A waveform relaxation technique for steady state initialization of circuits with nonlinear elements and ideal diodes

Wang, Q.; Martí, José

doi:10.1109/61.517502

Cited by 16 publications

(6 citation statements)

References 9 publications

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“…Later, Densem et al pointed out that the network must be modeled in phase coordinates since noncharacteristic harmonics cannot be properly evaluated by a positive-sequence circuit [3]. Subsequently proposed multiphase methods can be classified, in terms of their formulation methodologies, into three categories: harmonic domain methods [4]- [8], time domain methods [9], [10], and hy- brid methods [11], [12]. The harmonic domain methods deal with all network elements in the harmonic domain.…”

Section: Introductionmentioning

confidence: 98%

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Entirely Harmonic Domain Calculation of Multiphase Nonsinusoidal Steady State

Noda

Semlyen

Iravani

2004

IEEE Trans. Power Delivery

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This paper proposes an algorithm for obtaining the periodic steady-state solution of a multiphase network including nonlinear, switching, and frequency dependent elements. Unlike existing methods which deal with nonlinear and switching elements in the time domain, the approach presented is entirely in the harmonic domain. The method will be used for the harmonic analysis of power systems and for steady-state initialization in electromagnetic transient analysis. The algorithm takes rigorously into account the inter-harmonic couplings in the Jacobian matrix of the proposed Newton-Raphson iteration process so that a quadratic convergence rate is achieved. Linear, nonlinear, switching, and frequency dependent elements are modeled in a modular approach, and any network topology can be handled by extending the Modified Nodal Equations approach to the harmonic domain case. First the algorithm is described and then applied to a test case to demonstrate its computational performance.

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Section: Introductionmentioning

confidence: 98%

“…If we decide to preserve 10 digits for obtaining the solution using a 16-digit floating-point processor, the largest impedance (in the network) multiplied by10 is set to r and the largest admittance multiplied by 10 to g .…”

mentioning

confidence: 99%

Entirely Harmonic Domain Calculation of Multiphase Nonsinusoidal Steady State

Noda

Semlyen

Iravani

2004

IEEE Trans. Power Delivery

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“…If the simulated system has large time constants, the brute-force approach may lead to slow convergence to steady-state and long simulation time. Several methods [19]- [21] such as the shooting method, Newton-type method and waveform relaxation techniques have been proposed to speed up the convergence.…”

Section: Introductionmentioning

confidence: 99%

Real-Time Digital Time-Varying Harmonic Modeling and Simulation Techniques IEEE Task Force on Harmonics Modeling and Simulation

Pak

Dinavahi

Chang

et al. 2007

IEEE Trans. Power Delivery

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With the growing importance of power quality problems to electric utilities and customers, there is an increased focus on the search for new tools and techniques for accurate analysis and resolution of such problems. This paper reviews currently available techniques for the modeling and simulation of time-varying harmonics in real-time. Following a brief summary of the currently used off-line harmonics modeling and simulation methods, the principles and system element representations using wave digital filter (WDF) and discrete wavelet transform (DWT) methods are discussed. Hardware and software architectures of real-time network simulator (RTNS), HYPERSIM, and PC-cluster based real-time simulator are presented. Towards the end, two case studies are given to demonstrate the real-time analysis of time-varying harmonics generated by a three-phase arc furnace using the PC-cluster based real-time simulator, and a real-time hardware-in-the-loop (HIL) equipment testing using the real-time digital simulator (RTDS).

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“…Therefore, algorithms must be extremely efficient since they are repeated a lot of times to reach convergence. A wide spectrum of steady-state analysis algorithms have been elaborated, so far, for these circuits [1], [2], [7], [9], [13], [17], [18], [22], [24], [28], [29], [30], [33], [39], [45], [57], [60], [62], [66]. One of very efficient approaches is the secant method [7], [39], implemented in SWITCH [40], [41] and OPTIMA [39].…”

mentioning

confidence: 99%

Computer-Aided Multi-Layer Design of Switch-Mode Power Circuits

Wojciechowski¹,

Modzelewski²,

Ogrodzki³

et al. 2010

International Journal of Electronics and Telecommunications

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Computer-Aided Multi-Layer Design of Switch-Mode Power CircuitsSwitch-mode circuits are used as power processors, e.g. DC/DC converters, synchronous rectifiers, high-frequency resonant power amplifiers. Their efficient computer-aided design is a technical problem only partly resolved so far. This paper presents a multi-layer CAD methodology for switch-mode power circuits. It discusses several levels of modeling of switching devices. First rough design verification is feasible using ideal switch models. It gives a satisfactory first-cut design. Then full models and general-purpose tools provide more exact verification of the design. At this exact step the design procedure makes use of interactive improvement followed by automatic optimization of some quality based objective functions. The proposed methodology is shown to be especially useful for high power class-D voltage-switching resonant amplifiers, where the so far used experimental optimization is extremely cost consuming.

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A waveform relaxation technique for steady state initialization of circuits with nonlinear elements and ideal diodes

Cited by 16 publications

References 9 publications

Entirely Harmonic Domain Calculation of Multiphase Nonsinusoidal Steady State

Entirely Harmonic Domain Calculation of Multiphase Nonsinusoidal Steady State

Real-Time Digital Time-Varying Harmonic Modeling and Simulation Techniques IEEE Task Force on Harmonics Modeling and Simulation

Computer-Aided Multi-Layer Design of Switch-Mode Power Circuits

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