multipole fields without unwanted harmonics, achieving superior field uniformity.
4Reliability
If high field strength is required for high energy particle applications, then iron saturation effects worsen field uniformity, but using superconducting windings without precise placement increases device complexity
Solution Approach 1:
The patent changes the conductor placement parameters from traditional geometric patterns to mathematically optimized spiral positions. By defining azimuthal angles θ that satisfy sin(m*θ) = n - ½*N, the conductor positions are precisely determined to generate pure multipole fields, achieving high field uniformity with superconducting windings.
Solution Approach 2:
The patent replaces mechanical approximation methods with mathematical precision. Instead of relying on mechanical winding techniques that approximate ideal field patterns, the invention uses mathematical relationships to precisely define conductor positions, substituting mathematical optimization for mechanical trial-and-error approaches.
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 enhances the generation of high field uniformity, reducing torque ripple and AC losses in superconducting machines, and improves the separation of particles in mass spectrometry by ensuring optimal magnetic field distribution, thereby increasing the efficiency and accuracy of magnetic field generation.
Implementation Method 1
conductor assemblies and methods of forming the conductor assemblies which, when conducting current, generate a magnetic field
Data Source
Figure 1A~1B
Figure 2A
Figure 2B
AI summary
A conductor assembly and method for making an assembly of the type which, when conducting current, generates a magnetic field or which, in the presence of a changing magnetic field, induces a voltage. In one series of embodiments the assembly comprises a spiral configuration, positioned along paths in a series of concentric cylindrical planes, with a continuous series of connected turns, each turn including a first arc, a second arc and first and second straight segments connected to one another by the first arc. Each of the first and second straight segments in a turn is spaced apart from an adjacent straight segment in an adjoining turn.