TWI496338B - Method of charging and discharging for second life battery with reuse - Google Patents

Method of charging and discharging for second life battery with reuse Download PDF

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TWI496338B
TWI496338B TW102126285A TW102126285A TWI496338B TW I496338 B TWI496338 B TW I496338B TW 102126285 A TW102126285 A TW 102126285A TW 102126285 A TW102126285 A TW 102126285A TW I496338 B TWI496338 B TW I496338B
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battery pack
equation
discharge
charging
battery
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TW201505233A (en
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Chan Nan Lu
Min Jui Chen
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Univ Nat Sun Yat Sen
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    • YGENERAL 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
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E60/00Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation
    • Y02E60/10Energy storage using batteries

Description

汰換電池組再利用之充放電方法Charge and discharge method for replacing battery pack

本發明係關於一種汰換電池組再利用之充放電方法,尤其是一種估測不同健康狀態之數個汰換電池組之健康狀態變化,以決定該數個汰換電池組之充放電比例的估算方法。The invention relates to a charging and discharging method for replacing battery packs, in particular, a health state change of a plurality of battery packs for estimating different health states to determine a charge and discharge ratio of the plurality of battery packs. Estimation method.

二次電池(Secondary Battery)又被稱作為可充式電池(Rechargeable Battery)。相較於傳統拋棄式電池,該二次電池在電力用罄後不須立即丟棄,並可藉由充電而重複使用,除了可延長使用時間外,更能降低環境衝擊,因此被廣泛的使用於手機、電腦及電動車等各式電器用品中。The secondary battery is also referred to as a rechargeable battery. Compared with the conventional disposable battery, the secondary battery does not need to be discarded immediately after the power is used, and can be repeatedly used by charging. In addition to prolonging the use time, it can reduce environmental impact, and thus is widely used. Mobile phones, computers and electric vehicles and other electrical appliances.

對於該二次電池而言,健康狀態(State of Health,SOH)可代表該二次電池之當前儲電量與初期儲電量的百分比關係,更可作為衡量該二次電池是否適合繼續使用的標準。當該二次電池應用於不同的電器產品時,對於不同電力需求的電器,必須被淘汰之二次電池的健康狀態亦有不同,例如當該二次電池設置於具有高電力需求的電動車時,必須被淘汰之該二次電池的健康狀態的標準可能為80%,然而當該二次電池設置於具有低電力需求的電動車時,必需被淘汰之該二次電池的健康狀態的標準則可降低至70%或60%。For the secondary battery, the state of health (SOH) can represent the percentage relationship between the current storage capacity of the secondary battery and the initial storage capacity, and can be used as a standard for measuring whether the secondary battery is suitable for continued use. When the secondary battery is applied to different electrical products, the health status of the secondary battery that must be eliminated for different electrical power requirements is different, for example, when the secondary battery is installed in an electric vehicle with high power demand. The standard of the health status of the secondary battery that must be eliminated may be 80%. However, when the secondary battery is set in an electric vehicle having a low power demand, the standard of the health status of the secondary battery that must be eliminated is Can be reduced to 70% or 60%.

其中,當該二次電池因不適合第一次應用環境條件而被淘汰時,由於該二次電池還有許多剩餘能源,並可在適合場合中再次作應用。 因此,汰換電池又可稱為第二次生命電池(Second life of battery)。然而,由於各該汰換電池的健康狀態均不盡相同,因此各該汰換電池的循環壽命(Cycle Life,CL)也不同,當同時組合該數個汰換電池以進行電力的再利用時,若未對不同健康狀態之汰換電池規劃相對應的充放電比例,可能造成某些汰換電池的循環壽命提早耗盡而完全無法使用,致使所組合之該數個汰換電池的循環壽命無法同時耗盡,進而降低電力再利用之效率。Wherein, when the secondary battery is eliminated due to unsuitability for the first application environment condition, since the secondary battery has a lot of remaining energy, it can be applied again in a suitable occasion. Therefore, the replacement battery can also be called a second life battery (Second life of battery). However, since the health status of each of the replacement batteries is different, the cycle life (Cycle Life, CL) of each of the replacement batteries is also different, and when the plurality of replacement batteries are simultaneously combined for power reuse. If the corresponding charge-discharge ratio of different battery states is not replaced, it may cause the cycle life of some replacement batteries to be exhausted early and completely unusable, resulting in the cycle life of the combined replacement batteries. Can not be exhausted at the same time, thereby reducing the efficiency of power reuse.

本發明之主要目的係提供一種汰換電池組再利用之充放電方法,該方法針對不同健康狀態之電池規劃相對應的充放電比例,以提升電力再使用的效率。The main object of the present invention is to provide a charging and discharging method for replacing battery packs, which is to plan a corresponding charging and discharging ratio for batteries of different health states to improve the efficiency of power reuse.

為達到前述發明目的,本發明係提供一種汰換電池組再利用之充放電方法,係包含:一量測步驟,係以一量測模組量測數個電池之一健康狀態;一分群步驟,係以一分群模組在一健康狀態範圍中分成數個區間,並依據各該電池之該健康狀態,將各該電池分群至相對應的區間,以形成數個電池組;一放電估算步驟,係以一處理器執行一放電估算方程式,並根據各該電池組之一輸出電量及一放電深度,估算各該電池組之一最小健康狀態差異量,再根據該最小健康狀態差異量,估算各該電池組之一放電比例;及一充電估算步驟,係以該處理器執行一充電估算方程式,並根據各該電池組之該放電比例及一輸入電量,估算各該電池組之一最大剩餘電量,再根據該最大剩餘電量,估算各該電池組之一充電比例。In order to achieve the foregoing object, the present invention provides a charging and discharging method for replacing a battery pack, which comprises: a measuring step of measuring a health state of one of the plurality of batteries by using a measuring module; a group module is divided into a plurality of intervals in a healthy state range, and each battery is grouped into corresponding intervals according to the health state of each battery to form a plurality of battery packs; a discharge estimating step Performing a discharge estimation equation by a processor, and estimating a minimum health state difference of each of the battery packs according to the output power and a discharge depth of each of the battery packs, and then estimating according to the minimum health state difference amount. a discharge ratio of each of the battery packs; and a charge estimation step, wherein the processor performs a charge estimation equation, and estimates a maximum remaining of each of the battery packs according to the discharge ratio of each of the battery packs and an input power amount The amount of electricity is then estimated based on the maximum remaining amount of electricity.

