This paper presents a review with a concise description and analysis of the fundamentals, characteristics, analytical details, merits, and drawbacks associated with existing methods in frequency and time domain for harmonic analysis in practical power networks. The description and analysis are centered on methods developed in the harmonic domain, hybrid frequency-time domain, and time domain, respectively. Validation of the reviewed methods for harmonic analysis, against one of the widely accepted digital simulators, such as EMTP, EMTDC, or MATLAB/SIMULINK, is reported in the cited individual contributions.

Harmonic Analysis in Frequency and Time Domain

This paper presents a methodology to obtain a discrete-time state-space representation of an electrical network using the nodal [G] matrix of the Electromagnetic Transients Program (EMTP) solution. Compared with conventional state-space solutions, the nodal EMTP solution is computationally very efficient. Compared with the phasor solutions used in transient stability analysis, the proposed approach may capture a wider range of eigenvalues and system operating states. An important advantage of extracting the system eigenvalues from the EMTP solution is the ability of the EMTP to follow the characteristics of nonlinearities. In addition, the algorithm can be used as a tool to identify network partitioning subsystems suitable for real-time hybrid power system simulator environments, including the implementation of multi-time-scale solutions. The proposed technique can be implemented as an extension of an EMTP-based simulator. Within our research group at UBC, it is aimed at extending the capabilities of our real-time PC-cluster Object Virtual Network Integrator (OVNI) simulator.

/pdf/step-by-step-eigenvalue-analysis-with-emtp-discrete-time-xcdw98wgsp.pdf

Step-by-Step Eigenvalue Analysis With EMTP discrete-time Solutions

Steady-state simulation plays a vital role in power system analysis and design. Over the past 25 plus years, various steady-state methods have been proposed. Most of these methods only deal with how to obtain steady-state waveforms of a system in an efficient manner. Only a few of them also take power-flow constraints into account. The majority of these “power-flow” methods are implemented in the frequency domain, which inevitably suffers from harmonic truncation errors. Moreover, the problem of model incompatibility will rise when they are used for the steady-state initialization of a time-domain electromagnetic transient (EMT) program. This paper presents a harmonic power-flow method, which is implemented entirely in the time domain. The proposed method essentially extends a time-domain steady-state method, called “shooting method” to include the power-flow constraints and to account for aggregate loads in the power-flow calculations.

A Time-Domain Harmonic Power-Flow Algorithm for Obtaining Nonsinusoidal Steady-State Solutions

......................................................................................................................... i ACKNOWLEDGMENTS .................................................................................................... iii TABLE OF CONTENTS ..................................................................................................... iv LIST OF FIGURES .............................................................................................................. viii CHAPTER

/pdf/parameter-estimation-for-transformer-modeling-1mcog11mjt.pdf

Parameter estimation for transformer modeling

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.

/pdf/entirely-harmonic-domain-calculation-of-multiphase-3vq35i59uq.pdf

Entirely harmonic domain calculation of multiphase nonsinusoidal steady state

A methodology is presented for the formulation and solution of power networks containing a class of nonlinear elements within the framework of electromagnetic transient programs. The method facilitates steady-state initialization formulated in the time-domain as a two-point boundary value problem. The techniques developed are applied to a simple power network exhibiting harmonics due to transformer saturation. >

Nonlinear elements in the EMTP: steady-state initialization

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Nonlinear elements in the EMTP: steady-state initialization