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Variable-step-size element companion model with constant impedance

A technology with adjoining model and constant impedance, which is applied in special data processing applications, instruments, electrical digital data processing, etc., can solve the problems of non-state variables oscillating back and forth, not L stability, etc., achieve simple implementation, improve computing efficiency, and The effect of conceptual clarity

Active Publication Date: 2017-05-03
范圣韬 +1
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  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0003] The electromagnetic transient simulation program usually uses the trapezoidal method. Although the trapezoidal method is A stable, it is not L stable; when there is a fast transient process in the system, if the simulation step size is too large for the transient process, it is very State variables can oscillate back and forth around the exact solution

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  • Variable-step-size element companion model with constant impedance
  • Variable-step-size element companion model with constant impedance
  • Variable-step-size element companion model with constant impedance

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Embodiment Construction

[0029] The following examples further supplement the present invention:

[0030] For example, for figure 2 The shown inductance is discretized using the trapezoidal method, and the parameters of the adjoint model of the component can be obtained as:

[0031]

[0032] i s (t)=gu(t)+i(t) (11)

[0033] Using (6) or (9), the new adjoint model parameters can be obtained as:

[0034] The admittance g has not changed and is still calculated by equation (10); while the Norton equivalent current can be calculated by equation (12).

[0035] i′ s (t)=i(t)+(2k-1)gu(t) (12)

[0036] When k is 1 / 2, it can be seen that the new adjoint model is exactly the same as the adjoint model obtained by using the half-step backward Euler method to directly discretize the inductor.

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Abstract

The invention provides a variable-step-size element companion model with constant impedance. An element model in an electromagnetic transient simulated program can be presented in a Norton equivalence or Thevenin equivalent way; and voltage and current in the Norton equivalence or the Thevenin equivalent can be subjected to linear interpolation so as to obtain the element companion model with constant impedance or admittance. Therefore, changes of a system admittance matrix at an accurate event capturing moment and a numerical value oscillation suppression moment can be avoided, so that computing efficiency is greatly improved; and meanwhile, the newly obtained element model has the same structural way as the original element model, so that the realization of the element model can be performed easily without adjusting the existing structure of the program.

Description

Technical field [0001] The invention relates to a component adjoint model with constant impedance when the step length changes, which can be used for event processing and numerical oscillation suppression in simulation calculation, and belongs to the fields of electromagnetic transient simulation of power systems and computer-aided circuit analysis technology. Background technique [0002] In the electromagnetic transient simulation program, in order to simulate non-linear components such as power electronic equipment, it is usually possible to use ideal switches or piecewise linearized nonlinear resistance simulation; the electromagnetic transient simulation program needs to effectively deal with the state changes of these power electronic equipment components The resulting event. The traditional electromagnetic transient simulation program adopts fixed-step simulation, but the action time of the power electronic device may fall between the simulation steps. In many cases, it is...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
Inventor 范圣韬
Owner 范圣韬