Distributed Collaborative Optimization Operation Approach for Integrated Energy System Based on Asynchronous and Dynamic Event-Triggering Communication Strategy
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摘要: 研究综合能源系统的协同能源管理问题, 并提出了一种基于异步动态事件触发通信策略的分布式梯度算法来解决该问题. 通过引入外部辅助变量并设计有效的触发机制, 该方法可以使得每个参与者仅在必要时刻以离散且异步的方式与邻居产生通信交互, 实现了连续通信的离散替代化. 同时, 该方法并不要求全局同步时钟, 具有更强的灵活性. 此外, 本文也在理论上证明了算法的全局收敛性. 最后, 仿真结果验证了所提方法的有效性.Abstract: This paper investigates the collaborative energy management problem for integrated energy system, where an asynchronous and dynamic event-triggering communication strategy based distributed gradient algorithm is proposed to solve this problem. By introducing external auxiliary variable and designing effective triggering mechanism, this method can enable each participant sharing information with neighbors in a discrete and asynchronous communication fashion if only necessary. In this way, the continuous algorithm can be implemented in a discrete communication fashion. Meanwhile, this method does not rely on global clock synchronization, resulting in enhanced flexibility. In addition, the global convergence of the proposed algorithm is also proved in theory. Finally, the simulation results show the effectiveness of the proposed method.
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图 3 与电相关的变量收敛轨迹
Fig. 3 The convergence trajectories for the variables related to electricity power
表 1 符号定义
Table 1 Symbol definition
符号 定义 符号 定义 $i$ 能源体编号 $j$ 能源体中的参与者编号 $T$ 调度周期 (即各类能源设备和能源负载) $p_{i,T}^{exch}$ ,$h_{i,T}^{exch}$ ,$g_{i,T}^{exch}$ 能源体与外界交换的电、热和
气的功率或流量$p_{ij,T}^{rg}$ ,$p_{ij,T}^{fg}$ ,$p_{ij,T}^{chp}$ 可再生发电机、燃料发电机和热电联
产装置的功率输出$h_{ij,T}^{rg}$ ,$h_{ij,T}^{fg}$ ,$h_{ij,T}^{chp}$ 可再生制热装置, 燃料制热装置
和热电联产装置的热能输出$p_{ij,T}^{es}$ ,$h_{ij,T}^{es}$ 电、热储能与外界功率交换值 $g_{ij,T}^{gas}$ 燃气供应商所提供的燃气量 $lp_{ij,T}^m$ ,$lh_{ij,T}^m$ ,$lg_{ij,T}^m$ 第 $i$ 个能源体第$j$ 个 能源负载
中的必须运行电负载部分、热
负载部分和气负载部分$lp_{ij,T}^c$ ,$lh_{ij,T}^c$ ,$lg_{ij,T}^c$ 第 $i$ 个能源体第$j$ 个能源负载中的可
控电负载部分、热负载部分和气负载
部分$\Lambda _i^{p,rg}$ ,$\Lambda _i^{p,fg}$ ,$\Lambda _i^{p,es}$ 第 $i$ 个能源体中可再生发电机
的集合, 燃料发电机的集合和
