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3 results about "Conformal map" patented technology

In mathematics, a conformal map is a function that locally preserves orientation and angles. More formally, let U and V be open subsets of ℝⁿ. A function f:U→V is called conformal (or angle-preserving) at a point u₀∈U if it preserves angles between directed curves through u₀, as well as preserving orientation (i.e. mapping a tangent basis to a basis of the same orientation). Conformal maps preserve both angles and the shapes of infinitesimally small figures, but not necessarily their size or curvature.

A method and equipment for analyzing seepage field in cracked linings of water-rich strata

PendingCN122310656AConformal mapSeepage field
This invention discloses a method and equipment for analyzing the seepage field in the lining of cracked water-rich strata, belonging to the field of tunnel engineering seepage analysis technology. It addresses the technical problems in existing tunnel engineering seepage analysis, such as the difficulty in directly and analytically modeling complex cracks, the poor practicality of three-dimensional numerical simulation methods, and the insufficient consideration of the mutual interference between the tunnel and cracks. The method includes: performing equivalent seepage calculations on the equivalent circular drainage holes under the relevant total seepage flow; placing the equivalent circular drainage holes within the tunnel lining boundary, with the distance between the equivalent circular drainage holes and the tunnel lining boundary approaching zero; transforming the horseshoe-shaped non-circular boundary of the tunnel into a regular unit circle boundary under conformal mapping; and performing alternating two-dimensional seepage iterations on the excess hydraulic gradient generated by the equivalent circular drainage holes on the tunnel and the excess water head generated by the tunnel on the equivalent circular drainage holes under multiple connected domains to obtain the analytical results of the seepage field.
Owner:SHANDONG UNIV OF SCI & TECH

An analytical method for cogging torque of interior permanent magnet motor with asymmetric magnet structure

This invention provides an analytical method for calculating the cogging torque of an asymmetric magnet structure-embedded permanent magnet motor, belonging to the field of motor design and electromagnetic field analysis. The method includes: based on the principle of constant total magnetic flux, the asymmetric magnet structure is equivalent to a symmetric structure with tangentially and radially distributed permanent magnets, constructing a symmetric rotor topology; then, an improved subdomain model is established, including an air gap subdomain, a permanent magnet subdomain, an air slot subdomain, and a magnetic bridge subdomain; the slotless air gap magnetic flux density distribution is solved using a system of vector magnetic potential general equations; the stator slotting influence coefficient is obtained using a conformal mapping method to correct the slotless air gap magnetic flux density and obtain the true air gap magnetic flux density distribution; finally, the cogging torque is calculated based on the Maxwell stress tensor integral method. This invention enables rapid and accurate calculation of the cogging torque of asymmetric V-type, W-type, and straight-type embedded permanent magnet motors, providing an efficient analytical tool for the initial design and optimization of such motors.
Owner:DONGGUAN UNIV OF TECH

A conformal mapping-based non-uniform layered space magnetic guide modeling method

The application discloses a non-uniform layered space magnetic guide modeling method based on conformal mapping, relates to the technical field of permanent magnet motors, and is based on a motor topology model to obtain a generalized polygon calculation domain used for calculating a magnetic guide; the generalized polygon calculation domain is analyzed through multiple conformal mappings to obtain a relative magnetic guide function in a motor air gap; and a layered method is adopted based on the relative magnetic guide function to obtain a non-uniform space magnetic guide model based on conformal mapping. The method realizes complex air gap magnetic guide representation through the construction of conformal mapping, first introduces the concept that there are multiple layers of magnetic guide distribution in the air gap space, effectively corrects the model error caused by the adoption of the air gap center line magnetic guide or other single-layer magnetic guide in the traditional method, and simultaneously, the conformal mapping analysis of the motor magnetic guide only needs the motor tooth slot topology, does not need complex geometric subdivision, significantly improves the precision of the permanent magnet vernier motor magnetic field analysis model and reduces the modeling complexity, and provides a theoretical basis for the accurate modeling and performance optimization of the motor.
Owner:SOUTHEAST UNIV