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113 results about "Constant coefficients" patented technology

In mathematics, constant coefficients is a term applied to differential operators, and also some difference operators, to signify that they contain no functions of the independent variables, other than constant functions. In other words, it singles out special operators, within the larger class of operators having variable coefficients. Such constant coefficient operators have been found to be the easiest to handle, in several respects. They include for example the Laplacian of potential theory and other major examples of mathematical physics. In the case of ordinary differential equations, writing D = d/dx the general constant-coefficient differential operator is L = p, where p is any polynomial with complex number coefficients. The solution of equations Lf = g with a given function g(x) was given already in the eighteenth century, by Leonhard Euler. For partial differential equations, the constant-coefficient operators are characterised geometrically by their translation invariance, and algebraically as polynomials in the partial derivatives. According to the Ehrenpreis–Malgrange theorem, they all have fundamental solutions.

Inverter droop control method capable of achieving secondary frequency modulation and pressure regulation

The invention discloses an inverter droop control method capable of achieving secondary frequency modulation and pressure regulation and belongs to the technical field of distributed power supply inverter output control. According to the inverter droop control method capable of achieving secondary frequency modulation and pressure regulation, aiming at the defect that a traditional local inverter droop control method can not achieve secondary frequency modulation and pressure regulation, with the restriction of the purpose of meeting the upper limit, the lower limit and the specified working point of power output of an inverter, an S-shaped droop control curve is constructed based on a traditional droop control curve with the specified working point as a middle transition point; modeling is achieved by means of a cubic function or a piecewise function, traditional droop control constant coefficients are replaced with a quadratic function, so that power output can be adjusted dynamically along with load change; due to the fact that when a traditional electric generator operates under the control of a frequency modulator / pressure regulator, the movement track of the intersection point of the secondary frequency modulation and pressure regulation power output curve of the electric generator and a load characteristic curve is an S-shaped curve, the curve can be directly used for controlling the inverter, and then secondary frequency modulation and pressure regulation are achieved, and operation performance of the inverter is better than that when the inverter is under traditional droop control.
Owner:NANJING INST OF TECH

Method and apparatus for use in a decoder of a forward error correction (FEC) system for locating bit errors in a error locator polynomial

ActiveUS7058876B1Quickly and efficiently processingLimit amount of neededDigital data processing detailsCode conversionAlgorithmForward error correction
The present invention provides a method and apparatus for quickly and efficiently processing an error correction polynomial to locate bit errors using a Chien search algorithm. In accordance with the present invention, it has been determined that multiplying the Λ coefficients of the error locator polynomial by a scaling vector prior to performing the Chien search algorithm matrix operations, it possible to use constant coefficients in the matrix multiply logic. This enables a relatively small amount of logic to be used to perform the matrix multiplication operations of the Chien search algorithm. The Chien search algorithm logic of the present invention is configured to perform many matrix multiply operations in parallel, which enables the Chien search algorithm to be executed very quickly to locate the bit errors in the error locator polynomial. Such a large number of matrix multiply operations would normally require a very large number of gates. However, the constant coefficient matrix multiply logic configuration of the present invention that is made possible by the aforementioned scaling significantly limits the amount of logic needed to perform the matrix multiply operations. Therefore, the present invention enables very high-speed throughput with respect to error correction, and does so using a relatively small amount of logic. This renders the decoder of the present invention suitable for use in high data rate systems. Furthermore, the use of a relatively small amount of logic limits area and power consumption requirements.
Owner:CIENA

Parametric elastic vibration analysis method of rotating annular periodic structure

A parametric elastic vibration analysis method of a rotating annular periodic structure comprises the steps of building a rigid-elastic coupling dynamic model of the rotating annular periodic structure according to a Hamilton principle under a global stationary coordinate system; introducing coordinate conversion, and converting the dynamic model to a support follow-up coordinate system so that a parametric item in an original equation is eliminated; performing discrete processing on a partial differential constant coefficient dynamic equation under the rotating support follow-up coordinate system by a Galerkin method to obtain an ordinary differential matrix equation; analyzing a characteristic value of the ordinary differential matrix equation by using a classical vibration theory; and respectively analyzing mode characteristic of the rotating annular periodic structure and a dynamic stability rule of parametric elastic vibration by employing an imaginary part and a real part of the characteristic value of the ordinary differential matrix equation. The parametric elastic vibration analysis method can be used for dynamic analysis of rotating machinery, calculation and solution of the mode characteristic of a system, and analysis on the dynamic stability and the dynamic response of the system.
Owner:TIANJIN UNIV

Automatic latitude measuring and calculating and automatic precision compensating method of pendulum gyro north seeker

The invention relates to an automatic latitude measuring and calculating and automatic precision compensating method of a pendulum gyro north seeker. The method is characterized in that the geographic latitude is resolved by utilizing the pendulum period measured by an alidade of the pendulum gyro north seeker under a non-tracking state, and the directive coefficient is calculated, so that the precision compensation of deviation brought about by torsion zero deviating from true north is completed, and the method comprises the four steps of calibrating the relationship coefficient of the period and the latitude, starting a north seeking process, measuring the period under the non-tracking state, resolving the latitude by the non-tracking period, and correcting the torsion zero deviation automatically. Compared with the prior art, the automatic latitude measuring and calculating and automatic precision compensating method of the pendulum gyro north seeker has the advantages that in actual applications, the latitude is not required to be input before measurement, and the directive coefficient is also not required to be calibrated and calculated; through the constant coefficient relationship of the period and the latitude, which is calculated in advance in a calibrating site, the latitude at the site can be resolved only by measuring the non-tracking pendulum period of a measured site, and further a measurement result is corrected. The method can be widely applied to the fields of aviation, aerospace, geodetic measurement, guided missile aiming and the like.
Owner:PLA SECOND ARTILLERY ENGINEERING UNIVERSITY

