CN110535178B - Energy Control Strategy of Photovoltaic/Lithium Battery Hybrid System Based on Single Particle Physics Model - Google Patents
Energy Control Strategy of Photovoltaic/Lithium Battery Hybrid System Based on Single Particle Physics Model Download PDFInfo
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Abstract
本发明涉及一种基于单粒子物理模型的光伏/锂电池混合系统能量控制策略,包括:步骤1.PV‑BES混合系统模块设计,包括:光伏板阵列、最大功率点跟踪控制器、锂电池组和电子元器件;整个光伏板阵列和相关电子元器件表示为一组微分代数方程,并与锂电池模型方程集成;步骤2.光伏板阵列建模:建立基于单二极管建立光伏板阵列的等效电路模型;步骤3.PV‑BES混合系统的硬件和算法流程设计;步骤4.PV‑BES混合系统的能量控制策略设计;控制光伏板和电池储能系统BES之间的功率流。本发明的有益效果是:本发明能够有效地实现控制算法,实现更准确的性能预测和鲁棒控制,本发明提出的能量控制算法能够满足多项性能指标,如零剩余能量、无过充现象和保持安全SOC范围等。
The invention relates to an energy control strategy for a photovoltaic/lithium battery hybrid system based on a single particle physical model, including: Step 1. Module design of the PV-BES hybrid system, including: photovoltaic panel array, maximum power point tracking controller, lithium battery pack and electronic components; the entire photovoltaic panel array and related electronic components are expressed as a set of differential algebraic equations and integrated with the lithium battery model equations; Step 2. Photovoltaic panel array modeling: build an equivalent of a photovoltaic panel array based on a single diode Circuit model; Step 3. Hardware and algorithm flow design of PV-BES hybrid system; Step 4. Energy control strategy design of PV-BES hybrid system; Control the power flow between photovoltaic panels and battery energy storage system BES. The beneficial effects of the present invention are: the present invention can effectively realize the control algorithm, realize more accurate performance prediction and robust control, and the energy control algorithm proposed by the present invention can satisfy a number of performance indicators, such as zero residual energy, no overcharge phenomenon and maintaining a safe SOC range, etc.
Description
技术领域technical field
本发明涉及能量控制领域,尤其是涉及一种基于单粒子物理模型的光伏/锂电池混合系统能量控制策略。更具体地说,它涉及一种基于物理性能的锂电池单粒子模型和基于混合阶数有限差分法(Mixed FD)和最大功率点跟踪(MPPT)模式的独立光伏/锂电池储能混合系统(PV-BES)能量控制策略。The invention relates to the field of energy control, in particular to an energy control strategy for a photovoltaic/lithium battery hybrid system based on a single particle physical model. More specifically, it relates to a single-particle model of lithium batteries based on physical properties and an independent photovoltaic/lithium battery energy storage hybrid system based on Mixed Order Finite Difference (Mixed FD) and Maximum Power Point Tracking (MPPT) modes ( PV-BES) energy control strategy.
背景技术Background technique
建立太阳能光伏发电厂已成为满足日益增长的清洁能源需求的可行措施,采用最优运行策略的无电池光伏微电网还可以提供不间断电能,降低总调度能源成本。但是目前微电网仍旧需要石化燃料作为辅助能源,对环境保护不利。The establishment of solar photovoltaic power plants has become a feasible measure to meet the growing demand for clean energy, and battery-free photovoltaic microgrids with optimal operation strategies can also provide uninterrupted power and reduce total dispatch energy costs. However, the current microgrid still needs fossil fuels as auxiliary energy, which is not good for environmental protection.
研究者提出的锂电池模型分为两大类:物理模型和等效电路模型(ECM)。Natsheh等人提出一种利用等效电路模拟电池性能的PV-BES混合系统,并利用经验模型建立光伏电池/微电网的新模型。该模型中等效电路模型ECM用于预测光伏发电厂的整体运行条件和功率值。但是,等效电路模型ECM依赖于电阻-电容(RC)网络,在动态工况下的控制模块会偏离实验数据。基于物理性能的电池模型包括耦合的偏微分方程,具有较好的可靠性和控制性能,最大限度地提高光伏发电系统的寿命和安全性。The lithium battery models proposed by the researchers are divided into two categories: physical models and equivalent circuit models (ECM). Natsheh et al. propose a PV-BES hybrid system that uses an equivalent circuit to simulate battery performance, and use empirical models to build a new model for photovoltaic cells/microgrids. In this model, the equivalent circuit model ECM is used to predict the overall operating conditions and power values of photovoltaic power plants. However, the equivalent circuit model ECM relies on a resistor-capacitor (RC) network, and the control module under dynamic conditions deviates from the experimental data. The battery model based on physical properties includes coupled partial differential equations, has better reliability and control performance, and maximizes the lifetime and safety of photovoltaic power generation systems.
