CN105186590A - Active lithium battery balance control device - Google Patents
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- WHXSMMKQMYFTQS-UHFFFAOYSA-N Lithium Chemical compound [Li] WHXSMMKQMYFTQS-UHFFFAOYSA-N 0.000 title claims abstract description 50
- 229910052744 lithium Inorganic materials 0.000 title claims abstract description 50
- 238000001514 detection method Methods 0.000 claims abstract description 11
- 238000012545 processing Methods 0.000 claims description 13
- 230000006641 stabilisation Effects 0.000 claims description 13
- 238000011105 stabilization Methods 0.000 claims description 13
- 238000002955 isolation Methods 0.000 claims description 11
- 238000004146 energy storage Methods 0.000 claims description 10
- 238000000034 method Methods 0.000 description 16
- 239000011159 matrix material Substances 0.000 description 4
- 230000010287 polarization Effects 0.000 description 4
- 238000010586 diagram Methods 0.000 description 3
- 230000006870 function Effects 0.000 description 3
- 238000005070 sampling Methods 0.000 description 3
- 238000012546 transfer Methods 0.000 description 3
- HBBGRARXTFLTSG-UHFFFAOYSA-N Lithium ion Chemical compound [Li+] HBBGRARXTFLTSG-UHFFFAOYSA-N 0.000 description 2
- 230000005540 biological transmission Effects 0.000 description 2
- OJIJEKBXJYRIBZ-UHFFFAOYSA-N cadmium nickel Chemical compound [Ni].[Cd] OJIJEKBXJYRIBZ-UHFFFAOYSA-N 0.000 description 2
- 238000004422 calculation algorithm Methods 0.000 description 2
- 239000003990 capacitor Substances 0.000 description 2
- 238000007599 discharging Methods 0.000 description 2
- 229910001416 lithium ion Inorganic materials 0.000 description 2
- 238000005259 measurement Methods 0.000 description 2
- 230000002441 reversible effect Effects 0.000 description 2
- 238000012549 training Methods 0.000 description 2
- 230000009466 transformation Effects 0.000 description 2
- 238000009825 accumulation Methods 0.000 description 1
- 238000013528 artificial neural network Methods 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000002457 bidirectional effect Effects 0.000 description 1
- 238000004364 calculation method Methods 0.000 description 1
- 238000006243 chemical reaction Methods 0.000 description 1
- 238000009795 derivation Methods 0.000 description 1
- 238000011161 development Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 238000003487 electrochemical reaction Methods 0.000 description 1
- 238000004134 energy conservation Methods 0.000 description 1
- 238000005265 energy consumption Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 230000007613 environmental effect Effects 0.000 description 1
- 238000002474 experimental method Methods 0.000 description 1
- 229910052739 hydrogen Inorganic materials 0.000 description 1
- 239000001257 hydrogen Substances 0.000 description 1
- 230000010354 integration Effects 0.000 description 1
- GELKBWJHTRAYNV-UHFFFAOYSA-K lithium iron phosphate Chemical compound [Li+].[Fe+2].[O-]P([O-])([O-])=O GELKBWJHTRAYNV-UHFFFAOYSA-K 0.000 description 1
- 230000003446 memory effect Effects 0.000 description 1
- 230000021715 photosynthesis, light harvesting Effects 0.000 description 1
- 238000010248 power generation Methods 0.000 description 1
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- 230000003068 static effect Effects 0.000 description 1
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- 230000001360 synchronised effect Effects 0.000 description 1
- 238000010998 test method Methods 0.000 description 1
- 238000012360 testing method Methods 0.000 description 1
- 230000001052 transient effect Effects 0.000 description 1
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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Abstract
本发明公开了锂电池主动均衡控制装置,涉及锂电池技术领域;包括DC/DC电源模块和主控单元,所述DC/DC电源模块与所述主控单元连接;其特征在于:所述主控单元分别与锂电池主动均衡模块,电压检测模块,电流检测模块和显示模块连接。本发明可以解决现有的锂电池均衡方案存在的不易于模块化、器件较多并且对SOC估算不精确的问题。
The invention discloses an active balancing control device for a lithium battery, which relates to the technical field of lithium batteries; it includes a DC/DC power supply module and a main control unit, and the DC/DC power supply module is connected to the main control unit; it is characterized in that: the main control unit The control unit is respectively connected with the lithium battery active balancing module, the voltage detection module, the current detection module and the display module. The invention can solve the problems existing in the existing lithium battery equalization scheme that it is not easy to be modularized, there are many components and the estimation of SOC is inaccurate.
