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JP6991591B2 - How to predict the state of charge of the battery - Google Patents

How to predict the state of charge of the battery Download PDF

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JP6991591B2
JP6991591B2 JP2019219659A JP2019219659A JP6991591B2 JP 6991591 B2 JP6991591 B2 JP 6991591B2 JP 2019219659 A JP2019219659 A JP 2019219659A JP 2019219659 A JP2019219659 A JP 2019219659A JP 6991591 B2 JP6991591 B2 JP 6991591B2
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伍崇永
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新盛力科技股▲ふん▼有限公司
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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
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    • Y02E60/10Energy storage using batteries

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本発明は予測方法に関し、特に、バッテリの充電状態を予測する方法に関する。 The present invention relates to a prediction method, and more particularly to a method of predicting the state of charge of a battery.

バッテリ技術の進化に伴い、現在では多くの電子機器にバッテリが設けられており、バッテリに蓄えられた電気量を利用して電子機器の運転に必要なエネルギーを供給している。バッテリに蓄えられた電気量は、電子機器の運転に応じて徐々に減少していく。バッテリに蓄えられた電気量が完全に使用されて電子機器が予告なく運転を停止することのないよう、通常、電子機器はバッテリの充電状態(State of Charge,SOC)を予測する。バッテリの充電状態(SOC)は、バッテリ内の使用可能な電気エネルギーの状態とも定義され、通常はパーセンテージで表される。例えば、SOC=残容量(Remaining Capacity,RM)/満充電容量(Full Charged Capacity,FCC)である。バッテリの充電状態(SOC)を予測することで、電子機器の使用者は、バッテリに蓄えられた電気量が不足した場合に事前にバッテリに対し充電動作を実行可能となる。 With the evolution of battery technology, many electronic devices are now equipped with batteries, and the amount of electricity stored in the batteries is used to supply the energy required to operate the electronic devices. The amount of electricity stored in the battery gradually decreases as the electronic device operates. Normally, the electronic device predicts the state of charge (SOC) of the battery so that the amount of electricity stored in the battery is not completely used and the electronic device does not stop the operation without notice. The state of charge (SOC) of a battery is also defined as the state of available electrical energy in the battery and is usually expressed as a percentage. For example, SOC = Remaining Capacity (RM) / Full Charged Capacity (FCC). By predicting the state of charge (SOC) of the battery, the user of the electronic device can perform a charging operation on the battery in advance when the amount of electricity stored in the battery is insufficient.

従来技術では、例えば電圧ルックアップ法(OVC Lookup Table)のようなルックアップテーブル法でバッテリの充電状態(SOC)を予測することが多い。電圧ルックアップ法のテーブルには、電圧別に対応する充電状態(SOC)が羅列されている。よって、その時点におけるバッテリの電圧を検出することで、電圧ルックアップ法のテーブルから対応する充電状態(SOC)が照合される。電圧ルックアップ法によれば、迅速且つ容易にバッテリの充電状態(SOC)を予測可能であるが、バッテリの放電過程では、大電流の放電や苛酷な環境(例えば、高温又は低温環境)に起因して充電状態(SOC)の予測に誤差が生じることが多い。そのため、バッテリがカットオフ電圧まで放電された場合に、充電状態(SOC)がそのまま0%まで急低下してバッテリの放電を停止し、バッテリを電力とする電子機器が運転を突然停止する恐れがある。例えば、バッテリを電気自動車に使用する場合には、電気自動車が充電状態(SOC)の予測誤差に起因して予告なく走行を停止し、走行の安全に問題を生じる恐れがある。 In the prior art, the state of charge (SOC) of the battery is often predicted by a look-up table method such as the voltage lookup method (OVC Loop Table). The table of the voltage lookup method lists the state of charge (SOC) corresponding to each voltage. Therefore, by detecting the voltage of the battery at that time, the corresponding charge state (SOC) is collated from the table of the voltage lookup method. According to the voltage lookup method, the state of charge (SOC) of the battery can be predicted quickly and easily, but the battery discharge process is caused by a large current discharge or a harsh environment (for example, a high temperature or low temperature environment). As a result, errors often occur in the prediction of the state of charge (SOC). Therefore, when the battery is discharged to the cutoff voltage, the state of charge (SOC) drops sharply to 0% and the battery discharge is stopped, and the battery-powered electronic device may suddenly stop operating. be. For example, when a battery is used in an electric vehicle, the electric vehicle may stop running without notice due to a prediction error of the state of charge (SOC), which may cause a problem in running safety.

上記に鑑みて、本発明は、バッテリの充電状態を予測するための革新的な方法を提供する。前記方法によれば、正確なバッテリの充電状態(SOC)を予測可能なため、バッテリを電力として使用する電子機器が予告なく運転を停止するとの事態が回避される。これを本発明の目的とする。 In view of the above, the present invention provides an innovative method for predicting the state of charge of a battery. According to the above method, since the accurate state of charge (SOC) of the battery can be predicted, the situation that the electronic device using the battery as electric power stops the operation without notice is avoided. This is an object of the present invention.

本発明は、正確なバッテリの充電状態を予測可能とすることで、バッテリの放電時に充電状態が瞬時に0%まで急低下してバッテリの放電が停止するとの事態を回避し、バッテリを電力として使用する電子機器の操作上の安全性及び安定性を向上させるバッテリ容量の予測方法を提供することを目的とする。 The present invention makes it possible to predict the accurate charge state of the battery, thereby avoiding the situation where the charge state instantly drops to 0% when the battery is discharged and the battery discharge stops, and the battery is used as electric power. It is an object of the present invention to provide a method for predicting battery capacity, which improves the operational safety and stability of the electronic device used.

