In this paper, the major work is to investigate how the effect of step-size on the convergence performance of the newton-raphson iterative algorithm for solving multi-linear systems with M-tensors. Via utilizing the d...
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ISBN:
(纸本)9781728176840
In this paper, the major work is to investigate how the effect of step-size on the convergence performance of the newton-raphson iterative algorithm for solving multi-linear systems with M-tensors. Via utilizing the discrete-time Lyapunov theory, it is revealed that the range of the step-size is between 0 and 2. Only in this way can ensure the convergence of newton-raphson iterative algorithm. Additionally, when gamma = 1, that is, the traditional newton-raphson iterative algorithm possessing the fastest convergence speed for solving multi-linear systems with M-tensors. Simultaneously, the corresponding numerical examples about the multi-linear systems with M-tensors with 3-order 10-dimensional synthesized by the variable step-size newton-raphson iterative algorithm are performed, whose results substantiate and support above the mentioned conclusions.
The networked thermopile array in row-column fashion suffered from the crosstalk caused by parasitic parallel paths. To measure accurate two-dimensional thermal information, it is of great importance to eliminate the ...
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The networked thermopile array in row-column fashion suffered from the crosstalk caused by parasitic parallel paths. To measure accurate two-dimensional thermal information, it is of great importance to eliminate the crosstalk. In this work, based on the response voltage non-linearity of thermopile pixels as well as the response voltage non-uniformity of array, a projection transformation method that suits for small-scale networked thermopile arrays is proposed. It transforms the crosstalk elimination problem into an overdetermined non-linear least squares problem, and is solved by the newton-raphson iterative algorithm. Its reconstruction error is analyzed carefully by Monte Carlo simulation, and its ability to implement non-uniformity and defective pixel correction is also discussed. Its validity is verified experimentally using a3x3 networked thermopile array. The experimental result shows that the original IR image can be reconstructed from measured IR images by this method, and the reconstruction error is significantly decreased from 17.03% to 2.10%.
In functionally graded saturated poroelastic circular plates with immovable simply supported and clamped rims, the axisymmetric nonlinear bending under transverse thermo-mechanical loading has been parametrically stud...
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In functionally graded saturated poroelastic circular plates with immovable simply supported and clamped rims, the axisymmetric nonlinear bending under transverse thermo-mechanical loading has been parametrically studied and compared with the axisymmetric postbuckling and nonlinear bending under thermal loading. Based on the classical plate theory, Love-Kirchhoff hypotheses and Sander's assumptions, the general coupled nonlinear radial and transverse equilibrium equations, central continuity, symmetry and boundary conditions has been derived in ordinary and state-spatial forms. The corresponding difference equations have been achieved by using the generalized differential quadrature method. The equations have been assembled and numerically solved by using the newton-raphson iterative algorithm. The effects of the mechanical and thermal loads, pore distribution type, porosity parameter, Skempton's coefficient, and thickness and boundary condition type on the behavior of the deflection, whether caused by thermo-mechanical bending, thermal postbuckling, or thermal bending, have been investigated in detail. From the parametric study, a novel quantity determining bending behavior has been found. The axisymmetric themo-mechanical nonlinear bending deflection is inversely and nonlinearly proportional to thermal load when the quantity is greater than a critical value and is nonlinearly proportional to thermal load when the quantity is less than a critical value. It was verified that the plate behavior complies with the general rules known for FG saturated poroelastic circular plates and with those known for metal-ceramic functionally graded circular plates whose governing equations are mathematically analogous to those of the current research.
The paper presents a new method of designing decentralised load-frequency regulators for interconnected power systems. Within the framework of this method, the interconnected mutliarea power system is decomposed into ...
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The paper presents a new method of designing decentralised load-frequency regulators for interconnected power systems. Within the framework of this method, the interconnected mutliarea power system is decomposed into several subsystems, each of which is controlled separately by a decentralised regulator. Each subsystem consists of one area and its external equivalent in a simplified form. A decentralised control law for the study area is introduced by using a quadratic performance index. Feedback gains of the decentralised regulator, which minimise the index, are determined by a newton-raphson iterative algorithm. The proposed method is applied to an interconnected longitudinal 4-area system, and the effects of the proposed regulator are examined by digital simulations and associated sensitivity analysis of the system. Furthermore, a suitable means for preventing excessive control action is also considered involving a significant system nonlinearity, i.e. some generation rate constraint.
In the paper a method of designing discrete-type load-frequency regulators of a two-area reheat-type thermal system with generation-rate constraints is presented. The construction of the regulators is based on the con...
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In the paper a method of designing discrete-type load-frequency regulators of a two-area reheat-type thermal system with generation-rate constraints is presented. The construction of the regulators is based on the conventional tie-line bias control. The regulator parameters are optimised by minimisirig a discrete-type quadratic performance index with a term for presenting a generation-rate constraint. The optimisation of the parameters is achieved by using a newton-raphson iterative algorithm. The control effects by the proposed regulators are examined by digital simulations of the system. Furthermore, a suitable means for preventing excessive and unnecessary control action is also proposed considering the constraint.
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