本發明之汰換電池組再利用之充放電方法,其中該放電估算方程式包含一放電方程式、一放電深度方程式、一循環壽命方程式、一健康狀態方程式及一最小差異量方程式;該放電方程式係用以估算具有一預定電量之各該電池組,在經過一單位時間輸出該輸出電量後,各該電池組之剩餘電量;該放電深度方程式係用以估算各該電池組的輸出電量與當前 之最大儲電量的百分比,以作為各該電池組之該放電深度;該循環壽命方程式係根據各該電池組之該放電深度及該健康狀態,估算各該電池組之一循環壽命;該健康狀態方程式係根據各該電池組之該放電深度及該循環壽命,更新各該電池組之該健康狀態;該最小差異量方程式係估算各該電池組在不同放電比例之一健康狀態差異量,並以該健康狀態差異量的最小值作為該最小健康狀態差異量。The charging and discharging method for replacing the battery pack of the present invention, wherein the discharge estimating equation comprises a discharge equation, a discharge depth equation, a cycle life equation, a healthy state equation and a minimum difference equation; the discharge equation is used To estimate the remaining power of each battery pack after outputting the output power for each battery pack having a predetermined amount of power; the discharge depth equation is used to estimate the output power of each battery pack and the current a percentage of the maximum amount of stored electricity as the depth of discharge of each of the battery packs; the cycle life equation estimates a cycle life of each of the battery packs according to the depth of discharge of the battery pack and the state of health; The equation updates the health state of each of the battery packs according to the depth of discharge of the battery pack and the cycle life; the minimum difference amount equation estimates the amount of health state difference of each of the battery packs at different discharge ratios, and The minimum value of the health state difference amount is taken as the minimum health state difference amount.

本發明之汰換電池組再利用之充放電方法,其中該充電估算方程式包含一充電方程式及一最大差異量方程式;該充電方程式係用以估算具有一預定電量之各該電池組,在經過一單位時間輸入該輸入電量後,各該電池組之剩餘電量;該最大差異量方程式係估算各該電池組在不同充電比例之該剩餘電量,並以該剩餘電量的最大值作為該最大剩餘電量。The charging and discharging method for replacing the battery pack of the present invention, wherein the charging estimating equation comprises a charging equation and a maximum difference amount equation; the charging equation is for estimating each battery pack having a predetermined amount of power, after passing through a battery pack After inputting the input electric quantity per unit time, the remaining electric quantity of each of the battery packs; the maximum difference quantity equation is to estimate the remaining electric quantity of each of the battery packs at different charging ratios, and the maximum value of the remaining electric quantity is taken as the maximum remaining electric quantity.

本發明之汰換電池組再利用之充放電方法,其中該放電方程式如下所示:Q B ,i t =Q B ,i t -1 -I Bd ,i t t use The charging and discharging method for replacing the battery pack of the present invention, wherein the discharge equation is as follows: Q B , i t = Q B , i t -1 - I Bd , i t . t use

其中,Q B,i t 代表第i個電池組在t時刻之剩餘電量;Q B,i t-1 代表第i個電池組在t-1時刻之剩餘電量;I Bd,i t 代表第i個電池組在t時刻之輸出電流;t use 代表由t-1時刻至t時刻所形成之該單位時間。。Where Q B, i t represents the remaining power of the i-th battery pack at time t; Q B, i t-1 represents the remaining power of the i-th battery pack at time t-1; I Bd, i t represents the i-th The output current of the battery pack at time t; t use represents the unit time formed by time t-1 to time t. .

本發明之汰換電池組再利用之充放電方法,其中該放電深度方程式如下所示: The charging and discharging method for replacing the battery pack of the present invention, wherein the discharge depth equation is as follows:

其中,DOD i k 代表第i個電池組模擬充電與放電k次後之放電深度;Q B,i t 代表第i個電池組在t時刻之剩餘電量;Q SOH,i 代表第i個電池組當前最大儲電量。Wherein, DOD i k represents the discharge depth after the i-th battery pack simulates charging and discharging k times; Q B, i t represents the remaining power of the i-th battery pack at time t; Q SOH, i represents the ith battery pack The current maximum storage capacity.

本發明之汰換電池組再利用之充放電方法,其中該循環壽命 方程式如下所示:CL i k =(a 1 +b 1DOD i +c 1SOH i k -1 +d 1DOD i 2 +e 1DOD i SOH i k -1 +f 1DOD i 3 +g 1DOD i 2SOH i k -1 +h 1DOD i 4 +i 1DOD i 3SOH i k -1 )-1The charging and discharging method for replacing the battery pack of the present invention, wherein the cycle life equation is as follows: CL i k = ( a 1 + b 1 . DOD i + c 1 . SOH i k -1 + d 1 . DOD i 2 + e 1 . DOD i . SOH i k -1 + f 1 . DOD i 3 + g 1 . DOD i 2 . SOH i k -1 + h 1 . DOD i 4 + i 1 . DOD i 3 . SOH i k -1 )-1

其中,Cl i k 代表第i個電池組模擬充電與放電k次後之循環壽命;SOH i k-1 代表第i個電池組模擬充電與放電k-1次後之健康狀態;DOD i 代表第i個電池組之放電深度;a1 ~i1 代表數個第一計算係數,且a1 =-1.149×104 ;b1 =142.5;c1 =190.7;d1 =-0.4155;e1 =-2.224;f1 =0.002076;g1 =0.001385;h1 =-1.994×10-5 ;i1 =3.961×10-5Wherein, Cl i k represents the cycle life after the i-th battery pack simulates charging and discharging k times; SOH i k-1 represents the health state after the i-th battery pack simulates charging and discharging k-1 times; DOD i represents the first The discharge depth of i battery packs; a 1 ~i 1 represents several first calculation coefficients, and a 1 =-1.149×10 4 ; b 1 =142.5; c 1 =190.7;d 1 =-0.4155;e 1 = -2.224; f 1 = 0.002076; g 1 = 0.001385; h 1 = - 1.994 × 10 -5 ; i 1 = 3.961 × 10 -5 .

本發明之汰換電池組再利用之充放電方法,其中該健康狀態方程式如下所示:SOH i k =a 2 +b 2DOD i +c 2CL i k +d 2 .DOD i 2 +e 2DOD i CL i k +f 2DOD i 3 +g 2DOD i 2CL i k +h 2DOD i 4 +i 2DOD i 3CL i k The charging and discharging method for replacing the battery pack of the present invention, wherein the health state equation is as follows: SOH i k = a 2 + b 2 . DOD i + c 2 . CL i k + d 2 . DOD i 2 + e 2 . DOD i . CL i k + f 2 . DOD i 3 + g 2 . DOD i 2 . CL i k + h 2 . DOD i 4 + i 2 . DOD i 3 . CL i k

其中,SOH i k 代表第i個電池組經過k次的充放電後之健康狀態;Cl i k 代表第i個電池組模擬充電與放電k次後之循環壽命;DOD i 代表第i個電池組之放電深度;a2 ~i2 代表數個第二計算係數,且a2 =61.93;b2 =-0.2839;c2 =0.004168;d2 =0.01122;e2 =0.000209;f2 =-0.0001639;g2 =-4.738×10-6 ;h2 =7.885×10-7 ;i2 =6.636×10-8Wherein, SOH i k represents the health state of the i-th battery pack after k times of charge and discharge; Cl i k represents the cycle life after the i-th battery pack simulates charging and discharging k times; DOD i represents the i-th battery pack Depth of discharge; a 2 ~ i 2 represents a number of second calculated coefficients, and a 2 = 61.93; b 2 = -0.2839; c 2 = 0.004168; d 2 = 0.01122; e 2 = 0.000209; f 2 = -0.0001639; g 2 = - 4.738 × 10 -6 ; h 2 = 7.885 × 10 -7 ; i 2 = 6.636 × 10 -8 .

