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A Method of Listing the State Equation of Circuit Network

A technology of network state and state equation, applied in the direction of complex mathematical operation, can solve the problem of electromagnetic transient calculation software, and achieve the effect of simple post-processing and concise method

Active Publication Date: 2019-10-15
GLOBAL ENERGY INTERCONNECTION RES INST CO LTD +2
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  • Summary
  • Abstract
  • Description
  • Claims
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Problems solved by technology

However, the electromagnetic transient calculation software, which is an important analysis tool for power systems, has not made substantial progress. The current popular electromagnetic transient analysis software such as EMTP and EMTDC are still based on algorithms half a century ago.

Method used

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  • A Method of Listing the State Equation of Circuit Network
  • A Method of Listing the State Equation of Circuit Network
  • A Method of Listing the State Equation of Circuit Network

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Embodiment Construction

[0053] The specific implementation manners of the present invention will be further described in detail below in conjunction with the accompanying drawings.

[0054] The purpose of the present invention is to establish a first-order state equation in a standard format. The equation can be directly solved recursively by using the direct integration method, so as to obtain the value of the state variable x at each time point.

[0055]

[0056] In order to obtain the state equation, the system equation of the circuit must first be established.

[0057]

[0058] in is an N-order column vector, and each element value represents the potential of the corresponding node; K C is the capacitance coefficient matrix; K R is the resistivity matrix; K L is the inductance matrix; I s is the input vector in the circuit, representing the voltage source and current source in the circuit.

[0059] The system equation contains both the first-order derivative of the node potential vecto...

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Abstract

The invention relates to a listing method of a circuit network state equation. The method comprises the following steps: establishing a system equation of a circuit; implementing topological digitization on the circuit; executing a pseudo-code to obtain a coefficient matrix of the system equation of the circuit; and establishing a first-order state equation with a standard format. According to the technical scheme provided by the invention, the problem of sequencing state equations for general circuit networks existing for a long time can be solved, and thus the application of the state equation method in the electromagnet transient analysis of the circuit network becomes possible.

Description

technical field [0001] The invention relates to a method for listing and writing the state equation of a circuit system, in particular to a method for listing and writing the state equation of a circuit network. Background technique [0002] The state equation is a dynamic equation describing the circuit network system model, which is the basis of circuit network analysis. The state variables are a group of independent dynamic variables, and the state equation is a group of independent first-order differential equations expressed by the state variables. Equations of state with standard forms can be analyzed and solved using various well-established numerical calculation programs. The only problem is that the equation of state is usually not directly available. For a slightly complex medium-scale circuit network, it must be obtained through complex topology analysis with the help of the knowledge of network graph theory. It is generally believed that the formulation of sta...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/11
Inventor 纪锋贺之渊刘杰高冲
Owner GLOBAL ENERGY INTERCONNECTION RES INST CO LTD
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