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3 results about "Matrix pencil" patented technology

In linear algebra, if A₀,A₁,…,Aₗ are n×n complex matrices for some nonnegative integer l, and Aₗ≠0 (the zero matrix), then the matrix pencil of degree l is the matrix-valued function defined on the complex numbers L(λ)=∑ᵢ₌₀ˡλⁱAᵢ. A particular case is a linear matrix pencil A-λB with λ∈ℂ(orℝ), where A and B are complex (or real) n×n matrices. We denote it briefly with the notation (A,B). A pencil is called regular if there is at least one value of λ such that det(A-λB)≠0.

A forward-looking multi-channel SAR motion error compensation method based on PGA and matrix pencil

PendingCN122362307ARadarComputational physics
This invention discloses a forward-looking multi-channel SAR motion error compensation method based on PGA and matrix beaming, applied in the field of radar technology. It addresses the problems of existing technologies where compensation effectiveness is highly dependent on navigation equipment accuracy and fails to fully compensate for two-dimensional spatially varying phase and linear error components. This invention obtains RD-domain imaging results by performing deskewing and Fourier transform on the echo with phase error after range compression and migration correction. Then, rootmusic angle measurement is performed on overlapping targets in the RD-domain imaging results, equating the deblurring problem to solving a linear inverse problem, resulting in an optimization problem. Solving the optimization problem yields unblurred RD-domain echoes. The PGA algorithm is then used to estimate higher-order errors in the deblurred echoes. The matrix beaming algorithm is then used to estimate residual linear errors. Finally, the estimated motion error terms are incorporated into the coherent accumulation process to obtain the motion error-compensated imaging result.
Owner:UNIV OF ELECTRONICS SCI & TECH OF CHINA

Subsynchronous oscillation active suppression method of energy storage converter

The invention belongs to the technical field of energy storage converters, and particularly relates to a subsynchronous oscillation active suppression method of an energy storage converter. According to the method, on the basis of the time domain modal decomposition principle of a signal, sliding window framing is carried out on a sampling current, a Hankel matrix is constructed, a complex modal pole of the signal is extracted by adopting a matrix pencil method, and the frequency, amplitude and phase of each subsynchronous oscillation component are identified in real time. On the basis, according to an identification result, a multi-mode superposed anti-phase compensation current signal is constructed and injected into a converter control link, active counteracting of subsynchronous oscillation energy is achieved, and therefore damping and stability of the system are improved. By means of the method, the subsynchronous oscillation mode in the power grid can be identified in real time, the suppression current instruction is generated, and self-adaptive active subsynchronous oscillation suppression of the converter is achieved.
Owner:SHANDONG ELECTRICAL & ELECTRICAL GROUP SCIENCE & TECHNOLOGY RESEARCH CO LTD +1

Power distribution network fault positioning method and system based on traveling wave modal time delay and path characteristic frequency analysis

The invention belongs to the technical field of power system automation, and discloses a power distribution network fault positioning method and system based on traveling wave modal time delay and path characteristic frequency analysis. The method comprises the following steps: firstly, acquiring a fault transient voltage signal through single-ended measurement, and preliminarily estimating a fault distance by utilizing a propagation delay inequality between an alpha-mode component and a zero-mode component of the fault transient voltage signal; then, aiming at a plurality of possible fault positions corresponding to the distance in the network topology, adopting a matrix pencil method to carry out high-resolution spectral analysis on the signal, and extracting a characteristic frequency related to a fault path; and finally, accurately identifying the position of the fault by comparing and analyzing the extracted actual frequency and the theoretical frequency of each candidate path and combining the residual amplitude. The method has the advantages of being high in anti-noise capacity, free of synchronous measurement and high in calculation efficiency, and high-precision and high-robustness fault positioning is achieved in the complex branch power distribution network.
Owner:STATE GRID HENAN ELECTRIC POWER COMPANY ZHENGZHOU POWER SUPPLY CO