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The paper develops a general mathematical model for the analysis of the interconnected earthing systems. The mutual interacting of earthing systems through the soil, admittances of interconnecting ties as well as the emfs induced therein, due to fault currents, are taken into account. Various circumstances which can appear in actual conditions are discussed as special cases. An example from the practice illustrates the application of the method suggested and gives an idea on the effects of various parameters upon the current and voltage conditions at earthing systems.
Übersicht
Das Manuskript entwickelt ein allgemeines mathematisches Modell für die Analyse von verbundenen Erdungsanlagen. Der gegenseitige Einfluß der Erdungsanlagen durch den Boden, die Admittanzen von den Verbundleitern sowie die EMK, die in den Verbindungen von den Fehlerströmen induziert sind, werden in Rechnung genommen. Die verschiedenen Situationen, die in praktischen Bedingungen eintreten können, sind als spezielle Fälle des allgemeinen Modells betrachtet. Ein Beispiel aus der Praxis illustriert die Anwendung der vorgeschlagenen Methode und gibt eine Idee über die Einflüsse, die verschiedene Parameter haben können auf die Strom-Spannungs-Verhältnisse bei den Erdungsanlagen.
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Abbreviations
- i (k) j :
-
current discharging from elementj of earthing systemk
- r (k) pg :
-
mutual (p≠q) earth resistance between elementsp andq of the earthing systemk
- r (k) pp :
-
self earth resistance of elementp of the earthing systemj
- r (kj) pq :
-
mutual earth resistance between elementp of earthing systemk and elementq of earthing systemj
- r (k) jP :
-
mutual earth resistance between elementj of earthing systemk and pointP
- n :
-
number of earthing systems (nodes)
- \(\begin{gathered} n_j \hfill \\ n_T = \sum\limits_{j = 1}^n {n_j } \hfill \\ \end{gathered} \) :
-
number of elements of earthing systemj
- [a kj ]k=1, ...,n k ;j=1, ...,n j :
-
n k ×n j -dimensional matrix with entriesa ki
- a t,a −1 :
-
transpose and inverse matrix ofa
- diag [a i ]i=1, ...,n :
-
n×n-dimensional diagonal matrix of entriesa i
- \(A\left| {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\alpha } } \right.\) :
-
effective value (A) and phase angle (α) of an earthing system quantity
References
Dawalibi, F., Mudhedkar, D.: Multistep analysis of interconnected grounding electrodes. IEEE Trans. PAS-95 (1976) 113–119
Dawalibi, F., Mudhedkar, D.: Resistance calculation of interconnected grounding electrodes. IEEE Trans. PAS-96 (1977) 59–65
Dawalibi, F., Mudhedkar, D.: Transferred earth potentials in power systems. IEEE Trans. PAS-97 (1978) 90–101
Nahman, J., Digital calculation of earthing systems in nonuniform soil. Arch. für Elektrotechn. 62 (1980) 19–24
Stag, G., El-Abiad, A.: Computer methods in power system analysis. New York, London: McGraw-Hill 1968
Nahman, J., Skuletich, S., Resistances to ground and mesh voltages of ground grids. Proc. IEE 126 (1979) 57–61
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Nahman, J.M. Analysis of interconnected earthing systems. Archiv f. Elektrotechnik 63, 261–265 (1981). https://doi.org/10.1007/BF01574883
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DOI: https://doi.org/10.1007/BF01574883