85 results about "Model order reduction" patented technology

Model-order reduction techniques are described for RLC circuits modeling the VLSI layouts. A structured model order reduction is developed to preserve the block-level sparsity, hierarchy and latency. In addition, a structured and parameterized model order reduction is developed to generate macromodels for design optimizations of VLSI layouts. The applications are thermal via allocation under the dynamic thermal integrity and via stapling to simultaneously optimize thermal and power integrity.

The invention discloses a method for analyzing wing structure aero-elasticity stability based on aerodynamic force uncertain order reduction. The method is based on unsteady aerodynamic force model order reduction method based on CFD technology; uncertainty of numerical calculation and aerodynamic parameters during aerodynamic force identification process is taken into comprehensive consideration and is uniformly quantified as an uncertain bounded interval noise sequence in an identification model; uncertain order reduction of the aerodynamic force model is realized by means of interval set membership identification algorithm; unsteady aerodynamic uncertain order reduction model based on CFD technology is established; mathematical model of uncertain aero-elasticity system of state space form is established coupled with structural motion equation; an effective method for predicting system robustness stability boundary from the prospective of section state matrix characteristic values. The aero-elasticity system uncertainty modeling thinking and stability boundary prediction technology provided by the invention gives consideration to calculation efficiency, analysis precise and system robustness.

The invention discloses an indoor thermal environment control method based on model reduction and multi-model prediction control. The method includes the three main steps that firstly, a temperature variation section of an indoor user region is segmented, modeling is conducted on the equilibrium state position of each segment through computional fluid dynamics (CFD) software and the proper orthogonal decomposition (POD) technology, and a low-order linear building thermal environment in a multi-model type is reconstructed; secondly, multi-model switching time is reasonably selected through an optimization algorithm; thirdly, accurate control over the user region temperature is conducted on each sub model through a prediction control method. Low-order models of the building indoor thermal environment are constructed through the POD technology and the multi-model method, the influence of space distribution on the temperature variation can be fully taken into consideration in a temperature regulation strategy, and accuracy of indoor temperature control is improved. Compared with an existing temperature control strategy adopted in large space, the indoor thermal environment control method has the advantages that accuracy is high, and energy saving of a building is facilitated.

The invention discloses a building indoor environment optimization method based on the model order reduction technology. The method mainly includes the three steps: (1) using CFD (computational fluid dynamics) software for steady-state simulation of the indoor environment, and constructing variation spaces of various environmental parameters; 2) reconstructing low-order parameter variation subspaces by the aid of the POD (proper orthogonal decomposition) technology; and 3) searching the optimal air conditioner air supply temperature and the optimal air conditioner air supply speed by operating the genetic algorithm. The variation subspaces of the indoor environmental parameters are constructed by the aid of the POD technology, so that influences of spatial distribution on the environmental parameters are considered fully in an optimizing strategy, and optimization accuracy is improved. The POD model order reduction method maps a control equation in an original space into one orthogonal subspace, and accordingly mapping error can be guaranteed to minimum in the energy sense. Besides, compared with a present environment optimization strategy, the building indoor environment optimization method based on the model order reduction technology has the advantages of high optimization precision, high speed and the like.

A method for converting interconnect parasitics of an interconnect network into slew dependent pin capacitances utilizes charge matching between predetermined voltage thresholds. During timing abstraction of a macro, parasitics of interconnects connected to the primary inputs are represented as slew dependent pin capacitances in an abstract model being created. Interconnect model order reduction is employed to speed the process. The generated abstract is subsequently used in place of each occurrence of the macro during chip level hierarchical static timing analysis, leading to an enhanced accuracy of the timing analysis of the logic components driving the abstracts.

