CN107906810A - A kind of energy saving group control method of salt water cooling system of more handpiece Water Chilling Units cooperations - Google Patents
A kind of energy saving group control method of salt water cooling system of more handpiece Water Chilling Units cooperations Download PDFInfo
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F25—REFRIGERATION OR COOLING; COMBINED HEATING AND REFRIGERATION SYSTEMS; HEAT PUMP SYSTEMS; MANUFACTURE OR STORAGE OF ICE; LIQUEFACTION SOLIDIFICATION OF GASES
- F25B—REFRIGERATION MACHINES, PLANTS OR SYSTEMS; COMBINED HEATING AND REFRIGERATION SYSTEMS; HEAT PUMP SYSTEMS
- F25B49/00—Arrangement or mounting of control or safety devices
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F25—REFRIGERATION OR COOLING; COMBINED HEATING AND REFRIGERATION SYSTEMS; HEAT PUMP SYSTEMS; MANUFACTURE OR STORAGE OF ICE; LIQUEFACTION SOLIDIFICATION OF GASES
- F25B—REFRIGERATION MACHINES, PLANTS OR SYSTEMS; COMBINED HEATING AND REFRIGERATION SYSTEMS; HEAT PUMP SYSTEMS
- F25B2500/00—Problems to be solved
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F25—REFRIGERATION OR COOLING; COMBINED HEATING AND REFRIGERATION SYSTEMS; HEAT PUMP SYSTEMS; MANUFACTURE OR STORAGE OF ICE; LIQUEFACTION SOLIDIFICATION OF GASES
- F25B—REFRIGERATION MACHINES, PLANTS OR SYSTEMS; COMBINED HEATING AND REFRIGERATION SYSTEMS; HEAT PUMP SYSTEMS
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Abstract
Description
技术领域technical field
本发明一种多台冷水机组联合运行的海水冷却系统节能群控方法,属于智能 船用海水冷却方法技术领域。The invention discloses an energy-saving group control method for a seawater cooling system operated jointly by multiple chillers, and belongs to the technical field of seawater cooling methods for intelligent ships.
背景技术Background technique
作为船舶最常见的集中冷却形式,间冷式氟利昂冷水机组分别与海水及淡水 进行热交换来降低舱内温度,见图1。但由于舱室内的冷负荷波动很大,单台冷 水机组的配置(机组按最大冷负荷选型)在系统负荷偏离设计值过大(低制冷 工况)时,冷却系统处于低效率运行。因此,针对高负荷工况、低负荷工况进行 双冷水机组配置,使得系统在大部分工况下都具有较高运行效率是目前船舶海水 冷却系统的发展方向,见图2。以往的多机组控制策略多采用以冷负荷来控制冷 水机组的起停,一般负荷需求接近一台机组满功率冷量输出时才考虑加载新的机 组。但是单台冷水机组的最佳性能指数一般不出现在满负荷时,因此存在着多机 组分摊负荷需求较单机组独立承担更省电的节能空间。As the most common form of centralized cooling for ships, the intercooled Freon chiller performs heat exchange with seawater and fresh water respectively to reduce the temperature inside the cabin, as shown in Figure 1. However, due to the large fluctuations in the cooling load in the cabin, the configuration of a single chiller (the unit is selected according to the maximum cooling load), when the system load deviates too much from the design value (low cooling condition), the cooling system will run at low efficiency. Therefore, it is the current development direction of the marine seawater cooling system to configure dual chillers for high-load and low-load conditions, so that the system has high operating efficiency under most working conditions, as shown in Figure 2. In the past, the multi-unit control strategy mostly used the cooling load to control the start and stop of the chiller. Generally, when the load demand is close to the full cooling capacity output of a unit, a new unit is considered to be loaded. However, the best performance index of a single chiller generally does not appear at full load, so there is room for energy saving in which multiple chillers share the load demand compared with a single chiller that undertakes independently.
1984年,R.J.Hankner,et al.在其“HVAC system dynamics and energy use inbuildings-Part I”的研究中提出采用等平均的方法控制冷水机组的出 力,即单台冷水机组出力等于总的冷负荷需求乘以负荷率,负荷率是指每台冷水 机组的容量与各台容量总和的商,该控制策略简单易行,但不能达到能效最优。In 1984, R.J.Hankner, et al. proposed in their research "HVAC system dynamics and energy use buildings-Part I" to control the output of chillers by using an equal average method, that is, the output of a single chiller is equal to the total cooling load demand Multiplied by the load rate, the load rate refers to the quotient of the capacity of each chiller and the sum of the capacities of each chiller. This control strategy is simple and easy to implement, but it cannot achieve optimal energy efficiency.
2004年,Y.Yao,et al.在其“Optimal operationof a large cooling systembased on an empirical model”的研究中,综合考虑了冷冻水泵的变频节能运 行,提出以系统性能指数(SCOP)值最大化为控制目标,从而得出冷水机组的最 优控制策略。但是该策略决策过程复杂,采用的二次规划方法在低负荷工况下不 易收敛。In 2004, Y. Yao, et al., in their research on "Optimal operation of a large cooling system based on an empirical model", comprehensively considered the frequency conversion and energy-saving operation of chilled water pumps, and proposed to maximize the value of the system performance index (SCOP) as Control objectives, so as to obtain the optimal control strategy of the chiller. However, the decision-making process of this strategy is complex, and the quadratic programming method adopted is not easy to converge under low-load conditions.