上記の目的を達成するために、本発明はバッテリの充電状態の予測方法を提供する。前記予測方法は、バッテリを有する電子機器に用いられ、バッテリの電流が0より小さいと判断された場合、バッテリの放電時における残容量調整手順を実行するステップを含む。バッテリの放電時における残容量調整手順を実行するステップとして、バッテリの電圧を検出し、検出されたバッテリの電圧に基づいてルックアップテーブルから対応する基準充電状態を検索し、検出されたバッテリの電圧から電圧閾値を減算することで電圧差を取得し、現時点の充電状態を電圧差で除算することで第1の傾きを取得し、基準充電状態を電圧差で除算することで第2の傾きを取得し、第1の傾きを第2の傾きで除算することで調整比率を取得し、バッテリが放電した電荷容量をクーロン・カウント法でカウントすることで放電のカウント容量を算出し、放電のカウント容量に調整比率を乗算することで調整値を取得し、事前に記録されていた残容量から調整値を減算することで新たな残容量を予測し、新たな残容量を満充電容量で除算することで新たなバッテリの充電状態を予測する。 In order to achieve the above object, the present invention provides a method for predicting the state of charge of a battery. The prediction method is used for an electronic device having a battery, and includes a step of executing a procedure for adjusting the remaining capacity when the battery is discharged when the current of the battery is determined to be less than zero. As a step in performing the remaining capacity adjustment procedure when the battery is discharged, the voltage of the battery is detected, the corresponding reference charge state is searched from the lookup table based on the detected battery voltage, and the detected battery voltage is detected. The voltage difference is obtained by subtracting the voltage threshold from, the first slope is obtained by dividing the current charge state by the voltage difference, and the second slope is obtained by dividing the reference charge state by the voltage difference. Obtain the adjustment ratio by dividing the first slope by the second slope, calculate the discharge count capacity by counting the charge capacity discharged by the battery by the Coulomb counting method, and count the discharge. The adjustment value is obtained by multiplying the capacity by the adjustment ratio, the new remaining capacity is predicted by subtracting the adjustment value from the remaining capacity recorded in advance, and the new remaining capacity is divided by the full charge capacity. This predicts the state of charge of the new battery.

本発明の実施例では、更に、満充電容量の更新手順を含み、そのステップとして、検出されたバッテリの電圧が電圧閾値以下か否かを判断し、バッテリの電圧が電圧閾値以下でない場合には満充電容量の更新手順を停止し、バッテリの電圧が電圧閾値以下の場合にはバッテリの電流が0より小さいか否かを引き続き判断し、バッテリの電流が0より小さい場合には満充電容量の更新手順を停止し、バッテリの電流が0より小さくない場合には満充電容量の更新手順の実行を開始する。満充電容量の更新手順を実行するステップとして、バッテリに充電されている電荷容量をクーロン・カウント法でカウントすることで充電のカウント容量を算出し、且つ、事前に記録されていた残容量に充電のカウント容量を加算することで新たに記録する残容量を取得し、バッテリが満充電状態か否かを判断し、満充電状態の場合には新たに記録する残容量を満充電容量として更新し、満充電状態でない場合には、バッテリの電流が0より小さいか否かを判断するステップに戻る。 The embodiment of the present invention further includes a procedure for updating the full charge capacity, and as a step thereof, it is determined whether or not the detected battery voltage is below the voltage threshold, and if the battery voltage is not below the voltage threshold, it is determined. Stop the full charge capacity update procedure, continue to determine if the battery current is less than 0 if the battery voltage is below the voltage threshold, and if the battery current is less than 0 the full charge capacity The update procedure is stopped, and if the battery current is not less than 0, the execution of the full charge capacity update procedure is started. As a step to execute the procedure for updating the full charge capacity, the charge capacity charged in the battery is counted by the Coulomb counting method to calculate the charge count capacity, and the remaining capacity recorded in advance is charged. By adding the count capacity of, the remaining capacity to be newly recorded is acquired, it is judged whether or not the battery is fully charged, and if it is fully charged, the remaining capacity to be newly recorded is updated as the fully charged capacity. If the battery is not fully charged, the process returns to the step of determining whether or not the battery current is less than zero.

本発明の実施例では、更なるステップとして、バッテリの電流又は平均電流が0か否かを判断し、バッテリの電流又は平均電流が0の場合には、バッテリの静態時における残容量補正手順を実行し、バッテリの電流又は平均電流が0でない場合にはバッテリが充電又は放電している。バッテリの静態時における残容量補正手順を実行するステップとして、バッテリの電圧を検出し、検出されたバッテリの電圧に基づいて、ルックアップテーブルから対応する基準残容量を検索し、事前に記録されていた残容量が基準残容量よりも大きいか否かを判断し、事前に記録されていた残容量が基準容量よりも小さい場合には、バッテリの電流又は平均電流が0か否かを判断するステップに再び戻り、事前に記録されていた残容量が基準残容量よりも大きい場合には、新たに記録する残容量が基準残容量よりも小さくなるよう、事前に記録されていた残容量について自家消費容量控除手順を少なくとも1回実行し、自家消費容量控除手順が完了すると、再びバッテリの電流又は平均電流が0か否かを判断するステップに戻る。 In the embodiment of the present invention, as a further step, it is determined whether or not the current or the average current of the battery is 0, and if the current or the average current of the battery is 0, the remaining capacity correction procedure in the static state of the battery is performed. If the current or average current of the battery is non-zero, the battery is charging or discharging. As a step to perform the remaining capacity correction procedure in the static state of the battery, the voltage of the battery is detected, and based on the detected battery voltage, the corresponding reference remaining capacity is searched from the lookup table and pre-recorded. A step to determine whether the remaining capacity is larger than the reference remaining capacity, and if the pre-recorded remaining capacity is smaller than the reference capacity, determine whether the battery current or average current is 0. If the pre-recorded remaining capacity is larger than the standard remaining capacity, the pre-recorded remaining capacity will be consumed in-house so that the newly recorded remaining capacity will be smaller than the standard remaining capacity. When the capacity deduction procedure is executed at least once and the self-consumption capacity deduction procedure is completed, the process returns to the step of determining whether the battery current or the average current is 0 or not.