PV-BES混合系统的控制策略和功率分配是另一个值得关注的研究领域,已有文献提出最优功率控制策略。将电池储能系统(BES)与独立的光伏系统相结合,设计PV-BES混合系统以满足所有运行条件下的负载需求。锂电池(LIBs)由于其优良的储能性能和较长的循环寿命,广泛应用于PV-BES混合系统中。但是,在PV-BES混合系统的仿真和控制算法中,电池被视为黑匣子,其内部状态较少考虑,整体能量控制策略也研究较少。The control strategy and power allocation of PV-BES hybrid system is another research area worthy of attention, and the optimal power control strategy has been proposed in the literature. Combining a battery energy storage system (BES) with a stand-alone photovoltaic system, a PV-BES hybrid system is designed to meet load demands under all operating conditions. Lithium-ion batteries (LIBs) are widely used in PV-BES hybrid systems due to their excellent energy storage performance and long cycle life. However, in the simulation and control algorithm of PV-BES hybrid system, the battery is regarded as a black box, its internal state is less considered, and the overall energy control strategy is also less studied.
综上所述,提出一种基于单粒子物理模型的光伏/锂电池混合系统能量控制策略,就显得尤为重要。In summary, it is particularly important to propose an energy control strategy for photovoltaic/lithium battery hybrid systems based on a single-particle physical model.
发明内容SUMMARY OF THE INVENTION
本发明的目的是克服现有技术中的不足,提供一种基于单粒子物理模型的光伏/锂电池混合系统能量控制策略。The purpose of the present invention is to overcome the deficiencies in the prior art and provide a photovoltaic/lithium battery hybrid system energy control strategy based on a single particle physical model.
这种基于单粒子物理模型的光伏/锂电池混合系统能量控制策略,具体包括以下步骤:The energy control strategy of the photovoltaic/lithium battery hybrid system based on the single-particle physics model specifically includes the following steps:
步骤1.PV-BES混合系统模块设计;所述模块包括:光伏板阵列、最大功率点跟踪控制器、锂电池组和电子元器件;整个光伏板阵列和相关电子元器件表示为一组微分代数方程,并与锂电池模型方程集成;
步骤2.光伏板阵列建模:基于单二极管建立光伏板阵列的等效电路模型;Step 2. Photovoltaic panel array modeling: establish an equivalent circuit model of a photovoltaic panel array based on a single diode;
步骤3.PV-BES混合系统的硬件和算法流程设计;Step 3. Hardware and algorithm flow design of PV-BES hybrid system;
步骤4.PV-BES混合系统的能量控制策略设计;控制光伏板和电池储能系统BES之间的功率流。
作为优选,所述步骤1具体包括以下步骤:Preferably, the
步骤1.1.建立基于物理性能的单粒子等效模型;根据Frick第二定律如公式(1),将环境温度和太阳辐射作为光伏模型的输入,光伏板电压和电流作为输出;所述基于物理性能的单粒子等效模型的初始状态公式为公式(2),边界条件公式为公式(3):Step 1.1. Establish a single-particle equivalent model based on physical properties; according to Frick's second law, such as formula (1), the ambient temperature and solar radiation are used as inputs to the photovoltaic model, and the photovoltaic panel voltage and current are used as outputs; the physical properties are based on The initial state formula of the single-particle equivalent model is formula (2), and the boundary condition formula is formula (3):
Qi=Qi0;当t=0 (2)Q i =Q i0 ; when t=0 (2)
上式中,t为时间变量,Qi为正极和负极锂粒子电量,Di为粒子直径,ri为粒子半径,i=n表示负极,i=p表示正极,Qi0为锂粒子电量初值,Ri为临界半径值,Ji为粒子能量;In the above formula, t is the time variable, Q i is the charge of the positive and negative lithium particles, Di is the particle diameter, ri is the particle radius, i =n represents the negative electrode, i=p represents the positive electrode, and Q i0 is the initial charge of the lithium particle. value, R i is the critical radius value, J i is the particle energy;
步骤1.2.PV-BES混合系统工作时:Step 1.2. When PV-BES hybrid system works:
1)若光伏板产生的电能超过负载需求量,将多余电能用于锂电池充电;能量控制策略管理功率流,避免电池组过充或过放;1) If the power generated by the photovoltaic panels exceeds the load demand, the excess power is used to charge the lithium battery; the energy control strategy manages the power flow to avoid overcharging or overdischarging the battery pack;
2)当荷电状态SOC达到100%,控制策略使光伏板跳离最大功率点的工作模式,锂电池与光伏板断开,光伏板仅产生满足负载需求的电能;2) When the state of charge SOC reaches 100%, the control strategy makes the photovoltaic panel jump out of the working mode of the maximum power point, the lithium battery is disconnected from the photovoltaic panel, and the photovoltaic panel only generates electrical energy that meets the load demand;
3)控制策略根据负载需求、太阳辐射和锂电池荷电状态SOC值,光伏板选择正常工作模式。3) Control strategy According to the load demand, solar radiation and the SOC value of the lithium battery state of charge, the photovoltaic panel selects the normal working mode.
