Multi-Stage Stochastic Programming With Nonanticipativity Constraints for Expansion of Combined Power and Natural Gas Systems

Ding, Tao; Hu, Yuan; Bie, Zhaohong

doi:10.1109/tpwrs.2017.2701881

Cited by 175 publications

(92 citation statements)

References 34 publications

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“…MSSP is usually used to solve planning problems such as those relating to transmission networks or transportation planning, handling sequential decisions under uncertainties at different time horizons (stages) [30]. In a multi-stage stochastic model, decisions can be made recursively with the gradual realization of uncertainties over time [31]. In this study, the RH method is exploited for numerical simulation of the problem.…”

Section: Overview Of Mssp and Rh Methodsmentioning

confidence: 99%

Optimal Operation of Critical Peak Pricing for an Energy Retailer Considering Balancing Costs

2019

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Recently, there have been frequent fluctuations in the wholesale prices of electricity following the increased penetration of renewable energy sources. Therefore, retailers face price risks caused by differences between wholesale prices and retail rates. As a hedging against price risk, retailers can utilize critical peak pricing (CPP) in a price-based program. This study proposes a novel multi-stage stochastic programming (MSSP) model for a retailer with self-generation photovoltaic facility to optimize both its bidding strategy and the CPP operation, in the face of several uncertainties. Using MSSP, decisions can be determined sequentially with realization of the uncertainties over time. Furthermore, to ensure a global optimum, a mixed integer non-linear programming is transformed into mixed integer linear programming through three linearization steps. In a numerical simulation, the effectiveness of the proposed MSSP model is compared with that of a mean-value deterministic model based on a rolling horizon method. We also investigate the optimal strategy of a retailer by changing various input parameters and perform a sensitivity analysis to assess the impacts of different uncertain parameters on the retailer’s profit. Finally, the effect of the energy storage system on the proposed optimization problem is investigated.

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Section: Overview Of Mssp and Rh Methodsmentioning

confidence: 99%

Optimal Operation of Critical Peak Pricing for an Energy Retailer Considering Balancing Costs

2019

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“…As for renewable energy plants, their actual generation is limited by their forecasting result, as shown in Equations (19) and (20). φ W i,y,k,t and φ S i,y,k,t are predicted nominal factors of wind and solar power output in one station, respectively.…”

Section: Renewable Energy Plant Constraintsmentioning

confidence: 99%

“…Then, the operation constraints of all load levels would be added to GEP models. This approach has been widely applied into several GEP problems, such as single-area GEP [18], multi-area GEP [5], expansion co-planning of combined power and natural gas systems [19], and generation investment in the electricity market [20]. The benefit of this approach using load blocks is its lower computational burden than considering all operation constraints of several days.…”

Section: Introductionmentioning

confidence: 99%

Multi-Period Generation Expansion Planning for Sustainable Power Systems to Maximize the Utilization of Renewable Energy Sources

Wang

Zhang

et al. 2020

Sustainability

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The increasing penetration of renewable energy brings great challenges to the planning and operation of power systems. To deal with the fluctuation of renewable energy, the main focus of current research is on incorporating the detailed operation constraints into generation expansion planning (GEP) models. In most studies, the traditional objective function of GEP is to minimize the total cost (including the investment and operation cost). However, in power systems with high penetration of renewable energy, more attention has been paid to increasing the utilization of renewable energy and reducing the renewable energy curtailment. Different from the traditional objective function, this paper proposes a new objective function to maximize the accommodation of renewable energy during the planning horizon, taking into account short-term operation constraints and uncertainties from load and renewable energy sources. A power grid of one province in China is modified as a case study to verify the rationality and effectiveness of the proposed model. Numerical results show that the proposed GEP model could install more renewable power plants and improve the accommodation of renewable energy compared to the traditional GEP model.

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“…Since the natural gas industry has prospered in the past twenty-five years due to the incentive support from the Chinese government, a tremendous increase in the development of the integrated power and natural gas systems (IPGSs) has been acknowledged. As a result, the optimal dispatch of IPGSs [1] and the expansion planning for IPGSs [2], [3] are becoming highly interested.…”

Section: Introductionmentioning

confidence: 99%

A Tight Linear Program for Feasibility Check and Solutions to Natural Gas Flow Equations

Ding

Yang

et al. 2019

IEEE Trans. Power Syst.

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This letter proposed a novel convex optimization model, whose optimal solution is proved to be the precise solution of the natural gas flow equations. Furthermore, a linear program is employed to tightly linearize the nonlinear parts and a corollary is given to check the feasibility. Numerical results show the effectiveness of the proposed method.  Index Terms-Integrated power and natural gas systems, gas flow equations, feasibility testing, constraint satisfaction problem

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Multi-Stage Stochastic Programming With Nonanticipativity Constraints for Expansion of Combined Power and Natural Gas Systems

Cited by 175 publications

References 34 publications

Optimal Operation of Critical Peak Pricing for an Energy Retailer Considering Balancing Costs

Optimal Operation of Critical Peak Pricing for an Energy Retailer Considering Balancing Costs

Multi-Period Generation Expansion Planning for Sustainable Power Systems to Maximize the Utilization of Renewable Energy Sources

A Tight Linear Program for Feasibility Check and Solutions to Natural Gas Flow Equations

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