由美國電力研究會EPRI所開發的開源式配電系統分析軟體(Open distribution system simulator, OpenDSS)，主要用於配電系統穩態電力潮流與諧波電力潮流分析。在實際諧波分析應用中，通常會配合使用單通及高通濾波器使諧波濾除的效果更加卓越，然而OpenDSS軟體中並無高通濾波器模型，難以達成全面且可靠的濾波效果。除此之外，當並聯元件與系統產生諧波並聯共振時，諧波電力潮流存在計算上的瑕疵。本文提出一種基於注入電流等效被動濾波器模型，有助於彌補OpenDSS無高通濾波器缺陷，此外基於此方法能有效避免因諧波並聯共振產生的誤差，對於配電系統諧波分析及被動濾波器設計將有更高的準確性及實用性。

Open distribution system simulator (OpenDSS) is an open-source software developed by the Electric Power Research Institute (EPRI) in the United States for distribution systems analysis. OpenDSS is primarily used in distribution systems for fundamental power flow (FPF) and harmonic power flow (HPF). Single-tune and high-order filters are often combined to achieve better harmonic filtering performance in practical harmonic analysis applications. However, OpenDSS software requires high-order filter models, making it difficult to simulate comprehensive and reliable filtering results. Moreover, HPF calculation errors occur when shunt components and power system exhibit harmonic resonance. This study proposes passive power filter models based on the injected current technique, helping to compensate for the deficiency of high-order filters in OpenDSS. Furthermore, the proposed method can effectively avoid parallel harmonic resonance errors, resulting in higher accuracy and practicability for the HPF and PPFs model in distribution systems.

[1] R. C. Dugaan, M. F. McGranaghan, and S. Santosa, Electrical Power Systems Quality. McGraw-Hill, 2003.
[2] J. Grainger and S. Lee, "Optimum Size and Location of Shunt Capacitors for Reduction of Losses on Distribution Feeders," IEEE Transactions on Power Apparatus and Systems, pp. 1105-1118, 1981.
[3] Y. Baghzouz, "Effects of Nonlinear Loads on Optimal Capacitor Placement in Radial Feeders," IEEE Transactions on Power Delivery, pp. 245-251, 1991.
[4] N. Chang, "Locating Shunt Capacitors on Primary Feeder for Voltage Control and Loss Reduction," IEEE Transactions on Power Apparatus and Systems, pp. 1574-1577, 1969.
[5] D. Çelik, "Lyapunov Based Harmonic Compensation and Charging with Three Phase Shunt Active Power Filter in Electrical Vehicle Applications," International Journal of Electrical Power Energy Systems, p. 107564, 2022.
[6] S. H. Hamouda, S. H. A. Aleem, and A. M. Ibrahim, "Harmonic Resonance Index and Resonance Severity Estimation for Shunt Capacitor Applications in Industrial Power Systems," International Middle-East Power System Conference, MEPCON, pp. 527-532, 2017.
[7] X. Wenyuan, J. R. Marti, and H. W. Dommel, "A Multiphase Harmonic Load Flow Solution Technique," IEEE Power Engineering Review, p. 54, 1991.
[8] Y. H. Yan, C. S. Chen, C. S. Moo, and C. T. Hsu, "Harmonic Analysis for Industrial Customers," IEEE Transactions on Industry Applications, pp. 462-468, 1994.
[9] J.-H. Teng and C.-Y. Chang, "Backward/Forward Sweep-Based Harmonic Analysis Method for Distribution Systems," IEEE Transactions on Power Delivery, vol. 22, no. 3, pp. 1665-1672, 2007.
[10] N. C. Yang and M. D. Le, "Three‐Phase Harmonic Power Flow by Direct ZBUS Method for Unbalanced Radial Distribution Systems with Passive Power Filters," IET Generation, Transmission Distribution, pp. 3211-3219, 2016.
[11] W. Xu, Z. Huang, Y. Cui, and H. Wang, "Harmonic Resonance Mode Analysis," IEEE Transactions on Power Delivery, pp. 1182-1190, 2005.
[12] R. C. Dugan and T. McDermott, "Reference Guide," The Open Distribution System Simulator . EPRI, 2016.
[13] W. Kersting and R. Green, "The Application of Carson's Equation to the Steady-State Analysis of Distribution Feeders," 2011 IEEE/PES power systems conference and exposition, pp. 1-6, 2011.
[14] D. Montenegro and R. Dugan, "How to Speed Up Your Co-Simulation Using OpenDSS COM Interface," 2015.
[15] B. Vallée, "Gauss' Algorithm Revisited," Journal of Algorithms, pp. 556-572, 1991.
[16] T. A. Davis and E. Palamadai Natarajan, "Algorithm 907," ACM Transactions on Mathematical Software, pp. 1-17, 2010.
[17] N.-C. Yang and M.-D. Le, "Loop Frame of Reference Based Harmonic Power Flow for Unbalanced Radial Distribution Systems," International Journal of Electrical Power & Energy Systems, pp. 128-135, 2016.
[18] J. Xiao and A. M. Gole, "A Frequency Scanning Method for the Identification of Harmonic Instabilities in HVDC Systems," IEEE Transactions on Power Delivery, pp. 1875-1881, 1995.
[19] N.-C. Yang and E. W. Adinda, "Matpower-Based Harmonic Power Flow Analysis for Power Systems with Passive Power Filters," IEEE Access, 2021.
[20] "IEEE Standard for Harmonic Control in Electric Power Systems," IEEE Std 519-2022, pp. 1-31, 2022.