2008年,杨通清等在其“基于冷水机组优化控制的节能控制策略”的研究 中通过多机组加载试验,探索了多台冷水机组在不同需求工况下基于单机COP最 优的加载点,但是并未明确表述冷却系统是否达到整体用能最优。In 2008, Yang Tongqing et al. conducted multi-unit loading tests in their research on “Energy-saving Control Strategy Based on Chiller Optimal Control”, and explored the optimal loading point of multiple chillers based on single-unit COP under different demand conditions, but did not It is not clear whether the cooling system achieves the optimal overall energy consumption.
现有发明(200810182566.5)船用中央空调制冷装置提出了一种船用中央空 调制冷装置,其目的在于提供之中制冷性能稳定、抗腐蚀的船用中央空调制冷装 置,并未涉及如何优化系统能效。The existing invention (200810182566.5) marine central air-conditioning refrigeration device proposes a marine central air-conditioning refrigeration device, the purpose of which is to provide a marine central air-conditioning refrigeration device with stable refrigeration performance and corrosion resistance, and does not involve how to optimize the energy efficiency of the system.
现有发明(201210125509.X)一种中央空调冷冻机组群控方法提出通过热量 控制这一对冷水机组群控的算法,有效使冷水机组运行在更加经济节能的状态下, 达到延长设备寿命和降低能耗的目的。其算法中并未明确冷水机组开启台数的划 分条件,即总设计负荷0%、20%、38%、55%、70%,由何种方式确定。因此, 如此划分可以使得冷水机组运行在更加经济节能的状态的说法缺乏依据。The existing invention (201210125509.X) a group control method for central air-conditioning refrigeration units proposes to use heat control, an algorithm for group control of chillers, to effectively make chillers run in a more economical and energy-saving state, prolonging equipment life and reducing purpose of energy consumption. Its algorithm does not specify the dividing conditions for the number of chillers to be turned on, that is, how to determine the total design load of 0%, 20%, 38%, 55%, and 70%. Therefore, there is no basis for saying that such division can make chillers operate in a more economical and energy-saving state.
现有发明(201510819296.4)一种基于全局关联优化的机房群控装置及其控 制方法提出了一种基于全局关联优化的机房群控装置,包括中央群控装置、水泵 控制装置、冷却塔控制装置、冷水机组通讯装置和空气处理机组控制装置;所述 水泵控制装置、冷却塔控制装置、冷水机组通讯装置和空气处理机组控制装置均 与中央群控装置连接;所述中央群控装置内置工业计算机、工业交换机和中央处 理器;所述水泵控制装置内置第一控制器和第一智能电表;所述冷却塔控制装置 内置第二控制器和第二智能电表;所述空气处理机组控制装置内置第三控制器和 第三智能电表;所述冷水机组通讯装置内置建筑能源协议网关;冷水机组通讯装 置连接冷水机组控制装置,冷水机组控制装置包括第四控制器。其核心是提出了 群控系统的架构与组成,并未描述如何进行关联优化的具体措施。Existing invention (201510819296.4) A computer room group control device based on global correlation optimization and its control method A computer room group control device based on global correlation optimization is proposed, including a central group control device, a water pump control device, a cooling tower control device, The chiller communication device and the air handling unit control device; the water pump control device, the cooling tower control device, the chiller communication device and the air handling unit control device are all connected to the central group control device; the central group control device has a built-in industrial computer, Industrial switches and central processing units; the water pump control device has a built-in first controller and a first smart meter; the cooling tower control device has a built-in second controller and a second smart meter; the air handling unit control device has a built-in third The controller and the third smart meter; the chiller communication device has a built-in building energy protocol gateway; the chiller communication device is connected to the chiller control device, and the chiller control device includes a fourth controller. Its core is to propose the structure and composition of the group control system, but does not describe the specific measures of how to carry out correlation optimization.
现有发明(201610013560.X)一种冷水机组的群控方法及系统提出了本发明 提供了一种冷水机组的群控方法及系统,其中所述方法包括:采集当前运行的冷 水机组对应的冷负荷量;将采集的所述冷负荷量与预先设定的冷负荷量进行对比; 当采集的所述冷负荷量与所述预先设定的冷负荷量满足预设条件时,对所述当前 运行的冷水机组进行加载或者减载操作其核心是提出了群控系统的架构与组成, 并未描述预设条件的生成方法。The existing invention (201610013560.X) proposes a group control method and system for water chillers The present invention provides a group control method and system for water chillers, wherein the method includes: collecting the chiller corresponding to the currently running chiller load; comparing the collected cooling load with the preset cooling load; when the collected cooling load and the preset cooling load meet the preset conditions, the current The core of the loading or unloading operation of the running chiller is to propose the structure and composition of the group control system, and does not describe the generation method of the preset conditions.
现有发明(20161010953.4)空调群控系统的控制方法及装置公开了一种空 调系统及其控制方法和装置。该空调系统包括多个空调主机,该空调系统的控制 方法包括:计算空调系统所需的能耗功率;根据空调系统所需的能耗功率确定需 要启动的空调主机的数量;控制确定数量的多个空调主机同时开启。该发明未描 述其进行多空调主机增、减机群控时,负载阈值的确定方法与节能表现之间的关 联关系。The existing invention (20161010953.4) control method and device of an air-conditioning group control system discloses an air-conditioning system and its control method and device. The air-conditioning system includes a plurality of air-conditioning hosts, and the control method of the air-conditioning system includes: calculating the energy consumption power required by the air-conditioning system; determining the number of air-conditioning hosts that need to be started according to the energy consumption power required by the air-conditioning system; Two air conditioners are turned on at the same time. This invention does not describe the relationship between the determination method of the load threshold and the energy-saving performance when it performs group control of multi-air-conditioning hosts for adding or subtracting machines.
