论文标题
综合热量和电力系统的最佳计划：紧缩麦考密克方法
Optimal Planning of Integrated Heat and Electricity Systems: a Tightening McCormick Approach
论文作者
论文摘要
在本文中，我们提出了一个综合热量和电力系统的凸计划模型，该模型考虑了可变的质量流速。主要的挑战来自地区加热网络中双线性项的非跨性别，即质量流量和淋巴结温度的乘积。为了解决这个问题，我们首先通过等效的转换和可变替代来重新重新重新制定地区供暖网络模型。它表明，重新计算的模型只有一组非凸的约束，其双线性术语减少，而其他模型则是线性约束。这样的重新制定不仅保证了最优性，还可以固定解决过程。为了放松剩余的双线性约束，我们采用麦考密克信封，并进一步提出一种启发式拧紧方法来限制麦考密克方法的边界并获得附近的可行解决方案。案例研究表明，收紧的麦考密克方法迅速解决了可接受的可行性检查和最佳性的热电图计划问题。
In this paper, we propose a convex planning model of integrated heat and electricity systems considering variable mass flow rates. The main challenge comes from the non-convexity of the bilinear terms in the district heating network, i.e., the product of mass flow rate and nodal temperature. To resolve this issue, we first reformulate the district heating network model through equivalent transformation and variable substitution. It shows that the reformulated model has only one set of nonconvex constraints with reduced bilinear terms and the others are linear constraints. Such a reformulation not only guarantees the optimality but fastens the solving process. To relax the remaining bilinear constraints, we apply McCormick envelopes and further propose a heuristic tightening method to constrict the bounds of the McCormick approach and get a nearby feasible solution. Case studies show that the tightening McCormick method quickly solves the heat-electricity planning problem with acceptable feasibility check and optimality.
