CN114580254A - A method and system for indoor temperature regulation of buildings based on model predictive control - Google Patents
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Abstract
Description
技术领域technical field
本发明涉及室内环境控制领域,更具体地,涉及一种基于模型预测控制的建筑室内温度 调控方法和系统。The present invention relates to the field of indoor environment control, and more particularly, to a method and system for regulating indoor temperature in buildings based on model predictive control.
背景技术Background technique
据能源机构的统计,建筑能源消耗占总能源消耗的40%,而在建筑能耗占比中,空调系 统的能耗是建筑能耗的主要部分,约占建筑总能耗50%。随着人们对建筑舒适度以及节能的 要求日益提高,如何调控空调系统在实现热舒适度的情况下,实现尽可能的节约能耗,越来 越有重要意义。According to the statistics of the Energy Agency, building energy consumption accounts for 40% of the total energy consumption, and in the proportion of building energy consumption, the energy consumption of the air conditioning system is the main part of the building energy consumption, accounting for about 50% of the total building energy consumption. With the increasing demands on building comfort and energy saving, how to control the air-conditioning system to save energy as much as possible under the condition of thermal comfort is becoming more and more important.
传统PID反馈控制策略存在超调量大、调节速度慢和稳定性差等缺点,并且不能平衡舒 适性和能耗。在保证未来一段时间内的人体舒适度的前提下,所需要的供冷/热量、控制策略 也是变化的,通过对控制变量滚动优化是可以实现在满足舒适度的前提下减少能耗的目的。The traditional PID feedback control strategy has shortcomings such as large overshoot, slow adjustment speed and poor stability, and cannot balance comfort and energy consumption. On the premise of ensuring human comfort for a period of time in the future, the required cooling/heat supply and control strategies are also changing. By rolling optimization of control variables, it is possible to achieve the purpose of reducing energy consumption on the premise of satisfying comfort.
发明内容SUMMARY OF THE INVENTION
本发明提出的一种基于模型预测控制的建筑室内温度调控方法和系统从理论上区别于目 前普遍应用的PID反馈控制方法,实现在满足室内热舒适条件下空调供/冷热量和建筑负荷的 动态匹配,取得最大限度的系统节能效果,实现了空调系统设备的优化控制。The method and system for regulating indoor temperature in buildings based on model predictive control proposed by the present invention are theoretically different from the currently commonly used PID feedback control method, and realize the control of air-conditioning supply/cooling heat and building load under the condition of indoor thermal comfort. Dynamic matching achieves the maximum system energy-saving effect and realizes the optimal control of the air-conditioning system equipment.
本发明提出的一种基于模型预测控制的建筑室内温度调控方法和系统具体实现步骤如 下:The specific implementation steps of a building indoor temperature control method and system based on model predictive control proposed by the present invention are as follows:
步骤1、根据空调系统历史数据建立起建筑室内温度预测模型,计算在不同供冷量和气 象预报数据条件下未来时刻的室内温度预测值。
y*(k+1)=a×u(k)+b×Q(k)+c×y(k)y*(k+1)=a×u(k)+b×Q(k)+c×y(k)
其中,y*(k+1)为k+1时刻的室内温度预测值,a,b,c为待辨识参数,u(k)为k时刻的供冷量,Q(k)为k时刻的气象数据下的建筑负荷,y(k)为k时刻的室内温度。Among them, y * (k+1) is the predicted value of the indoor temperature at time k+1, a, b, and c are the parameters to be identified, u(k) is the cooling capacity at time k, and Q(k) is the Building load under meteorological data, y(k) is the indoor temperature at time k.
步骤2、在室内温度预测模型基础上,收集空调系统设备性能参数的基础上建立起代价 函数J(k),该函数在保证室内温度的同时,尽可能优化空调系统的供冷量以降低系统能耗。
其中,N为预测时域可自行设置,q为温度误差权重系数,yset为室内温度温度设定值。Among them, N is the prediction time domain that can be set by yourself, q is the temperature error weight coefficient, and y set is the indoor temperature temperature setting value.
右侧第一项代表温度输出误差的代价,该项迫使空调系统输出尽可能接近室内温度设定 值;右侧第二项表示供冷量控制变量变化的代价,尽可能平滑控制变量,减少系统能耗。The first item on the right represents the cost of the temperature output error, which forces the output of the air conditioning system to be as close to the indoor temperature setpoint as possible; the second item on the right represents the cost of the change in the cooling capacity control variable, smoothing the control variable as much as possible and reducing the system energy consumption.
步骤3、在每个控制周期内,利用粒子群算法对室内温度进行预测和代价函数滚动优化, 使预测时域N内目标函数J(k)最小,在设备性能参数约束条件下,生成供冷量设定值的控制 序列,输出第一个u值执行。
步骤4、现场控制器根据该设定值对空调系统各设备进行优化控制,调节空调系统供冷 量至设定值,保证在该控制时域内最大程度减少超调量和调节室内温度。Step 4. According to the set value, the on-site controller optimizes the control of each equipment of the air-conditioning system, adjusts the cooling capacity of the air-conditioning system to the set value, and ensures that the overshoot is minimized and the indoor temperature is adjusted within the control time domain.