基于以上文献回顾,目前多机组群控优化节能技术的难点在于:1.冷水机组 性能指数随着运行年限发生变化,需持续更新部分负荷下的性能指数才能准确的 进行功率优化分配。2.冷却系统的能耗不仅包括冷水机组制冷用电,也包括输送 冷冻水的传输能量损耗。在优化控制决策中应考虑水泵变频运行对系统功耗的综 合影响。3.在优化决策时,由于目标方程同时涵盖了多个不同的用能系统,也有 不同的条件约束,因此求解最优功率分配时易陷入局部最优或迭代过程收敛慢或 者不收敛的情况。Based on the above literature review, the difficulties of the current multi-unit group control optimization energy-saving technology are as follows: 1. The performance index of the chiller changes with the operating years, and the performance index under partial load needs to be continuously updated to accurately allocate power optimally. 2. The energy consumption of the cooling system includes not only the cooling power of the chiller, but also the transmission energy loss of transporting chilled water. In the optimal control decision-making, the comprehensive influence of the pump frequency conversion operation on the system power consumption should be considered. 3. When optimizing decision-making, since the objective equation covers multiple different energy-using systems and has different conditional constraints, it is easy to fall into the situation of local optimum or slow or non-convergent iteration process when solving optimal power allocation.
发明内容Contents of the invention
本发明的目的是:降低冷却系统整体能耗,提升系统运行效率。The purpose of the invention is to reduce the overall energy consumption of the cooling system and improve the operating efficiency of the system.
为了达到上述目的,本发明的技术方案是提供了一种多冷水机组联合运行的 海水冷却系统节能群控方法,其特征在于,包括以下步骤:In order to achieve the above object, the technical solution of the present invention provides a seawater cooling system energy-saving group control method for joint operation of multiple chillers, which is characterized in that it includes the following steps:
步骤一、建立系统性能指数SCOP目标方程Step 1. Establish the system performance index SCOP objective equation
式中,n1、n2分别为冷水机组及冷冻水泵的总个数,Pchiller,i为第i台冷水机 组的用电功率,COPi为第i台冷水机组的动态性能指数,C为冷冻水比热容,Δt 为供回水温差,G0,i为第i台冷冻水泵的额定流量,P0,i为第i台冷冻水泵的额定 功率;In the formula, n 1 and n 2 are the total number of chillers and chilled water pumps respectively, P chiller, i is the power consumption of the i-th chiller, COP i is the dynamic performance index of the i-th chiller, and C is the chiller Water specific heat capacity, Δt is the temperature difference between supply and return water, G 0, i is the rated flow of the i-th chilled water pump, P 0, i is the rated power of the i-th chilled water pump;
步骤二、自适应计算单台冷水机组的动态性能指数,其中,第i台冷水机组 的动态性能指数COPi表示为:Step 2. Adaptively calculate the dynamic performance index of a single chiller, where the dynamic performance index COP i of the i-th chiller is expressed as:
COPi=ai+bi·Ri+ci·Ri 2 COP i =a i +b i ·R i +c i ·R i 2
式中,Ri为第i台冷水机组的部分负荷率,线性系数ai,bi,ci采用下式自适应 更新:In the formula, R i is the partial load rate of the i-th chiller, and the linear coefficients a i , b i , and c i are adaptively updated using the following formula:
步骤三、确定系统性能指数SCOP目标方程的电功率约束条件、制冷功率约 束条件及能量守恒,其中:Step 3. Determine the electric power constraints, refrigeration power constraints and energy conservation of the system performance index SCOP objective equation, where:
电功率约束条件为:The electric power constraints are:
min(Pchiller,i)≤Pchiller,i≤max(Pchiller,i)min(P chiller, i ) ≤ P chiller, i ≤ max(P chiller, i )
min(Ppump,i)≤Ppump,i≤max(Ppump,i)min(P pump, i ) ≤ P pump, i ≤ max(P pump, i )
式中,Ppump,i为第i台冷冻水泵的用电功率;In the formula, P pump, i is the power consumption of the i-th chilled water pump;
制冷功率约束条件为:The cooling power constraints are:
min(Qchiller,i)≤Qchiller,i≤max(Qchiller,i)min(Q chiller, i ) ≤ Q chiller, i ≤ max(Q chiller, i )
式中,Qchiller,i为第i台冷水机组的制冷功率;In the formula, Q chiller, i is the cooling power of the i-th chiller;
能量守恒:Conservation of energy:
Qload为负载功率; Q load is the load power;
步骤四、采用快速模拟退火算法对系统性能指数SCOP目标方程进行最大化 求解,确定最优冷水机组功率分配;Step 4, using the fast simulated annealing algorithm to maximize the solution of the system performance index SCOP objective equation, and determine the optimal chiller power allocation;
步骤五、计算各台冷水机组的冷冻水流量,其中,第i台冷水机组的冷冻水 流量Qi=C×ΔT×Pchiller,i×COPi。Step 5: Calculating the chilled water flow of each chiller, wherein the chilled water flow Q i of the i-th chiller = C×ΔT×P chiller, i ×COP i .