本發明之汰換電池組再利用之充放電方法,其中該最小差異量方程式如下所示: The charging and discharging method for replacing the battery pack of the present invention, wherein the minimum difference amount equation is as follows:

其中,SOH i tf 代表第i個電池組最後的健康狀態,SOH j tf 代表第j個電池組最後的健康狀態。Where SOH i tf represents the last health state of the i-th battery pack, and SOH j tf represents the last health state of the j-th battery pack.

本發明之汰換電池組再利用之充放電方法,其中該充電方程式如下所示:Q B ,i t =Q B ,i t -1 +I Bc ,i t t use The charging and discharging method for replacing the battery pack of the present invention, wherein the charging equation is as follows: Q B , i t = Q B , i t -1 + I Bc , i t . t use

其中,Q B,i t 代表第i個電池組在t時刻之剩餘電量;Q B,i t-1 代表第i個電池組在t-1時刻之剩餘電量;I Bc,i t 代表第i個電池組在t時刻之輸入電流;t use 代表由t-1時刻至t時刻所形成之該單位時間。Where Q B, i t represents the remaining power of the i-th battery pack at time t ; Q B, i t-1 represents the remaining power of the i-th battery pack at time t-1; I Bc, i t represents the i-th The input current of the battery pack at time t; t use represents the unit time formed by time t-1 to time t.

本發明之汰換電池組再利用之充放電方法,其中該最大差異量方程式如下所示: The charging and discharging method for replacing the battery pack of the present invention, wherein the maximum difference amount equation is as follows:

其中,Q B,i t 代表第i個電池組在t時刻之剩餘電量。Where Q B, i t represents the remaining power of the i-th battery pack at time t.

1‧‧‧量測模組1‧‧‧Measurement module

2‧‧‧分群模組2‧‧‧Group Module

3‧‧‧處理器3‧‧‧ Processor

S1‧‧‧量測步驟S1‧‧‧Measurement steps

S2‧‧‧分群步驟S2‧‧‧ grouping steps

S3‧‧‧放電估算步驟S3‧‧‧Discharge estimation procedure

S4‧‧‧充電估算步驟S4‧‧‧Charging estimation procedure

第1圖:本發明之汰換電池組再利用之充放電方法之實施裝置圖。Fig. 1 is a view showing an apparatus for implementing a charge and discharge method for recycling a battery pack of the present invention.

第2圖:本發明之汰換電池組再利用之充放電方法之流程圖。Fig. 2 is a flow chart showing the charging and discharging method for recycling the battery pack of the present invention.

為讓本發明之上述及其他目的、特徵及優點能更明顯易懂,下文特舉本發明之較佳實施例,並配合所附圖式,作詳細說明如下:本發明所述之「健康狀態」,係指一電池當前之最大儲電量與初期儲電量之百分比關係,例如當該電池當前之最大儲電量僅為初期儲電量之85%時,該電池之健康狀態係為85%。The above and other objects, features and advantages of the present invention will become more <RTIgt; It refers to the percentage relationship between the current maximum storage capacity of a battery and the initial storage capacity. For example, when the current maximum storage capacity of the battery is only 85% of the initial storage capacity, the health status of the battery is 85%.

本發明所述之「循環壽命」,係指一電池在特定條件下,經過數次的反覆充放電後,當該最大儲電量下降至初期儲電量之某個百分比時,該反覆的充放電次數即為該循環壽命。The term "cycle life" as used in the present invention refers to the number of times of repeated charge and discharge when a maximum amount of stored electricity drops to a certain percentage of the initial stored amount of electricity after repeated charging and discharging for a battery under certain conditions. That is the cycle life.

本發明所述之「放電深度(Depth of Discharge,DOD)」,係指一電池所放出之電量與最大儲電量的比率,例如當該電池放出的電量為最大儲電量的25%,該電池的放電深度即為25%。The term "Depth of Discharge (DOD)" as used in the present invention refers to the ratio of the amount of electricity discharged by a battery to the maximum amount of stored electricity. For example, when the amount of electricity discharged by the battery is 25% of the maximum amount of stored electricity, the battery is The depth of discharge is 25%.

請參照第1圖所示,其係本發明之汰換電池組再利用之充放電方法之一較佳實施裝置,該裝置包含一量測模組1、一分群模組2及一處理器3。該分群模組2電性連接該量測模組1,該處理器3電性連接該分群模組2。Please refer to FIG. 1 , which is a preferred embodiment of the charging and discharging method for replacing the battery pack of the present invention. The device comprises a measuring module 1 , a grouping module 2 and a processor 3 . . The cluster module 2 is electrically connected to the measurement module 1 , and the processor 3 is electrically connected to the cluster module 2 .

該量測模組1係用以分別量測數個電池之一健康狀態,並可輸出一量測結果。其中,該量測模組1可為習知任何用以進行電池檢測之軟體或硬體。在本發明實施例中,該電池係指不適合前一次應用環境條件而被淘汰之汰換電池。The measuring module 1 is configured to respectively measure the health status of one of the plurality of batteries, and output a measurement result. The measurement module 1 can be any software or hardware used for battery detection. In the embodiment of the present invention, the battery refers to a replacement battery that is not suitable for the previous application environment condition.

該分群模組2電性連接該量測模組1,以接收該量測模組1所輸出之該量測結果,並根據該量測結果所呈現之該健康狀態,對所量測之數個電池進行分群,以形成數個電池組,並輸出一分群結果。其中,該分群模組2可為習知任何用以比較、分類之軟體或硬體。在本發明實施例中,該電池組係指由該數個汰換電池所組成之汰換電池組。The cluster module 2 is electrically connected to the measurement module 1 to receive the measurement result output by the measurement module 1, and according to the health state presented by the measurement result, the measured number is The cells are grouped to form a plurality of battery packs and output a cluster result. The grouping module 2 can be any software or hardware used for comparison and classification. In the embodiment of the present invention, the battery pack refers to a battery pack composed of the plurality of replacement batteries.