作为优选,所述步骤2具体包括以下步骤:Preferably, the step 2 specifically includes the following steps:
步骤2.1光伏板阵列的伏安特性公式如下:Step 2.1 The volt-ampere characteristic formula of the photovoltaic panel array is as follows:
上式中,V(t)为输出电压,I(t)为输出电流,Ipv(t)为光伏板电流源,Isat为饱和电流,VT为热电压,Rs是串联电阻,Rp为并联电阻,α为二极管理想常数;In the above formula, V(t) is the output voltage, I(t) is the output current, I pv (t) is the photovoltaic panel current source, Isat is the saturation current, V T is the thermal voltage, R s is the series resistance, R p is the parallel resistance, α is the ideal constant of the diode;
重要参数求解方程如下:The important parameters to solve the equation are as follows:
上式中,VT为热电压,k为Boltzmann常数,Cs为串联连接电容,T为瞬时温度,q为电子电荷,Ipv(t)为光伏板电流源;Ipv,n为光照产生电流值,KI为电流系数,Tn为额定温度,Gn为额定光照,G(t)为瞬时光照,Isat为饱和电流,Ioc,n为额定短路电流,Voc,n为额定短路电压,α为二极管常数;In the above formula, V T is the thermal voltage, k is the Boltzmann constant, C s is the series connection capacitance, T is the instantaneous temperature, q is the electron charge, I pv (t) is the photovoltaic panel current source; I pv, n is the light generation Current value, K I is the current coefficient, T n is the rated temperature, G n is the rated illumination, G(t) is the instantaneous illumination, Isat is the saturation current, I oc,n is the rated short-circuit current, V oc,n is the rated short-circuit voltage, α is the diode constant;
步骤2.2.建立基于微分代数方程的最大功率点跟踪算法公式,将光伏板阵列和相关电子元器件表示为微分代数方程:Step 2.2. Establish the maximum power point tracking algorithm formula based on differential algebraic equations, and express the photovoltaic panel array and related electronic components as differential algebraic equations:
上式中,P(t)为光伏阵列的输出功率,I(t)为输出电流,P(t)和I(t)都是输出电压的函数,d()为求导公式;跟踪算法公式的最终形式为:In the above formula, P(t) is the output power of the photovoltaic array, I(t) is the output current, both P(t) and I(t) are functions of the output voltage, and d() is the derivation formula; the tracking algorithm formula The final form is:
上式中,I(t)为输出电流,V(t)为输出电压,Isat为饱和电流,Rs为串联电阻,VT为热电压,α为二极管理想常数,Rp为并联电阻。In the above formula, I( t ) is the output current, V( t ) is the output voltage, Isat is the saturation current, Rs is the series resistance, VT is the thermal voltage, α is the diode ideal constant, and Rp is the parallel resistance.
作为优选,所述步骤3具体包括以下步骤:Preferably, the step 3 specifically includes the following steps:
步骤3.1:将硬件的直流总线电流表示为:Step 3.1: Express the DC bus current of the hardware as:
上式中,Idc,battery(t)为锂电池直流总线电流,PPV(t)为连接到光伏板的逆变器输出功率,Pdemand(t)为整体系统所需功率,η为双向直流/交流逆变器转换效率,Vdc为双向直流/交流逆变器电压;In the above formula, I dc,battery (t) is the DC bus current of the lithium battery, P PV (t) is the output power of the inverter connected to the photovoltaic panel, P demand (t) is the power required by the overall system, and η is the bidirectional DC/AC inverter conversion efficiency, V dc is the bidirectional DC/AC inverter voltage;
步骤3.2:用PV-BES混合系统来补偿负载和光伏系统电能之间的差异:利用具有转换效率η的双向直流/交流逆变器,将直流电转换为交流电或交流电转换为直流电;光伏板产生的电能通过双向直流/交流逆变器后提供给用电设备,若负载所需电能小于光伏板产生的总电能,则多余电能将给电池储能系统BES充电,若负载电能需求量大于光伏板产生的总电能,则电池储能系统BES放电并提供额外电能。Step 3.2: Use a PV-BES hybrid system to compensate for the difference between the load and the photovoltaic system power: use a bidirectional DC/AC inverter with conversion efficiency η to convert DC to AC or AC to DC; The electrical energy is supplied to the electrical equipment through the bidirectional DC/AC inverter. If the electrical energy required by the load is less than the total electrical energy generated by the photovoltaic panels, the excess electrical energy will charge the battery energy storage system BES. If the electrical energy demanded by the load is greater than that generated by the photovoltaic panels The total electrical energy of the battery energy storage system BES discharges and provides additional electrical energy.