优选地,所述步骤四包括过程一及过程二,其中:Preferably, said step four includes process one and process two, wherein:
过程一为采用较高的初始温度,扰动模型作全局快速全局寻优,包括如下步 骤:The first process is to use a higher initial temperature and perturb the model for global fast global optimization, including the following steps:
步骤1.1、依据随机全局扰动方程,生成新的随机解;Step 1.1, generate a new random solution according to the random global disturbance equation;
步骤1.2、将新生成的随机解代入能量方程,若能量值下降则新解被接受作 为当前状态下的最优解,若能量上升则依据Boltzmann-Gibbs分布接受概率及 Metropolis准则判定是否接受新解作为当前状态下的最优解;Step 1.2. Substitute the newly generated random solution into the energy equation. If the energy value decreases, the new solution will be accepted as the optimal solution in the current state. If the energy value increases, it will be judged whether to accept the new solution based on the acceptance probability of the Boltzmann-Gibbs distribution and the Metropolis criterion. As the optimal solution in the current state;
步骤1.3、若新解被拒绝,则返回步骤1.1;Step 1.3, if the new solution is rejected, return to step 1.1;
步骤1.4、若新解被接受,则根据退火计划式一更新当前温度,退火计划式 一为:Step 1.4, if the new solution is accepted, update the current temperature according to the annealing plan formula 1, the annealing plan formula 1 is:
式中,T和T0分别是当前温度和初始温度;α是温度衰减 系数;j为迭代次数; In the formula, T and T 0 are the current temperature and the initial temperature, respectively; α is the temperature attenuation coefficient; j is the number of iterations;
过程二为采用较低的初始温度,扰动模型作局部缓速寻优,包括如下步骤:The second process is to use a lower initial temperature and perturb the model for local retardation optimization, including the following steps:
步骤2.1、依据随机局域扰动方程,生成新的随机解;Step 2.1, generate a new random solution according to the random local disturbance equation;
步骤2.2、将新生成的随机解代入能量方程,若能量值下降则新解被接受作 为当前状态下的最优解,若能量上升则依据Boltzmann-Gibbs分布接受概率及 Metropolis准则,下面简称M准则,判定是否接受新解作为当前状态下的最优解;Step 2.2. Substitute the newly generated random solution into the energy equation. If the energy value decreases, the new solution is accepted as the optimal solution in the current state. If the energy value increases, the probability and the Metropolis criterion are accepted according to the Boltzmann-Gibbs distribution, hereinafter referred to as the M criterion , to determine whether to accept the new solution as the optimal solution in the current state;
步骤2.3、若新解被拒绝,则返回步骤2.1;Step 2.3, if the new solution is rejected, return to step 2.1;
步骤2.4、若新解被接受,则根据退火计划式二更新当前温度,退火计划式 二为:Step 2.4, if the new solution is accepted, update the current temperature according to the annealing plan formula 2, the annealing plan formula 2 is:
式中,k0为过程一的迭代次数;β为温升因子。 In the formula, k 0 is the iteration number of process one; β is the temperature rise factor.
优选地,还包括:Preferably, it also includes:
步骤六、计算各台冷水机组的转速,其中,第i台冷水机组的转速式中,Qi,0为第i台冷水机组的额定冷冻水流量,ni,0为第i台冷水机组的额定转速。Step 6. Calculate the speed of each chiller, where the speed of the i-th chiller is In the formula, Q i,0 is the rated chilled water flow of the i-th chiller, and n i,0 is the rated speed of the i-th chiller.
本发明采用改进快速退火算法对船舶冷却系统在各制冷工况需求下,对冷水 机组的制冷功率进行优化分配,提升系统性整体性能指数(SCOP)。目标方程的 建立综合考虑了冷冻水泵温差控制变流量措施的节能效果,通过冷冻水泵变频调 速满足冷冻水量的输送需求,同时降低了传输过程中无谓的能量损耗。通过自适 应计算单台冷水机组的动态性能指数,提高了目标方程的准确性。优化过程中, 采用了改进快速模拟退火算法,通过分阶段优化环节设计,实现了优化初始全局 寻优,优化后期局域寻优的理想优化过程,摆脱了常规算法在低负荷利率优化时 易陷入局域最优的问题,提升了模拟退火算法的优化效率。这些设计有效的解决 了目前实现多机组群控优化节能中的难点。The invention adopts the improved rapid annealing algorithm to optimize the distribution of the cooling power of the chiller in the cooling system of the ship under the requirements of various cooling conditions, and improve the systemic overall performance index (SCOP). The establishment of the objective equation comprehensively considers the energy-saving effect of the temperature difference control variable flow measure of the chilled water pump, and meets the transportation demand of chilled water through the frequency conversion speed regulation of the chilled water pump, and at the same time reduces the unnecessary energy loss in the transmission process. The accuracy of the objective equation is improved by adaptively calculating the dynamic performance index of a single chiller. In the optimization process, the improved fast simulated annealing algorithm is adopted, and the ideal optimization process of optimizing the initial global optimization and optimizing the later local optimization is realized through the design of the staged optimization link, getting rid of the conventional algorithm that is easy to fall into when optimizing the low-load rate. The local optimal problem improves the optimization efficiency of the simulated annealing algorithm. These designs effectively solve the difficulties in realizing multi-unit group control optimization and energy saving at present.