更詳言之,該分群模組2係具有一健康狀態範圍,且該健康狀態範圍係分成數個區間,該分群模組2係依據各該電池之該健康狀態,將各該電池分群至相對應的區間,以形成數個電池組,並作為該分群結果。其中,該健康狀態範圍可位於0到100之間,並以一預設刻度作為各該區間的劃分依據,例如當預設刻度為10時,健康狀態範圍在100~91間可視為一第一區間,健康狀態範圍在90~81間可視為一第二區間,當該電池之健康狀態為82%時,係將該電池分群至該第二區間。More specifically, the grouping module 2 has a health status range, and the health status range is divided into a plurality of sections. The grouping module 2 groups the batteries into phases according to the health status of each of the batteries. Corresponding intervals to form a number of battery packs and as a result of the clustering. The health status range may be between 0 and 100, and a predetermined scale is used as a basis for dividing the interval. For example, when the preset scale is 10, the health status range may be regarded as a first between 100 and 91. In the interval, the health status range can be regarded as a second interval between 90 and 81. When the health status of the battery is 82%, the battery is grouped into the second interval.

該處理器3電性連接該分群模組2,以接收該分群模組所輸出之該分群結果,並根據該分群結果執行一放電估算方程式及一充電估算 方程式的運算,以輸出各該電池組所相對應之一充電比例及一放電比例。其中,該處理器3可為一電腦或任何運算處理器,且可執行一運算方程式或一模擬軟體,以進行相關之運算及統計等操作,在本實施例中,該處理器3係為設有一Matlab軟體之電腦。The processor 3 is electrically connected to the grouping module 2 to receive the grouping result output by the grouping module, and performs a discharge estimation equation and a charging estimation according to the grouping result. The operation of the equation is to output a charging ratio and a discharge ratio corresponding to each of the battery packs. The processor 3 can be a computer or any computing processor, and can execute an operation equation or a simulation software to perform related operations and statistics. In this embodiment, the processor 3 is configured. There is a Matlab software computer.

請參照第2圖所示,其係本發明汰換電池組再利用之充放電方法流程圖,係包含:一量測步驟S1、一分群步驟S2、一放電分配步驟S3及一充電分配步驟S4。Please refer to FIG. 2 , which is a flow chart of a charging and discharging method for replacing the battery pack of the present invention, comprising: a measuring step S1, a grouping step S2, a discharging step S3, and a charging and distributing step S4. .

該量測步驟S1,係以該量測模組1量測該數個電池之該健康狀態。In the measuring step S1, the measuring module 1 measures the health state of the plurality of batteries.

更詳言之,當要組合該數個電池以進行供電的運用時,必須先藉由該量測模組1量測各該電池的健康狀態,再將不同健康狀態之電池以相對應的充放電比例進行充電與放電之操作,以提升供電效率。據此,該量測步驟S1可準確的量測各該電池之健康狀態,進而使不同健康狀態之電池可依照相對應的充放電比例進行充電與放電的操作。More specifically, when the plurality of batteries are to be combined for power supply, the health of each of the batteries must be measured by the measurement module 1, and the batteries of different health states are charged accordingly. The discharge ratio is charged and discharged to improve the power supply efficiency. Accordingly, the measuring step S1 can accurately measure the health status of each of the batteries, thereby enabling the batteries of different health states to perform charging and discharging operations according to corresponding charging and discharging ratios.

該分群步驟S2,係以該分群模組2在該健康狀態範圍中分成數個區間,並依據各該電池之該健康狀態,將各該電池分群至相對應的區間,以形成數個電池組。The grouping step S2 is divided into a plurality of sections in the health state range by the grouping module 2, and each battery is grouped into corresponding sections according to the health state of each battery to form a plurality of battery packs. .

更詳言之,當要組合數個電池以進行供電的運用時,在量測得知各該電池之該健康狀態後,必須將具有相近之該健康狀態的電池分群至同一個電池組,屆時再以相對應的充放電比例對各該電池組進行充放電的操作,以提升供電效率。此外,在本實施例中,該數個電池係選擇健康狀態為61%至80%之數的電池,以對健康狀態不符需求之電池進行再利用,且當該預設刻度為5時,該健康狀態範圍可分成80%~76%、75%~71%、70%~66%及65%~61%等四個區間,並可依據該數個電池的健康狀態,將該數個電池分群成四個電池組,並以相對應的充放電比例對各該電池組進行 充放電的操作,以對汰換電池進行再利用。據此,該分群步驟S2可根據健康狀態將數個電池分群成數個電池組,且當所選擇之該數個電池為汰換電池時,可提升該數個電池組再利用的效率。More specifically, when several batteries are to be combined for power supply, after measuring the health status of each battery, batteries having similar health status must be grouped into the same battery pack. Then, each of the battery packs is charged and discharged at a corresponding charge and discharge ratio to improve the power supply efficiency. In addition, in this embodiment, the plurality of batteries selects a battery having a health status of 61% to 80%, and the battery is reused for a battery that does not meet the health condition, and when the preset scale is 5, the The health status range can be divided into four intervals of 80% to 76%, 75% to 71%, 70% to 66%, and 65% to 61%, and the plurality of batteries can be grouped according to the health status of the plurality of batteries. Four battery packs, and each battery pack is operated at a corresponding charge and discharge ratio Charge and discharge operations to reuse the replacement battery. Accordingly, the grouping step S2 can group a plurality of batteries into a plurality of battery packs according to a state of health, and when the selected plurality of batteries are replaced batteries, the efficiency of reuse of the plurality of battery packs can be improved.

該放電估算步驟S3,係以該處理器執行該放電估算方程式,並根據各該電池組之一輸出電量及一放電深度,估算各該電池組之一最小健康狀態差異量,再根據該最小健康狀態差異量,估算各該電池組之該放電比例。The discharge estimating step S3 is performed by the processor, and estimating the minimum health state difference of each of the battery packs according to the output power and the depth of discharge of each of the battery packs, and then according to the minimum health The amount of state difference is used to estimate the discharge ratio of each of the battery packs.

在本發明較佳實施例中,該放電估算方程式包含一放電方程式、一放電深度方程式、一循環壽命方程式、一健康狀態方程式及一最小差異量方程式。該放電方程式係用以估算具有一預定電量之各該電池組,在經過一單位時間輸出該輸出電量後,各該電池組之剩餘電量。該放電方程式如下所示:Q B ,i t =Q B ,i t -1 -I Bd ,i t t use (1)In a preferred embodiment of the present invention, the discharge estimation equation includes a discharge equation, a discharge depth equation, a cycle life equation, a health state equation, and a minimum difference equation. The discharge equation is used to estimate the remaining power of each battery pack after outputting the output power for each battery pack having a predetermined amount of power. The discharge equation is as follows: Q B , i t = Q B , i t -1 - I Bd , i t . t use (1)

其中,Q B,i t 代表第i個電池組在t時刻之剩餘電量;Q B,i t-1 代表第i個電池組在t-1時刻之剩餘電量;I Bd,i t 代表第i個電池組在t時刻之輸出電流;t use 代表由t-1時刻至t時刻所形成之該單位時間。Where Q B, i t represents the remaining power of the i-th battery pack at time t; Q B, i t-1 represents the remaining power of the i-th battery pack at time t-1; I Bd, i t represents the i-th The output current of the battery pack at time t; t use represents the unit time formed by time t-1 to time t.

