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Algorithm for Simulating Microscopic Current Distribution of Zinc Oxide Varistor

A piezoresistor and current distribution technology, applied in computer material science, design optimization/simulation, CAD numerical modeling, etc., can solve problems that take more than ten hours, and achieve the effect of improving speed and efficiency

Active Publication Date: 2020-10-02
TSINGHUA UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

Since the resources required for calculation and the solution time increase geometrically with the increase in the number of equations and unknowns in the equation system, researchers in the past generally carried out the numerical value of ZnO varistors on the order of hundreds of crystal grains. Calculation simulation, each calculation often takes more than ten hours

Method used

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  • Algorithm for Simulating Microscopic Current Distribution of Zinc Oxide Varistor
  • Algorithm for Simulating Microscopic Current Distribution of Zinc Oxide Varistor
  • Algorithm for Simulating Microscopic Current Distribution of Zinc Oxide Varistor

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0072] According to Equation 6, the voltage and current data of nodes and branches generated by the addition of power supply increment in the k+1th step can be obtained, and through Equation 3, superimposed on the calculation result obtained in the kth step, the kth can be obtained The voltage and current data of each node and branch in the +1-step equivalent circuit.

[0073] figure 2 is the error analysis diagram of the calculation simulation algorithm of the present invention, such as figure 2 As shown, these data actually correspond to a certain data point on the tangent extension line of the kth step data point on the nonlinear curve, that is, point A, rather than directly located on the nonlinear curve; for the solution process of the k+2th step , the formula is adopted, which is actually equivalent to point B as a tangent extension line to realize the linearization of the nonlinear curve.

Embodiment 2

[0075] On the basis of Example 1, for point B, the voltage data of each node branch in the equivalent circuit is exactly the same as point A, so Kirchhoff’s correlation law is still satisfied, and the branch current data is no longer the same as point A , so there will be a certain deviation from the requirements of Kirchhoff's correlation laws. Through the complete set of equations, the branch current data corresponding to point B can be obtained:

[0076]

[0077] Among them, V is the applied voltage on both sides of the barrier;

[0078] Q i is the charge density filled by the surface states;

[0079] N i (E) is the surface state energy distribution function;

[0080] f i (E) is the Fermi distribution function;

[0081] k B is the Boltzmann constant;

[0082] T is the absolute temperature;

[0083] A* is Richardson's constant;

[0084] k B is the Boltzmann constant;

[0085] T is the absolute temperature;

[0086] ε ξ is the energy level difference ξ betwee...

Embodiment 3

[0088] On the basis of embodiment 2, define following calculation error on this basis:

[0089]

[0090] In the definition formula of the calculation error Ierr above, the essence of the numerator part is the sum of all the inflow and outflow currents of each node of the equivalent circuit, and the essence of the denominator part is the total current value flowing through each node.

[0091] According to Kirchhoff's relevant laws, the value of the sum of the inflow and outflow currents of any node in the circuit should be zero. For the branch current data I(k+1) at point A, it can meet the requirements of the law, and the corresponding branch current data at point B The circuit current data does not meet the requirements of the law, that is, a certain calculation error occurs.

[0092] Dividing the error data of the sum of the currents of each node by the total current value flowing through each node, the obtained error ratio data can better reflect the severity of the calc...

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Abstract

An algorithm for simulating zinc oxide varistor micro current distribution comprises a formula establishment step, a piecewise control step and an optimization step which are successively carried out.The algorithm has the beneficial effects that according to the piecewise linearization fast algorithm, a ZnO varistor computational simulation model with a crystal boundary real conductive mechanismintroduced can be effectively solved, and computational simulation speed and efficiency can be largely improved due to the fact that related algorithms are fully optimized.

Description

technical field [0001] The invention relates to the research field of the invention involving high voltage gradient new high-performance ZnO varistors, in particular to an algorithm for simulating the microscopic current distribution of zinc oxide varistors. Background technique [0002] The most basic premise of material design is to be able to use appropriate mathematical models to describe the actual process of material test research and the various elements involved; the most basic tool for material design is a computational simulation model that can truly reflect the changing laws of material properties. [0003] Due to the very complex relationship between the original optimization variables (raw material composition formula and processing conditions) and the final optimization target (macroscopic electrical performance parameters) in the above optimization problem, experimental research has been almost the only tool for optimal solution for a long time. way. The impo...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/20G16C60/00G06F111/10
CPCG06F30/367
Inventor 胡军何金良孟鹏飞
Owner TSINGHUA UNIV