An optimal distribution network measurement configuration method based on improved 0-1 integer programming
An integer programming and distribution network optimization technology, applied in multi-objective optimization, forecasting, data processing applications, etc., can solve problems such as difficulties, slow speed, and inconformity with line synchronization measurement systems, so as to improve applicability and reduce costs Effect
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Embodiment 1
[0056] figure 1 It is the line connection diagram of the 18-node standard power distribution system. This system is a single power distribution network, and the connection load of each node is omitted. Number each node and each line, such as figure 1 As shown, there are 18 nodes and 17 lines in total.
[0057] Lines 1, 9, 10, 13, 15, and 17 in the figure are the lines connected to the end nodes, and all line measurement terminals must be configured (on both sides of the line), so that the parameters in the configuration matrix B can be corrected to determine the possible Some considerable nodes. After the correction, the 0-1 integer programming operation is performed, and the objective function is:
[0058]
[0059] The observability constraints listed according to Equation 6 are:
[0060]
[0061] There are 12 inequality equations in total. Through the integer programming of Lingo software, the optimized solution that can be obtained quickly is l5=l7=l11=1. Combin...
Embodiment 2
[0064] For the IEEE33 node power distribution system, each node and each line are also numbered, with a total of 33 nodes and 32 lines. According to the topology analysis, there are 5 lines connecting the end nodes. First, determine the measurement configuration here. After the matrix is corrected, an improved 0-1 integer programming operation can be performed according to formula 6, and an optimized solution can be obtained as image 3 shown.
[0065] In addition to the 5 lines connecting the end nodes, there are 12 lines that need to be equipped with measurement terminals, that is, at this time A total of 17 sets of line measurement terminals need to be configured. In fact, limited by the requirements of the line topology, this optimal configuration has redundant measurements: 8-9 branches, 9-10 branches, so it can be seen that there is more than one optimal configuration scheme at this time. We can constrain the value of individual parameters before the operation, and...
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