作为优选,所述步骤4具体包括以下步骤:Preferably, the
步骤4.1.控制策略流程描述:Step 4.1. Control strategy flow description:
1)输入负载的年负荷量、太阳辐射能、PV参数和电池参数;1) Input the annual load, solar radiation energy, PV parameters and battery parameters of the load;
2)根据输入数据计算参数值IPV,max(t)、VPV,max(t)和PPV(t);2) Calculate the parameter values I PV,max (t), V PV,max (t) and P PV (t) according to the input data;
3)判断PPV(t)是否满足PPV(t)>Pdemand(t):若不满足PPV(t)>Pdemand(t),进行锂电池充电,并基于混合阶数有限差分法和Runge–Kutta算法进行单粒子模型求解荷电状态SOC;若满足PPV(t)>Pdemand(t),则进入4);3) Determine whether P PV (t) satisfies P PV (t)>P demand (t): if it does not satisfy P PV (t)> P demand (t), charge the lithium battery, and use the hybrid order finite difference method and Runge–Kutta algorithm for single particle model to solve the state of charge SOC; if P PV (t)>P demand (t) is satisfied, then go to 4);
4)判断荷电状态SOC值大小:若满足SOC=100%,则锂电池停止充电;若不满足SOC=100%,进行锂电池充电,并基于混合阶数有限差分法和Runge–Kutta算法求解基于物理性能的单粒子等效模型;4) Judging the SOC value of the state of charge: if the SOC=100% is satisfied, the lithium battery stops charging; if the SOC=100% is not satisfied, the lithium battery is charged, and is solved based on the mixed order finite difference method and the Runge–Kutta algorithm Single particle equivalent model based on physical properties;
5)在4)的基础上,再次判断是否满足SOC=100%;若满足SOC=100%,锂电池停止充电,若不满足SOC=100%,基于锂电池荷电状态SOC值,计算电压值Vbattey(t);5) On the basis of 4), judge again whether the SOC=100% is satisfied; if the SOC=100% is satisfied, the lithium battery stops charging, if the SOC=100% is not satisfied, the voltage value is calculated based on the SOC value of the lithium battery state of charge V battey (t);
6):计算总需求功率,所述总需求功率Pdemand包括锂电池需求功率Pbattey和太阳能板需求功率PPV,计算公式满足Pdemand=PPV+Pbattey;6): Calculate the total demand power, the total demand power P demand includes the lithium battery demand power P battey and the solar panel demand power P PV , and the calculation formula satisfies P demand =P PV +P battey ;
步骤4.2.混合系统调节模式切换流程设计:Step 4.2. Design of the switching process of the hybrid system adjustment mode:
1)若锂电池荷电状态SOC达到100%的过充状态,则电池性能降低,电池寿命减少;1) If the SOC of the lithium battery reaches the overcharge state of 100%, the battery performance will be reduced and the battery life will be reduced;
2)在高太阳辐射、无负载/轻负载和高荷电状态SOC条件下:荷电状态SOC限制模式始终有效;光伏板仅测量负载需求,光伏板自动降低负载所需功率,直到锂电池荷电状态SOC降至100%内;2) Under high solar radiation, no load/light load and high state of charge SOC conditions: the state of charge SOC limit mode is always active; the photovoltaic panel only measures the load demand, and the photovoltaic panel automatically reduces the power required by the load until the lithium battery is charged. The electrical state SOC drops to within 100%;
3)当负载需求增大或锂电池未完全充电时,混合系统以MPPT模式运行,该模式确保光伏板产生最大功率;若总功率不能满足负载需求,则电池储能系统BES将进行放电满足负载功率需求;3) When the load demand increases or the lithium battery is not fully charged, the hybrid system operates in MPPT mode, which ensures that the photovoltaic panels generate maximum power; if the total power cannot meet the load demand, the battery energy storage system BES will discharge to meet the load. power requirements;
4)任何时刻,只有一种调节模式处于激活状态,且只有一个控制目标;控制算法根据操作参数从一种模式切换到另一种模式。4) At any time, only one regulation mode is active, and there is only one control target; the control algorithm switches from one mode to another according to the operating parameters.
本发明的有益效果是:The beneficial effects of the present invention are:
本发明利用微分代数方程组表示光伏/锂电池混合系统PV-BES,该方程组能够有效地实现控制算法。同时,建立基于物理性能的锂电池单粒子状态模型,并应用于仿真和控制过程中。该模型包括基于单二极管的光伏电池模型、基于物理性能的锂电池单粒子模型和基于微分代数方程的最大功率点跟踪控制算法。利用基于物理性能的锂电池单粒子模型,实现更准确的性能预测和鲁棒控制,同时提出将热效应和降解机制引入控制模型中;新方法能够更好地理解和分析电池储能系统BES的降解机理,预测电池储能系统BES的剩余使用寿命;仿真结果表明,本发明提出的能量控制算法能够满足多项性能指标,如零剩余能量、无过充现象和保持安全SOC范围等。The present invention uses a differential algebraic equation system to represent the photovoltaic/lithium battery hybrid system PV-BES, and the equation system can effectively realize a control algorithm. At the same time, a lithium battery single-particle state model based on physical properties is established and applied in the simulation and control process. The model includes a photovoltaic cell model based on a single diode, a lithium battery single particle model based on physical properties, and a maximum power point tracking control algorithm based on differential algebraic equations. Using a single-particle model of lithium batteries based on physical properties to achieve more accurate performance prediction and robust control, and proposed to introduce thermal effects and degradation mechanisms into the control model; the new method can better understand and analyze the degradation of BES in battery energy storage systems According to the mechanism, the remaining service life of the BES of the battery energy storage system is predicted; the simulation results show that the energy control algorithm proposed by the present invention can meet a number of performance indicators, such as zero residual energy, no overcharge phenomenon, and maintaining a safe SOC range.
