考虑多形态间歇性电源集中接入的输电网随机双层规划方法

Bi-level Stochastic Planning Method of Transmission Networks With Multiple Centralized Intermittent Generations

全球能源互联网战略背景下的大电网规划和建设面临着多形态间歇性可再生能源发电大规模集中并网所带来的机遇与挑战。在输电网全寿命周期成本分析建模的基础上,以输电网服役期限内的全寿命周期成本的经济性最优为目标,建立了考虑多形态间歇性电源集中接入的输电网随机双层规划模型:上层进行充裕性规划决策方案以生成输电网规划方案;下层基于2m+1点估计法,考虑各种不确定性因素的影响,对上层规划方案进行静态安全性评估。为了确保双层规划模型的求解效率,上下层模型均采用等效的析取不等式建立混合整数线性规划模型,并将下层模型的库恩塔克最优性条件线性化处理成上层模型的约束条件,从而建立了一个与原双层模型等效且为单层模型的含均衡约束的数学规划模型。直接调用成熟的商用线性规划求解器进行模型的求解,以实现规划方案的全局最优性。算例仿真验证了所提模型和方法的合理性、有效性及实用性。

1： Under background of global energy interconnection, planning and construction of bulk power system is confronted with new opportunities and challenges brought by grid-connection of polymorphic centralized intermittent generations. Based on life cycle cost（LCC） modeling of transmission network, a bi-level stochastic planning model of transmission network with multiple intermittent generations is proposed to achieve minimum LCC objective of planning schemes for entire service life. Adequacy planning process is conducted on the upper-level model to generate planning schemes. Based on 2m＋1 point estimate method, the lower-level model is proposed to assess static security of the schemes obtained from the upper level, considering influence caused by various uncertainties. To ensure solving efficiency, both upper and lower level models are mixed integer linear programming（MILP） utilizing equivalent disjunctive inequalities. Such that a linear single-level mathematical programming with equilibrium constraints（MPEC） model is formulated by adding linearized Karush-Kuhn-Tucker conditions of the lower-level model into the upper one. The proposed MPEC is equivalent to primal bi-level planning model, which can be solved with commercial MILP solvers to achieve global optimality of obtained schemes. Numerical results show rationality, effectiveness and practicability of the proposed method.