附图说明Description of drawings
图1为单机组海水冷却系统架构图;Figure 1 is a structure diagram of a single-unit seawater cooling system;
图2为多机组海水冷却系统冷冻水系统架构图;Figure 2 is a structural diagram of the chilled water system of the multi-unit seawater cooling system;
图3为快速退火与改进快速退火算法的退火温度曲线比较;Fig. 3 is the annealing temperature curve comparison of rapid annealing and improved rapid annealing algorithm;
图4为改进快速模拟退火算法的优化过程;Fig. 4 is the optimization process of improving fast simulated annealing algorithm;
图5为50RT、20RT冷水机组不同负荷率下COP曲线;Figure 5 shows the COP curves of 50RT and 20RT chillers under different load rates;
图6为冷却系统在需求工况45RT下的SCOP优化过程;Fig. 6 is the SCOP optimization process of the cooling system under the demand condition 45RT;
图7为系统优化前后性能指数对比。Figure 7 shows the comparison of performance index before and after system optimization.
具体实施方式Detailed ways
为使本发明更明显易懂,兹以优选实施例,并配合附图作详细说明如下。In order to make the present invention more comprehensible, preferred embodiments are described in detail below with accompanying drawings.
本发明提供了一种多冷水机组联合运行的海水冷却系统节能群控方法,包括 以下步骤:The invention provides an energy-saving group control method for a seawater cooling system operated jointly by multiple chillers, comprising the following steps:
步骤一、建立系统性能指数SCOP目标方程Step 1. Establish the system performance index SCOP objective equation
式中,n1、n2分别为冷水机组及冷冻水泵的总个数,Pchiller,i为第i台冷水机 组的用电功率,COPi为第i台冷水机组的动态性能指数,C为冷冻水比热容,Δt 为供回水温差,G0,i为第i台冷冻水泵的额定流量,P0,i为第i台冷冻水泵的额定 功率。In the formula, n 1 and n 2 are the total number of chillers and chilled water pumps respectively, P chiller, i is the power consumption of the i-th chiller, COP i is the dynamic performance index of the i-th chiller, and C is the chiller Water specific heat capacity, Δt is the temperature difference between supply and return water, G 0,i is the rated flow of the i-th chilled water pump, P 0,i is the rated power of the i-th chilled water pump.
上述公式的推导过程为:The derivation process of the above formula is:
系统性能指数是表征海水冷却系统能效的指标,其定义为系统制冷功率与系统总用电功率的商:The system performance index is an index to characterize the energy efficiency of the seawater cooling system, which is defined as the quotient of the system cooling power and the total power consumption of the system:
式中,SCOP为冷却系统的整体性能指数,Qchiller,i为第i台冷水机组的制冷功 率,Pchiller,i为第i台冷水机组的用电功率,Ppump,i为第i台冷冻水泵的用电功率。 一般情况下,冷水机组与冷冻水泵一一对应配置,所以n1=n2。若将冷水机组的 制冷功率用单台性能指标COPi替代,则式(1)可变换为:In the formula, SCOP is the overall performance index of the cooling system, Q chiller, i is the cooling power of the i-th chiller, P chiller, i is the power consumption of the i-th chiller, P pump, i is the i-th chilled water pump power consumption. Generally, chillers and chilled water pumps are configured in one-to-one correspondence, so n 1 =n 2 . If the cooling power of the chiller is replaced by a single performance index COP i , the formula (1) can be transformed into:
在某一制冷工况下,冷负荷Q确定,变流量系统的供回水温差恒定,则冷冻 水流量由下式决定:Under a certain cooling condition, the cooling load Q is fixed, and the temperature difference between the supply and return water of the variable flow system is constant, then the chilled water flow rate is determined by the following formula:
式中G为冷冻水流量,Q为冷负荷,C为冷冻水比热容,ΔT为供回水温差。 根据水泵的相似性定律,水泵的用电功率可由下式求得:In the formula, G is the chilled water flow, Q is the cooling load, C is the specific heat capacity of chilled water, and ΔT is the temperature difference between supply and return water. According to the similarity law of the water pump, the electric power of the water pump can be obtained by the following formula:
式中G0为水泵的额定流量,P0为其额定功率。将式(4)代入式(2)后, 目标方程(2)可变换为:Where G 0 is the rated flow of the pump, and P 0 is its rated power. After substituting equation (4) into equation (2), the objective equation (2) can be transformed into:
步骤二、自适应计算单台冷水机组的动态性能指数。从式(5)中可以推论, 系统的性能指数SCOP与各冷水机组的负荷分配及在该负荷分配下的单台性能指 数COP有关。由于冷水机组性能指数(COP)随着运行年限发生变化,因此在进 行系统整体性能优化在前,需对单台冷水机组的性能指数进行自适应计算。Step 2, adaptively calculating the dynamic performance index of a single chiller. It can be deduced from formula (5) that the performance index SCOP of the system is related to the load distribution of each chiller and the single performance index COP under the load distribution. Since the chiller performance index (COP) changes with the operating years, it is necessary to perform adaptive calculation on the performance index of a single chiller before optimizing the overall performance of the system.