附图说明Description of drawings
图1为基于单二极管的光伏电池等效电路模型;Figure 1 is an equivalent circuit model of a photovoltaic cell based on a single diode;
图2为光伏/锂电池混合系统PV-BES硬件和算法流程图;Figure 2 is a flow chart of the PV-BES hardware and algorithm of the photovoltaic/lithium battery hybrid system;
图3为光伏/锂电池混合系统PV-BES能量控制策略流程图;Figure 3 is a flow chart of the PV-BES energy control strategy for the photovoltaic/lithium battery hybrid system;
图4为基于发电厂全年数据的锂电池电压值和SOC值估计结果;Figure 4 shows the estimated results of lithium battery voltage value and SOC value based on the annual data of the power plant;
图5为SOC极限模式下的光伏板产生功率;Figure 5 shows the power generated by the photovoltaic panel in the SOC limit mode;
图6为SOC极限模式下的负载功率图;Fig. 6 is the load power diagram under the SOC limit mode;
图7为SOC极限模式下的锂电池SOC值。Figure 7 shows the SOC value of the lithium battery in the SOC limit mode.
具体实施方式Detailed ways
下面结合实施例对本发明做进一步描述。下述实施例的说明只是用于帮助理解本发明。应当指出,对于本技术领域的普通人员来说,在不脱离本发明原理的前提下,还可以对本发明进行若干修饰,这些改进和修饰也落入本发明权利要求的保护范围内。The present invention will be further described below in conjunction with the embodiments. The following examples are illustrative only to aid in the understanding of the present invention. It should be pointed out that for those skilled in the art, without departing from the principle of the present invention, the present invention can also be modified several times, and these improvements and modifications also fall within the protection scope of the claims of the present invention.
为了克服以下问题:To overcome the following problems:
1)微电网仍旧需要石化燃料作为辅助能源,对环境保护不利;1) Microgrid still needs fossil fuels as auxiliary energy, which is not good for environmental protection;
2)等效电路模型ECM依赖于电阻-电容(RC)网络,在动态工况下的控制模块会偏离实验数据;2) The equivalent circuit model ECM relies on the resistance-capacitor (RC) network, and the control module under dynamic conditions will deviate from the experimental data;
3)PV-BES混合系统的仿真和控制算法中,电池被视为黑匣子,其内部状态较少考虑,整体能量控制策略也研究较少。3) In the simulation and control algorithm of PV-BES hybrid system, the battery is regarded as a black box, its internal state is less considered, and the overall energy control strategy is also less studied.
本发明的目的是克服现有技术中的不足,提供一种基于单粒子物理模型的光伏/锂电池混合系统能量控制策略。整个光伏板阵列和相关电子元器件表示为一组微分代数方程(DAE),并与锂电池模型方程集成,实现同步模拟和高效控制。The purpose of the present invention is to overcome the deficiencies in the prior art and provide a photovoltaic/lithium battery hybrid system energy control strategy based on a single particle physical model. The entire photovoltaic panel array and associated electronic components are represented as a set of differential algebraic equations (DAEs) and integrated with the lithium battery model equations for simultaneous simulation and efficient control.
这种基于单粒子物理模型的光伏/锂电池混合系统能量控制策略,具体包括以下步骤:The energy control strategy of the photovoltaic/lithium battery hybrid system based on the single-particle physics model specifically includes the following steps:
步骤1.PV-BES混合系统模块设计;所述模块包括:光伏板阵列、最大功率点跟踪控制器、锂电池组和电子元器件;整个光伏板阵列和相关电子元器件表示为一组微分代数方程,并与锂电池模型方程集成;
步骤2.光伏板阵列建模:基于单二极管建立光伏板阵列的等效电路模型;Step 2. Photovoltaic panel array modeling: establish an equivalent circuit model of a photovoltaic panel array based on a single diode;
步骤3.PV-BES混合系统的硬件和算法流程设计,如图2所示;Step 3. Hardware and algorithm flow design of PV-BES hybrid system, as shown in Figure 2;
步骤4.PV-BES混合系统的能量控制策略设计;控制光伏板和电池储能系统BES之间的功率流。
作为优选,所述步骤1具体包括以下步骤:Preferably, the
步骤1.1.建立基于物理性能的单粒子等效模型;根据Frick第二定律如公式(1),将环境温度和太阳辐射作为光伏模型的输入,光伏板电压和电流作为输出;所述基于物理性能的单粒子等效模型的初始状态公式为公式(2),边界条件公式为公式(3):Step 1.1. Establish a single-particle equivalent model based on physical properties; according to Frick's second law, such as formula (1), the ambient temperature and solar radiation are used as inputs to the photovoltaic model, and the photovoltaic panel voltage and current are used as outputs; the physical properties are based on The initial state formula of the single-particle equivalent model is formula (2), and the boundary condition formula is formula (3):
Qi=Qi0;当t=0 (2)Q i =Q i0 ; when t=0 (2)