步骤5、实时采集建筑室内温度进行反馈校正,纠正预测模型的偏差,保证预测结果准 确性和增强控制系统稳定性。Step 5. Collect the building indoor temperature in real time for feedback correction, correct the deviation of the prediction model, ensure the accuracy of the prediction result and enhance the stability of the control system.
总体而言,通过本发明所构思的以上技术方案与现有技术相比,对建筑室内温度进行了 模型预测控制,相对于定供水温度和定压差控制能够直接对室内温度进行控制,与传统PID 反馈控制相比,室内温度模型预测控制具有前馈控制特性超调量小,无稳态误差,适用于大 延迟复杂空调系统,有良好的温度和能耗调控品质,具有明显的优势。In general, compared with the prior art, the above technical solution conceived by the present invention can carry out model prediction control on the indoor temperature of the building, and can directly control the indoor temperature relative to the constant water supply temperature and constant pressure difference control, which is different from the traditional one. Compared with PID feedback control, indoor temperature model predictive control has the characteristics of feedforward control with small overshoot and no steady-state error.
附图说明Description of drawings
图1是本发明一种基于模型预测控制的建筑室内温度调控方法和系统流程图。FIG. 1 is a flow chart of a method and system for regulating indoor temperature in a building based on model predictive control of the present invention.
图2是本发明实施例系统图。FIG. 2 is a system diagram of an embodiment of the present invention.
图3是本发明实施例与PID室内温度仿真调控效果对比图Fig. 3 is the embodiment of the present invention and PID indoor temperature simulation regulation effect comparison diagram
图4是本发明实施例与PID室内温度实验调控效果对比图Fig. 4 is the embodiment of the present invention and PID indoor temperature experiment control effect comparison diagram
图5是本发明实施例与PID能耗仿真效果图Fig. 5 is the embodiment of the present invention and the simulation effect diagram of PID energy consumption
图6是本发明实施例与PID能耗实验效果图Fig. 6 is the embodiment of the present invention and the PID energy consumption experiment effect diagram
具体实施方式Detailed ways
为了使本发明的目的、技术方案及优点更加清楚明白,以下结合附图及实施例,对本发 明进行进一步详细说明。应当理解,此处所描述的具体实施例仅用以解释本发明,并不用于 限定本发明。此外,下面所描述的本发明各个实施方式中所涉及到的技术特征只要彼此之间 未构成冲突就可以相互组合。In order to make the objectives, technical solutions and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention, but not to limit the present invention. In addition, the technical features involved in the various embodiments of the present invention described below can be combined with each other as long as they do not conflict with each other.
参照附图1,本发明的一种基于模型预测控制的建筑室内温度调控方法和系统主要包括 如下步骤:With reference to accompanying
(1)收集空调系统历史数据,包括供回水温度、流量、室内温度、建筑结构参数、历史 室外干球温度和相对湿度数据。用供回水温度和流量计算不同时刻的供冷量,室外干球温度、 相对湿度和太阳辐射照度和建筑结构参数计算不同时刻建筑冷负荷,最终与对应时刻室内温 度形成训练样本数据,用遗传算法训练以下公式。(1) Collect historical data of the air conditioning system, including supply and return water temperature, flow rate, indoor temperature, building structural parameters, historical outdoor dry bulb temperature and relative humidity data. Use the supply and return water temperature and flow to calculate the cooling capacity at different times, the outdoor dry bulb temperature, relative humidity, solar irradiance and building structure parameters to calculate the building cooling load at different times, and finally form the training sample data with the indoor temperature at the corresponding time. The algorithm trains the following formula.
y*(k+1)=a×u(k)+b×Q(k)+c×y(k)y*(k+1)=a×u(k)+b×Q(k)+c×y(k)
其中,y*(k+1)为k+1时刻的室内温度预测值,a,b,c为待辨识参数,u(k)为k时刻的供冷量,Q(k)为k时刻的气象数据下的建筑负荷,y(k)为k时刻的室内温度。Among them, y * (k+1) is the predicted value of the indoor temperature at time k+1, a, b, and c are the parameters to be identified, u(k) is the cooling capacity at time k, and Q(k) is the Building load under meteorological data, y(k) is the indoor temperature at time k.
最终该实施例训练后的预测模型如下。Finally, the trained prediction model of this embodiment is as follows.
其中,Cp,V,ρ代表建筑比热容、体积和密度,Q代表冷负荷,ΔT控制步长为1小时,y*代表室内温度预测值,y代表实时室内温度。Among them, C p , V, ρ represent the specific heat capacity, volume and density of the building, Q represents the cooling load, the ΔT control step is 1 hour, y* represents the predicted indoor temperature, and y represents the real-time indoor temperature.
