Редуцирование модели электрической схемы с учетом характеристик внешних цепей

Информационные технологии. 2018. Т. 24. № 9. С. 563–572.

Гурарий М. М., Жаров М. М., Русаков С. Г., Ulyanov S.

Main stages of projective model order reduction (MOR) methods for electrical circuits include model construction by Pade approximation, implementation of Krylov subspace methods for essential decrease of computational noise, application of congruent transform to save circuit passivity, using block-Krylov methods for multiport circuits and multipoint rational-Krylov algorithms to mitigate the redundancy of reduced models. The considerable drop in the redundancy was achieved by applying singular value decomposition and by adaptive choosing the expansion points to be used for the moment matching. Thus, further progress in redundancy elimination cannot be provided by the modifications improvement of basis construction algorithms, and other directions to decrease redundancy should be considered. Known methods suppose direct connection of signal sources to network ports, thus resulting in the network solutions that often cannot exist in the framework of real surrounding. Then the reduction algorithm to provide required accuracy for such solutions excessively increases the model order

Keywords: схемотехническое моделирование, автоматизация проектирования, design automation, circuit simulation, Krylov subspace, подпространство Крылова, model order reduction, linear subcircuit, projection methods, понижение порядка модели, линейная подсхема, проекционные методы