上式中,t为时间变量,Qi为正极和负极锂粒子电量,Di为粒子直径,ri为粒子半径,i=n表示负极,i=p表示正极,Qi0为锂粒子电量初值,Ri为临界半径值,Ji为粒子能量;In the above formula, t is the time variable, Q i is the charge of the positive and negative lithium particles, Di is the particle diameter, ri is the particle radius, i =n represents the negative electrode, i=p represents the positive electrode, and Q i0 is the initial charge of the lithium particle. value, R i is the critical radius value, J i is the particle energy;
步骤1.2.PV-BES混合系统工作时:Step 1.2. When PV-BES hybrid system works:
1)若光伏板产生的电能超过负载需求量,将多余电能用于锂电池充电;能量控制策略管理功率流,避免电池组过充或过放;1) If the power generated by the photovoltaic panels exceeds the load demand, the excess power is used to charge the lithium battery; the energy control strategy manages the power flow to avoid overcharging or overdischarging the battery pack;
2)当荷电状态SOC达到100%,控制策略使光伏板跳离最大功率点的工作模式,锂电池与光伏板断开,光伏板仅产生满足负载需求的电能;2) When the state of charge SOC reaches 100%, the control strategy makes the photovoltaic panel jump out of the working mode of the maximum power point, the lithium battery is disconnected from the photovoltaic panel, and the photovoltaic panel only generates electrical energy that meets the load demand;
3)控制策略根据负载需求、太阳辐射和锂电池荷电状态SOC值,光伏板选择正常工作模式。3) Control strategy According to the load demand, solar radiation and the SOC value of the lithium battery state of charge, the photovoltaic panel selects the normal working mode.
作为优选,所述步骤2具体包括以下步骤:Preferably, the step 2 specifically includes the following steps:
步骤2.1基于单二极管建立光伏板阵列的等效电路模型;如图1所示,其中,V为输出电压,I为输出电流,Ipv为光伏板产生电流源,Rp为并联等效电阻,Rs是串联等效电阻,单二极管并联接入电路中,所述光伏板阵列的伏安特性公式如下:Step 2.1 Establish an equivalent circuit model of the photovoltaic panel array based on a single diode; as shown in Figure 1, where V is the output voltage, I is the output current, I pv is the current source generated by the photovoltaic panel, R p is the parallel equivalent resistance, R s is the series equivalent resistance, and a single diode is connected in parallel to the circuit. The volt-ampere characteristic formula of the photovoltaic panel array is as follows:
上式中,V(t)为输出电压,I(t)为输出电流,Ipv(t)为光伏板电流源,Isat为饱和电流,VT为热电压,Rs是串联电阻,Rp为并联等效电阻,α为二极管理想常数;In the above formula, V(t) is the output voltage, I(t) is the output current, I pv (t) is the photovoltaic panel current source, Isat is the saturation current, V T is the thermal voltage, R s is the series resistance, R p is the parallel equivalent resistance, α is the ideal constant of the diode;
重要参数求解方程如下:The important parameters to solve the equation are as follows:
上式中,VT为热电压,k为Boltzmann常数,Cs为串联连接电容,T为瞬时温度,q为电子电荷,Ipv(t)为光伏板电流源;Ipv,n为光照产生电流值,KI为电流系数,Tn为额定温度,Gn为额定光照,G(t)为瞬时光照,Isat为饱和电流,Ioc,n为额定短路电流,Voc,n为额定短路电压,α为二极管常数;In the above formula, V T is the thermal voltage, k is the Boltzmann constant, C s is the series connection capacitance, T is the instantaneous temperature, q is the electron charge, I pv (t) is the photovoltaic panel current source; I pv, n is the light generation Current value, K I is the current coefficient, T n is the rated temperature, G n is the rated illumination, G(t) is the instantaneous illumination, Isat is the saturation current, I oc,n is the rated short-circuit current, V oc,n is the rated short-circuit voltage, α is the diode constant;
步骤2.2.建立基于微分代数方程的最大功率点跟踪算法公式,将光伏板阵列和相关电子元器件表示为微分代数方程:Step 2.2. Establish the maximum power point tracking algorithm formula based on differential algebraic equations, and express the photovoltaic panel array and related electronic components as differential algebraic equations:
上式中,P(t)为光伏阵列的输出功率,I(t)为输出电流,P(t)和I(t)都是输出电压的函数,d()为求导公式;将公式(5)代入公式(6),跟踪算法公式的最终形式为:In the above formula, P(t) is the output power of the photovoltaic array, I(t) is the output current, both P(t) and I(t) are functions of the output voltage, and d() is the derivation formula; 5) Substitute into formula (6), the final form of the tracking algorithm formula is:
上式中,I(t)为输出电流,V(t)为输出电压,Isat为饱和电流,Rs为串联电阻,VT为热电压,α为二极管理想常数,Rp为并联电阻。In the above formula, I( t ) is the output current, V( t ) is the output voltage, Isat is the saturation current, Rs is the series resistance, VT is the thermal voltage, α is the diode ideal constant, and Rp is the parallel resistance.