本発明の実施例では、更に、バッテリの電流が0よりも大きいと判断された場合にバッテリの充電時における残容量カウント手順を実行するステップを含み、バッテリの充電時における残容量カウント手順を実行するステップとして、バッテリに充電されている電荷容量をクーロン・カウント法でカウントすることで充電のカウント容量を算出し、 事前に記録されていた残容量に充電のカウント容量を加算することで新たな残容量を取得し、新たな残容量を満充電容量で除算することで新たなバッテリの充電状態を予測する。 In the embodiment of the present invention, further includes a step of executing a remaining capacity counting procedure at the time of charging the battery when it is determined that the current of the battery is larger than 0, and executing the remaining capacity counting procedure at the time of charging the battery. As a step to do, the charge capacity is calculated by counting the charge capacity charged in the battery by the Coulomb count method, and the charge count capacity is added to the pre-recorded remaining capacity. The remaining capacity is acquired, and the new remaining capacity is divided by the full charge capacity to predict the charge state of the new battery.

本発明の実施例において、電圧閾値は、低い充電状態に対応する特定の電圧又は放電終止電圧である。 In the embodiments of the present invention, the voltage threshold is a specific voltage or discharge end voltage corresponding to a low charge state.

本発明の実施例において、ルックアップテーブルは、バッテリの電圧と基準充電状態及び基準残容量との対応表である。 In the embodiment of the present invention, the look-up table is a correspondence table between the voltage of the battery and the reference charge state and the reference remaining capacity.

図1は、本発明における電子機器の回路構造を示す図である。FIG. 1 is a diagram showing a circuit structure of an electronic device in the present invention. 図2は、本発明におけるバッテリの充電状態の予測方法のフローチャートである。FIG. 2 is a flowchart of a method for predicting a state of charge of a battery in the present invention. 図3は、本発明のバッテリの放電時における残容量調整手順のフローチャートである。FIG. 3 is a flowchart of the remaining capacity adjusting procedure when the battery of the present invention is discharged. 図4は、本発明におけるバッテリの電圧及び充電状態のグラフである。FIG. 4 is a graph of the voltage and charge state of the battery in the present invention. 図5は、本発明のバッテリの静態時における残容量補正手順のフローチャートである。FIG. 5 is a flowchart of the remaining capacity correction procedure in the static state of the battery of the present invention. 図6は、本発明におけるバッテリの満充電容量更新のフローチャートである。FIG. 6 is a flowchart of updating the full charge capacity of the battery in the present invention. 図7は、本発明におけるバッテリの放電時における充電状態予測曲線と、従来技術におけるバッテリの放電時における充電状態予測曲線を示す図である。FIG. 7 is a diagram showing a charge state prediction curve when the battery is discharged in the present invention and a charge state prediction curve when the battery is discharged in the prior art.

本発明における電子機器の回路構造を示す図1、本発明におけるバッテリの充電状態の予測方法のフローチャートである図2、本発明のバッテリの放電時における残容量調整手順のフローチャートである図3、本発明におけるバッテリの電圧及び充電状態のグラフである図4、及び本発明のバッテリの静態時における残容量補正手順のフローチャートである図5を参照する。図1に示すように、本発明における電子機器100としては、電気自動車、携帯型電子機器、又は、バッテリを主な供給電源とするデバイスが考えられ、バッテリ10、プロセッサ11、記憶ユニット12、表示ユニット13、電流検出回路14及び電圧検出回路15を含む。プロセッサ11は、バッテリ10、記憶ユニット12、表示ユニット13、電流検出回路14及び電圧検出回路15に接続される。記憶ユニット12には、バッテリ容量予測プログラム120とルックアップテーブル121が記憶されるとともに、バッテリの残容量(Remaining Capacity,RM)とバッテリの満充電容量(Full Charged Capacity,FCC)が情報として記録される。本発明の電子機器100は、バッテリ容量予測プログラム120によりバッテリ10の充電状態(State of Charge,SOC)を予測する。予測された充電状態(SOC)は、記憶ユニット12に記憶されて表示ユニット13に表示される。 FIG. 1, showing the circuit structure of the electronic device in the present invention, FIG. 2, which is a flowchart of the method for predicting the charge state of the battery in the present invention, FIG. 3, which is a flowchart of the remaining capacity adjusting procedure when the battery of the present invention is discharged, FIG. Refer to FIG. 4 which is a graph of the voltage and charge state of the battery in the present invention, and FIG. 5 which is a flowchart of the remaining capacity correction procedure in the static state of the battery of the present invention. As shown in FIG. 1, the electronic device 100 in the present invention may be an electric vehicle, a portable electronic device, or a device whose main power supply is a battery, and includes a battery 10, a processor 11, a storage unit 12, and a display. It includes a unit 13, a current detection circuit 14, and a voltage detection circuit 15. The processor 11 is connected to the battery 10, the storage unit 12, the display unit 13, the current detection circuit 14, and the voltage detection circuit 15. The storage unit 12 stores the battery capacity prediction program 120 and the look-up table 121, and records the remaining capacity of the battery (Remaining Capacity, RM) and the full charge capacity of the battery (Full Charged Capacity, FCC) as information. To. The electronic device 100 of the present invention predicts the state of charge (SOC) of the battery 10 by the battery capacity prediction program 120. The predicted charging state (SOC) is stored in the storage unit 12 and displayed on the display unit 13.

