DataSheet1_Distributed algorithm without iterations for an integrated energy system.PDF

Existing energy management methods for integrated energy systems are mostly in distributed communication and computation now, need a large number of iterations, and each time of iteration needs lots of communication and computation. For this reason, on one hand, the iteration may cause energy-delay. On the other hand, iteration will significantly increase the communication and computation burden. The integrated energy systems contain a variety of devices and energy resources (including renewable energy resources), so the communication and computation burden is already very high. If the communication and computation cannot be solved very well, the cost functions of each device need to be much easier to ensure the operation of the system and their systematic error will be much larger. For this reason, the result of optimization will be much worse because of the accuracy of cost functions. The greatest challenge of this issue is to establish an algorithm without iteration. For handling this issue, first, we adopt the theoretical demonstration to prove that if all prices of all devices are the same, the optimization will be realized and the instantaneous price is the one-order derivative. (we assume the relationship between the operating cost and the energy flow of each device as the convex cost functions.) Second, we reshape all cost functions. Third, we change the function to the total of the foregoing functions in the directed annular path and adopt the total function of the hole system to solve the energy price. Last, we use the price to ensure their operating condition. Our theoretical demonstration has already proved the optimization, convergence, the plug and play performance, scalability, and the emergency scheduling performance of the annular partial differential algorithm (APDA).当前集成能源系统（integrated energy systems）的主流能量管理方法多采用分布式通信与计算架构，需进行大量迭代运算，且每一轮迭代均需占用大量通信与计算资源。正因如此，一方面迭代过程会引发能量延迟问题；另一方面，迭代会大幅加重通信与计算负载。集成能源系统涵盖各类设备与能源资源（含可再生能源（renewable energy resources）），其本身的通信与计算负载已处于较高水平。若无法妥善解决通信与计算瓶颈问题，则需大幅简化各设备的成本函数以保障系统运行，进而导致系统误差显著增大。受限于成本函数的精度，优化结果的性能也会随之大幅下降。该问题的最大挑战在于构建无需迭代的算法。 为解决该问题，本文首先通过理论论证证明：当所有设备的价格均一致时，即可实现优化目标，且瞬时价格为一阶导数（first-order derivative）（本文假设各设备的运行成本与能量流之间的关系为凸成本函数（convex cost functions））。其次，对所有成本函数进行重构；再次，将有向环形路径上的所有前述函数求和，并借助环路系统的总函数求解能源价格；最后，通过该价格确定各设备的运行工况。 本文的理论论证已证明环形偏微分算法（Annular Partial Differential Algorithm，APDA）的优化性、收敛性、即插即用性能、可扩展性以及应急调度性能。