Method for electrochemical polishing of metal interconnection wafer structure

The present invention provides a method for electrochemical polishing of a metal interconnection wafer structure. The method provided by the invention comprises: the step 1, performing electrochemical polishing of one part of wafers in a wafer production, and obtaining an average time T0 being required to polish a qualified wafer; the step 2, measuring the thickness front value D0 of any one wafer O in the wafer production, and comparing the thickness front value D0 with a front value target value D; the step 3, performing electrochemical polishing of the wafer O; the step 4, cleaning the wafer O; the step 5, measuring the thickness back value D1 of the wafer O; the step 6, determining whether the thickness back value D1 of the wafer O meets the requirement of a back value target value D' or not, and reworking the wafer O or putting into a CMP module. The time T (which is required for polishing the wafer O)=T0+[(D0-D)/(K*RR)]*60, wherein RR is polishing rate and K is a constant coefficient; the RR slows down with increasing the batch number of polishing wafers, and the K is determined by the feature of the wafer production. The method for electrochemical polishing of a metal interconnection wafer structure is easy to implement and obvious in effect, and is able to greatly improve the yield rate of high polishing wafer productions.
Owner:ACM RES SHANGHAI

Transient response analytic calculation method for high-voltage direct current power transmission system

The invention provides a transient response analytic calculation method for a high-voltage direct current power transmission system. The method comprises the following steps that: A, a smoothing reactor, a direct current filter and a direct current power transmission circuit of the high-voltage direct current power transmission system are combined with a voltage current relationship to obtain a differential algebraic equation set of the high-voltage direct current power transmission system under different operation work conditions according to a circuit principle; according to the logic relationship of a control system, a differential equation of the control system is built, and a state equation (shown as the accompanying drawing) of the high-voltage direct current power transmission system is finally formed, wherein the differential algebraic equation set is a constant-coefficient nonhomogeneous linear differential equation set, x is the state quantity under the i-th operation work condition, Ai is a state matrix, Bi is an input matrix, the input u(t) is a rectifier-side and inverter-side three-phase voltage instantaneous expression, and Ci is a component after the addition of the control system; B, through the steady state response calculation on the high-voltage direct current power transmission system, the relationship x(t) of the state quantity of the high-voltage direct current power transmission system varying with time and initial values of each operation quantity of the control system are obtained; C, under the alternate current voltage change, the direct current transient response calculation is carried out; and D, the calculation is completed.
Owner:ELECTRIC POWER RESEARCH INSTITUTE, CHINA SOUTHERN POWER GRID CO LTD

Simplified analysis method for inherent frequency and stability of rotational symmetric structure

The invention discloses a simplified analysis method for an inherent frequency and the stability of a rotational symmetric structure. The method comprises the steps of establishing a complete dynamic differential equation of a system, a dynamic differential equation adopting a no-extension hypothesis, and a dynamic differential equation adopting an extension hypothesis: establishing the complete dynamic differential equation of the system; establishing the dynamic differential equation adopting the no-extension hypothesis; establishing the dynamic differential equation adopting the extension hypothesis; introducing coordinate conversion for converting the three dynamic differential equations to a support follow-up coordinate system so as to obtain corresponding three constant coefficient partial differential dynamic equations; performing discrete processing on the three constant coefficient partial differential dynamic equations in the support follow-up coordinate system to obtain three constant differential matrix equations; obtaining an eigenvalue of the complete dynamic differential equation and eigenvalues of two simplified dynamic differential equations; and analyzing a parametrically excited vibration mode characteristic and a dynamic stability change law of the rotational symmetric structure according to the three eigenvalues. According to the method, a specific analysis expression of system eigenvalues can be obtained more clearly.
Owner:TIANJIN UNIV

Method for dynamically optimizing wash-out coefficient and fully performing overload capacity of movement platform

InactiveCN101488178AGive full play to the overload capacityAvoid brakingAnalogue computers for vehiclesDynamical optimizationWashout
The invention discloses a method for dynamically optimizing washout coefficient to bring the movement platform overload capacity into full play. A cost function is used for determining a washout module coefficient, and positions and gestures of six freedom degrees of the movement platform are generated after the implementation of real-time dynamic optimization. The variation of the overload, which is generated in the middle of the stroke of a mechanism is greater than the variation of the positions and gestures of the six freedom degrees, which is generated by a constant coefficient washout module, and in an attachment to the stroke end of the mechanism, the actually achieved positions and gestures of the six freedom degrees of the movement platform after the output of a previous command are taken into consideration so as to prevent the frequent brake in the neighborhood of the stroke end of the mechanism, so that the movement platform overload capacity is brought into full play and the aim of maximally developing the movement platform performance is achieved. The invention is used for improving the fidelity of dynamic simulation of a flight simulator and relates to the field of dynamic simulation of the six-freedom-degree movement system of the flight simulator.
Owner:PLA AIR FORCE AVIATION UNIVERSITY
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