図2に示すように、本発明におけるバッテリの充電状態(SOC)の予測方法のフローは次の通りである。まず、ステップS201において、プロセッサ11はバッテリ容量予測プログラム120を起動し、電流検出回路14によりバッテリ10の電流(I)を検出することで、バッテリ10の電流(I)又は平均電流(Iavg)が0か否かを判断する。バッテリ10の電流(I)又は平均電流(Iavg)が0でない場合にはバッテリ10が充放電状態にあるため、続いてステップS203を実行し、バッテリ10の電流(I)が0より小さいか否かをプロセッサ11により判断する。バッテリ10の電流(I)が0より小さい場合、バッテリ容量予測プログラム120は、バッテリの放電時における残容量調整手順S21を実行する。一方、バッテリ10の電流(I)が0より小さくない場合、バッテリ容量予測プログラム120は、バッテリの充電時における残容量カウント手順S23を実行する。そして、ステップS201に戻り、バッテリ10の電流(I)又は平均電流(Iavg)が0の場合、バッテリ10は非充放電状態にあるため、バッテリ容量予測プログラム120は、バッテリの静態時における残容量補正手順S25を実行する。 As shown in FIG. 2, the flow of the method for predicting the state of charge (SOC) of the battery in the present invention is as follows. First, in step S201, the processor 11 activates the battery capacity prediction program 120, and the current detection circuit 14 detects the current (I) of the battery 10, so that the current (I) or the average current (I avg ) of the battery 10 is detected. Judges whether or not is 0. If the current (I) or the average current (I avg ) of the battery 10 is not 0, the battery 10 is in a charged / discharged state. Therefore, step S203 is subsequently executed, and whether the current (I) of the battery 10 is smaller than 0. Whether or not it is determined by the processor 11. If the current (I) of the battery 10 is less than 0, the battery capacity prediction program 120 executes the remaining capacity adjusting procedure S21 when the battery is discharged. On the other hand, when the current (I) of the battery 10 is not less than 0, the battery capacity prediction program 120 executes the remaining capacity counting procedure S23 at the time of charging the battery. Then, returning to step S201, when the current (I) or the average current (I avg ) of the battery 10 is 0, the battery 10 is in a non-charged / discharged state, so that the battery capacity prediction program 120 remains in the static state of the battery. The capacity correction procedure S25 is executed.

図3に示すように、バッテリ10が放電中の場合、バッテリ容量予測プログラム120は、バッテリの放電時における残容量調整手順S21を実行する。まず、ステップS211において、プロセッサ11は電圧検出回路15によりバッテリ10の電圧(V)を検出し、検出された電圧(V)に基づいて、ルックアップテーブル121から対応する基準充電状態(SOCref)を検索する。本発明の実施例において、ルックアップテーブル121は、バッテリの電圧と基準充電状態(SOCref)及び基準残容量(RMref)との対応表であり、各バッテリの電圧に対応する基準充電状態(SOCref)と基準残容量(RMref)を羅列している。例えば、電圧A1(mV)は基準充電状態B1(%)と基準残容量C1(mA)に対応し、電圧A2(mV)は基準充電状態B2(%)と基準残容量C2(mA)に対応し、…、電圧A(mV)は基準充電状態B(%)と基準残容量C(mA)に対応する等となる。ステップS213では、検出された電圧(V)から電圧閾値(Vth)を減算することで電圧差(V=V-Vth)を取得する。本発明の実施例において、電圧閾値(Vth)は、例えば、SOC 0%に対応する電圧値やSOC 5%に対応する電圧値というように、低い充電状態(SOC)に対応する特定の電圧としてもよい。或いは、本発明の他の実施例において、電圧閾値(Vth)は放電終止電圧(EDV,End of Discharge Voltage)としてもよい。図4に示すように、ステップS215では、現時点の充電状態(SOCnow)を電圧差(V)で除算することで、バッテリ10の放電曲線301における第1の傾き(Slope1)を取得する。また、基準充電状態(SOCref)を電圧差(V)で除算することで第2の傾き(Slope2)を取得する。その後、第1の傾き(Slope1)を第2の傾き(Slope2)で除算することで調整比率(Adj(%))を取得する。続いて、ステップS217において、バッテリ10が放電した電荷容量をクーロン・カウント法でカウントすることで、放電のカウント容量(Count_Dsg)を算出する。そして、放電のカウント容量に調整比率を乗算することで調整値(Adj_Value=Count_Dsg×Adj(%))を取得する。その後、事前に記録されていた残容量(RMprev)から調整値(Adj_Value)を減算すれば、新たな残容量(RMnew=RMprev-Adj_Value)が補償される。再び図2を参照して、バッテリの放電時における残容量調整手順S21の実行を終えたあと、ステップS205を実行し、補償された残容量(RMnew)を満充電容量(FCC)で除算すれば新たなバッテリの充電状態(SOCnew=RMnew/FCC)が得られる。 As shown in FIG. 3, when the battery 10 is being discharged, the battery capacity prediction program 120 executes the remaining capacity adjusting procedure S21 when the battery is discharged. First, in step S211 the processor 11 detects the voltage (V X ) of the battery 10 by the voltage detection circuit 15, and based on the detected voltage (V X ), the corresponding reference charge state (SOC) is obtained from the look-up table 121. Search for ref ). In the embodiment of the present invention, the look-up table 121 is a correspondence table between the voltage of the battery and the reference charge state (SOC ref ) and the reference remaining capacity (RM ref ), and the reference charge state (reference charge state) corresponding to the voltage of each battery. SOC ref ) and standard remaining capacity (RM ref ) are listed. For example, the voltage A1 (mV) corresponds to the reference charge state B1 (%) and the reference remaining capacity C1 (mA), and the voltage A2 (mV) corresponds to the reference charge state B2 (%) and the reference remaining capacity C2 (mA). Then, ..., the voltage AN (mV) corresponds to the reference charge state BN (%) and the reference remaining capacity CN (mA). In step S213, the voltage difference (V d = V X −V th ) is acquired by subtracting the voltage threshold value (V th ) from the detected voltage (V X ). In an embodiment of the invention, the voltage threshold ( Vth ) is a specific voltage corresponding to a low state of charge (SOC), for example, a voltage value corresponding to 0% SOC or a voltage value corresponding to 5% SOC. May be. Alternatively, in another embodiment of the present invention, the voltage threshold value ( Vth ) may be the discharge end voltage (EDV, End of Discharge Voltage). As shown in FIG. 4, in step S215, the first slope (Slope 1) in the discharge curve 301 of the battery 10 is acquired by dividing the current state of charge (SOC now ) by the voltage difference (V d ). Further, the second slope (Slope 2) is acquired by dividing the reference charge state (SOC ref ) by the voltage difference (V d ). Then, the adjustment ratio (Adj (%)) is obtained by dividing the first slope (Slope1) by the second slope (Slope2). Subsequently, in step S217, the discharge count capacity (Count_Dsg) is calculated by counting the charge capacity discharged by the battery 10 by the Coulomb counting method. Then, the adjustment value (Adj_Value = Count_Dsg × Adj (%)) is acquired by multiplying the discharge count capacity by the adjustment ratio. After that, if the adjustment value (Adj_Value) is subtracted from the pre-recorded remaining capacity (RM prev ), the new remaining capacity (RM new = RM prev -Adj_Value) is compensated. With reference to FIG. 2 again, after the execution of the remaining capacity adjusting procedure S21 at the time of discharging the battery is completed, the step S205 is executed, and the compensated remaining capacity (RM new ) is divided by the full charge capacity (FCC). If so, a new battery charge state (SOC new = RM new / FCC) can be obtained.