作为优选,所述步骤3具体包括以下步骤:Preferably, the step 3 specifically includes the following steps:
步骤3.1:将硬件的直流总线电流表示为:Step 3.1: Express the DC bus current of the hardware as:
上式中,Idc,battery(t)为锂电池直流总线电流,PPV(t)为连接到光伏板的逆变器输出功率,Pdemand(t)为整体系统所需功率,η为双向直流/交流逆变器转换效率,Vdc为双向直流/交流逆变器电压;In the above formula, I dc,battery (t) is the DC bus current of the lithium battery, P PV (t) is the output power of the inverter connected to the photovoltaic panel, P demand (t) is the power required by the overall system, and η is the bidirectional DC/AC inverter conversion efficiency, V dc is the bidirectional DC/AC inverter voltage;
步骤3.2:用光伏/锂电池混合系统PV-BES来补偿负载和光伏系统电能之间的差异:利用具有转换效率η的双向直流/交流逆变器,将直流电转换为交流电或交流电转换为直流电;光伏板产生的电能通过双向直流/交流逆变器后提供给用电设备,若负载所需电能小于光伏板产生的总电能,则多余电能将给电池储能系统BES充电,若负载电能需求量大于光伏板产生的总电能,则电池储能系统BES放电并提供额外电能。Step 3.2: Compensate the difference between load and photovoltaic system power with photovoltaic/lithium battery hybrid system PV-BES: convert DC to AC or AC to DC using a bidirectional DC/AC inverter with conversion efficiency η; The electric energy generated by the photovoltaic panels is supplied to the electrical equipment through the bidirectional DC/AC inverter. If the electric energy required by the load is less than the total electric energy generated by the photovoltaic panels, the excess electric energy will charge the battery energy storage system BES. If it is greater than the total electricity generated by the photovoltaic panels, the battery energy storage system BES discharges and provides additional electricity.
作为优选,所述步骤4具体包括以下步骤:Preferably, the
步骤4.1.控制流程如图3所示,控制策略流程描述:Step 4.1. The control flow is shown in Figure 3, and the control strategy flow is described:
1)输入负载的年负荷量、太阳辐射能、PV参数和电池参数;1) Input the annual load, solar radiation energy, PV parameters and battery parameters of the load;
2)根据输入数据计算参数值IPV,max(t)、VPV,max(t)和PPV(t);2) Calculate the parameter values I PV,max (t), V PV,max (t) and P PV (t) according to the input data;
3)判断PPV(t)是否满足PPV(t)>Pdemand(t):若不满足PPV(t)>Pdemand(t),进行锂电池充电,并基于混合阶数有限差分法和Runge–Kutta算法进行单粒子模型求解荷电状态SOC;若满足PPV(t)>Pdemand(t),则进入4);3) Determine whether P PV (t) satisfies P PV (t)>P demand (t): if it does not satisfy P PV (t)> P demand (t), charge the lithium battery, and use the hybrid order finite difference method and Runge–Kutta algorithm for single particle model to solve the state of charge SOC; if P PV (t)>P demand (t) is satisfied, then go to 4);
4)判断荷电状态SOC值大小:若满足SOC=100%,则锂电池停止充电;若不满足SOC=100%,进行锂电池充电,并基于混合阶数有限差分法和Runge–Kutta算法求解基于物理性能的单粒子等效模型;4) Judging the SOC value of the state of charge: if the SOC=100% is satisfied, the lithium battery stops charging; if the SOC=100% is not satisfied, the lithium battery is charged, and is solved based on the mixed order finite difference method and the Runge–Kutta algorithm Single particle equivalent model based on physical properties;
5)在4)的基础上,再次判断是否满足SOC=100%;若满足SOC=100%,锂电池停止充电,若不满足SOC=100%,基于锂电池荷电状态SOC值,计算电压值Vbattey(t);5) On the basis of 4), judge again whether the SOC=100% is satisfied; if the SOC=100% is satisfied, the lithium battery stops charging, if the SOC=100% is not satisfied, the voltage value is calculated based on the SOC value of the lithium battery state of charge V battey (t);
6):计算总需求功率,所述总需求功率Pdemand包括锂电池需求功率Pbattey和太阳能板需求功率PPV,计算公式满足Pdemand=PPV+Pbattey;6): Calculate the total demand power, the total demand power P demand includes the lithium battery demand power P battey and the solar panel demand power P PV , and the calculation formula satisfies P demand =P PV +P battey ;
步骤4.2.混合系统调节模式切换流程设计:Step 4.2. Design of the switching process of the hybrid system adjustment mode:
1)1)在任何太阳辐射和负载条件下,均可以自由选择调节模式;若锂电池荷电状态SOC达到100%的过充状态,则电池性能降低,电池寿命减少;1) 1) Under any solar radiation and load conditions, the adjustment mode can be freely selected; if the SOC of the lithium battery reaches an overcharged state of 100%, the battery performance will be reduced and the battery life will be reduced;
2)在高太阳辐射、无负载/轻负载和高荷电状态SOC条件下:荷电状态SOC限制模式始终有效;光伏板仅测量负载需求,光伏板自动降低负载所需功率,直到锂电池荷电状态SOC降至100%内;2) Under high solar radiation, no load/light load and high state of charge SOC conditions: the state of charge SOC limit mode is always active; the photovoltaic panel only measures the load demand, and the photovoltaic panel automatically reduces the power required by the load until the lithium battery is charged. The electrical state SOC drops to within 100%;
3)当负载需求增大或锂电池未完全充电时,混合系统以MPPT模式运行,该模式确保光伏板产生最大功率;若总功率不能满足负载需求,则电池储能系统BES将进行放电满足负载功率需求;3) When the load demand increases or the lithium battery is not fully charged, the hybrid system operates in MPPT mode, which ensures that the photovoltaic panels generate maximum power; if the total power cannot meet the load demand, the battery energy storage system BES will discharge to meet the load. power requirements;
4)任何时刻,只有一种调节模式处于激活状态,且只有一个控制目标;控制算法根据操作参数从一种模式切换到另一种模式。4) At any time, only one regulation mode is active, and there is only one control target; the control algorithm switches from one mode to another according to the operating parameters.
