High penetration of distributed renewable energy promotes the development of an active distribution network(ADN).The power flow calculation is the basis of ADN analysis.This paper proposes an approximate linear three-...High penetration of distributed renewable energy promotes the development of an active distribution network(ADN).The power flow calculation is the basis of ADN analysis.This paper proposes an approximate linear three-phase power flow model for an ADN with the consideration of the ZIP model of the loads and PV nodes.The proposed method is not limited to radial topology and can handle high R/X ratio branches.Case studies on the IEEE 37-node distribution network show a high accuracy and the proposed method is applicable to practical uses such as linear or convex optimal power flow of the ADN.展开更多
Electricity network is a very complex entity that comprises several components like generators, transmission lines, loads among others. As technologies continue to evolve, the complexity of the electricity network has...Electricity network is a very complex entity that comprises several components like generators, transmission lines, loads among others. As technologies continue to evolve, the complexity of the electricity network has also increased as more devices are being connected to the network. To understand the physical laws governing the operation of the network, techniques such as optimal power flow (OPF), Economic dispatch (ED) and Security constrained optimal power flow (SCOPF) were developed. These techniques have been used extensively in network operation, planning and so on. However, an in-depth presentation showcasing the merits and demerits of these techniques is still lacking in the literature. Hence, this paper intends to fill this gap. In this paper, Economic dispatch, optimal power flow and security-constrained optimal power flow are applied to a 3-bus test system using a linear programming approach. The results of the ED, OPF and SC-OPF are compared and presented.展开更多
The linear stability of wall-injected pressure- driven Couette-like flow in power-law fluids is studied. Previous study on this kind of flow for Newtonian fluids by Nicoud and Angilella [Phys. Rev. E 56, 3000 （1997）...The linear stability of wall-injected pressure- driven Couette-like flow in power-law fluids is studied. Previous study on this kind of flow for Newtonian fluids by Nicoud and Angilella [Phys. Rev. E 56, 3000 （1997）] was extended to power-law fluids to understand the effects of shear-thinning/thickening nature on the flow stability. A related expression between the critical crossflow Reynolds number for Newtonian fluids and that for power-law fluids is obtained as the streamwise Reynolds number is large enough based on numerical computations, and verified theoretically in the case of a limiting condition with the power-law index.展开更多
随着分布式能源和储能容量的增加以及电动汽车的普及,配电网的功率流动由单向转变为双向,且网络拓扑由径向转变为复杂的网状结构。为了高效应对网状配电网的潮流(power flow,PF)分析和最优潮流(optimal power flow,OPF)问题,以及进一步...随着分布式能源和储能容量的增加以及电动汽车的普及,配电网的功率流动由单向转变为双向,且网络拓扑由径向转变为复杂的网状结构。为了高效应对网状配电网的潮流(power flow,PF)分析和最优潮流(optimal power flow,OPF)问题,以及进一步提升现有线性化模型的近似精度、完善对网络损耗等元素的线性近似,该文构建迭代隐式线性化潮流(iterative implicit linearization power flow,IIL-PF)模型及其最优潮流模型(IIL-OPF)。该模型将非线性潮流流形M(Manifold)视为节点电压和节点注入功率之间的隐式代数关系,之后利用切平面对M进行局部近似,并迭代更新线性化点以提高线性模型的近似精度。此外,所提模型充分考虑了支路始/末端潮流、支路潮流平方、支路损耗等因素,并对其进行明确的线性化推导。最后,基于修改的IEEE 33系统,分别在径向和网状运行方式下,验证所提模型可快速收敛,并具有较高的近似精度。其中IIL-PF计算结果、IIL-OPF的目标函数和发电机出力等优化结果与MATPOWER的非线性模型相比,误差均在1%以内,因此所提模型可以满足工程规划或日前运行模拟等应用要求。展开更多
基金supported in part by the National Key R&D Program of China(No.2016YFB0900100)the National Science Foundation of China(No.51325702,51677096).
文摘High penetration of distributed renewable energy promotes the development of an active distribution network(ADN).The power flow calculation is the basis of ADN analysis.This paper proposes an approximate linear three-phase power flow model for an ADN with the consideration of the ZIP model of the loads and PV nodes.The proposed method is not limited to radial topology and can handle high R/X ratio branches.Case studies on the IEEE 37-node distribution network show a high accuracy and the proposed method is applicable to practical uses such as linear or convex optimal power flow of the ADN.
文摘Electricity network is a very complex entity that comprises several components like generators, transmission lines, loads among others. As technologies continue to evolve, the complexity of the electricity network has also increased as more devices are being connected to the network. To understand the physical laws governing the operation of the network, techniques such as optimal power flow (OPF), Economic dispatch (ED) and Security constrained optimal power flow (SCOPF) were developed. These techniques have been used extensively in network operation, planning and so on. However, an in-depth presentation showcasing the merits and demerits of these techniques is still lacking in the literature. Hence, this paper intends to fill this gap. In this paper, Economic dispatch, optimal power flow and security-constrained optimal power flow are applied to a 3-bus test system using a linear programming approach. The results of the ED, OPF and SC-OPF are compared and presented.
基金supported by the National Natural Science Foundation of China(11172152)
文摘The linear stability of wall-injected pressure- driven Couette-like flow in power-law fluids is studied. Previous study on this kind of flow for Newtonian fluids by Nicoud and Angilella [Phys. Rev. E 56, 3000 （1997）] was extended to power-law fluids to understand the effects of shear-thinning/thickening nature on the flow stability. A related expression between the critical crossflow Reynolds number for Newtonian fluids and that for power-law fluids is obtained as the streamwise Reynolds number is large enough based on numerical computations, and verified theoretically in the case of a limiting condition with the power-law index.
文摘随着分布式能源和储能容量的增加以及电动汽车的普及,配电网的功率流动由单向转变为双向,且网络拓扑由径向转变为复杂的网状结构。为了高效应对网状配电网的潮流(power flow,PF)分析和最优潮流(optimal power flow,OPF)问题,以及进一步提升现有线性化模型的近似精度、完善对网络损耗等元素的线性近似,该文构建迭代隐式线性化潮流(iterative implicit linearization power flow,IIL-PF)模型及其最优潮流模型(IIL-OPF)。该模型将非线性潮流流形M(Manifold)视为节点电压和节点注入功率之间的隐式代数关系,之后利用切平面对M进行局部近似,并迭代更新线性化点以提高线性模型的近似精度。此外,所提模型充分考虑了支路始/末端潮流、支路潮流平方、支路损耗等因素,并对其进行明确的线性化推导。最后,基于修改的IEEE 33系统,分别在径向和网状运行方式下,验证所提模型可快速收敛,并具有较高的近似精度。其中IIL-PF计算结果、IIL-OPF的目标函数和发电机出力等优化结果与MATPOWER的非线性模型相比,误差均在1%以内,因此所提模型可以满足工程规划或日前运行模拟等应用要求。