The invention discloses a model-free control method in intelligent control. The model-free control method comprises the steps of: carrying out model order reduction on a controlled object; and designing a model-free sliding-mode controller, which is composed of a model-free intelligent PID control rate based on time delay estimation and a sliding-mode correction sub-controller. The model-free control method combines the advantages of model order reduction and modern intelligent control, utilizes a computer sampling mechanism and adopts a time delay estimation technology to for reducing the order of a high-order system, and performing online estimation on real-time local dynamic characteristics; in addition, a circulative iteration controller is designed for correcting errors caused by time delay estimation, thereby further improving following control precision; and the model-free control method can effectively overcome influence of a series of uncertain factors such as unmodeled dynamics of the complex controlled object and external interference, and has the advantages of being simple in controller design structure, few in calculation workload, independent of mathematical model and parameters of a controlled system, good control performance and effect and the like.

The invention relates to a component model order reduction method facing to product level simulation, and belongs to the CAD computer aided cooperative product simulation technology field, which is characterized in comprising following steps: using ANSYS software to establish a three-dimensional mesh module of the component and calculate modal, and extracting mass matrix and stiffness matrix of the component model; then using Mathematica software and combining an order-reduction algorithm in a finite element analysis to reduce the component model provided with n-dimensional vector into the component model consisted of m modals according to the gained the stiffness matrix and mass matrix, and a state of the structure in a maximum deformation in a setting typical load and a state in system balance. The invention improves product level simulation speed of complex products, improves a reuse degree of simulation data, and is simply operated, and easy to realize.

The present invention belongs to the field of microelectromechanical MEMS and electronic technology, and is especially one kind of order reducing method for system model with parameters. The model order reducing technology can raise simulating and verifying speed of system model effectively and improve the design scheme of circuit and device timely. The present invention establishes model order reducing method to parameter system. Transfer function of parameter system is multiple series developed to constitute son projection matrix, and the son projection matrix is orthogonalized to constitute projection matrix. The projection matrix is used in reducing order of the original parameter system and the obtained reduced-order system is independent on some special values of the system parameters and can maintain order reducing precision on different values. The present invention has greatly raised order reducing precision and efficiency.

The invention belongs to the field of design of an integrated circuit and relates to a nonlinear circuit time domain model reduction method and a nonlinear circuit time domain model reduction device. The method comprises the following steps of: forming a track in a state space through a 'training signal', and selecting an expansion point on the track to approach a nonlinear circuit through a segmented linear method; and obtaining a final reduction model through a time domain model reduction method based on wavelet collocation. The device comprises an input unit, an output unit, a program storage unit, an external bus, a memory, a storage management unit, an input/output bridging unit, a system bus and a processor. A nonlinear system is directly subjected to model reduction in a time domain, the time domain reduction accuracy of the nonlinear system can be guaranteed, and a time domain error can be controlled; therefore, an accurate and compact reduction model can be acquired, and the simulation accuracy and efficiency are improved.

The invention belongs to the field of integrated circuits, and relates to a method and device for reducing an interconnection line model of a great quantity of ports. The method comprises the following steps of: constructing an undirected graph according to connection relationship of resistors and capacitors of an interconnection line circuit of a great quantity of ports, partitioning the undirected graph by utilizing a spectrum partitioning method, and finally carrying out coarse graining on nodes in a same partition set, thus obtaining a reduced circuit. The device comprises an input unit, an output unit, a program storage unit, an external bus, a memory, a storage management unit, an input and output bridging unit, a system bus and a processor; and an AMOR program of the reduction method can be realized through storage of the program storage unit. According to the invention, model reduction is carried out on the interconnection line of a great quantity of the ports without introduction of nonzero components, and the reduced model is ensured to be shorter in simulation time and higher in efficiency, and simultaneously the resistance value and capacitance of the obtained reduced circuit are positive values, thus having physical realizability and ensuring the passiveness of the reduced circuit.

The invention discloses a modeling analysis method for gust response of a fixed-wing aircraft, which reduces the order of a model by reducing the order of an aerodynamic model, has higher precision and small calculated amount compared with the traditional method, and is suitable for engineering analysis. After the model is coupled with an aircraft structure model, an atmosphere model, a steering engine model and the like, a gust response model with low order is obtained, and gust response analysis and gust slowing control design are facilitated.

