UDC 519.876.5:519.622.2
REDUCED BEHAVIORAL MODEL OF LINEAR DYNAMIC BLOCK FOR CIRCUIT SIMULATION PROBLEMS
M. M. Gourary, PhD (technical sciences), senior research associate, IPPM RAS; This email address is being protected from spambots. You need JavaScript enabled to view it.
M. M. Zharov, PhD (technical sciences), leading research associate, IPPM RAS; This email address is being protected from spambots. You need JavaScript enabled to view it.
S. G. Rusakov, Dr. in technical sciences, principal research associate, IPPM RAS; This email address is being protected from spambots. You need JavaScript enabled to view it.
S. L. Ulyanov, Dr. in technical sciences, principal research associate, IPPM RAS; This email address is being protected from spambots. You need JavaScript enabled to view it.
The problem of the circuit simulation of electronic networks containing linear multiport blocks with rational or delayed-rational frequency domain transfer functions is considered. The aim of the work is the development of mathematical methods, software tools and methodological guidelines for the inclusion of arbitrary linear blocks into the set of circuit simulator components. The relevance of the study is resulted from the necessity for electromagnetic interactions analyses in integrating circuits design. The results obtained in investigations are the following. The system of differential equations with respect to input and output variables of rational transfer function is formulated using state space method. Similar system is given for delayed-rational transfer functions and both systems are embedded into the circuit equations. Proposed numerical method to solve delayed differential equations by the application of implicit linear multistep formulae does not restrict the stepsize by the minimal delay value. Developed method to eliminate internal variables of linear blocks reduces the system order to the same value as for frequency independent transfer factors. The update of the SPICE3 source code and its net-list structure provided the description of basic two-port networks with arbitrary delayed-rational transfer function. The technique to represent an arbitrary multiport linear block as the connection of basic two-port networks is developed. The numerical experiments performed confirmed the validity of proposed approaches.
Key words: linear dynamical system, multiport blocks, implicit multistep integration formulae, transfer function, differential equations, delay differential equations, circuit simulation, electromagnetic interactions, net-list.