Incremental Benefit Allocation for Joint Operation of Multi-Stakeholder Wind-PV-Hydro Complementary Generation System With Cascade Hydro-Power: An Aumann-Shapley Value Method

Abstract

In order to ensure joint operation of wind-PV-hydro complementary generation system with cascade hydro-power owned by multiple stakeholders, an equitable and efficient allocating mechanism for incremental benefit is of great importance. Firstly, the incremental benefit from joint operation is quantified for wind-PV-hydro complementary generation system with cascade hydro-power owned by multiple stakeholders in this paper. Then, different allocation methods such as proportional method, marginal benefits method, last addition method, Shapley value method, and Aumann-Shapley value method are applied to allocate the incremental benefit for each stakeholder. Next, a 4-stakeholder wind-PV-hydro complementary generation test system is employed to investigate the advantages and disadvantages of the presented different allocation methods and a 9-stakeholder wind-PV-hydro complementary generation test system is used to verify that Aumann-Shapley value method can reduce computational burden with regard to the participation of large number of stakeholders compared with traditional cooperative game-based method such as Shapley value method. INDEX TERMS Incremental benefit allocation, wind-PV-hydro complementary generation, cascade hydropower, multiple stakeholders, Aumann-Shapley value. NOMENCLATURE A. SETS Allocation result of stakeholder n under Shapley value method. π wd,i,t,k Marginal benefit of k-th segment of wind resource of wind generator i during period t. π pv,i,t,k Marginal benefit of k-th segment of solar resource of PV module i during period t. π Q,i,t,k Marginal benefit of k-th segment of water discharge resource of hydro generator i during period t. π V ,i,t,k Marginal benefit of k-th segment of reservoir resource of hydro generator i during period t.

Cooperative Game-Based Synergistic Gains Allocation Methods for Wind-Solar-Hydro Hybrid Generation System with Cascade Hydropower

“…possible coalitions for a wind-solar-hydro hybrid generation system with nine power stakeholders. The Shapley value method requires the information of all 511 hybrid generation coalitions and calculates the weighted marginal contribution that each power stakeholder brings to a total of 256 ( ) coalitions and calculates a total of 36 formulas, according to (11)- (14).…”

“…where, S P Δ is the synergistic gain of hybrid generation coalition S; ( ) Generation of all power stakeholders and all possible hybrid generation coalitions are determined by solving joint optimal operation models and individual optimal operation models of a wind-solar-hydro hybrid generation system with cascade hydropower [14].…”

“…However, the NHBM is a static model which could not describe uncertainty and probabilistic correlation of wind and solar energy. proportional method (PM), marginal benefits method (MBM) and last addition method (LAM) are also applied to allocate synergistic gains of a wind-solar-hydro hybrid generation system with cascade hydropower [14]. The PM allocates synergistic gains proportionately according to the installed generation capacity, which neglects the volatility and uncertainty of wind and solar resources.…”

“…Existence and uniqueness analysis (1) The nucleolus method satisfies principles of existence and uniqueness if the set of allocated synergistic gains is nonempty, more specifically, if the hybrid generation of wind/solar/hydro power stakeholders could obtain synergistic gains. According to optimal generation models in [14], the existence and uniqueness of nucleolus method can be obtained when the reservoir volume of hydro power stakeholders are abundant; (2) Since the marginal contribution that a power stakeholder brings to all possible hybrid generation coalitions are available, the Shapley value always exists and could provide a unique allocation result; (3) As an improvement of nucleolus method, the MCRS method relieves the limitations of nucleolus method by investigating the maximum and minimum allocations of multiple power stakeholders. Therefore, there always exists unique allocation results under MCRS method.…”

Coordinated Optimal Scheduling of WPHTNS Power System Based on Adaptive Improved Genetic Algorithm

“…The core of multi-energy complementarity lies in how to stabilize the intermittency and randomness of wind, photovoltaic and other new energy power generation through flexible power sources such as hydro, thermal and storage, so as to improve the power operation quality and reliability of the power grid, improve the utilization rate of existing channels, and effectively solve the operation problem of large-scale centralized grid connection of wind power and photovoltaic power [7]. Therefore, the research on optimal scheduling of multi-energy system with renewable energy as the main body has been paid more and more attention by researchers all over the world [8][9]. Energy resources coordinated optimization problem is regarded as a linear programming problem, GE [10] in order to reduce the effects of wind power integration on the system load frequency control, based on wind power and load uncertainties of load frequency control requirements, set up a cascade hydropower stations in the wind power system coordination optimization scheduling model using mixed integer linear programming to solve.…”