含新能源电力系统机会约束经济调度的二阶锥规划方法

Second-order cone programming method of chance constrained economic dispatch considering renewable energy sources

考虑到新能源发电的随机性、反调峰性和预测困难等问题,提出了一种适用含新能源接入的电力系统的机会约束经济调度(Chance Constrained Economic Dispatch,CCED)二阶锥规划方法。该方法首先将新能源发电出力预测结果与真实值的偏差作为随机变量,计及系统运行限制的概率约束条件,建立以发电成本期望值最小为目标的电力系统CCED模型。然后根据其约束条件的特点,构建CCED问题的二阶锥规划描述,将原概率约束优化问题转化为确定性的非线性优化问题,采用现代内点算法加以求解,其求解过程仅需进行一次非线性规划问题的求解。通过IEEE-30系统的计算结果,验证了所提模型与方法的有效性和可行性,同时也表明该方法在保持较高计算精度的同时,也具有较高的计算效率。

Aiming at the problem of the randomness, anti-peaking and low prediction accuracy of renewable energy sources, this paper presents a method for chance constrained economic dispatch （CCED） problem in power system including renewable energy sources （RES）, of which the error of the forecasting results of RES＇s output from the true value is taken as random variables, and the probability constraints of the operation limits is considered. A CCED model of the power system including RES is established with the minimal generation cost expectations as the objective. According to the characteristics of the probability constraints, a second-order cone programming （SOCP） description of CCED is firstly constructed, thus transforming the original probability constrained optimization problem into the deterministic optimization problem, and then, the problem is solved by interior point method. The numerical results obtained by IEEE-30 bus systems verify the feasibility and validity of the proposed model and method.