13 results about "Hermite interpolation" patented technology

This invention discloses a method, device, system, and storage medium for longitudinal protection of distribution networks, including: 1) extraction of key response data strongly correlated with line protection and repair of abnormal data; 2) a longitudinal protection method based on Hellinger distance; and 3) a distribution network longitudinal protection method based on abnormal data repair and Hellinger distance. This application uses cubic trigonometric Hermite interpolation with shape parameters to identify and repair fault current data, effectively solving the problem of protection maloperation or failure to operate due to data loss or distortion, and improving the data reliability and adaptability of protection under complex operating conditions.

The invention discloses a calculation method of an integral transformation fracture phase field model for conformal interpolation reconstruction, and belongs to the technical field of finite element analysis of phase field models. The method comprises the following steps: inputting an interpolation coefficient obtained by performing segmented cubic Hermite interpolation reconstruction on a complex target curve into a subprogram; solving a general term expression of an interpolation segmentation energy density eigenfunction based on a continuity condition by utilizing a subprogram, and determining an interpolation segmentation energy density eigenfunction expression and first two-order derivatives thereof by combining an interpolation coefficient; and inputting the interpolation segmentation energy density eigenfunction expression, the first two-order derivatives of the interpolation segmentation energy density eigenfunction expression and the expansion at the inflection point into a solver for performing an integral transformation fracture phase field model to obtain a simulation result of the integral transformation fracture phase field model of the complex target curve. According to the method, the simulation calculation of the integral transformation fracture phase field model of the complex curve with the inflection point can be realized under a universal finite element framework, and the accuracy and the calculation efficiency are greatly improved.

End-to-end cryptographic communication to securely exchange data to / from a homomorphic cryptography circuit. The homomorphic cryptography circuit may perform homomorphic operations on ciphertext(s) of plaintext message(s) that evaluate non-linear operation(s) over the encryption of the plaintext message(s) using lookup table(s) under a functional bootstrapping scheme. The functional bootstrapping executes the lookup table(s) using Nth-order trigonometric Hermite interpolation with derivative constraints set to reduce noise for (p) interpolation points, thereby achieving the desired noise refreshing effect of bootstrapping. The homomorphic cryptography circuit may use a vector data structure to amortize the functional bootstrapping by performing the trigonometric Hermite interpolation over a vector of a plurality of the ciphertexts in parallel, e.g., using SIMD instructions, thereby improving the functional bootstrapping efficiency. The circuit output(s) may be decrypted by an external device to generate unencrypted result(s) of the homomorphic operation(s) on the plaintext message(s) with no access to the unencrypted plaintext message(s) themselves.

The invention discloses an aircraft trajectory and attitude visualization method, device and equipment and a medium. The method comprises the following steps: receiving original telemetry data of an aircraft, generating a smooth position sequence through adaptive key frame encryption and high-order Hermite interpolation, and calculating a velocity vector; generating a synchronous attitude sequence by adopting an automatic tilt compensation algorithm based on the velocity vector; the position, the posture and the corresponding three-dimensional model are bound to the same entity for integrated rendering; by monitoring the playing multiplying power and the frame rate in real time, the interpolation key frame density is dynamically fed back and adjusted, and closed-loop self-adaptive control is formed. According to the scheme, high-precision synchronous smooth visualization of the trajectory and the attitude under the conditions of non-uniform sampling and high-speed playback is realized, visual jitter, physical distortion and rendering lagging are effectively eliminated, and the sense of reality and fluency are remarkably improved.

The invention relates to the technical field of TDC chip nonlinear error adaptive modeling correction systems, in particular to a TDC chip nonlinear error adaptive modeling correction method and system. According to the method, chip output data are captured in parallel through a plurality of test channels, high-precision timestamp alignment is performed by adopting a segmented cubic Hermite interpolation algorithm, nonlinear characteristic analysis and abnormal mode recognition are realized by utilizing a machine learning technology, and a self-adaptive error model is established for real-time correction. The system correspondingly comprises a data capture module, a timestamp alignment module, a machine learning analysis module, an error modeling module and an error correction module. According to the method, the defects of a traditional correction method can be effectively overcome, accurate compensation of nonlinear errors is achieved, the measurement precision and environmental adaptability of the TDC chip are remarkably improved, and reliable technical support is provided for high-precision time measurement.