第i台冷水机组的动态性能指数COPi表示为:The dynamic performance index COP i of the i-th chiller is expressed as:
COPi=ai+bi·Ri+ci·Ri 2 COP i =a i +b i ·R i +c i ·R i 2
式中,Ri为第i台冷水机组的部分负荷率,线性系数ai,bi,ci采用下式自适应 更新:In the formula, R i is the partial load rate of the i-th chiller, and the linear coefficients a i , b i , and c i are adaptively updated using the following formula:
上述方法可实时通过部分负荷率R获取系统运行中机组的COP值,从而可 以更好地更新目标方程中的单机COP-R关系,若R矩阵不可逆,则可采用最小 二乘递归法获取COP-R关系式。The above method can obtain the COP value of the unit in system operation in real time through the partial load rate R, so that the single-machine COP-R relationship in the objective equation can be better updated. If the R matrix is irreversible, the least squares recursive method can be used to obtain the COP-R R relational formula.
步骤三、确定系统性能指数SCOP目标方程的电功率约束条件、制冷功率约 束条件及能量守恒,其中:Step 3. Determine the electric power constraints, refrigeration power constraints and energy conservation of the system performance index SCOP objective equation, where:
电功率约束条件为:The electric power constraints are:
min(Pchiller,i)≤Pchiller,i≤max(Pchiller,i)min(P chiller, i ) ≤ P chiller, i ≤ max(P chiller, i )
min(Ppump,i)≤Ppump,i≤max(Ppump,i)min(P pump, i ) ≤ P pump, i ≤ max(P pump, i )
式中,Ppump,i为第i台冷冻水泵的用电功率;In the formula, P pump, i is the power consumption of the i-th chilled water pump;
制冷功率约束条件为:The cooling power constraints are:
min(Qchiller,i)≤Qchiller,i≤max(Qchiller,i)min(Q chiller, i ) ≤ Q chiller, i ≤ max(Q chiller, i )
式中,Qchiller,i为第i台冷水机组的制冷功率;In the formula, Q chiller, i is the cooling power of the i-th chiller;
能量守恒:Conservation of energy:
Qload为负载功率; Q load is the load power;
步骤四、采用快速模拟退火算法对系统性能指数SCOP目标方程进行最大化 求解,确定最优冷水机组功率分配。Step 4: Use the fast simulated annealing algorithm to maximize the solution to the SCOP objective equation of the system performance index, and determine the optimal chiller power allocation.
根据步骤三定义,通过最大化式(5)可使系统在满足冷量需求的前提下实 现最大的节能效果。为了避免在低负荷率下,优化过程陷入不易收敛的情境,本 文采用改进快速模拟退火算法对式(5)进行最大化求解。According to the definition of Step 3, by maximizing formula (5), the system can achieve the maximum energy-saving effect under the premise of meeting the cooling capacity demand. In order to avoid the situation where the optimization process is not easy to converge under low load rate, this paper uses the improved fast simulated annealing algorithm to maximize the solution of formula (5).
改进后的快速模拟退火算法可分为快速全局退火寻优与缓速局域退火寻优 两个过程,见图3。The improved fast simulated annealing algorithm can be divided into two processes: fast global annealing optimization and slow local annealing optimization, as shown in Figure 3.
步骤四包括过程一及过程二,其中:Step 4 includes process 1 and process 2, in which:
过程一为采用较高的初始温度,扰动模型作全局快速全局寻优,包括如下步 骤:The first process is to use a higher initial temperature and perturb the model for global fast global optimization, including the following steps:
步骤1.1、依据随机全局扰动方程,生成新的随机解:Step 1.1. Generate a new random solution according to the random global disturbance equation:
x=min(X)+r·(max(X)-min(X))x=min(X)+r·(max(X)-min(X))
式中,X为解集的值域区间;r为0与1间的随机数,服从均匀分布;x为新 生成的随机解。In the formula, X is the range interval of the solution set; r is a random number between 0 and 1, subject to uniform distribution; x is the newly generated random solution.
步骤1.2、将新生成的随机解代入能量方程,若能量值下降则新解被接受作 为当前状态下的最优解,若能量上升则依据Boltzmann-Gibbs分布接受概率及 Metropolis准则判定是否接受新解作为当前状态下的最优解;Step 1.2. Substitute the newly generated random solution into the energy equation. If the energy value decreases, the new solution will be accepted as the optimal solution in the current state. If the energy value increases, it will be judged whether to accept the new solution based on the acceptance probability of the Boltzmann-Gibbs distribution and the Metropolis criterion. As the optimal solution in the current state;
步骤1.3、若新解被拒绝,则返回步骤1.1;Step 1.3, if the new solution is rejected, return to step 1.1;
步骤1.4、若新解被接受,则根据退火计划式一更新当前温度,退火计划式 一为:Step 1.4, if the new solution is accepted, update the current temperature according to the annealing plan formula 1, the annealing plan formula 1 is:
式中,T和T0分别是当前温度和初始温度;α是温度衰减 系数;j为迭代次数; In the formula, T and T 0 are the current temperature and the initial temperature, respectively; α is the temperature attenuation coefficient; j is the number of iterations;
过程二为采用较低的初始温度,扰动模型作局部缓速寻优,包括如下步骤:The second process is to use a lower initial temperature and perturb the model for local retardation optimization, including the following steps:
步骤2.1、依据随机局域扰动方程,生成新的随机解:Step 2.1. Generate a new random solution according to the random local disturbance equation:
xj=xj-1+(r-0.5)(max(X)-min(X))/L(j)x j =x j-1 +(r-0.5)(max(X)-min(X))/L(j)
式中,X为解集的值域区间;r为0与1间的随机数,服从均匀分布;xj为新 生成的随机解;xj-1为上一次迭代生成的随机解;L(j)为搜索限制因子,与迭代 次数j正相关。In the formula, X is the range interval of the solution set; r is a random number between 0 and 1, subject to uniform distribution; x j is the newly generated random solution; x j-1 is the random solution generated in the last iteration; L( j) is the search restriction factor, which is positively related to the number of iterations j.