該放電深度方程式係用以估算各該電池組的輸出電量與當前之最大儲電量的百分比,以作為各該電池組之該放電深度。該放電深度方程式如下所示: The discharge depth equation is used to estimate the percentage of the output power of each of the battery packs to the current maximum storage capacity as the discharge depth of each of the battery packs. The depth of discharge equation is as follows:

其中,DOD i k 代表第i個電池組模擬充電與放電k次後之放電深度;Q SOH,i 代表第i個電池組當前最大儲電量。Wherein, DOD i k represents the discharge depth after the i-th battery pack simulates charging and discharging k times; Q SOH, i represents the current maximum storage capacity of the i-th battery pack.

該循環壽命方程式係根據各該電池組之該放電深度及該健康狀態,估算各該電池組之一循環壽命。該循環壽命方程式如下所示:CL i k =(a 1 +b 1DOD i +c 1SOH i k -1 +d 1DOD i 2 +e 1DOD i .SOH i k -1 +f 1DOD i 3 +g 1DOD i 2SOH i k -1 +h 1DOD i 4 +i 1DOD i 3SOH i k -1 )-1 (3)The cycle life equation estimates the cycle life of each of the battery packs based on the depth of discharge of the battery pack and the health state. The cycle life equation is as follows: CL i k = ( a 1 + b 1 . DOD i + c 1 . SOH i k -1 + d 1 . DOD i 2 + e 1 . DOD i .SOH i k -1 + f 1 . DOD i 3 + g 1 . DOD i 2 . SOH i k -1 + h 1 . DOD i 4 + i 1 . DOD i 3 . SOH i k -1 )-1 (3)

其中,Cl i k 代表第i個電池組模擬充電與放電k次後之循環壽命;SOH i k-1 代表第i個電池組模擬充電與放電k-1次後之健康狀態;a1 ~i1 代表數個第一計算係數,且在本實施例中,該數個第一計算係數較佳分別為:a1 =-1.149×104 ;b1 =142.5;c1 =190.7;d1 =-0.4155;e1 =-2.224;f1 =0.002076;g1 =0.001385;h1 =-1.994×10-5 ;i1 =3.961×10-5Wherein, Cl i k represents the cycle life after the i-th battery pack simulates charging and discharging k times; SOH i k-1 represents the health state after the i-th battery pack simulates charging and discharging k-1 times; a 1 ~i 1 represents a plurality of first calculation coefficients, and in the embodiment, the plurality of first calculation coefficients are preferably: a 1 =-1.149×10 4 ; b 1 =142.5; c 1 =190.7; d 1 = -0.4155; e 1 = -2.224; f 1 = 0.002076; g 1 = 0.001385; h 1 = - 1.994 × 10 -5 ; i 1 = 3.961 × 10 -5 .

該健康狀態方程式係根據各該電池組之該放電深度及該循環壽命,更新各該電池組之該健康狀態。該健康狀態方程式表示如下:SOH i k =a 2 +b 2DOD i +c 2CL i k +d 2DOD i 2 +e 2DOD i CL i k +f 2DOD i 3 +g 2DOD i 2CL i k +h 2DOD i 4 +i 2DOD i 3CL i k (4)The health state equation updates the health status of each of the battery packs according to the depth of discharge of the battery pack and the cycle life. The equation of state of health is expressed as follows: SOH i k = a 2 + b 2 . DOD i + c 2 . CL i k + d 2 . DOD i 2 + e 2 . DOD i . CL i k + f 2 . DOD i 3 + g 2 . DOD i 2 . CL i k + h 2 . DOD i 4 + i 2 . DOD i 3 . CL i k (4)

其中,SOH i k 代表第i個電池組經過k次的充放電後之健康狀態;a2 ~i2 代表數個第二計算係數,且在本實施例中,該數個第二計算係數較佳分別為:a2 =61.93;b2 =-0.2839;c2 =0.004168;d2 =0.01122;e2 =0.000209;f2 =-0.0001639;g2 =-4.738×10-6 ;h2 =7.885×10-7 ;i2 =6.636×10-8Wherein, SOH i k represents the health state of the i-th battery pack after k times of charging and discharging; a 2 ~ i 2 represents a plurality of second calculation coefficients, and in the embodiment, the plurality of second calculation coefficients are compared Preferably, a 2 = 61.93; b 2 = -0.2839; c 2 = 0.004168; d 2 = 0.01122; e 2 = 0.000209; f 2 = -0.0001639; g 2 = - 4.738 × 10 -6 ; h 2 = 7.885 ×10 -7 ; i 2 =6.636×10 -8 .

該最小差異量方程式係估算各該電池組在不同放電比例之一健康狀態差異量,並以該健康狀態差異量的最小值作為該最小健康狀態差異量。該最小差異量方程式表示如下: The minimum difference quantity equation estimates the health state difference amount of each of the battery packs at different discharge ratios, and uses the minimum value of the health state difference amount as the minimum health state difference amount. The minimum difference equation is expressed as follows:

其中,SOH i tf 代表第i個電池組最後的健康狀態,SOH j tf 代表第j個電池組最後的健康狀態,該電池組的總數為N,i、j皆為1到N之正整數。Wherein, SOH i tf represents the last health state of the i-th battery pack, and SOH j tf represents the last health state of the j-th battery pack, and the total number of the battery packs is N, i, j are positive integers of 1 to N.

又,各該電池組之放電比例如下所示: Moreover, the discharge ratio of each of the battery packs is as follows:

其中,X Bd,i 代表第i個電池組的放電比例,且該放電比例係為大於0至小於1之間之數值;P B t 代表該數個電池組在t時刻之總功率(W);V B,i t 代表第i個電池組在t時刻之電壓值(V)。Wherein, X Bd,i represents the discharge ratio of the i-th battery pack, and the discharge ratio is a value greater than 0 to less than 1; P B t represents the total power of the plurality of battery packs at time t (W) ; V B, i t represents the voltage value (V) of the i-th battery pack at time t.

