System and method for analyzing oscillatory stability in electrical power transmission systems
US-2015105927-A1 · Apr 16, 2015 · US
US9990333B1 · US · B1
| Field | Value |
|---|---|
| Publication number | US-9990333-B1 |
| Application number | US-201514724458-A |
| Country | US |
| Kind code | B1 |
| Filing date | May 28, 2015 |
| Priority date | May 28, 2014 |
| Publication date | Jun 5, 2018 |
| Grant date | Jun 5, 2018 |
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In one embodiment, a system or method for kinematically synchronizing uncoupled, dissimilar rotational systems pertain to modeling a first rotational system using an equation of motion to obtain a first system model, modeling a second rotational system that is physically dissimilar to the first rotational system using the equation of motion to obtain a second system model, and matching kinematic matching coefficients of the equations of motion for the first and second system models.
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The invention claimed is: 1. A method for designing and constructing a limb prosthesis for an individual having an intact limb and an opposite partial limb, the method comprising: modeling the intact limb as a first rotational system using an equation of motion to obtain a first system model that represents the intact limb; modeling an opposite limb that comprises the partial limb and a limb prosthesis as a second rotational system that is physically dissimilar to the first rotational system using the equation of motion to obtain a second system model that represents the opposite limb; matching kinematic matching coefficients of the equations of motion for the first and second system models so they have the same motions to obtain mass and length parameters for the limb prosthesis; and constructing a physical limb prosthesis for the partial limb that has the obtained mass and length parameters, wherein, when the limb prosthesis is worn by the individual, the opposite limb has kinematics that match the kinematics of the intact limb. 2. The method of claim 1 , wherein the equation of motion is defined as: [ M]{umlaut over (Θ)}+[N]{dot over (Θ)} 2 +[G]=[T] wherein [M], [N], [G], and [T] are inertial, damped, gravitational, and forced coefficient matrices, respectively, that contain the kinematic matching coefficients and {umlaut over (Θ)} is an angular acceleration vector and {dot over (Θ)} 2 is an angular velocity vector. 3. The method of claim 2 , wherein [M] is an inertia matrix defined as [ M ] sym n ⋓ , n ⋓ = [ M 1 , 1 M 1 , 2 cos ( θ 1 - θ 2 ) … M 1 , j cos ( θ 1 - θ j ) M 1 , 2 cos ( θ 1 - θ 2 ) M 2 , 2 ⋮ ⋮ ⋱ M i - 1 , j cos ( θ i - 1 - θ j ) M 1 , j cos ( θ 1
Complex mathematical operations {(function generation by table look-up G06F1/03; evaluation of elementary functions by calculation G06F7/544)} · CPC title
Artificial legs or feet or parts thereof · CPC title
Damping vibrations by displacing, supplying or ejecting a material, e.g. liquid, into or from counterbalancing pockets · CPC title
using mathematical models (A61F2002/505 takes precedence) · CPC title
for designing or making customized prostheses, e.g. using templates, finite-element analysis or CAD-CAM techniques · CPC title
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