Description
技术领域 technical field
本发明涉及锂电池技术领域;尤其是一种基于SOC的锂电池均衡的锂电池主动均衡控制装置。 The invention relates to the technical field of lithium batteries; in particular, an active balancing control device for lithium batteries based on SOC balancing of lithium batteries.
背景技术 Background technique
随着锂电池技术的发展和节能环保的受到各方面越来越多的重视,锂电池的应用领域越来越广阔,如便携式电子产品、电动汽车以及太阳能发电系统等新能源领域。锂离子电池是至今能量比最高的蓄电池,其比重量达130小时瓦每公斤,单体电池放电电压3.6伏,均比镉镍电池高三倍。除此之外,锂离子电池有热效应小,无记忆效应,充电效率比镉镍和氢镍电池高。但是,由于其放电电压不高,在很多应用场合需要多组电池串联使用,以达到足够的输出电压和输出功率。由于电池组中各个单体电池之间存在不一致,经过连续的充放电循环后,各个单体电池的荷电状态会出现严重的不平衡,表现为单体电池之间的电压发散越来越大,这将会对电池造成永久性的损坏。 With the development of lithium battery technology and more and more attention paid to energy conservation and environmental protection, the application fields of lithium batteries are becoming wider and wider, such as portable electronic products, electric vehicles and solar power generation systems and other new energy fields. Lithium-ion battery is the battery with the highest energy ratio so far. Its specific weight reaches 130 hours per kilogram, and the discharge voltage of a single battery is 3.6 volts, which is three times higher than that of nickel-cadmium batteries. In addition, lithium-ion batteries have small thermal effects, no memory effects, and higher charging efficiency than nickel-cadmium and nickel-hydrogen batteries. However, because its discharge voltage is not high, many sets of batteries need to be used in series in many applications to achieve sufficient output voltage and output power. Due to the inconsistency between the individual cells in the battery pack, after continuous charge and discharge cycles, the state of charge of each individual cell will be seriously unbalanced, which is manifested by the increasing voltage divergence between the individual cells. , which will cause permanent damage to the battery.
目前,锂电池均衡电路从均衡过程中电路对能量的消耗情况来看,可分为能量耗散型和能量非耗散型。能量耗散型的缺点是效率低,且无法控制分流的电流。对于能量非耗散型的均衡方案,国内采用较多的是开关电容法和DC-DC变换器法。开关电容法的缺点是可靠性不强,只能实现电压均衡,无法做到荷电状态均衡,且均衡时间长。而DC-DC变换器方案有多种拓扑,当前应用较多的方案可分为集中式变压器法和分布式均衡法。集中式变压器法是通过一个多输出的变压器将能量传递到电压最低的电池中。这种结构的均衡法的缺点是不易于模块化。分布式的结构是在每个电池单体两端并联一个均衡电路,属于放电式均衡,即能量过高的电池向整个电池组或者其余某些电池放电,其特点是易于模块化,不足之处在于器件较多。 At present, lithium battery equalization circuits can be divided into energy dissipation type and energy non-dissipation type according to the energy consumption of the circuit during the equalization process. Dissipative types have the disadvantages of low efficiency and the inability to control the shunted current. For energy non-dissipative equalization schemes, the switched capacitor method and the DC-DC converter method are mostly used in China. The disadvantage of the switched capacitor method is that its reliability is not strong, it can only achieve voltage equalization, it cannot achieve state of charge equalization, and the equalization time is long. There are many topologies for the DC-DC converter scheme, and the currently widely used schemes can be divided into centralized transformer method and distributed equalization method. The centralized transformer method transfers energy to the battery with the lowest voltage through a multi-output transformer. The shortcoming of this structure's equalization method is that it is not easy to be modularized. The distributed structure is to connect an equalization circuit in parallel at both ends of each battery cell, which belongs to the discharge type equalization, that is, the battery with too high energy discharges to the entire battery pack or some other batteries. It is characterized by easy modularization and disadvantages Because there are more devices.