The invention relates to a multi-gas commingling pilot production tubular column collision mechanical analysis method and device, and the method comprises the steps: taking an ocean current direction as an X direction and a direction vertical to a seabed as a Z direction, and building a Cartesian coordinate system; on the basis of a Cartesian coordinate system, based on an elastic-plastic mechanics theory, considering the influence of internal fluid, establishing a multi-gas commingling pilot production string and marine riser collision mechanical analysis model, analyzing and calculating the model, and outputting contact collision mechanical characteristics; target well engineering parameters are collected, through a Hermite interpolation method, the collision mechanical analysis model is discretized, time steps and space steps of calculation are divided, the model is iteratively solved through generalized pairs, and the collision mechanical distribution characteristics of the multi-gas commingling pilot production tubular column are obtained; and further analyzing a collision mechanical distribution rule, and assembling a collision suppression short section at a multi-gas commingling pilot production pipe column part with large collision force distribution.

The invention discloses an orbit forecasting method for short-time sudden maneuver of a star chain satellite, and mainly solves the problems of updating lag and large forecasting error during sudden maneuver of the satellite in the prior art. According to the scheme, the method comprises the following steps: 1) performing initial orbit calculation based on TLE and SGP4 models; 2) ground observation data are received and differentiated with the predicted value to generate a residual sequence; (3) residual error abnormity is recognized through an abnormity detection algorithm, and a rapid orbit model fine adjustment mechanism is triggered when a sudden maneuvering event is detected; 4) updating antenna pointing parameters in real time through chained coordinate conversion of ECI, ECEF and ENU to realize tracking pointing; and 5) calculating transit starting and ending time by adopting Hermite interpolation based on the corrected satellite orbit and antenna position, and finishing orbit forecasting. According to the method, the orbit prediction precision in the sudden maneuvering state and the real-time response capability of a ground tracking system are remarkably improved, and the limitation that a traditional method depends on a TLE updating period is overcome.

The invention discloses a space-based target visible window calculation and detection performance analysis method considering multiple constraints, and the method comprises the steps: analyzing the visibility of a space-based detection satellite to a space target, and determining a plurality of visibility constraint conditions; fitting a visible judgment function by adopting a piecewise cubic Hermite interpolation polynomial, and calculating a visible window corresponding to each visibility constraint condition; combining the visible windows corresponding to the visibility constraint conditions by adopting a set screening method to obtain a multi-constraint visible window of the space-based detection satellite to the space target; and establishing a coverage performance index and an observation performance index of space-based target detection based on the performance index of satellite ground coverage, and evaluating the detection performance based on the coverage performance index and the observation performance index. The method is applied to the field of space-based detection, the performance index of a space-based target detection scheme can be established while the multi-constraint visible window is rapidly calculated, and the influence of a satellite orbit and constellation configuration on the detection performance is effectively analyzed.

The application particularly relates to a simulation method of a completely non-stationary wind field of a mountain bridge, which comprises the following steps: obtaining an evolution power spectrum function of a completely non-stationary wind field of a bridge to be simulated; determining representative interpolation nodes based on the evolution power spectrum function; the interpolation nodes comprise time domain interpolation nodes and frequency domain interpolation nodes; performing Cholesky decomposition on the interpolation nodes to obtain corresponding node Cholesky decomposition values; then further decomposing the node Cholesky decomposition values into a series of time and frequency function products by a non-negative matrix decomposition method; applying a Hermite interpolation method to establish global time and frequency interpolation functions; and generating a simulation high-efficiency calculation expression of the corresponding completely non-stationary wind field of the bridge based on the global time and frequency interpolation functions, so as to realize the simulation of the completely non-stationary wind field of the mountain bridge. The simulation method in the application can adapt to the completely non-stationary wind field, can take into account the time-varying frequency characteristics and spatial correlation of the wind speed field simulation, and can improve the practicability and efficiency of the bridge wind field simulation.

