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Proceedings of CICC 97 - Custom Integrated Circuits Conference, 2002
Fast and accurate computation of the steady-state response of large nonlinear networks under periodic and quasi-periodic drive is a key simulation problem for integrated RF designs. In this paper we describe recent work which extends the method of Harmonic Balance to networks containing several million unknowns. A new implementation is described, which
D. Long +3 more
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Fast and accurate computation of the steady-state response of large nonlinear networks under periodic and quasi-periodic drive is a key simulation problem for integrated RF designs. In this paper we describe recent work which extends the method of Harmonic Balance to networks containing several million unknowns. A new implementation is described, which
D. Long +3 more
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Proceedings 1999 Design Automation Conference (Cat. No. 99CH36361), 1999
Matrix-implicit Krylov-subspace methods have made it possible to efficiently compute the periodic steady-state of large circuits using either the time-domain shooting-Newton method or the frequency-domain harmonic balance method. However, the harmonic balance methods are not so efficient at computing steady-state solutions with rapid transitions, and ...
Ognen J. Nastov, Jacob K. White
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Matrix-implicit Krylov-subspace methods have made it possible to efficiently compute the periodic steady-state of large circuits using either the time-domain shooting-Newton method or the frequency-domain harmonic balance method. However, the harmonic balance methods are not so efficient at computing steady-state solutions with rapid transitions, and ...
Ognen J. Nastov, Jacob K. White
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1990
This chapter describes practical algorithms for implementing harmonic balance. Most of these algorithms have been implemented and tested in Spectre, a simulation program suitable for analog and microwave circuits. There are two fundamental ideas presented in this chapter.
Kenneth S. Kundert +2 more
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This chapter describes practical algorithms for implementing harmonic balance. Most of these algorithms have been implemented and tested in Spectre, a simulation program suitable for analog and microwave circuits. There are two fundamental ideas presented in this chapter.
Kenneth S. Kundert +2 more
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1990
Harmonic balance differs from traditional transient analysis in two fundamental ways. These differences allow harmonic balance to compute periodic and quasiperiodic solutions directly and in certain circumstances give the method significant advantages in terms of accuracy and efficiency.
Kenneth S. Kundert +2 more
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Harmonic balance differs from traditional transient analysis in two fundamental ways. These differences allow harmonic balance to compute periodic and quasiperiodic solutions directly and in certain circumstances give the method significant advantages in terms of accuracy and efficiency.
Kenneth S. Kundert +2 more
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A new development of the harmonic balance method: The hybrid harmonic balance method
Analysis and ApplicationsThe harmonic balance (HB) method is efficient in predicting the limit cycle oscillations for many dynamic systems including very high dimensional systems in fluid dynamics. Recently, some variations and extensions of the HB method have been developed and employed in the computation of large systems.
Liping Liu +2 more
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VCO Linearization Using Harmonic Balance
2006 IEEE MTT-S International Microwave Symposium Digest, 2006In this work, different techniques are proposed for the computer aided design of voltage-controlled oscillators (VCO). The first technique allows setting the operation frequency band for specific values of the tuning voltage. The second technique imposes a linear frequency-voltage characteristic with the aid of an auxiliary generator.
Jacobo Dominguez +2 more
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2019
Harmonic Balance relies on the representation of time-periodic variables as Fourier series. Hence, we first compile useful definitions, notation, and theory of Fourier analysis. Next, we mathematically formulate the problem of finding periodic solutions of differential equation systems.
Malte Krack, Johann Gross
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Harmonic Balance relies on the representation of time-periodic variables as Fourier series. Hence, we first compile useful definitions, notation, and theory of Fourier analysis. Next, we mathematically formulate the problem of finding periodic solutions of differential equation systems.
Malte Krack, Johann Gross
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Extended harmonic balance method
IEE Proceedings - Circuits, Devices and Systems, 1994A new approach for frequency domain analysis and periodic steady state analysis of nonlinear circuits is described. Beside the variables generally used in the harmonic balance method (HBM) this method also uses a reduced waveform as a function of time.
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Multirate harmonic balance simulation
SCS 2003. International Symposium on Signals, Circuits and Systems. Proceedings (Cat. No.03EX720), 2004The paper investigates a new multi-tone harmonic balance approach based on multivariate representation of multirate signals. The proposed algorithm generates the new Newton-Raphson iterate using an iterative method based on Krylov subspaces - namely the GMRES method.
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SOME ADVANCES OF THE HARMONIC BALANCE METHOD
Journal of Sound and Vibration, 1996-
Senjanović, Ivo, Fan, Ying
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