Abstract The response speeds of electric boilers (EB) and energy storage devices (ESD) are different. The frequency bands of wind power that followed by EB and ESD are also different. In order to match EB and ESD with wind power in different time scales, an improved Variational Mode Decomposition (IVMD) is proposed. The original fully adaptive decomposition method is improved to an adaptive decomposition method based on the specified center frequency. Then, a multi-time scale rolling dispatch model for integrated electricity-heating systems is established. The center frequencies are determined according to the long-term trend of wind power, the response speeds of ESD and EB. Wind power is decomposed in three layers by IVMD. The first layer matches the long-term trend of wind power, which formulates the plan of units and EB. The second layer, which is adapted to the response speed of energy-type energy storage device (ETESD), determines the plan of ETESD, output adjustments of units and EB. The third layer, which is compatible with power-type energy storage device (PTESD), formulates the plan of PTESD. Finally, the analysis in case study verifies that it can effectively reduce the amount of wind curtailment and load shedding by the use of IVMD.

中文翻译：

---

基于改进变分模态分解的电热一体化多时间尺度滚动经济调度

摘要 电锅炉（EB）和储能装置（ESD）的响应速度不同。EB和ESD所遵循的风电频段也不同。为了将EB和ESD与不同时间尺度的风电匹配，提出了一种改进的变分模式分解（IVMD）。将原来的全自适应分解方法改进为基于指定中心频率的自适应分解方法。在此基础上，建立了多时间尺度的电热一体化滚动调度模型。中心频率根据风电的长期趋势、ESD和EB的响应速度确定。IVMD 将风能分解为三层。第一层匹配风电的长期趋势，制定机组和EB计划。第二层，适应能量型储能装置（ETESD）的响应速度，决定ETESD的方案、单元和EB的输出调整。第三层，与功率型储能器件（PTESD）兼容，制定了PTESD的方案。最后，案例分析验证了使用IVMD可以有效减少弃风和减载的数量。