实验结果1:Experimental result 1:
本发明将基于物理性能的锂离子单粒子模型和新型能量控制策略应用于发电厂,以在独立光伏系统运行期间获得有关BES的更准确信息。图4为单体锂电池电压值和SOC值的估计结果,利用发电厂全年数据,并假设单体锂电池在电池组结构中充放电均衡。结果表明,基于单粒子锂电池模型的估计值符合实测数据:The present invention applies a physical-property-based lithium-ion single-particle model and a novel energy control strategy to power plants to obtain more accurate information about BES during stand-alone photovoltaic system operation. Figure 4 shows the estimation results of the voltage value and SOC value of the single lithium battery, using the annual data of the power plant, and assuming that the single lithium battery is balanced in charge and discharge in the battery pack structure. The results show that the estimated value based on the single-particle lithium battery model is in line with the measured data:
(1)第180-250天(6月至8月),锂电池SOC值在90%和100%之间。该时间段光伏板发电和负载需求较低,锂电池保持高SOC值以防止深度放电。(1) On the 180th to 250th day (June to August), the SOC value of the lithium battery is between 90% and 100%. During this time period, the photovoltaic panel power generation and load requirements are low, and the lithium battery maintains a high SOC value to prevent deep discharge.
(2)第200天到第250天(7月到8月),夏季光照较大,光伏板发电量较高。(2) From the 200th day to the 250th day (July to August), the sunlight is larger in summer, and the power generation of photovoltaic panels is higher.
(3)锂电池较大放电过程发生在第100-150天(4月和5月),这与高冷却负荷有关。(3) The larger discharge process of lithium batteries occurs in the 100th-150th day (April and May), which is related to the high cooling load.
(4)第250-300天(9月和10月),该时间段负载用电较多,锂电池SOC值迅速降低。(4) From the 250th to the 300th day (September and October), the load consumes more electricity during this period, and the SOC value of the lithium battery decreases rapidly.
实验结果2:Experimental result 2:
锂电池SOC值限制模式下的光伏板产生功率如图5所示,负载功率如图6所示,电池SOC值如图7所示,选取三天的非典型实验数据(261-263),结果表明:Figure 5 shows the power generated by the photovoltaic panel in the lithium battery SOC limit mode, the load power is shown in Figure 6, and the battery SOC value is shown in Figure 7. Three days of atypical experimental data (261-263) are selected. The results show:
(1)当锂电池电流为正时,电池储能系统充电,超过负荷需求所产生的剩余光伏能量(溢出能量),由于存储系统大小的限制而无法使用。当锂电池充满电时,控制策略防止任何能量溢出。(1) When the lithium battery current is positive, the battery energy storage system is charged, and the remaining photovoltaic energy (overflow energy) generated by the excess load demand cannot be used due to the limitation of the size of the storage system. The control strategy prevents any energy spillage when the lithium battery is fully charged.
(2)当太阳辐射较高或负载值较低时,锂电池SOC值超过安全极限,则控制策略在SOC限制模式下调节SOC值。(2) When the solar radiation is high or the load value is low, the SOC value of the lithium battery exceeds the safety limit, and the control strategy adjusts the SOC value in the SOC limit mode.
(3)当电池组充满电时(SOC=100%),锂电池电流为零。在SOC限制模式下,光伏板产生的功率仅满足负载需求,此时溢出能量为零。(3) When the battery pack is fully charged (SOC=100%), the current of the lithium battery is zero. In the SOC limit mode, the power generated by the photovoltaic panel only meets the load demand, and the overflow energy is zero at this time.
(4)本文提出的能量控制策略保证光伏阵列的最大功率点运行模型,并保证了电池在不同运行条件下的安全运行。(4) The energy control strategy proposed in this paper ensures the maximum power point operation model of the photovoltaic array, and ensures the safe operation of the battery under different operating conditions.
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