上述したように、バッテリの使用過程では、大電流の放電や苛酷な環境に起因して充電状態(SOC)の予測に誤差が生じることが多い。そこで、第1の傾き(Slope1)が第2の傾き(Slope2)よりも大きい場合には、現時点の充電状態が実際の充電状態よりも高くなっているため、事前に記録されていた残容量(RMprev)から大きな調整値(Adj_Value)を減算する。反対に、第1の傾き(Slope1)が第2の傾き(Slope2)よりも小さい場合には、現時点の充電状態が実際の充電状態よりも低くなっているため、事前に記録されていた残容量(RMprev)から小さな調整値(Adj_Value)を減算する。このように、バッテリ10の放電過程で速やかに残容量(RM)を調整することで、予測されるバッテリの充電状態(SOC)をいっそう正確とすることができる。 As mentioned above, in the process of using the battery, an error is often generated in the prediction of the state of charge (SOC) due to the discharge of a large current or the harsh environment. Therefore, when the first inclination (Slope1) is larger than the second inclination (Slope2), the current charging state is higher than the actual charging state, so that the remaining capacity recorded in advance (Slope1). The large adjustment value (Adj_Value) is subtracted from RM prev ). On the contrary, when the first inclination (Slope1) is smaller than the second inclination (Slope2), the current charging state is lower than the actual charging state, and the remaining capacity recorded in advance is recorded. A small adjustment value (Adj_Value) is subtracted from (RM prev ). In this way, by rapidly adjusting the remaining capacity (RM) in the process of discharging the battery 10, the predicted state of charge (SOC) of the battery can be made more accurate.

ステップS203に戻り、バッテリ10の電流(I)が0よりも大きいとプロセッサ11により判断された場合、バッテリ容量予測プログラム120は、バッテリの充電時における残容量カウント手順S23を実行する。バッテリの充電時における残容量カウント手順S23では、バッテリ10に充電されている電荷容量をクーロン・カウント法でカウントすることで、充電のカウント容量(Count_chg)を算出する。そして、事前に記録されていた残容量(RMprev)に充電のカウント容量(Count_chg)を加算すれば、新たな残容量(RMnew=RMprev+Count_chg)が得られる。その後、バッテリの充電時における残容量カウント手順S23の実行を終えると、ステップS205を実行し、新たな残容量(RMnew)を満充電容量(FCC)で除算すれば新たなバッテリの充電状態(SOCnew)が得られる。 Returning to step S203, when the processor 11 determines that the current (I) of the battery 10 is larger than 0, the battery capacity prediction program 120 executes the remaining capacity counting procedure S23 at the time of charging the battery. In the remaining capacity counting procedure S23 at the time of charging the battery, the charge capacity (Count_chg) of charging is calculated by counting the charge capacity charged in the battery 10 by the Coulomb counting method. Then, by adding the charge count capacity (Count_chg) to the pre-recorded remaining capacity (RM prev ), a new remaining capacity (RM new = RM prev + Count_chg) can be obtained. After that, when the execution of the remaining capacity counting procedure S23 at the time of charging the battery is completed, step S205 is executed, and the new remaining capacity (RM new ) is divided by the full charge capacity (FCC) to obtain a new battery charge state (FCC). SOC new ) is obtained.