步骤2.2、将新生成的随机解代入能量方程,若能量值下降则新解被接受作 为当前状态下的最优解,若能量上升则依据Boltzmann-Gibbs分布接受概率及 Metropolis准则,下面简称M准则,判定是否接受新解作为当前状态下的最优解;Step 2.2. Substitute the newly generated random solution into the energy equation. If the energy value decreases, the new solution is accepted as the optimal solution in the current state. If the energy value increases, the probability and the Metropolis criterion are accepted according to the Boltzmann-Gibbs distribution, hereinafter referred to as the M criterion , to determine whether to accept the new solution as the optimal solution in the current state;
步骤2.3、若新解被拒绝,则返回步骤2.1;Step 2.3, if the new solution is rejected, return to step 2.1;
步骤2.4、若新解被接受,则根据退火计划式二更新当前温度,退火计划式 二为:Step 2.4, if the new solution is accepted, update the current temperature according to the annealing plan formula 2, the annealing plan formula 2 is:
式中,k0为过程一的迭代次数;β为温升因子。 In the formula, k 0 is the iteration number of process one; β is the temperature rise factor.
改进后的快速退火算法改变了快速退火算法单一的扰动方式,不同的退火计 划与扰动模式相配合,形成了优化初始全局寻优,优化后期局域寻优的理想优化 进程,解决了求解最优功率分配时易陷入局部最优或迭代过程收敛慢或者不收敛 的难点。图4描述了改进退火算法的执行过程。The improved fast annealing algorithm changes the single perturbation mode of the fast annealing algorithm. Different annealing plans cooperate with the perturbation mode to form an ideal optimization process that optimizes the initial global optimization and optimizes the later local optimization, and solves the problem of solving the optimal It is easy to fall into the difficulty of local optimum or slow convergence or non-convergence in the iterative process during power allocation. Figure 4 describes the implementation process of the improved annealing algorithm.
步骤五、计算各台冷水机组的冷冻水流量,其中,第i台冷水机组的冷冻水 流量Qi=C×ΔT×Pchiller,i×COPi;Step 5. Calculating the chilled water flow of each chiller, wherein, the chilled water flow Q i of the i-th chiller = C×ΔT×P chiller, i ×COP i ;
步骤六、计算各台冷水机组的转速,其中,第i台冷水机组的转速 式中,Qi,0为第i台冷水机组的额定冷冻水流量,ni,0为第i台冷水 机组的额定转速。Step 6. Calculate the speed of each chiller, where the speed of the i-th chiller is In the formula, Q i,0 is the rated chilled water flow of the i-th chiller, and n i,0 is the rated speed of the i-th chiller.
本发明采用改进快速退火算法对船舶冷却系统在各制冷工况需求下,对冷水 机组的制冷功率进行优化分配,提升系统性整体性能指数(SCOP)。目标方程的 建立综合考虑了冷冻水泵温差控制变流量措施的节能效果,通过冷冻水泵变频调 速满足冷冻水量的输送需求,同时降低了传输过程中无谓的能量损耗。通过自适 应计算单台冷水机组的动态性能指数,提高了目标方程的准确性。优化过程中, 采用了改进快速模拟退火算法,通过分阶段优化环节设计,实现了优化初始全局 寻优,优化后期局域寻优的理想优化过程,摆脱了常规算法在低负荷利率优化时 易陷入局域最优的问题,提升了模拟退火算法的优化效率。这些设计有效的解决 了目前实现多机组群控优化节能中的难点。The invention adopts the improved rapid annealing algorithm to optimize the distribution of the cooling power of the chiller in the cooling system of the ship under the requirements of various cooling conditions, and improve the systemic overall performance index (SCOP). The establishment of the objective equation comprehensively considers the energy-saving effect of the temperature difference control variable flow measure of the chilled water pump, and meets the transportation demand of chilled water through the frequency conversion speed regulation of the chilled water pump, and at the same time reduces the unnecessary energy loss in the transmission process. The accuracy of the objective equation is improved by adaptively calculating the dynamic performance index of a single chiller. In the optimization process, the improved fast simulated annealing algorithm is adopted, and the ideal optimization process of optimizing the initial global optimization and optimizing the later local optimization is realized through the design of the staged optimization link, getting rid of the conventional algorithm that is easy to fall into when optimizing the low-load rate. The local optimal problem improves the optimization efficiency of the simulated annealing algorithm. These designs effectively solve the difficulties in realizing multi-unit group control optimization and energy saving at present.
以下结合具体数据来进一步说明本发明:Further illustrate the present invention below in conjunction with specific data:
某实例配备额定制冷量为50RT及20RT冷水机组各一台以满足船舶在高、低 制冷工况下需求,其部分负荷下性能系数见图5。各机组均可实现功率间隔为10% 的制冷功率调节。50RT机组配备额定功率为5kw的冷冻水泵一台,其额定流量 为120T/h,20RT机组配备额定功率为2kw的冷冻水泵一台,其额定流量为60T/h。An example is equipped with a chiller with a rated cooling capacity of 50RT and 20RT to meet the needs of the ship under high and low cooling conditions. The performance coefficient under partial load is shown in Figure 5. Each unit can realize cooling power regulation with a power interval of 10%. The 50RT unit is equipped with a chilled water pump with a rated power of 5kw and its rated flow rate is 120T/h, and the 20RT unit is equipped with a chilled water pump with a rated power of 2kw and its rated flow rate is 60T/h.