更詳言之,藉由該放電方程式的運算,可得知各該電池組在t時刻之輸出電量與剩餘電量的關係,進而透過該放電深度方程式估算各該電池組的放電深度,再將該放電深度代入該循環壽命方程式及該健康狀態方程式以進行運算,其中,該循環壽命方程式及該健康狀態方程式可以遞迴的方式,計算各該電池組在一定放電次數(k次)下及不同放電比例之該循環壽命與該健康狀態,最後,針對在一定放電次數(k次)下之各該電池組,該最小誤差量方程式可累計各該電池組之該最小健康狀態差異量。當求出該最小健康狀態差異量後,便可根據該計算結果,檢視該放電方程式中,各該電池組之輸出電量,以藉此判斷各該電池組間之輸出電量的比例關係,並以該比例關係作為各該電池組之該放電比例。其中,該放電次數在本實施例中係設為4000次。More specifically, by the operation of the discharge equation, the relationship between the output power of each battery pack at time t and the remaining power can be known, and the depth of discharge of each battery pack can be estimated through the discharge depth equation, and then The discharge depth is substituted into the cycle life equation and the health state equation for calculation, wherein the cycle life equation and the health state equation can be recursively calculated, and each battery pack is calculated for a certain number of discharges (k times) and different discharges The cycle life and the health state of the ratio, and finally, for each of the battery packs under a certain number of discharges (k times), the minimum error amount equation may accumulate the minimum health state difference amount of each of the battery packs. After determining the minimum health state difference amount, the output power of each battery pack in the discharge equation can be checked according to the calculation result, thereby determining the proportional relationship of the output power between the battery groups, and This proportional relationship is taken as the discharge ratio of each of the battery packs. Here, the number of discharges is set to 4000 times in this embodiment.

進一步而言,在該放電估算步驟S3中,該放電估算方程式可求出各該電池組之該最小健康狀態差異量,且當各該電池組具有最小健康狀態差異量時,即代表在各該電池組在一定時間的使用後,各該電池組的剩餘的循環壽命會趨近於相同。因此,在計算出各該電池組之最小健康狀態差異量後,可根據該最小健康狀態差異量判斷各該電池組之該放電比例,當各該電池組依該放電比例進行放電時,便可使各該電池組剩餘的循環壽命逐漸趨近於相同,進而使該數個電池組之循環壽命可同時耗盡,以 提升電力再利用的效率。Further, in the discharge estimating step S3, the discharge estimating equation can determine the minimum health state difference amount of each of the battery packs, and when each of the battery packs has a minimum health state difference amount, that is, After the battery pack is used for a certain period of time, the remaining cycle life of each of the battery packs will approach the same. Therefore, after calculating the minimum health state difference amount of each of the battery packs, the discharge ratio of each of the battery packs can be determined according to the minimum health state difference amount, and when each of the battery packs discharges according to the discharge ratio, The remaining cycle life of each of the battery packs is gradually approached to be the same, so that the cycle life of the plurality of battery packs can be simultaneously exhausted, so that Improve the efficiency of power reuse.

該充電估算步驟S4,係以該處理器3執行一充電估算方程式,並根據各該電池組之該放電比例及一輸入電量,估算各該電池組之一最大剩餘電量,再根據該最大剩餘電量,估算各該電池組之一充電比例。The charging estimation step S4 is performed by the processor 3 to calculate a charging estimation equation, and estimating the maximum remaining power of each of the battery packs according to the discharge ratio of each of the battery packs and an input power amount, and then according to the maximum remaining power. , estimating the charging ratio of one of the battery packs.

在本發明較佳實施利中,該充電估算方程式包含一充電方程式及一最大差異量方程式。該充電方程式係用以估算具有一預定電量之各該電池組,在經過一單位時間輸入該輸入電量後,各該電池組之剩餘電量。該充電方程式如下所示:Q B ,i t =Q B ,i t -1 +I Bc ,i t t use (8)In a preferred embodiment of the invention, the charge estimation equation includes a charging equation and a maximum difference equation. The charging equation is used to estimate the remaining power of each of the battery packs after the input of the input power by one unit of time for each of the battery packs having a predetermined amount of power. The charging equation is as follows: Q B , i t = Q B , i t -1 + I Bc , i t . t use (8)

其中,Q B,i t 代表第i個電池組在t時刻之剩餘電量;Q B,i t -1 代表第i個電池組在t-1時刻之剩餘電量;I Bc,i t 代表第i個電池組在t時刻之輸入電流;t use 代表由t-1時刻至t時刻所形成之該單位時間。Where Q B, i t represents the remaining power of the i-th battery pack at time t; Q B, i t -1 represents the remaining power of the i-th battery pack at time t-1; I Bc, i t represents the i-th The input current of the battery pack at time t; t use represents the unit time formed by time t-1 to time t.

該最大差異量方程式係估算各該電池組之該最大剩餘電量,該最大差異量方程式如下所示: The maximum difference quantity equation estimates the maximum remaining power of each of the battery packs, and the maximum difference amount equation is as follows:

又,各該電池組之充電比例如下所示: Moreover, the charging ratio of each of the battery packs is as follows:

I Bd ,i t =(P B t X Bc ,i )/V B ,i t (11) I Bd , i t =( P B t . X Bc , i )/ V B , i t (11)

其中,X Bc,i 代表第i個電池組的充電比例,且該充電比例係為大於0至小於1之間之數值;P B t 代表該數個電池組在t時刻之總功率(W);V B,i t 代表第i個電池組在t時刻之電壓值(V)。Wherein, X Bc,i represents the charging ratio of the i-th battery pack, and the charging ratio is a value greater than 0 to less than 1; P B t represents the total power of the plurality of battery packs at time t (W) ; V B, i t represents the voltage value (V) of the i-th battery pack at time t.

更詳言之,在藉由該放電估算步驟S3求得各該電池組所相對之各該放電比例後,便可將各該電池組在放電後的剩餘電量,代入該充 電方程式進行運算,以計算在各個不同的充電比例下,各該電池組在t時刻之輸入電量與剩餘電量的關係,最後,針對在一定充電次數(k次)下之各該電池組,該最大差異量方程式可累計各該電池組之該最大剩餘電量。當求出該最大剩餘電量後,便可根據該計算結果,檢視該充電方程式中,各該電池組之輸入電量,以藉此判斷各該電池組間之輸入電量的比例關係,並以該比例關係作為各該電池組之該充電比例,其中,該充電次數在本實施例中係設為4000次。More specifically, after the discharge ratios of the battery packs are determined by the discharge estimating step S3, the remaining power of each of the battery packs after being discharged can be substituted into the charge. The electric equation is calculated to calculate the relationship between the input power of each battery pack at time t and the remaining power at each different charging ratio, and finally, for each battery pack under a certain number of charging times (k times), The maximum difference amount equation can accumulate the maximum remaining amount of each of the battery packs. After determining the maximum remaining power, the input power of each battery pack in the charging equation can be checked according to the calculation result, thereby determining the proportional relationship of the input power between the battery groups, and using the ratio The relationship is the charging ratio of each of the battery packs, and the number of times of charging is set to 4000 times in this embodiment.

