Figure - available via license: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Content may be subject to copyright.
Pros and cons of Taylor series expansion
Source publication
As global environmental pollution and traditional fossil energy consumption continue to intensify, renewable energy such as wind and solar generation gradually becomes preferred primary energy. In order to promote energy transformation, improve the penetration rate of renewable energy and realize the coordination and complementarity of multi-energy...
Contexts in source publication
Context 1
... pros and cons of Taylor series expansion is compared with piecewise linearization in Table 1. Specifically, piecewise linearization would introduce several binary variables which could bring computational burden. ...Context 2
... five scenarios along with their probabilities are shown in Figure 6 and Table 2. In Cases 4-6, uncertainties of wind generation are considered, where the total operation costs are shown in Table 1. As shown in Table 1, the total operation cost of Cases 4-6 increases as compared to Cases 1-3, respectively. ...Context 3
... Cases 4-6, uncertainties of wind generation are considered, where the total operation costs are shown in Table 1. As shown in Table 1, the total operation cost of Cases 4-6 increases as compared to Cases 1-3, respectively. In Cases 4-5 where the number of unit hours are the same as Cases 1-2, no more units need to be committed to provide ramping capabilities against uncertainties. ...Citations
... Refs. [11] and [12] introduced a two-stage scheduling model, where the simulation results demonstrate that the use of a two-stage scheduling model can achieve a coordinated allocation of ENGN benefits. The coordinated operation of ENGNs was investigated in [13] using the Benders decomposition method. ...
The interdependence of electricity and natural gas networks (ENGNs) has led to increased complexity and competing interests among stakeholders. In the event of a leakage failure in a natural gas pipeline, the changes in pipeline parameters pose significant challenges to the optimization and dispatch of natural gas and power grid supply systems. Hence, it would be difficult to simultaneously coordinate the respective interests and reduce the loss of load in the power grid. This paper first presents a natural gas pipeline flow model that accounts for pipeline leakage and linepack, followed by a two-stage dispatch to optimize the benefits for both electricity and natural gas suppliers, where the optimal dispatch with the worst-case scenario is linearized through mixed-integer programming (MIP). Then, a joint solution model for leakage rate and linepack is established based on the macropore leakage model and the dispatch of natural gas suppliers, considering the impact of natural gas flow rate changes on leakage parameters. The actual natural gas supply and the two-stage optimal dispatch are obtained by using the column-and constraint generation (C&CG) method. Simulation results demonstrate that the proposed two-stage optimal dispatch improves the power supply reliability and offers promising economic prospects for ENGNs, where the accuracy of power grid dispatch is significantly improved considering the natural gas pipeline leakage and linepack.
... The study takes into account the uncertainties of renewable energy outputs and DR resources. Reference [33] uses P2G units to form a coupled power and gas network. The study proposes a two-stage stochastic coordinated scheduling of integrated gaselectric distribution systems considering network reconfiguration. ...
... = ( ( ̅ , ̅ )) + ( ( ̅ , ̅ )) − (33) where, and are the losses of the electric and gas networks, respectively. They can be calculated by using (36) and (37). ...
... They can be calculated by using (36) and (37). Equation (33) is subject to (26)- (32). ...
-The interesting properties of natural gas as well as the growing electric power demand worldwide have led to increasing attention to natural-gas-based distributed generation applications in electric distribution systems. This paper goes over the interdependency between a residential natural gas network and an electric distribution network that are coupled via fuel cells. The modeling of the gas network is introduced first, and then the algorithm for gas flow study is presented. The optimal placement and sizing of fuel cell based distributed generation systems are formulated to minimize the losses in both the gas and electric distribution networks, subject to their model constraints. In addition to this, in order to capture the probabilistic nature of the optimization problem under study, the K-means clustering algorithm is applied to the gas and electricity demands to determine hourly load states and their corresponding probabilities. Simulation studies are carried out on an integrated system consisting of the IEEE 69-bus distribution feeder and a radial 27-node natural gas network to verify the developed optimization model and the proposed method.
... The study takes into account the uncertainties of renewable energy outputs and DR resources. Reference [33] uses P2G units to form a coupled power and gas network. The study proposes a two-stage stochastic coordinated scheduling of integrated gaselectric distribution systems considering network reconfiguration. ...
... = ( ( ̅ , ̅ )) + ( ( ̅ , ̅ )) − (33) where, and are the losses of the electric and gas networks, respectively. They can be calculated by using (36) and (37). ...
... They can be calculated by using (36) and (37). Equation (33) is subject to (26)- (32). ...