电池的荷电状态(英文:StateofCharge,简称SOC)作为电动汽车运行时的重要参数,其准确估算可以为电池管理系统和剩余里程预测提供必要的数据支持,进而有效防止电池过充、过放,延长电池寿命,降低电动汽车的运行成本。但是SOC不是可以直接测量的物理量,电池本身是封闭的电化学反应,电动汽车运行时伴随着电流的剧烈变化呈现很强的非线性导致SOC估算困难。国内外学者对锂电池的SOC估算进行了大量研究提出了多种SOC估算的科学方法。其中放电试验法能够得到较为精确的SOC估算值,但要中断电池正在进行的工作,不能应用于实车;电流积分法虽能够实时估算电池的SOC但其不能自动确定初值,且误差随时间进一步增大,会由于误差的积累导致估算不精确;开路电压法只能在电池电流为零时准确估算,需要电池静置足够长的时间,因而不能实时估算;神经网络法需要大量的训练数据及合适的训练算法,且易受干扰,不适用于电流变化剧烈的工况。 The state of charge of the battery (English: StateofCharge, referred to as SOC) is an important parameter when the electric vehicle is running. Its accurate estimation can provide the necessary data support for the battery management system and the remaining mileage prediction, thereby effectively preventing the battery from overcharging and over-discharging. Extend battery life and reduce operating costs of electric vehicles. However, SOC is not a physical quantity that can be directly measured. The battery itself is a closed electrochemical reaction. When electric vehicles are running, they present strong nonlinearity accompanied by drastic changes in current, which makes it difficult to estimate SOC. Scholars at home and abroad have conducted a lot of research on the SOC estimation of lithium batteries and proposed a variety of scientific methods for SOC estimation. Among them, the discharge test method can obtain a more accurate SOC estimate, but it must interrupt the ongoing work of the battery and cannot be applied to a real vehicle; although the current integration method can estimate the SOC of the battery in real time, it cannot automatically determine the initial value, and the error will increase over time. If it is further increased, the estimation will be inaccurate due to the accumulation of errors; the open circuit voltage method can only be accurately estimated when the battery current is zero, and the battery needs to stand for a long enough time, so it cannot be estimated in real time; the neural network method requires a large amount of training data And suitable training algorithm, and susceptible to interference, not suitable for working conditions with severe current changes.
发明内容 Contents of the invention
本发明的目的是提供一种锂电池主动均衡控制装置,它可以解决现有的锂电池均衡方案存在的不易于模块化、器件较多并且对SOC估算不精确的问题。 The purpose of the present invention is to provide an active balancing control device for lithium batteries, which can solve the problems existing in the existing lithium battery balancing schemes that it is not easy to be modularized, there are many components, and the estimation of SOC is inaccurate.
为了解决上述问题,本发明采用的技术方案是:这种锂电池主动均衡控制装置,包括DC/DC电源模块和主控单元,所述DC/DC电源模块与所述主控单元连接;所述主控单元分别与锂电池主动均衡模块,电压检测模块,电流检测模块和显示模块连接。 In order to solve the above problems, the technical solution adopted by the present invention is: the lithium battery active balance control device includes a DC/DC power supply module and a main control unit, and the DC/DC power supply module is connected to the main control unit; The main control unit is respectively connected with the lithium battery active balancing module, the voltage detection module, the current detection module and the display module.
上述技术方案中,更为具体的方案还可以是:所述锂电池主动均衡模块包括稳压处理电路和隔离DC/DC电路;所述稳压处理电路的输入端接收从串联锂电池组输送过来的电压信号,其第一输出端与所述隔离DC/DC电路的输入端连接,其第二输出端与反相器的第二输入端连接;所述隔离DC/DC电路的输出端与高速光耦隔离电路的第二输入端连接,所述高速光耦隔离电路的输出端与所述反相器的第一输入端连接,所述反相器的输出端与开关电路的输入端连接,所述开关电路的输出端与储能电感电路的输入端连接,所述储能感电路的输出端与所述串联锂电池组连接;高速光耦隔离电路的第一输入端接收主控单元的控制信号。 Among the above technical solutions, a more specific solution may also be: the lithium battery active equalization module includes a voltage stabilization processing circuit and an isolated DC/DC circuit; the input terminal of the voltage stabilization processing circuit receives The voltage signal, its first output terminal is connected to the input terminal of the isolated DC/DC circuit, and its second output terminal is connected to the second input terminal of the inverter; the output terminal of the isolated DC/DC circuit is connected to the high-speed The second input end of the optocoupler isolation circuit is connected, the output end of the high-speed optocoupler isolation circuit is connected to the first input end of the inverter, and the output end of the inverter is connected to the input end of the switch circuit, The output end of the switch circuit is connected to the input end of the energy storage inductance circuit, and the output end of the energy storage inductance circuit is connected to the series lithium battery pack; the first input end of the high-speed optocoupler isolation circuit receives the main control unit control signal.
