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Step Size Control in the Transient Analysis of Electrical Networks

IP.com Disclosure Number: IPCOM000075664D
Original Publication Date: 1971-Oct-01
Included in the Prior Art Database: 2005-Feb-24
Document File: 2 page(s) / 34K

Publishing Venue

IBM

Related People

Gaumann, G: AUTHOR [+2]

Abstract

Transient analysis programs normally use automatic step size control by which the integration interval is permanently adjusted to the momentary state. If nonlinear elements are present in a system step size control is most of all affected by the number of iteration passed required to reach convergence at all nonlinearities. A particular time step will be terminated after convergence has been found, and a test will be made on the number of passes needed as well as on the changes of all state variables (energy stored in C's and L's) with regard to the preceding time step. Dependent on the test criteria used, a guess is made at the step size to be used for the next step. The size may be halved, if more than a certain number of passes has been used and/or the state variables change too much.

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Step Size Control in the Transient Analysis of Electrical Networks

Transient analysis programs normally use automatic step size control by which the integration interval is permanently adjusted to the momentary state. If nonlinear elements are present in a system step size control is most of all affected by the number of iteration passed required to reach convergence at all nonlinearities. A particular time step will be terminated after convergence has been found, and a test will be made on the number of passes needed as well as on the changes of all state variables (energy stored in C's and L's) with regard to the preceding time step. Dependent on the test criteria used, a guess is made at the step size to be used for the next step. The size may be halved, if more than a certain number of passes has been used and/or the state variables change too much. On the other hand, the size may be kept or even doubled, if a certain number of passes has been used and/or the state variables change too much. On the other hand, the size may be kept or even doubled, if the system is in a "soft" state. The step size should be increased as often as possible, since this reduces the total number of steps required for the analysis, which in turn minimizes the overall computing time. Generally, step size control during analysis is made regardless of the change of the output variables in a system, all of part of which are finally plotted as a function of the time, using a constant pre...