电储能装置的集合$\Lambda _i^{h,rg}$ ,$\Lambda _i^{h,fg}$ ,$\Lambda _i^{h,es}$ 第 $i$ 个能源体中可再生制热装置的集
合、燃料制热装置的集合和热储能装
置的集合$\Lambda _i^{chp}$ 第 $i$ 个能源体中热电联产
装置的集合$\Lambda _i^{gas}$ 第 $i$ 个能源体中燃气供应商的集合$\Lambda _i^l$ 第 $i$ 个能源体中能源负载的集合
热电联产装置第$k$ ($k = 1, \cdots ,4$ )
个线性约束的系数上标 $\min$ ,$\max$ 下界和上界 $\rho _{ij,k,1}$ ,$\rho _{ij,k,2}$ ,$\rho _{ij,k,3}$ $p_{ij,T}^{fg,ramp}$ ,$p_{ij,T}^{chp,ramp}$ 爬坡率 $g_{ij,T}^p$ ,$g_{ij,T}^h$ ,$g_{ij,T}^{chp}$ 燃料发电机、燃料制热装置和
热电联产装置
的燃气消耗量$\eta _{ij}^{p,1}$ ,$\eta _{ij}^{p,2}$ ,$\eta _{ij}^{p,3}$ ,热率系数 $\eta _{ij}^{h}$ ,$\eta _{ij}^{chp}$ $p_{ij,T}^{es,ch}$ ,$p_{ij,T}^{es,ds}$ 最大充、放电速率 $SOC_{ij,T}^p$ 电储能装置的剩余容量 $\alpha _{ij}^{ch}$ ,$\alpha _{ij}^{ds}$ 充、放电系数 $\beta _{ij,T - 1}^{ch},\beta _{ij,T - 1}^{ds} $ 上一调度周期的充、放电状态 $\hbar_{ij,g-p}^{\min}$ ,$\hbar_{ij,g-p}^{\max}$ 电负载与气负载之间最小和
最大的转换百分比$\hbar_{ij,h-p}^{\min}$ ,$\hbar_{ij,h-p}^{\max}$ 热负载与电负载之间最小和最大的转
换百分比$\hbar_{ij,g-h}^{\min}$ ,$\hbar_{ij,g-h}^{\max}$ 气负载与热负载之间最小和
最大的转换百分比$B_{i,T}\left( \cdot \right)$ 能源体 $i$ 的总收益$C_{i,T}( \cdot )$ 能源体 $i$ 的总成本$U_{ij,T}$ 能源负载的使用函数 $C( {p_{ij,T}^{rg}} )$ 可再生发电机的成本函数 $C( {h_{ij,T}^{rg}} )$ 可再生制热装置的成本函数 $C( {p_{ij,T}^{fg}} )$ 燃料发电机的成本函数 $C( {h_{ij,T}^{fg}} )$ 燃料制热装置的成本函数 $C( {p_{ij,T}^{chp},h_{ij,T}^{chp}} )$ 热电联产装置的成本函数 $C( {p_{ij,T}^{es}} )$ 电储能的成本函数 $C( {h_{ij,T}^{es}} )$ 热储的能成本函数 $C( {g_{ij,T}^{gas}})$ 燃气供应商的成本函数 $\varphi_{ij}^{p}$ ,$\gamma_{ij}^{p}$ ,$\varphi_{ij}^{h}$ ,$\gamma_{ij}^{h}$ 正的使用系数 $b_{ij}^{rg}$ ,$d_{ij}^{rg}$ ,$a_{ij}^{fg}$ ,$b_{ij}^{fg}$ ,$c_{ij}^{fg}$ ,正的成本系数 $\varphi_{ij}^{g}$ ,$\gamma_{ij}^{g}$ ,$\iota_{ij}^{rg}$ 负的惩罚系数 $d_{ij}^{fg}$ ,$e_{ij}^{fg}$ ,$a_{ij}^{p}$ ,$b_{ij}^{p}$ ,$a_{ij}^{h}$ ,$b_{ij}^{h}$ ,$c_{ij}^{chp}$ ,$d_{ij}^{chp}$ ,$a_{ij}^{es}$ ,$price_T^p$ ,$price_T^h,$ 电、热和气市场成交价格 $a_{ij}^{gas}$ ,$b_{ij}^{gas}$ ,$c_{ij}^{gas}$ ,$d_{ij}^{gas}$ $price_T^g$ $1_{d}$ 全部元素为 1 的d 维列向量 $\flat_{1,ij}$ ,$\flat_{2,ij}$ ,$\flat_{3,ij}$ ,触发系数 $0_{d}$ 全部元素为 0 的d 维列向量 $\flat_{4,ij}$ ,$\flat_{5,ij}$ ,$\flat_{6,ij}$ ${\rm{diag}}(\cdot)$ 对角矩阵 $\varrho_{i}$ 第 $i$ 个能源体中参与者总数$col(\cdot)$ 向量的列堆栈 上标 $*$ 平衡点 $\Upsilon=\times\Upsilon_{ij}$ $\Upsilon_{ij}$ 的笛卡尔积$\otimes$ 克罗内克积 
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