次に、ステップS201に戻り、バッテリ10の電流(I)又は平均電流(Iavg)が0であるとプロセッサ11により判断された場合、バッテリ10は非充放電状態にあるため、バッテリ容量予測プログラム120は、バッテリの静態時における残容量補正手順S25を実行する。図5に示すように、静態時における残容量補正手順S25では、まず、ステップS251において、プロセッサ11が電圧検出回路15によりバッテリ10の電圧(V)を検出し、検出された電圧(V)に基づいて、ルックアップテーブル121から対応する基準残容量(RMref)を検索する。ステップS253において、プロセッサ11は、事前に記録されていた残容量(RMprev)が基準残容量(RMref)よりも大きいか否かを判断する。事前に記録されていた残容量(RMprev)が基準残容量(RMref)よりも小さい場合には、残容量(RMprev)を更新せずに再びステップS201に戻り、バッテリ10の電流(I)又は平均電流(Iavg)が0か否かをプロセッサ11により引き続き判断する。反対に、事前に記録されていた残容量(RMprev)が基準残容量(RMref)よりも大きい場合には、ステップS255を実行し、事前に記録されていた残容量(RMprev)について自家消費容量(self-consumption capacity)の控除手順を少なくとも1回実行することで、新たな残容量(RMnew=RMprev-Self_con)を取得する。その後、新たな残容量(RMnew)が基準残容量(RMref)よりも小さくなるまでステップS253及びS255を引き続き実行する。本発明において、自家消費容量(Self_con)とは残容量の自己修正値であり、例えば1mAh又はその他の数値といった小さな単位の数値である。自家消費容量(Self_con)控除手順が完了し、且つ新たな残容量(RMnew)が基準残容量(RMref)よりも小さくなると、新たな残容量(RMnew)を記憶ユニット12に記録する。そして、再びステップS201に戻り、バッテリ10の電流(I)又は平均電流(Iavg)が0か否かをプロセッサ11により引き続き判断する。このように、記録される残容量(RMnew)を自家消費容量(Self_con)により複数回補正することで、記録される残容量(RMnew)をルックアップテーブル121において対応する基準残容量(RMref)に徐々に近付けることができる。その後、静態時における残容量補正手順S25の実行を終えると、ステップS205を実行し、新たな残容量(RMnew)を満充電容量(FCC)で除算すれば新たなバッテリの充電状態(SOCnew)が得られる。 Next, returning to step S201, when the processor 11 determines that the current (I) or the average current (I avg ) of the battery 10 is 0, the battery 10 is in a non-charged / discharged state, so that the battery capacity prediction program 120 executes the remaining capacity correction procedure S25 in the static state of the battery. As shown in FIG. 5, in the remaining capacity correction procedure S25 in the static state, first, in step S251, the processor 11 detects the voltage (V X ) of the battery 10 by the voltage detection circuit 15, and the detected voltage (V X ). ), The corresponding reference remaining capacity (RM ref ) is searched from the look-up table 121. In step S253, the processor 11 determines whether or not the pre-recorded remaining capacity (RM prev ) is larger than the reference remaining capacity (RM ref ). If the pre-recorded remaining capacity (RM rev ) is smaller than the reference remaining capacity (RM ref ), the process returns to step S201 again without updating the remaining capacity (RM rev ), and the current (I) of the battery 10 is reached. ) Or whether the average current (I avg ) is 0 or not is continuously determined by the processor 11. On the contrary, if the pre-recorded remaining capacity (RM prev ) is larger than the reference remaining capacity (RM ref ), step S255 is executed and the pre-recorded remaining capacity (RM prev ) is self-contained. By executing the deduction procedure of the consumption capacity (self-consumption capacity) at least once, a new remaining capacity (RM new = RM prev -Self_con) is acquired. After that, steps S253 and S255 are continuously executed until the new remaining capacity (RM new ) becomes smaller than the reference remaining capacity (RM ref ). In the present invention, the self-consumed capacity (Self_con) is a self-correcting value of the remaining capacity, and is a numerical value in a small unit such as 1 mAh or another numerical value. When the self-consumption capacity (Self_con) deduction procedure is completed and the new remaining capacity (RM new ) becomes smaller than the reference remaining capacity (RM ref ), the new remaining capacity (RM new ) is recorded in the storage unit 12. Then, the process returns to step S201 again, and the processor 11 continues to determine whether or not the current (I) or the average current (I avg ) of the battery 10 is 0. In this way, by correcting the recorded remaining capacity (RM new ) multiple times by the self-consumed capacity (Self_con), the recorded remaining capacity (RM new ) is adjusted to the corresponding reference remaining capacity (RM) in the look-up table 121. You can gradually get closer to ref ). After that, when the execution of the remaining capacity correction procedure S25 in the static state is completed, step S205 is executed, and if the new remaining capacity (RM new ) is divided by the full charge capacity (FCC), the new battery charge state (SOC new ) is executed. ) Is obtained.