An abstraction model supporting multiple hierarchical levels is inputted into a generalized static timing analysis of a hierarchical IC chip design to analyze and optimize the design of circuits integral to the chip containing a plurality of macro abstracts. An electrical network, synthesized for an internal abstract interconnect segment, is performed only once per macro and is applied to multiple instances of the macro abstract model in the IC chip design. The synthesized electrical network is a resistive capacitive or a resistive inductive capacitive network or a combination thereof. The synthesized electrical network is then used to match impulse response transfer functions of the network and the abstract interconnect segment's timing model. This network is stitched with the electrical parasitics of external interconnect segments connected to macro primary outputs. Various model order reductions are then performed on the electrical parasitics of external interconnects prior to network stitching. A static timing analysis is performed on the final network.

The invention discloses a temperature parameterized reduced-order modeling method for a micro-electromechanical system, and belongs to the field of micro-electromechanical system design and model order reduction. The method comprises the following steps: extracting quality, rigidity and temperature stress rigidity matrixes, and establishing a two-order dynamical equation related to temperature; constructing an orthogonal mapping matrix V; and projecting the primary two-order dynamical equation to a subspace in which the orthogonal mapping matrix V is positioned so as to acquire a temperature parameterized low-order model. The reduced-order method can greatly reduce the freedom scale of the primary model through an order reduction algorithm so as to improve the system-level modeling and simulating speed based on the reduced-order model. Simultaneously, by adopting the matrix matching principle, transfer functions of the reduced-order model and the primary model can be approximate better so as to have higher precision. During order reduction, a projection matrix irrelative with parameters can be generated, and finally, a temperature parameter in the primary system is reserved in the low-order model.

The model order reducing technology is one very useful technology for raising circuit simulating and verifying speed in improving circuit design scheme. The present invention establishes one kind of directly projecting method of reducing order of non-linear circuit model, and features the combination of direct projection and variation analysis in control theory. The sub-system obtained through variation analysis is used in constituting son projection matrix V1, V2, ..., Vn; and the relation between the original system and the son system is then used in constituting united projection matrix V. The projection matrix V is finally used in realizing direct projection of one approximate non-linear system on the original non-linear system. Compared with the order reducing the sub-system method, the present invention has greatly raised order reducing precision and efficiency.

Computer time for modeling VLSI interconnection circuits is reduced by using symmetric properties of modified nodal analysis formulation. The modeling uses modified nodal analysis matrices then applies a Krylov subspace matrix to construct a congruence transformation matrix to generate the reduced order model of the VLSI.

The invention belongs to the field of aerospace complex beam structure component calculation, and provides a reduced order model-based free vibration analysis method for a beam structure. The method comprises the following steps: 1) obtaining a mass matrix and a stiffness matrix of a fine structure by using finite element software; 2) using a polynomial interpolation function to construct a reduced base vector, so as to realize order reduction of an original complex beam structure; and 3) solving a kinetic equation of the reduced order model, and obtaining the overall frequency and part of low-order frequencies of the structure. According to the method disclosed by the present invention, the polynomial interpolation function is used to construct the reduced base vector, nodes in a finite element model of the complex structure are condensed to the section centroid in the form of displacement interpolation so as to realize the order reduction of the original structure, and the calculation precision of the reduced order model can be controlled by polynomial orders. The method disclosed by the present invention has the advantages that: without depending on the experience of the user, the adverse influence of the difference of selection of the master and slave freedom degrees on the calculation precision is reduced; a large amount of matrix operation is not needed, so that the calculation efficiency of order reduction of the model is improved; and the obtained reduced order model has a wide application range.

The invention relates to a model order reduction feedback control method for direct-driven fan subsynchronous oscillation suppression. The method comprises the following steps: 1, linearizing mathematical models of a direct-driven fan and a controller of the direct-driven fan, and establishing a direct-driven fan small signal model containing all state variables; 2, performing order reduction on the small signal model according to the characteristic value of the complete small signal model, the observability of the state variable and the influence degree on oscillation, and establishing an order reduction model of the direct-driven fan; and 3, designing a feedback controller by utilizing the reduced-order small-signal model of the direct-driven fan. According to the invention, through linearization of mathematical models of the direct-drive fan and the controller thereof, a small signal model of the direct-drive fan containing all state variables is obtained for analysis and calculation. Order reduction is carried out on the small signal model to obtain an order reduction model of the direct drive fan, and convenience is provided for design of a feedback controller. A feedback controller is designed by using a reduced-order direct-drive fan small-signal model, and a good direct-drive fan subsynchronous oscillation suppression effect is achieved.

