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| Chebyshev affine power flow calculation method for distribution networks considering correlation |
| DOI：10.19783/j.cnki.pspc.250131 |
| Key Words:distribution network interval power flow Chebyshev polynomial affine optimization model interval correlation |
| Author Name | Affiliation | | LIAO Xiaobing1 | 1. College of Electrical and Information Engineering, Wuhan Institute of Technology, Wuhan 430073, China
2. Economic Research Institute of State Grid Hubei Electric Power Company, Wuhan 430000, China
3. College of Information Engineering, Nanchang University, Nanchang 330031, China | | WEI Hanqi1 | 1. College of Electrical and Information Engineering, Wuhan Institute of Technology, Wuhan 430073, China
2. Economic Research Institute of State Grid Hubei Electric Power Company, Wuhan 430000, China
3. College of Information Engineering, Nanchang University, Nanchang 330031, China | | LI Zicheng11 | 1. College of Electrical and Information Engineering, Wuhan Institute of Technology, Wuhan 430073, China
2. Economic Research Institute of State Grid Hubei Electric Power Company, Wuhan 430000, China
3. College of Information Engineering, Nanchang University, Nanchang 330031, China | | ZHANG Yiming1 | 1. College of Electrical and Information Engineering, Wuhan Institute of Technology, Wuhan 430073, China
2. Economic Research Institute of State Grid Hubei Electric Power Company, Wuhan 430000, China
3. College of Information Engineering, Nanchang University, Nanchang 330031, China | | YANG Meng2 | 1. College of Electrical and Information Engineering, Wuhan Institute of Technology, Wuhan 430073, China
2. Economic Research Institute of State Grid Hubei Electric Power Company, Wuhan 430000, China
3. College of Information Engineering, Nanchang University, Nanchang 330031, China | | CHEN Xinyun3 | 1. College of Electrical and Information Engineering, Wuhan Institute of Technology, Wuhan 430073, China
2. Economic Research Institute of State Grid Hubei Electric Power Company, Wuhan 430000, China
3. College of Information Engineering, Nanchang University, Nanchang 330031, China |
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| Abstract:To address the problem of solving affine coefficients in existing Taylor expansion-based affine power flow methods, a Chebyshev affine power flow calculation method for distribution networks considering correlation is proposed. First, Chebyshev polynomials are used to construct affine operators, and several interpolation points are extracted within the interval ranges of the input variables to solve for the affine coefficients, thereby establishing a Chebyshev affine model. Based on this model, the affine form of the variables to be solved is constructed and substituted into the original power flow equations to reconstruct the equations, obtaining an affine optimization model with respect to the noise elements of the target variables. The correlation of the distributed wind power output is described using the hybrid box-ellipsoid set, and through coordinate transformation, the hybrid box-ellipsoid set is converted into new affine constraints and embedded into the affine optimization model for simultaneous solution. Simulation results on two distribution network examples show that, compared with the Taylor expansion affine model, the proposed model has higher calculation accuracy and efficiency, and is more suitable for interval power flow analysis scenarios under larger fluctuation ranges. Meanwhile, the hybrid box-ellipsoid set effectively reflects the impact of different correlation levels on the calculation results. |
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