更进一步:所述主控单元为TMS320F28335数字信号处理器;所述稳压处理电路为12伏稳压处理电路;所述隔离DC/DC电路为12伏转5伏隔离DC/DC电路。 Further: the main control unit is a TMS320F28335 digital signal processor; the voltage stabilization processing circuit is a 12-volt voltage stabilization processing circuit; the isolated DC/DC circuit is a 12-volt to 5-volt isolated DC/DC circuit.
进一步:所述反相器为74HC04反相器。 Further: the inverter is a 74HC04 inverter.
由于采用了上述技术方案,本发明与现有技术相比,具有的有益效果是:由于本发明中设置有锂电池主动均衡模块,在锂电池主动均衡模块中设有升降压储能电路,它做为能量传输的载体,可以将能量由荷电状态高的电池转移至电感,再从电感转移到荷电状态低的电池,以实现能量的流动。 Due to the adoption of the above technical solution, compared with the prior art, the present invention has the following beneficial effects: since the present invention is provided with a lithium battery active equalization module, a buck-boost energy storage circuit is provided in the lithium battery active equalization module, As a carrier of energy transmission, it can transfer energy from a battery with a high state of charge to an inductor, and then from the inductor to a battery with a low state of charge to achieve energy flow.
本发明采用无迹卡尔曼滤波(UncentedKalmanFilter,UKF)应用到锂电池SOC估算中,使估算达到更高的精度。 The present invention applies Uncented Kalman Filter (UKF) to lithium battery SOC estimation, so that the estimation can achieve higher accuracy.
附图说明 Description of drawings
图1是本发明的方框示意图。 Figure 1 is a schematic block diagram of the present invention.
图2是锂电池主动均衡模块的方框示意图。 Fig. 2 is a schematic block diagram of a lithium battery active balancing module.
图3是Thevenin模型图。 Figure 3 is a Thevenin model diagram.
具体实施方式 Detailed ways
下面结合附图和实施例对本发明作进一步详述: Below in conjunction with accompanying drawing and embodiment the present invention is described in further detail:
图1和图2所示的锂电池主动均衡控制装置,包括DC/DC电源模块1和主控单元2,DC/DC电源模块1与主控单元2连接;主控单元2分别与锂电池主动均衡模块3,电压检测模块5,电流检测模块6和显示模块4连接。 The lithium battery active balancing control device shown in Figure 1 and Figure 2 includes a DC/DC power supply module 1 and a main control unit 2, and the DC/DC power supply module 1 is connected to the main control unit 2; the main control unit 2 is respectively connected to the lithium battery active The balance module 3, the voltage detection module 5, the current detection module 6 and the display module 4 are connected.
