Natural gas network gas storage configuration method based on global sensitivity analysis
A technology of sensitivity analysis and configuration method, which is applied in the field of natural gas network storage configuration based on global sensitivity analysis, and can solve problems such as low calculation efficiency
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Embodiment 1
[0101] see figure 1 , a natural gas network storage configuration method based on global sensitivity analysis, mainly includes the following steps:
[0102] 1) Obtain the parameters of the natural gas network and establish a steady-state energy flow model of the natural gas network.
[0103] The natural gas network parameters mainly include gas source parameters, pipeline parameters, node gas load A=[x 1 ,x 2 ,···,x N ] T , the rank correlation coefficient of the gas load and the initial value of the equilibrium node pressure.
[0104] 2) Based on the randomness and rank correlation of node gas loads in the natural gas network, a gas load probability model F(x) that obeys a normal distribution is established, and all gas loads are sampled based on this model to obtain a node gas load sample matrix X .
[0105] The main steps of probability sampling are as follows
[0106] 1) Suppose there is 1 balanced node and N-1 unbalanced nodes in the natural gas network. The balan...
Embodiment 2
[0187] A method for configuring gas storage in a natural gas network based on global sensitivity analysis, which mainly includes the following steps:
[0188] 1) Obtain the parameters of the natural gas network and establish a steady-state energy flow model of the natural gas network.
[0189] 2) Based on the randomness and rank correlation of node gas load in the natural gas network, a gas load cumulative probability model F(x) that obeys normal distribution is established, and the gas load A is sampled to obtain the node gas load sample matrix X.
[0190] 3) Establish a natural gas steady-state energy flow model, substitute each group of gas load samples into the model as a known quantity, and use Newton's method to solve it, and obtain the sample vector y of the output variable y ED .
[0191] 4) Based on the existing load variable matrix X and output variable vector y ED , using the sparse polynomial chaos expansion method to calculate the global sensitivity index S of t...
Embodiment 3
[0194] A natural gas network gas storage configuration method based on global sensitivity analysis, the main steps are shown in embodiment 2, wherein, the main steps of sampling to obtain the node gas load sample matrix X are as follows:
[0195] 1) Suppose there is 1 balanced node and N-1 unbalanced nodes in the natural gas network. The balance node number is recorded as 1. All unbalanced nodes are connected with gas load. The location set of natural gas network nodes is denoted as The set of all nodes directly connected to any node a in the network is denoted as Set the number of samples to N ED . Set N-dimensional independent standard normal variables ξ=[ξ 1 , ξ 2 ,···,ξ N ] T .
[0196] 2) Establish a gas load cumulative probability model F(x) that obeys a normal distribution, namely:
[0197]
[0198] In the formula, x represents the gas load. X is an actual value of gas load. mu x is the average gas load. The mean value of gas load μ x Equal to the ai...
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