また、本発明の一実施例では、図6に示すように、満充電容量(FCC)の更新手順を更に含む。満充電容量(FCC)の更新手順では、まずステップS271において、バッテリ10の電圧(V)が電圧閾値(Vth)以下か否かをプロセッサ11により判断する。電圧閾値(Vth)は、放電終止電圧(EDV)としてもよい。電圧(V)が電圧閾値(Vth)以下でない場合にはステップS272を実行し、満充電更新フラグ(FCC_Update_Flag)を0に設定して満充電容量(FCC)の更新を停止する。反対に、電圧(V)が電圧閾値(Vth)以下の場合には引き続きステップS273を実行し、バッテリ10の電流(I)が0より小さいか否かを判断する。バッテリ10の電流(I)が0より小さい場合にはステップS272に戻り、満充電容量(FCC)の更新を停止する。反対に、バッテリ10の電流(I)が0より小さくない場合には、満充電更新フラグ(FCC_Update_Flag)を1に設定し、満充電容量(FCC)の更新手順S28の実行を開始する。満充電容量(FCC)の更新手順S28では、ステップS281において、バッテリ10に充電されている電荷容量をクーロン・カウント法でカウントすることで充電のカウント容量(Count_chg)を算出する。そして、事前に記録されていた残容量(RMprev)に充電のカウント容量(Count_chg)を加算することで新たな残容量(RMnew=RMprev+Count_chg)を取得する。続いて、ステップS282において、バッテリ10が満充電か否かを判断する。バッテリ10が満充電状態の場合にはステップS283を実行し、新たな残容量(RMnew)を新たな満充電容量(FCCnew=RMnew)として更新する。反対に、バッテリ10が満充電でない場合にはステップS273に戻り、バッテリ10の電流(I)が0より小さいか否かを判断して、満充電容量(FCC)の更新手順S28を引き続き実行するか否かを決定する。このように、満充電容量(FCC)を更新することで、より正確なバッテリの充電状態(SOC)を予測可能となる。 Further, in one embodiment of the present invention, as shown in FIG. 6, a procedure for updating the full charge capacity (FCC) is further included. In the procedure for updating the full charge capacity (FCC), first, in step S271, the processor 11 determines whether or not the voltage (V X ) of the battery 10 is equal to or less than the voltage threshold (V th ). The voltage threshold value ( Vth ) may be the discharge end voltage (EDV). If the voltage (V X ) is not equal to or less than the voltage threshold (V th ), step S272 is executed, the full charge update flag (FCC_Update_Flag) is set to 0, and the full charge capacity (FCC) update is stopped. On the contrary, when the voltage (V X ) is equal to or less than the voltage threshold (V th ), step S273 is continuously executed to determine whether or not the current (I) of the battery 10 is smaller than 0. If the current (I) of the battery 10 is less than 0, the process returns to step S272 and the update of the full charge capacity (FCC) is stopped. On the contrary, when the current (I) of the battery 10 is not smaller than 0, the full charge update flag (FCC_Update_Flag) is set to 1, and the execution of the full charge capacity (FCC) update procedure S28 is started. In the full charge capacity (FCC) update procedure S28, in step S281, the charge capacity (Count_chg) is calculated by counting the charge capacity charged in the battery 10 by the Coulomb counting method. Then, a new remaining capacity (RM new = RM prev + Count_chg) is acquired by adding the charge count capacity (Count_chg) to the previously recorded remaining capacity (RM prev ). Subsequently, in step S282, it is determined whether or not the battery 10 is fully charged. When the battery 10 is in a fully charged state, step S283 is executed, and the new remaining capacity (RM new ) is updated as a new fully charged capacity (FCC new = RM new ). On the contrary, if the battery 10 is not fully charged, the process returns to step S273, determines whether the current (I) of the battery 10 is smaller than 0, and continues the full charge capacity (FCC) update procedure S28. Decide whether or not. By updating the full charge capacity (FCC) in this way, it becomes possible to predict the state of charge (SOC) of the battery more accurately.

本発明におけるバッテリの放電時における充電状態予測曲線と、従来技術におけるバッテリの放電時における充電状態予測曲線を示す図7を参照する。図7に示すように、従来の技術では、電圧ルックアップ法のみでバッテリの放電時における充電状態(SOC)を予測しており、その場合の予測結果は曲線303のようになる。前記曲線303は線形の曲線である。また、電圧ルックアップ法のみでバッテリの放電時における充電状態(SOC)を予測する場合には、大電流の放電又は苛酷な環境条件に起因して充電状態(SOC)の予測に誤差が生じやすい。バッテリの電気量が過大評価され、且つその充電状態(SOC)が低いレベルにある場合、放電を続けると充電状態(SOC)がそのまま0%まで急低下する恐れがある。例えば、曲線303において、バッテリの電気量が過大評価され、且つ10%という低い充電状態(SOC)にある場合、バッテリが放電を続けると、バッテリの充電状態(SOC)が10%から0%まで瞬時に急低下する結果、バッテリを電力とする電子機器が予告なしに運転を停止してしまう。 FIG. 7 shows a charge state prediction curve when the battery is discharged in the present invention and a charge state prediction curve when the battery is discharged in the prior art. As shown in FIG. 7, in the conventional technique, the state of charge (SOC) at the time of discharging the battery is predicted only by the voltage lookup method, and the prediction result in that case is as shown in the curve 303. The curve 303 is a linear curve. Further, when the charge state (SOC) at the time of discharging the battery is predicted only by the voltage lookup method, an error is likely to occur in the prediction of the charge state (SOC) due to the discharge of a large current or harsh environmental conditions. .. If the amount of electricity in the battery is overestimated and its state of charge (SOC) is at a low level, the state of charge (SOC) may drop sharply to 0% if discharging is continued. For example, in curve 303, if the amount of electricity in the battery is overestimated and is in a low state of charge (SOC) of 10%, the state of charge (SOC) of the battery goes from 10% to 0% as the battery continues to discharge. As a result of the sudden drop, battery-powered electronic devices stop operating without notice.

本発明では、バッテリ容量予測プログラム120がバッテリの放電時における充電状態(SOC)を予測する。この場合の予測結果は曲線305のようになる。また、前記曲線305は放物線状をなす。図7を例にすると、本発明におけるバッテリ容量予測プログラム120は、不正確な残容量(RM)及び充電状態(SOC)を調整する。バッテリ10の充電状態(SOC)が40%以下まで放電されたとき、曲線305上の充電状態(SOC)は線形の曲線303上の充電状態(SOC)と比較して明らかに調整されている。このように、本発明では、バッテリ容量予測プログラム120によってバッテリの充電状態(SOC)を速やかに調整する。そのため、バッテリ10が低い充電状態(SOC)にある場合に放電を続けても、バッテリの充電状態(SOC)が瞬時に0%まで急低下することがない。例えば、バッテリ10は、放電過程において充電状態(SOC)が10%から瞬時に0%まで急低下することがないため、バッテリ10を電力として使用する電子機器の運転上の安全性及び安定性が向上する。 In the present invention, the battery capacity prediction program 120 predicts the state of charge (SOC) when the battery is discharged. The prediction result in this case is as shown in the curve 305. Further, the curve 305 has a parabolic shape. Taking FIG. 7 as an example, the battery capacity prediction program 120 in the present invention adjusts an inaccurate remaining capacity (RM) and charge state (SOC). When the charge state (SOC) of the battery 10 is discharged to 40% or less, the charge state (SOC) on the curve 305 is clearly adjusted as compared to the charge state (SOC) on the linear curve 303. As described above, in the present invention, the state of charge (SOC) of the battery is quickly adjusted by the battery capacity prediction program 120. Therefore, even if the battery 10 is in a low charge state (SOC) and continues to be discharged, the charge state (SOC) of the battery does not suddenly drop to 0%. For example, since the state of charge (SOC) of the battery 10 does not suddenly drop from 10% to 0% in the discharging process, the operational safety and stability of the electronic device using the battery 10 as electric power are improved. improves.

