Power flow analyses constitute an effective tool in determining the steady state solution of power systems. Hence they play a fundamental role in the investigation and design of such systems. The present work revisits a distributed slack bus model, adapts it to the resolution of three-phase (unbalanced) power systems by Newton’s method, and implements it in a computer program. The model takes into consideration economic power transactions between areas of a network, as well as the variation in network frequency resulting from load versus generated power perturbations and ensuing control operations. As an initial investigation, a single slack bus model that assumes a constant frequency is also described and implemented. Various component admittance matrices are derived explicitly. Single-phase components are also implemented in order to facilitate the treatment of unbalanced loads, and to permit the study of systems that comprise both transmission and distribution elements. In addition, the voltages at specified buses can be regulated through the operation of tap changers installed on threephase and single-phase transformers. The implementation code is discussed in detail. High computation speeds could be reached by devising several array-based procedures, among other measures. A number of numerical examples are presented, among which is a large network containing 3000 three-phase buses (9000 nodes). As it should, in every case the imposed conditions are met, and the balance in power is respected at every bus.
| Date | 29 Sept 2016 |
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| Original language | American English |
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| Awarding Institution | - École de technologie supérieure
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| Supervisor | Pierre Jean Lagacé (Supervisor) & Maarouf Saad (Co-supervisor) |
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Aubert, S. (Author), Lagacé (Supervisor) &
Saad (Co-supervisor),
29 Sept 2016Student thesis: Master's thesis › Master in Engineering: Electrical Engineering