其中,锂电池的电压和电流的检测由主控单元2控制电压检测模块5和电流检测模块6进行;无迹卡尔曼滤波(UncentedKalmanFilter,简称UKF)算法的运算由主控单元2完成;主动均衡的控制由主控单元2控制锂电池主动均衡模块3完成;电池组平均荷电状态(荷电状态,简称SOC)和电池组单体电池压差最大值通过显示模块4显示。 Among them, the detection of the voltage and current of the lithium battery is carried out by the main control unit 2 controlling the voltage detection module 5 and the current detection module 6; the operation of the Uncented Kalman Filter (UKF for short) algorithm is completed by the main control unit 2; The control of the lithium battery is completed by the main control unit 2 controlling the active balancing module 3 of the lithium battery;
锂电池主动均衡模块3包括稳压处理电路3-1和隔离DC/DC电路3-2;稳压处理电路3-1的输入端接收从串联锂电池组输送过来的电压信号,其第一输出端与隔离DC/DC电路3-2的输入端连接,其第二输出端与反相器3-4的第二输入端连接;隔离DC/DC电路3-2的输出端与高速光耦隔离电路3-3的第二输入端连接,高速光耦隔离电路3-3的输出端与反相器3-4的第一输入端连接,反相器3-4的输出端与开关电路3-5的输入端连接,开关电路3-5的输出端与储能电感电路3-6的输入端连接,储能电感电路3-6的输出端与串联锂电池组连接;高速光耦隔离电路3-3的第一输入端接收主控单元2的控制信号。 The lithium battery active equalization module 3 includes a voltage stabilization processing circuit 3-1 and an isolated DC/DC circuit 3-2; the input terminal of the voltage stabilization processing circuit 3-1 receives the voltage signal transmitted from the series lithium battery pack, and its first output end is connected with the input end of the isolated DC/DC circuit 3-2, and its second output end is connected with the second input end of the inverter 3-4; the output end of the isolated DC/DC circuit 3-2 is isolated from the high-speed optocoupler The second input terminal of the circuit 3-3 is connected, the output terminal of the high-speed optocoupler isolation circuit 3-3 is connected with the first input terminal of the inverter 3-4, and the output terminal of the inverter 3-4 is connected with the switch circuit 3-4. The input terminal of 5 is connected, the output terminal of the switch circuit 3-5 is connected with the input terminal of the energy storage inductance circuit 3-6, and the output terminal of the energy storage inductance circuit 3-6 is connected with the lithium battery pack in series; the high-speed optocoupler isolation circuit 3 The first input end of -3 receives the control signal of the main control unit 2 .
本实施例中,主控单元2为TMS320F28335数字信号处理器;稳压处理电路3-1为12伏稳压处理电路;隔离DC/DC电路3-2为12伏转5伏隔离DC/DC电路;反相器3-4为74HC04反相器。 In this embodiment, the main control unit 2 is a TMS320F28335 digital signal processor; the voltage stabilization processing circuit 3-1 is a 12-volt voltage stabilization processing circuit; the isolated DC/DC circuit 3-2 is a 12-volt to 5-volt isolated DC/DC circuit ; Inverter 3-4 is a 74HC04 inverter.
12V稳压处理电路3-1是将串联锂电池组的端电压进行稳压,以给74HC04反相器3-4提供电源;12V转5V隔离DC/DC电路3-2是利用12V稳压处理电路3-1输出的电压进行转换,提供隔离的输出电压,以给高速光耦隔离电路3-3提供电源,并为开关电路3-5里面的MOSFET的S端提供基准电位;高速光耦隔离电路3-3将主控单元2输出的PWM的占空比进行隔离输出,为MOSFET提供驱动电压,同时起到隔离保护主控单元2的作用;74HC04反相器3-4的作用是:由于高速光耦隔离电路3-3的输出和主控单元2的PWM占空比的输出是反向的,经过74HC04反相器4可以得到正向的输出,使得主控单元2的PWM占空比和MOSFET的开启是同步的;开关电路3-5是由MOSFET和二极管构成,通过控制MOSFET的开关即可控制电流的流动方向和大小,其中二极管是起到反向截止的作用,避免能量逆流;储能感电路3-6的作用是:储能感电路3-6做为能量传输的载体,将能量由荷电状态高的电池转移至电感,再从电感转移到荷电状态低的电池,以实现能量的流动,储能电感串联了瞬态双向抑制二极管,以避免瞬间脉冲对电路造成的冲击。 The 12V voltage stabilization processing circuit 3-1 is to stabilize the terminal voltage of the lithium battery pack in series to provide power for the 74HC04 inverter 3-4; the 12V to 5V isolated DC/DC circuit 3-2 is to use 12V voltage stabilization processing The voltage output by the circuit 3-1 is converted to provide an isolated output voltage to provide power to the high-speed optocoupler isolation circuit 3-3, and to provide a reference potential for the S terminal of the MOSFET in the switch circuit 3-5; the high-speed optocoupler isolation Circuit 3-3 isolates and outputs the duty cycle of PWM output by main control unit 2, provides driving voltage for MOSFET, and plays the role of isolating and protecting main control unit 2 at the same time; the function of 74HC04 inverter 3-4 is: because The output of the high-speed optocoupler isolation circuit 3-3 and the output of the PWM duty cycle of the main control unit 2 are reversed, and the positive output can be obtained through the 74HC04 inverter 4, so that the PWM duty cycle of the main control unit 2 It is synchronous with the opening of the MOSFET; the switching circuit 3-5 is composed of MOSFET and diode, and the flow direction and magnitude of the current can be controlled by controlling the switch of the MOSFET, wherein the diode acts as a reverse cut-off to avoid energy reverse flow; The function of the energy storage sensing circuit 3-6 is: the energy storage sensing circuit 3-6 is used as a carrier for energy transmission, transferring energy from a battery with a high state of charge to an inductor, and then from the inductor to a battery with a low state of charge. In order to realize the flow of energy, the energy storage inductor is connected in series with the transient bidirectional suppression diode to avoid the impact of the instantaneous pulse on the circuit.
