Abstract
Electromagnetic Transients Program make extensive use of transmission line models for the simulation of electromagnetic transients. This paper proposes a circuit representation of the modal transformation, more specifically Clarke’s matrix. The arrangement of ideal transformers we propose allows modal transformation to be directly implemented in software such as Alternative Transient Program - Electromagnetic Transients Program. We combined the proposed circuit with single-phase transmission line models that consider frequency independent and frequency dependent parameters to represent transposed three-phase transmission lines. The main advantage of the proposed approach is that it allows the implementation of new transmission line models without depending on models provided in applications. To show this capability, we included the frequency dependence of soil parameters in the simulations. Results show that the proposed model is accurate both in the frequency domain and in the time domain.
Highlights
T RANSMISSION line (TL) modeling had been widely studied in the last decades for fault detection [1], analysis of electromagnetic transients in the frequency domain [2], fault prevention [3], medicine [4], and other applications
We propose to use an arrangement of ideal transformers to decouple transposed three-phase TLs into their exact modes
We used the frequency sweep function of the ATP-EMTP to obtain the input impedance of PhasPeh(adseegr(egre)aus) phase 1 when the TL is represented by the proposed model (PM) and the ATP’s Bergeron line model (ATP)
Summary
T RANSMISSION line (TL) modeling had been widely studied in the last decades for fault detection [1], analysis of electromagnetic transients in the frequency domain [2], fault prevention [3], medicine [4], and other applications. The ATP-EMTP, the PSCAD, and the EMTP-RV are specialized software for the simulation of transient phenomena of electromagnetic and electromechanical nature in power systems They include specialized libraries containing state-of-the-art models that represent power electronics, transmission lines, transformers, mechanical equipment, and many other devices. TL models implemented in the ATP-EMTP software have their phase domain equations embedded in the nodal equations of the entire circuit These equations implicitly contain the equations of each propagation mode and the modal transformation matrix used to decouple the TL in its modes [5]. When combined with single-phase TL models, the proposed approach results in multiconductor TL models that can be implemented in any EMTP-like simulation software. Other TL models such as the one presented in [13] can be combined with the proposed approach
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