Frequency domain continuation method for the analysis and stability investigation of nonlinear microwave circuits

Hente, D.; Jansen, Rob

doi:10.1049/ip-h-2.1986.0064

Cited by 70 publications

(26 citation statements)

References 7 publications

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“…Figure 3 the use of time-domain integration methods. The obtained period has also been compared with the values given in reference [4]. Good agreement has been observed in both cases.…”

Section: + +~~= -P ( + )supporting

confidence: 53%

A discrete-time equivalent system approach to the periodic response of nonlinear autonomous circuits

Schönwälder

Sans

Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94

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The problem of computing the steady state response of nonlinear autonomous circuits is solved making use of a discrete-time equivalent system approach. With the application of an s-plane to z-plane mapping, the circuit equations are discretized and written in vector form. Using t h u s technique, it is not necessary to repeatedly compute transforms between the time and the frequency domain. An efficient scheme to build the jacobian matrix with exact partial derivatives with respect to the oscillation period and with respect to the samples of the unknown variables is described. Application examples on tvm widely studied circuits are provided to validate the proposed technique.

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“…Figure 3 the use of time-domain integration methods. The obtained period has also been compared with the values given in reference [4]. Good agreement has been observed in both cases.…”

Section: + +~~= -P ( + )supporting

confidence: 53%

A discrete-time equivalent system approach to the periodic response of nonlinear autonomous circuits

Schönwälder

Sans

Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94

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“…In order to prevent the solving algorithm from converging to such solution, continuation with either natural or artificial embedding is normnally used [7].…”

Section: Hii the Degenerate Solution Problemmentioning

confidence: 99%

Simulation of Autonomous Nonlinear Microwave Circuits by Krylov-Subspace Methods

Rizzoli

Mastri

Costanzo

1999

29th European Microwave Conference, 1999

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The paper discusses a novel approach to autonomous nonlinear microwave circuit simulation by the harmonic-balance (HB) technique coupled with Krylov-subspace methods. A new formulation of the nonlinear solving system for autonomous circuits is introduced. This consists of the ordinary HB system for the forced case, with the addition of one equation used to fix the arbitrary phase of the autonomous regime. In this way, the iterative solution schemes already available for the forced case can be substantially reused in the autonomous case, with a negligible overhead due to the additional equation. Further equations may be added to impose* additional contraints, e.g., to hold constant the magnitude of a selected harmonic in order to suppress the degenerate solution.

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“…In each continuation step the nonlinear parameterized system equations and the parameterization equation are solved simuitaneously f(x,) = o, (2) p(X,~) = Z(zX _ )2 + (e-_ )2 _ (ac)2 = 0 N xJ denotes the state variables in the previous step and Ac denotes the step size in the actual step. Thus the paameteriaton funcion p determines the s between the solution in the previous and the actual step.…”

Section: Continuation Methoods For Oscillator Simulationmentioning

confidence: 99%

Robust continuation method for tuning characteristics computation and global stability analysis of microwave oscillators

Fillebock

Russer

1995

25th European Microwave Conference, 1995

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A continuation method for the computation of the tuning characteristics of microwave oscillators, based on a predictor corrector algorithm, is preserted. As specia attenton is directed to robustness of the path following procedure the simulaton software based on this method aliowes completely auWtoatied parameter studies.The method is applied to the simulation of a 15 GHz microwave oscillator where dependence of output power and oscillation frequency on a bias voltage are studied.

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Frequency domain continuation method for the analysis and stability investigation of nonlinear microwave circuits

Cited by 70 publications

References 7 publications

A discrete-time equivalent system approach to the periodic response of nonlinear autonomous circuits

A discrete-time equivalent system approach to the periodic response of nonlinear autonomous circuits

Simulation of Autonomous Nonlinear Microwave Circuits by Krylov-Subspace Methods

Robust continuation method for tuning characteristics computation and global stability analysis of microwave oscillators

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