Test Systems for Harmonics Modeling and Simulation
Task Force on Harmonics Modeling and Simulation* Transmission & Distribution Committee IEEE Power Engineering Society Abstract - This paper presents three harmonic simulation test systems. The purpose is to demonstrate guidelines for the preparation and analysis of harmonic problems through case studies and simulation examples. The systems can also be used as benchmark systems for the development of new harmonic simulation methods and for the evaluation of existing harmonic analysis software. 11.1 Introduction Harmonic studies have become an important aspect of power system analysis and design in recent years. Harmonic simulations are used to quantify the distortion in voltage and current waveforms in a power system and to determine the existence and mitigation of resonant conditions. Many digital computer programs are available for harmonic analysis. New analysis techniques are being developed. With a wide variety of solution methods and modeling assumptions implemented in many different programs, there is a need for benchmark test systems so that the features and results of the programs can be evaluated and compared. This paper presents the complete data for three harmonic simulation test systems. The purpose is to demonstrate guidelines for the preparation and analysis of harmonic problems through case studies and simulation examples. Several aspects that can impact the accuracy of results such as modeling of components and solution methods are illustrated. The benchmark information provided in the paper is also useful for the development of new harmonic simulation methods and for the evaluation of existing harmonic analysis software. The test systems represent the most common harmonic study scenarios encountered in industry. Sample results are provided in the paper. More information on the test systems and results can be obtained at http://www.ee.ualberta.ca/pwrsys/harmonics.html. 11.2 Test System No.1: A 14-Bus Balanced Transmission System This test system contains two harmonic sources. One is a twelve-pulse HVDC terminal at bus 3 and the other is a SVC at bus 8 (Figure 11.1 and Figure 11.2). Task force members and contributors are: R. Abu-hashim, R. Burch, G. Chang, M. Grady, E. Gunther, M. Halpin, C. Hatziadoniu, Y. Liu, M. Marz, T. Ortmeyer, V. Rajagopalan, S. Ranade, P. Ribeiro (vice chair), T. Sims, W. Xu (chair, editor). Because the system has balanced bus loads and the transmission lines are transposed, a balanced harmonic analysis is generally sufficient for determining harmonic distortion levels in this case. Main harmonic analysis issues to be demonstrated by this test system are: 1. The need to solve fundamental frequency load flows for harmonic analysis. The load flow results affect the magnitudes and phase angles of the harmonic current injected from harmonic sources. Correct representation of the phase angles are important for systems with multiple harmonic sources . The harmonic filters can have a large impact on the load flow results. 2. The harmonic cancellation effects due to Y-Y and Y-Delta transformer connections (at the HVDC terminal) and the impact of other harmonic sources (the SVC). For this purpose, the HVDC terminal is modeled as two six-pulse harmonic sources. 3. The effects of using different line models such as the distributed-parameter model and the lumped pi-circuit model in harmonic resonance assessment. 13 14 12 11 1 C 6 9 4 8 7 SVC 10
3 2 G converter
Figure 11.1. Test System 1 - 14 Bus Transmission System
7 3 301 302 HVDC SVC 8
Figure 11.2. Harmonic Sources in Test System 1 Complete data for this system are shown in Tables 11.1 to 11.4. Key modeling and simulation features for this case are: 1. All transmission lines are modeled using a distributedparameter line model. Long line effects are included in the model. Figure 11.3 shows the effects of using different line models. The...
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