進一步而言,在該充電估算步驟S4中,該充電估算方程式可求出各該電池組之該最大剩餘電量,且當各該電池組具有最大剩餘電量時,即代表在各該電池組在一定時間的使用過程中,各該電池組所累計之可用電量最高。因此,在計算出各該電池組之最大剩餘電量後,可根據該最大剩餘電量判斷各該電池組之該充電比例,當各該電池組依該放電估算步驟S3之該放電比例放電後,再透過該充電比例進行充電時,便可使各該電池組具有最高的可用電量,進而提升電力再利用的效率。Further, in the charging estimation step S4, the charging estimation equation can determine the maximum remaining power of each of the battery packs, and when each of the battery packs has a maximum remaining power, that is, the battery pack is in a certain state. During the use of time, each of the battery packs has the highest available power. Therefore, after calculating the maximum remaining power of each of the battery packs, the charging ratio of each of the battery packs may be determined according to the maximum remaining power amount, and after each of the battery packs is discharged according to the discharge ratio of the discharge estimating step S3, When charging is performed by the charging ratio, each of the battery packs can have the highest available power, thereby improving the efficiency of power recycling.

綜上所述,本發明係針對不同健康狀態之電池,先估算各該電池在不同的放電比例下之使用效率,再找出在最佳使用效率下之各該電池的放電比例,接著根據該放電比例,估算各該電池在不同的充電比例下之使用效率,再找出在最佳使用效率下之各該電池的充電比例,以提升電力再利用之效率。In summary, the present invention is directed to batteries of different health states, first estimating the use efficiency of each battery under different discharge ratios, and then finding the discharge ratio of each battery under the optimal use efficiency, and then according to the The discharge ratio is used to estimate the efficiency of each battery under different charging ratios, and then the charging ratio of each battery under the optimal use efficiency is found to improve the efficiency of power recycling.

雖然本發明已利用上述較佳實施例揭示,然其並非用以限定本發明,任何熟習此技藝者在不脫離本發明之精神和範圍之內,相對上述實施例進行各種更動與修改仍屬本發明所保護之技術範疇,因此本發明之保護範圍當視後附之申請專利範圍所界定者為準。While the invention has been described in connection with the preferred embodiments described above, it is not intended to limit the scope of the invention. The technical scope of the invention is protected, and therefore the scope of the invention is defined by the scope of the appended claims.

S1‧‧‧量測步驟S1‧‧‧Measurement steps

S2‧‧‧分群步驟S2‧‧‧ grouping steps

S3‧‧‧放電估算步驟S3‧‧‧Discharge estimation procedure

S4‧‧‧充電估算步驟S4‧‧‧Charging estimation procedure

Claims (10)