(2)在室内温度预测模型基础上,收集空调系统设备性能参数,主要是各冷水机组的制 冷量。建立起带有约束的代价函数J(k),该函数在保证室内温度的同时,尽可能优化空调系统 的供冷量以降低系统能耗。(2) On the basis of the indoor temperature prediction model, the performance parameters of the air-conditioning system equipment are collected, mainly the cooling capacity of each chiller. A constrained cost function J(k) is established, which optimizes the cooling capacity of the air-conditioning system as much as possible to reduce system energy consumption while ensuring the indoor temperature.
代价函数为: The cost function is:
其中,空调运行时间为8点至19点,预测时域N=12,室内温度yset=25℃ q=[10,10,10,10,10,10,10,10,10,10,10,2]。Among them, the operating time of the air conditioner is from 8:00 to 19:00, the prediction time domain N=12, the indoor temperature y set = 25°C q=[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 ,2].
约束为:umin≤u(k+i)≤umax,i=0,1,…,N-1The constraints are: u min ≤ u(k+i) ≤ u max , i=0, 1, ..., N-1
其中umin和umax为分别空调系统最小和最大制冷量,本例为0kW和40kW。Among them, u min and u max are the minimum and maximum cooling capacity of the air-conditioning system, respectively, 0kW and 40kW in this example.
(3)在每个控制周期内,采用粒子群算法对室内温度进行预测和代价函数滚动优化,使 预测时域N内代价函数J(k)最小,生成供冷量设定值的控制序列U,输出第一个值u(k)执行。 本实施例粒子群算法滚动优化的目标函数为:(3) In each control cycle, the particle swarm algorithm is used to predict the indoor temperature and the cost function rolling optimization, so that the cost function J(k) in the prediction time domain N is minimized, and the control sequence U of the cooling capacity setting value is generated. , output the first value u(k) and execute. The objective function of the particle swarm optimization rolling optimization in this embodiment is:
(4)空调系统根据该设定值对各机组进行优化控制,首先按照u(k)决定冷水机组开启台 数,其次以能耗为目标采用粒子群算法计算在该供冷量下的最优供回水温度和流量,最后现 场控制器启停机组、设定冷冻水供回水温度和控制电动调节阀和水泵调节系统流量,保证在 该控制时域内最大程度减少超调量和满足室内温度。(4) The air-conditioning system optimizes the control of each unit according to the set value. First, the number of chillers to be turned on is determined according to u(k), and secondly, the particle swarm algorithm is used to calculate the optimal supply under the cooling capacity with the energy consumption as the goal. Return water temperature and flow. Finally, the on-site controller starts and stops the group, sets the chilled water supply and return water temperature, and controls the electric control valve and water pump to adjust the system flow to ensure that the overshoot is minimized and the indoor temperature is satisfied within the control time domain.
(5)当下一时刻开始时,采集建筑室内温度进行反馈校正,纠正预测模型的偏差,再次 滚动优化,如此循环往复,保证了预测结果准确性和增强控制系统稳定性。(5) When the next moment starts, the indoor temperature of the building is collected for feedback correction, the deviation of the prediction model is corrected, and the rolling optimization is performed again.
e(k+1)=y(k+1)-y*(k+1)e(k+1)=y(k+1)-y * (k+1)
其中,y(k+1)为k+1时刻室内温度真实值,y*为k+1时刻的预测值。此偏差e用来修正 对未来时刻的预测。Among them, y(k+1) is the actual value of the indoor temperature at
Y*(k+1)=y*(k+1)+e(k+1)Y*(k+1)=y*(k+1)+e(k+1)
其中,Y*(k+1)为k+1时刻室内预测温度纠正值。Among them, Y*(k+1) is the correction value of indoor predicted temperature at
仿真结果对比如图3和图5所示,MPC室内温度比PID提前1小时达到25℃设定点;MPC几乎不存在超调现象,PID存在很大超调量,并且稳定性差于MPC。经计算MPC和PID 平均室内温度分别为25.1℃和25.3℃,MPC比PID冷却塔节能15%,水泵节能16%,冷水机 组节能13.9%,最后总能耗节能14.8%。实验结果对比如图4和图6所示,MPC室内温度比 PID提前1个半小时左右达到25℃设定点,MPC几乎不存在超调现象,PID存在24.2℃的过 冷超调现象,MPC相比PID控制策略下冷却塔节能8.9%,水泵节能7.3%,冷水机组节能8.6%, 总能耗降低8.1%。因此通过仿真和实验均表明MPC室内温度和能耗调控效果均优于传统PID策略。The comparison of simulation results is shown in Figure 3 and Figure 5. The indoor temperature of MPC reaches the set point of 25 °
为让本领域的技术人员更易理解,以上所述仅为本发明的较佳实施例而已,并不用以限 制本发明,凡在本发明的精神和原则之内所作的任何修改、等同替换和改进等,均应包含在 本发明的保护范围之内。To make it easier for those skilled in the art to understand, the above are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements and improvements made within the spirit and principles of the present invention etc., should be included within the protection scope of the present invention.
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