本发明适用于串联锂电池组的均衡控制,将本发明接入串联锂电池组,即可对串联锂电池组中各节电池的电压、电流进行采集,并实时估算出各节电池的SOC,以SOC为判断依据,进行能量转移式主动均衡,当串联锂电池组中某节电池单体SOC与串联锂电池组平均SOC的差值达到2%时启动均衡系统,将串联锂电池组中SOC高的电池的能量转移到SOC低的电池,直至串联锂电池组中各节电池的SOC差值均在2%以内,串联锂电池组平均SOC和串联锂电池组单体电池电压差最大值通过显示模块4显示。 The present invention is applicable to the balanced control of series lithium battery packs. When the present invention is connected to series lithium battery packs, the voltage and current of each battery in the series series lithium battery packs can be collected, and the SOC of each battery pack can be estimated in real time. Based on the SOC, the energy transfer active equalization is carried out. When the difference between the SOC of a battery cell in the series lithium battery pack and the average SOC of the series lithium battery pack reaches 2%, the equalization system is started, and the SOC in the series lithium battery pack The energy of the high battery is transferred to the battery with low SOC, until the SOC difference of each battery in the series lithium battery pack is within 2%, the average SOC of the series lithium battery pack and the maximum voltage difference of the single cells of the series lithium battery pack pass The display module 4 displays.
电池模型的准确性是电池SOC估算的前提。Thevenin模型是最有代表性的等效电路模型,它考虑了电池内部化学反应中的极化现象,能较好的体现电池动静态特性;同时考虑了内阻受温度、电流和充放电状态的影响,能够较精确的模拟电池充放电行为,而且结构较简单,更适用于动力电池的建模与仿真。模型如图3所示。 The accuracy of the battery model is a prerequisite for battery SOC estimation. Thevenin model is the most representative equivalent circuit model, which considers the polarization phenomenon in the internal chemical reaction of the battery, and can better reflect the dynamic and static characteristics of the battery; at the same time, it considers the internal resistance affected by temperature, current and charge and discharge state. It can accurately simulate the charging and discharging behavior of the battery, and the structure is relatively simple, which is more suitable for the modeling and simulation of power batteries. The model is shown in Figure 3.
在图3中Uoc中为开路电压;是电池的欧姆内阻;和分别是极化内阻和极化电容,U是电池的端电压。 Uoc in Figure 3 is the open circuit voltage; is the ohmic internal resistance of the battery; and are the polarization internal resistance and polarization capacitance respectively, and U is the terminal voltage of the battery.
将SOC和上的电压作为系统的状态变量,以电池工作电流为系统输入,电池工作电压为系统输出,建立离散状态空间模型。 will SOC and voltage on As the state variable of the system, the battery operating current For system input, battery operating voltage For the system output, a discrete state-space model is built.
该模型的状态方程为: The state equation of the model is:
(1) (1)
式中,T为采样周期,为采样点k处的SOC值,为采样点处的上的电压估算值,为时间常数,为电池额定容量,为放电效率,为高斯白噪声。 In the formula, T is the sampling period, is the SOC value at sampling point k, is the sampling point of The voltage estimate on the, is the time constant, is the rated capacity of the battery, is the discharge efficiency, is Gaussian white noise.
