A Method for Generating Adjoint Model of Constant Impedance with Variable Step Size Components
An adjoint model and constant impedance technology, applied in the field of component adjoint model generation, can solve the problems of non-state variables oscillating back and forth, not L stability, etc.
Active Publication Date: 2021-10-22
范圣韬 +1
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[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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[0029] Below by embodiment the present invention is further described as supplementary:
[0030] For example, for figure 2 The inductance shown 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 formula (6) or formula (9), the new adjoint model parameters can be obtained as:
[0034] The admittance g has not changed, and it is still calculated by formula (10); while the Norton equivalent current can be calculated by formula (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 directly discretizing the inductance using the half-step backward Euler method.
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The present invention proposes a constant impedance variable step element adjoint model, for the element model in the electromagnetic transient simulation program can be expressed in the form of Norton equivalent or Thevenin equivalent, for Norton equivalent or Thevenin equivalent voltage and The current is linearly interpolated to obtain a component adjoint model with constant impedance or admittance, which can avoid changes in the system admittance matrix when capturing accurate event moments and suppressing numerical oscillations, greatly improving calculation efficiency; at the same time, due to the newly obtained component model It has the same structural form as the original component model, and its implementation does not need to adjust the existing structure of the program, so it is easy to implement.
Description
technical field [0001] The invention relates to a method for generating an element adjoint model with constant impedance when the step size is changed, which can be used for event processing and numerical oscillation suppression in simulation calculations, and belongs to the fields of electromagnetic transient simulation of electric power systems, computer-aided circuit analysis technology, and the like. Background technique [0002] In electromagnetic transient simulation programs, in order to simulate nonlinear components such as power electronic equipment, ideal switches or piecewise linearized nonlinear resistance simulations can usually be used; electromagnetic transient simulation programs need to effectively handle the state changes of these power electronic equipment components resulting events. The traditional electromagnetic transient simulation program uses fixed-step simulation, but the action time of power electronic devices may fall between the simulation steps...
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IPC IPC(8): G06F30/20
Inventor 范圣韬王良
Owner 范圣韬