This invention discloses a parametric design method for a helicopter particle separator. The method first sets control points at key locations and constructs the central body contour of the separator using a cubic Hermite interpolation polynomial with weighted terms. Next, based on the cross-sectional areas of key locations such as the separator inlet, bifurcation, and throat, the outer wall surface of the core region and part of the bifurcation profile are derived. Subsequently, by adding control points again and combining the cubic Hermite interpolation polynomial with weighted terms, a complete outer wall surface contour curve is generated. Simultaneously, the bifurcation curve is designed using circular arcs and tangents. This method not only meets the structural design requirements of the particle separator but also precisely controls the changing trend of its internal pressure gradient and supports flexible adjustment of key geometric parameters, thereby achieving efficient parametric design and optimization of the particle separator.

This invention relates to the field of thin-walled stiffened structure design technology, and discloses a principal stress trajectory-driven design method for porous variable stiffness composite curved rib structures. The method includes the following steps: performing finite element analysis on the initial porous structure to extract the stress field and process it to generate a smooth and continuous principal stress direction field; tracing principal stress trajectories based on the principal stress direction field, and performing cluster analysis on the traced principal stress trajectory family to determine representative equivalent principal stress trajectories from the family, setting the equivalent principal stress trajectories as the non-uniform paths of the curved rib structure; describing the rib cross-sectional thickness distribution based on a piecewise cubic Hermite interpolation polynomial function; describing the curved fiber trajectory based on a linear function; and fusing the non-uniform rib path, the rib cross-sectional thickness distribution function, and the curved fiber trajectory function to generate a principal stress trajectory-driven porous variable stiffness composite curved rib structure. This fully explores the load-bearing potential of porous variable stiffness composite structures.

The invention discloses a raise boring machine mechanical arm control method based on a Hermite interpolation algorithm. The Hermite interpolation polynomial of the displacement of a raise boring machine mechanical arm hydraulic cylinder is constructed according to preset key track points of a raise boring machine mechanical arm; according to response characteristics of the raise boring machine mechanical arm hydraulic control system, a control period is determined, a track segment to which the current moment belongs is calculated, and the normalized relative time of the current moment relative to the track segment is solved; substituting the relative time into the Hermite interpolation polynomial of the corresponding track segment to obtain the target displacement of the hydraulic cylinder in the current period; the speed and the acceleration corresponding to the target displacement of the hydraulic cylinder in the current period are verified, and if the speed and the acceleration exceed the physical limit values of the hydraulic cylinder, the target displacement of the hydraulic cylinder in the current period is cut off to be the physical limit values of the hydraulic cylinder; the target displacement of the hydraulic cylinder in the current period serves as a target value of a PID controller; pID closed-loop control is realized in combination with the actual displacement of the hydraulic cylinder collected by the displacement sensor.

The application provides a dynamic overlay compensation measurement efficiency improving method based on Hermite interpolation, relates to the technical field of semiconductor chip manufacturing, adopts a two-dimensional Hermite interpolation technology through partial measurement, significantly breaks through the efficiency bottleneck of full measurement in traditional overlay control, and the traditional method needs to measure all shot points of a wafer, is time-consuming and reduces the throughput of a production line, and only m key shot points are measured in the scheme, about 80% of the measurement workload is reduced, and the throughput is improved by several times.The creativity lies in that the Hermite interpolation generates a smooth full-wafer difference distribution by using difference and derivative, the error is controlled within ±1nm, and the precision is comparable to that of full measurement.The optimized sampling plan further ensures the coverage of key areas and makes up for the limitations of partial measurement.This dual optimization of efficiency and precision not only reduces the burden of the measurement equipment, but also provides a feasible and efficient control scheme for advanced nodes, and has a significant breakthrough significance.