一種汰換電池組再利用之充放電方法,係包含:一量測步驟,係以一量測模組量測數個電池之一健康狀態;一分群步驟,係以一分群模組在一健康狀態範圍中分成數個區間,並依據各該電池之該健康狀態,將各該電池分群至相對應的區間,以形成數個電池組;一放電估算步驟,係以一處理器執行一放電估算方程式,並根據各該電池組之一輸出電量及一放電深度,估算各該電池組之一最小健康狀態差異量,再根據該最小健康狀態差異量,估算各該電池組之一放電比例;及一充電估算步驟,係以該處理器執行一充電估算方程式,並根據各該電池組之該放電比例及一輸入電量,估算各該電池組之一最大剩餘電量,再根據該最大剩餘電量,估算各該電池組之一充電比例。 A charging and discharging method for replacing a battery pack includes: a measuring step of measuring a health state of one of the plurality of batteries by using a measuring module; and a grouping step of using a cluster module in a health The state range is divided into a plurality of intervals, and each battery is grouped into corresponding intervals according to the health state of each battery to form a plurality of battery packs; and a discharge estimating step is performed by a processor to perform a discharge estimation An equation, and estimating a minimum health state difference amount of each of the battery packs according to the output power and a discharge depth of each of the battery packs, and estimating a discharge ratio of each of the battery packs according to the minimum health state difference amount; and a charging estimation step is performed by the processor, and estimating a maximum remaining power of each of the battery packs according to the discharge ratio and an input power of each battery pack, and estimating the maximum remaining power according to the maximum remaining power. One of the charging ranges of each of the battery packs. 根據申請專利範圍第1項之汰換電池組再利用之充放電方法,其中,該放電估算方程式包含一放電方程式、一放電深度方程式、一循環壽命方程式、一健康狀態方程式及一最小差異量方程式;該放電方程式係用以估算具有一預定電量之各該電池組,在經過一單位時間輸出該輸出電量後,各該電池組之剩餘電量;該放電深度方程式係用以估算各該電池組的輸出電量與當前之最大儲電量的百分比,以作為各該電池組之該放電深度;該循環壽命方程式係根據各該電池組之該放電深度及該健康狀態,估算各該電池組之一循環壽命;該健康狀態方程式係根據各該電池組之該放電深度及該循環壽命,更新各該電池組之該健康狀態;該最小差異量方程式係估算各該電池組在不同放電比例之一健康狀態差異量,並以該健康狀態差異量的最小值作為該最小健康狀態差異量。 The charging and discharging method for replacing a battery pack according to the first application of the patent scope, wherein the discharge estimating equation comprises a discharge equation, a discharge depth equation, a cycle life equation, a health state equation and a minimum difference equation The discharge equation is used to estimate the remaining power of each battery pack after outputting the output power for each battery pack having a predetermined amount of power; the discharge depth equation is used to estimate each battery pack The discharge power is the percentage of the current maximum stored electricity as the discharge depth of each of the battery packs; the cycle life equation estimates the cycle life of each of the battery packs according to the depth of discharge of the battery pack and the health state The health state equation updates the health state of each of the battery packs according to the depth of discharge of the battery pack and the cycle life; the minimum difference amount equation estimates the health state difference of each of the battery packs at different discharge ratios. Quantity, and the minimum value of the difference in health status is used as the minimum health status difference the amount. 根據申請專利範圍第1項之汰換電池組再利用之充放電方法,其中,該充電估算方程式包含一充電方程式及一最大差異量方程式;該充電方程式係用以估算具有一預定電量之各該電池組,在經過一單位時間輸入該輸入電量後,各該電池組之剩餘電量;該最大差異量方程式係估算各該電池組在不同充電比例之該剩餘電量,並以該剩餘電量的最大值作為該最大剩餘電量。 The charge and discharge method for replacing a battery pack according to the first aspect of the patent application, wherein the charge estimation equation includes a charging equation and a maximum difference equation; the charging equation is used to estimate each of the predetermined power amounts The battery pack, after inputting the input power for one unit time, the remaining power of each battery pack; the maximum difference equation is to estimate the remaining power of each battery pack at different charging ratios, and the maximum value of the remaining power As the maximum remaining power. 根據申請專利範圍第2項之汰換電池組再利用之充放電方法,其中,該放電方程式如下所示:Q B ,i t =Q B,i t -1 -I Bd ,i t t use 其中,Q B,i t 代表第i個電池組在t時刻之剩餘電量;Q B,i t -1 代表第i個電池組在t-1時刻之剩餘電量;I Bd,i t 代表第i個電池組在t時刻之輸出電流;t use 代表由t-1時刻至t時刻所形成之該單位時間。According to the charging and discharging method of replacing the battery pack according to item 2 of the patent application scope, the discharge equation is as follows: Q B , i t = Q B, i t -1 - I Bd , i t . t use where Q B, i t represents the remaining power of the i-th battery pack at time t; Q B, i t -1 represents the remaining power of the i-th battery pack at time t-1; I Bd, i t represents The output current of the i-th battery pack at time t; t use represents the unit time formed by time t-1 to time t. 根據申請專利範圍第2項之汰換電池組再利用之充放電方法,其中,該放電深度方程式如下所示: 其中,DOD i k 代表第i個電池組模擬充電與放電k次後之放電深度;Q B,i t 代表第i個電池組在t時刻之剩餘電量;Q SOH,i 代表第i個電池組當前最大儲電量。According to the charging and discharging method of replacing the battery pack according to the second item of the patent application scope, the discharge depth equation is as follows: Wherein, DOD i k represents the discharge depth after the i-th battery pack simulates charging and discharging k times; Q B, i t represents the remaining power of the i-th battery pack at time t; Q SOH, i represents the ith battery pack The current maximum storage capacity. 根據申請專利範圍第2項之汰換電池組再利用之充放電方法,其中,該循環壽命方程式如下所示:CL i k =(a 1 +b 1DOD i +c 1SOH i k -1 +d 1DOD i 2 +e 1DOD i SOH i k -1 +f 1DOD i 3 +g 1DOD i 2SOH i k -1 +h 1DOD i 4 +i 1DOD i 3SOH i k -1 )-1其中,Cl i k 代表第i個電池組模擬充電與放電k次後之循環壽命;SOH i k -1 代表第i個電池組模擬充電與放電k-1次後之健康狀態;DOD i 代表第i個電池組之放電深度;a1 ~i1 代表數個第一計算係數,且a1 =-1.149×104 ;b1 =142.5;c1 =190.7;d1 =-0.4155;e1 =-2.224;f1 =0.002076;g1 =0.001385;h1 =-1.994×10-5 ;i1 =3.961×10-5According to the charging and discharging method of replacing the battery pack according to the second item of the patent application scope, the cycle life equation is as follows: CL i k = ( a 1 + b 1 . DOD i + c 1 . SOH i k - 1 + d 1 . DOD i 2 + e 1 . DOD i . SOH i k -1 + f 1 . DOD i 3 + g 1 . DOD i 2 . SOH i k -1 + h 1 . DOD i 4 + i 1 DOD i 3 . SOH i k -1 )-1 where Cl i k represents the cycle life after the i-th battery pack simulates charging and discharging k times; SOH i k -1 represents the i-th battery pack analog charging and discharging Health state after k-1 times; DOD i represents the discharge depth of the i-th battery pack; a 1 ~ i 1 represents several first calculation coefficients, and a 1 = - 1.149 × 10 4 ; b 1 = 142.5; 1 = 190.7; d 1 = -0.4155; e 1 = -2.224; f 1 = 0.002076; g 1 = 0.001385; h 1 = - 1.994 × 10 -5 ; i 1 = 3.961 × 10 -5 . 根據申請專利範圍第2項之汰換電池組再利用之充放電方法,其中,該健康狀態方程式如下所示:SOH i k =a 2 +b 2DOD i +c 2CL i k +d 2DOD i 2 +e 2DOD i CL i k +f 2DOD i 3 +g 2DOD i 2CL i k +h 2DOD i 4 +i 2DOD i 3CL i k 其中,SOH i k 代表第i個電池組經過k次的充放電後之健康狀態;Cl i k 代表第i個電池組模擬充電與放電k次後之循環壽命;DOD i 代表第i個電池組之放電深度;a2 ~i2 代表數個第二計算係數,且a2 =61.93;b2 =-0.2839;c2 =0.004168;d2 =0.01122;e2 =0.000209;f2 =-0.0001639;g2 =-4.738×10-6 ;h2 =7.885×10-7 ;i2 =6.636×10-8According to the charging and discharging method of replacing the battery pack according to the second item of the patent application scope, the equation of the health state is as follows: SOH i k = a 2 + b 2 . DOD i + c 2 . CL i k + d 2 . DOD i 2 + e 2 . DOD i . CL i k + f 2 . DOD i 3 + g 2 . DOD i 2 . CL i k + h 2 . DOD i 4 + i 2 . DOD i 3 . CL i k where SOH i k represents the health state of the i-th battery pack after k times of charge and discharge; Cl i k represents the cycle life after the i-th battery pack simulates charging and discharging k times; DOD i represents the i-th The depth of discharge of the battery packs; a 2 ~ i 2 represents a number of second calculated coefficients, and a 2 = 61.93; b 2 = -0.2839; c 2 = 0.004168; d 2 = 0.01122; e 2 = 0.000209; f 2 = -0.0001639; g 2 = - 4.738 × 10 -6 ; h 2 = 7.885 × 10 -7 ; i 2 = 6.636 × 10 -8 . 根據申請專利範圍第2項之汰換電池組再利用之充放電方法,其中,該最小差異量方程式如下所示: 其中,SOH i tf 代表第i個電池組最後的健康狀態,SOH j tf 代表第j個電池組最後的健康狀態。According to the charging and discharging method of replacing the battery pack according to item 2 of the patent application scope, the minimum difference amount equation is as follows: Where SOH i tf represents the last health state of the i-th battery pack, and SOH j tf represents the last health state of the j-th battery pack. 根據申請專利範圍第3項之汰換電池組再利用之充放電方法,其中,該充電方程式如下所示:Q B ,i t =Q B ,i t -1 +I Bc ,i t t use 其中,Q B,i t 代表第i個電池組在t時刻之剩餘電量;Q B,i t-1 代表第i個電池組在t-1時刻之剩餘電量;I Bc,i t 代表第i個電池組在t時刻 之輸入電流;t use 代表由t-1時刻至t時刻所形成之該單位時間。According to the charging and discharging method of replacing the battery pack according to Item 3 of the patent application scope, the charging equation is as follows: Q B , i t = Q B , i t -1 + I Bc , i t . t use where Q B, i t represents the remaining power of the i-th battery pack at time t; Q B, i t-1 represents the remaining power of the i-th battery pack at time t-1; I Bc, i t represents The input current of the i-th battery pack at time t; t use represents the unit time formed by time t-1 to time t. 根據申請專利範圍第3項之汰換電池組再利用之充放電方法,其中,該最大差異量方程式如下所示: 其中,Q B,i t 代表第i個電池組在t時刻之剩餘電量。According to the charging and discharging method of replacing the battery pack according to the third item of the patent application scope, the maximum difference amount equation is as follows: Where Q B, i t represents the remaining power of the i-th battery pack at time t.
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