The present invention comprises a system and method for reducing the order of models used to simulate complex electric circuits and linear systems. In particular, the method of the present invention comprises formulating expressions relating the input and output terminals of a complex electric circuit, wherein the expressions comprise a first model of the electric circuit; performing mathematical operations on the first model to reveal correlations between at least two input terminals or between at least two output terminals; and substituting a reduced order second model for the original first model, whereby the reduced order second model eliminates some or all aspects of correlations between input terminals or between output terminals. The system of the present invention comprises a computer system for performing model order reduction.

The invention discloses a vector fitting model order reduction method based on error control in a linear system. Specific to the conventional vector fitting, the order of a constructed pole-residue model is always very high under a wide frequency band, particularly in a highly-dynamic linear system with a resonance point. An error control function is introduced, data including important features of the linear system are selected in a continuous iteration way, and certain slightly-varied data representing details are neglected, so that the order of the constructed model is effectively reduced under the condition of sacrificing certain modeling accuracy. A low-order pole-residue macro model is obtained under the condition that the modeling accuracy requirement is met. The pole-residue macro model is further transformed into a state space model, passive processing is performed, and the constructed pole-residue macro model is output lastly. By adopting the vector fitting model order reduction method, the balance between model accuracy and complexity is realized, and the simulation efficiency of electromagnetically-compatible electromagnetic emission is increased.

The invention discloses a heat transfer coupling simulation order reduction method for a buried pipe heat exchanger. The method comprises the following steps: step 1, establishing a control equation;step 2, boundary determination; 3, obtaining an original system in a state space form of the mathematical model of the heat transfer problem of the buried pipe heat exchanger; 4, performing order reduction on the original system obtained in the step 3 by adopting a model order reduction method to obtain a price reduction system formula; 5, performing numerical solution on the reduced-order systemformula to obtain a solution of the reduced-order system; and step 6, through the reduced-order system coefficient matrix obtained in the step 4 and the reduced-order system state variable obtained inthe step 5, performing calculating to obtain an output variable, i.e., an approximate solution of an original system output variable, i.e., a numerical solution of an output variable of a control equation under a corresponding boundary condition. The scale of the order reduction system is far smaller than that of an original system, only one small-scale system needs to be solved, and therefore computing resources are saved, and the running time of a computing program is greatly shortened.

The adjoint network reduction technique has been shown to reduce 50% of the computational complexity of constructing the congruence transformation matrix. The method was suitable for analyzing the special multi-port driving-point impedance of RLC interconnect circuits. This paper extends this technique for the general circumstances of RLC interconnects. Comparative studies among the conventional methods and the proposed methods are also investigated. Experimental results will demonstrate the accuracy and the efficiency of the proposal method.

The invention discloses an angle parametrized macro modelling method of micro-electro-mechanism system, belonging to a field of micro-electro-mechanism system design and model order reduction. The method comprises: firstly, randomly selecting one from microstructure with same geometric shape as a reference microstructure, extracting macro model thereof by the numerical value order reduction method; then establishing conversion equations between force and displacement of other orientation microstructures relative to reference microstructure by employing a matrix coordinate transform method, and finally, substituting the conversion equations between force and displacement into a behavior equation of the macro model, and implementing angle parametrized macro modeling of MEMS. The method of the invention implements angle parametrized macro modeling by the matrix coordinate transform method, and by setting relative angle parameters, avoids identity of structure and repeat macro modeling process of MEMS microstructure of different initial orientations, thereby increasing speed of MEMS grade modeling and emulation based on the macro model, and further raising design efficiency of entire MEMS.