输出观测方程为: The output observation equation is:
(2) (2)
式中,开路电压Uoc与SOC存在一一对应关系,用表示该关系,该关系可以通过实验获得,为高斯白噪声,r0为电池的欧姆内阻。 In the formula, there is a one-to-one correspondence between the open circuit voltage Uoc and the SOC, using represents the relationship, which can be obtained experimentally, is Gaussian white noise, and r0 is the ohmic internal resistance of the battery.
实验选用单体磷酸铁锂电池,通过HPPC试验,对锂电池进行短时恒流脉冲放电,记录电池端电压的恢复过程,根据此曲线来确定与,并通过记录时间来确定电路的时间常数,最终确定电容的数值。利用非线性最小二乘可得到Thevenin电路模型的参数值如表1所示。 The experiment selects a single lithium iron phosphate battery. Through the HPPC test, the lithium battery is discharged with a short-term constant current pulse, and the recovery process of the battery terminal voltage is recorded. According to this curve, it is determined and , and determine the time constant of the circuit by recording the time, and finally determine the value of the capacitance. The parameter values of Thevenin circuit model can be obtained by using nonlinear least squares, as shown in Table 1.
表1RC参数表
UKF以无迹变换(UnscentedTransform,UT)为基础,通过UT的方式实现对状态分布的逼近,这种方法避免了对非线性函数进行解析求导,同时考虑了概率传播问题,对均值和方差的逼近精确度提高到至少二阶,提高了SOC估算的精度。结合电池模型(1)(2),将UKF应用于SOC估算流程如下: Based on the Unscented Transform (UT), UKF realizes the approximation of the state distribution through UT. This method avoids the analytical derivation of nonlinear functions, and considers the problem of probability propagation. The approximation accuracy is improved to at least second order, improving the accuracy of SOC estimation. Combined with the battery model (1) (2), the UKF is applied to the SOC estimation process as follows:
(1)系统初始化 (1) System initialization
滤波初值:(3) Filter initial value: (3)
其中,为SOC初值和极化电压初值构成的矩阵,为状态协方差初值。 in, is the matrix formed by the initial value of SOC and the initial value of polarization voltage, is the initial value of the state covariance.
(2)产生sigma点 (2) Generate sigma points
(4) (4)
(5) (5)
(6) (6)
(7) (7)
其中,是一个较小的正数,通常取=1;n为系统状态变量个数,针对单体电池,,是一比例系数,为对应的sigma点的状态变量。 in, is a small positive number, usually taken as =1; n is the number of system state variables, for a single battery, , is a proportionality coefficient, is the state variable of the corresponding sigma point.
(3)确定加权系数 (3) Determine the weighting coefficient
(8) (8)
,(9) ,(9)
(10) (10)
其中,是二阶比例系数,通常取=1;用来合并先验信息,对于高斯白噪声系统,取=2,是对应的sigma点的加权系数。 in, is the second-order proportionality coefficient, usually taken as =1; Used to combine prior information, for a Gaussian white noise system, take =2, is the weighting coefficient of the corresponding sigma point.
(4)时间更新(UT) (4) Time update (UT)
(11) (11)
(12) (12)
(13) (13)
其中是矩阵平方根的第i列,为权重,为过程噪声方差,为无迹变换得到的状态更新值,为无迹变换得到的状态协方差更新值。 in is the ith column of the square root of the matrix, is the weight, is the process noise variance, is the state update value obtained by unscented transformation, The state covariance update value obtained for the unscented transformation.
(5)测量更新 (5) Measurement update
(14) (14)
(15) (15)
(16) (16)
(17) (17)
(18) (18)
其中为测量得到的系统输出,,为状态协方差,为系统输出矩阵,为测量噪声方差,为测量更新后的状态协方差。 in is the measured system output, , is the state covariance, is the system output matrix, For the measurement noise variance, is the updated state covariance of the measure.
UKF通过产生Sigma点,对Sigma点进行UT,采用非线性的状态方程和观测方程,避免线性误差,提高估算精度,而且避免计算矩阵的偏导数,减少了计算量。 UKF generates Sigma points, performs UT on Sigma points, uses nonlinear state equations and observation equations, avoids linear errors, improves estimation accuracy, and avoids calculating partial derivatives of the matrix, reducing the amount of calculation.
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