基于上述假设,将参数带入式(5),则式(5)可简化为:Based on the above assumptions, the parameters are brought into formula (5), then formula (5) can be simplified as:
式中,Q1、Q2、P1、P2、Q1,N、Q2,N分别对应50RT机组、20RT机组的运行 制冷功率、运行用电功率、及额定制冷功率。P3,N、P4,N分别为10kw、5kw水泵 的额定功率。In the formula, Q 1 , Q 2 , P 1 , P 2 , Q 1, N , Q 2, N correspond to the operating cooling power, operating electrical power, and rated cooling power of the 50RT unit and the 20RT unit, respectively. P 3, N , P 4, N are the rated power of the 10kw and 5kw water pumps respectively.
在某一系统工况下Qd,目标方程可简写为:Under a certain system working condition Q d , the objective equation can be abbreviated as:
其中Q1+Q2≈Q。目标方程的优化可认为是在满足工况需求下对两台冷水机 组制冷功率的最优调配。where Q 1 +Q 2 ≈Q. The optimization of the objective equation can be considered as the optimal allocation of the cooling power of the two chillers under the condition of meeting the requirements of the working conditions.
图6描述了在需求工况45RT的情况下,冷却系统的功率优化过程。在前期 迭代过程中,全局扰动方程生成随机解。在温度较高的情况下,非最优解也有较 大概率满足Metropolis准则而被接受,所以在优化初期阶段系统性能指数的波 动幅度较大。在迭代过程的中后期,随机解由局域扰动方程生成。由于温度的快 速下降,非最优解满足Metropolis准则的概率逐渐下降为0,所以在优化后期, SCOP收敛,系统的功率分配达到最优。Figure 6 describes the power optimization process of the cooling system in the case of demand condition 45RT. During the early iterations, the global perturbation equation generates random solutions. In the case of higher temperature, the non-optimal solution also has a higher probability to meet the Metropolis criterion and be accepted, so the system performance index fluctuates greatly in the initial stage of optimization. In the middle and late stages of the iterative process, stochastic solutions are generated by local perturbation equations. Due to the rapid drop in temperature, the probability that the non-optimal solution satisfies the Metropolis criterion gradually decreases to 0, so in the later stage of optimization, SCOP converges, and the power allocation of the system reaches the optimum.
图7描述了优化前后,在不同制冷工况需求下的系统性能指数的对比。优化 前,系统采用了常规的满载增机策略,当20RT机组满载后,开启50RT机组,且 冷冻水泵定流量运行。优化后,系统根据优化结果分配各冷机输出功率,由于大 容量机组一般机组性能(COP)相较于小容量机组高,所以在小工况下也优先开启 大容量机组。由于冷冻水泵由定温差控制变流量运行,所以水泵的功耗由冷量决 定。在小工况下,水泵节省的能耗占比较大,因此优化前后系统性能指数差异较 大。在大工况情况下,由于双机组逐渐满载,冷冻水泵在变流量及定流量下的功 耗差异逐渐缩小,所以优化前后的系统性能指数曲线也逐渐合拢。在制冷工况为 5RT时,优化后SCOP提升2.36,是所有部分负荷情况下提升最高的。优化后各负荷工况下,SCOP平均提升0.88。Figure 7 describes the comparison of the system performance index under different cooling conditions before and after optimization. Before the optimization, the system adopted the conventional full-load expansion strategy. When the 20RT unit was fully loaded, the 50RT unit was turned on, and the chilled water pump operated at a constant flow rate. After optimization, the system allocates the output power of each chiller according to the optimization results. Since the general unit performance (COP) of large-capacity units is higher than that of small-capacity units, the large-capacity units are also preferentially turned on under small operating conditions. Since the chilled water pump operates with variable flow rate controlled by a constant temperature difference, the power consumption of the pump is determined by the cooling capacity. Under small working conditions, the energy consumption saved by the water pump accounts for a large proportion, so the system performance index before and after optimization is quite different. In the case of large working conditions, due to the gradual full load of the dual units, the difference in power consumption of the chilled water pump under variable flow and constant flow gradually decreases, so the system performance index curves before and after optimization are also gradually closed. When the cooling condition is 5RT, the optimized SCOP increases by 2.36, which is the highest increase under all partial load conditions. Under each load condition after optimization, SCOP increased by 0.88 on average.
表1罗列了优化前后系统不同的增减机策略。相较常规的增减机制度,优化 后在冷负荷发生变动时,机组的功率调整较为频繁。为了避免冷负荷短期波动性 使得系统频繁加载、卸载机组,因对实时测量负荷数据进行光滑处理,降低负荷 扰动对系统稳定性的影响。许多文献对此有详细描述,不再赘述。Table 1 lists the different strategies of increasing and decreasing machines before and after optimization. Compared with the conventional system of increasing and decreasing units, when the cooling load changes after optimization, the power adjustment of the unit is more frequent. In order to avoid the short-term fluctuation of the cooling load, the system frequently loads and unloads the unit, and the real-time measured load data is smoothed to reduce the impact of load disturbance on system stability. Many documents have described it in detail, so I won't repeat it here.
表1优化前后系统增减机策略对比Table 1 Comparison of system increase and decrease strategies before and after optimization
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