以上は本発明の好ましい実施例にすぎず、本発明の実施範囲を限定するものではない。即ち、本発明の特許請求の範囲に記載する形状、構造、特徴及び精神に基づきなされる等価の変形及び補足は、いずれも本発明の特許請求の範囲に含まれる。 The above is merely a preferred embodiment of the present invention and does not limit the scope of implementation of the present invention. That is, the equivalent modifications and supplements made based on the shapes, structures, features and spirits described in the claims of the present invention are all included in the claims of the present invention.

100 電子機器
10 バッテリ
11 プロセッサ
12 記憶ユニット
120 バッテリ容量予測プログラム
121 ルックアップテーブル
13 表示ユニット
14 電流検出回路
15 電圧検出回路
301 曲線
303 曲線
305 曲線
100 Electronic equipment 10 Battery 11 Processor 12 Storage unit 120 Battery capacity prediction program 121 Look-up table 13 Display unit 14 Current detection circuit 15 Voltage detection circuit 301 Curve 303 Curve 305 Curve

Claims (6)

バッテリを有する電子機器に用いられるバッテリの充電状態の予測方法であって、
前記バッテリの電流が0より小さいと判断された場合、前記バッテリの放電時における残容量調整手順を実行するステップを含み、
前記バッテリの放電時における残容量調整手順を実行するステップとして、
前記バッテリの電圧を検出し、
検出された前記バッテリの電圧に基づいて、ルックアップテーブルから対応する基準充電状態を検索し、
検出された前記バッテリの電圧から電圧閾値を減算することで電圧差を取得し、
現時点の充電状態を前記電圧差で除算することで第1の傾きを取得し、
前記基準充電状態を前記電圧差で除算することで第2の傾きを取得し、
前記第1の傾きを前記第2の傾きで除算することで調整比率を取得し、
前記バッテリが放電した電荷容量をクーロン・カウント法でカウントすることで放電のカウント容量を算出し、
前記放電のカウント容量に前記調整比率を乗算することで調整値を取得し、
事前に記録されていた残容量から前記調整値を減算することで新たな残容量を予測し、
前記新たな残容量を満充電容量で除算することで新たなバッテリの充電状態を予測する方法。
A method for predicting the state of charge of a battery used in an electronic device having a battery.
If it is determined that the current of the battery is less than 0, the step including executing the step of adjusting the remaining capacity at the time of discharging the battery is included.
As a step of executing the remaining capacity adjustment procedure when the battery is discharged,
Detecting the voltage of the battery,
Based on the detected voltage of the battery, the look-up table is searched for the corresponding reference charge state.
The voltage difference is obtained by subtracting the voltage threshold value from the detected voltage of the battery.
The first slope is obtained by dividing the current state of charge by the voltage difference.
The second slope is obtained by dividing the reference charge state by the voltage difference.
The adjustment ratio is obtained by dividing the first slope by the second slope.
The discharge count capacity is calculated by counting the charge capacity discharged by the battery by the Coulomb counting method.
The adjustment value is obtained by multiplying the discharge count capacity by the adjustment ratio.
A new remaining capacity is predicted by subtracting the adjustment value from the remaining capacity recorded in advance.
A method of predicting the state of charge of a new battery by dividing the new remaining capacity by the full charge capacity.
更に、満充電容量の更新手順を含み、前記満充電容量の更新手順のステップとして、
検出された前記バッテリの電圧が前記電圧閾値以下か否かを判断し、
前記バッテリの電圧が前記電圧閾値以下でない場合には前記満充電容量の更新手順を停止し、前記バッテリの電圧が前記電圧閾値以下の場合には前記バッテリの電流が0より小さいか否かを引き続き判断し、
前記バッテリの電流が0より小さい場合には前記満充電容量の更新手順を停止し、前記バッテリの電流が0より小さくない場合には前記満充電容量の更新手順の実行を開始し、
前記満充電容量の更新手順を実行するステップとして、
前記バッテリに充電されている前記電荷容量を前記クーロン・カウント法でカウントすることで充電のカウント容量を算出し、且つ、前記事前に記録されていた残容量に前記充電のカウント容量を加算することで新たに記録する残容量を取得し、
前記バッテリが満充電状態か否かを判断し、満充電状態の場合には前記新たに記録する残容量を前記満充電容量として更新し、満充電状態でない場合には、前記バッテリの電流が0より小さいか否かを判断するステップに戻る請求項1に記載のバッテリの充電状態の予測方法。
Further, as a step of the procedure for updating the full charge capacity, including the procedure for updating the full charge capacity,
It is determined whether or not the detected voltage of the battery is equal to or less than the voltage threshold value.
If the voltage of the battery is not equal to or less than the voltage threshold, the procedure for updating the full charge capacity is stopped, and if the voltage of the battery is equal to or less than the voltage threshold, whether or not the current of the battery is smaller than 0 is continued. Judge,
If the current of the battery is less than 0, the procedure for updating the full charge capacity is stopped, and if the current of the battery is not less than 0, the execution of the procedure for updating the full charge capacity is started.
As a step of executing the procedure for updating the full charge capacity,
The charge capacity is calculated by counting the charge capacity charged in the battery by the Coulomb counting method, and the charge count capacity is added to the pre-recorded remaining capacity. By doing so, you can get the remaining capacity to be newly recorded.
It is determined whether or not the battery is in a fully charged state, and if it is in a fully charged state, the newly recorded remaining capacity is updated as the fully charged capacity, and if it is not in a fully charged state, the current of the battery is 0. The method for predicting the state of charge of a battery according to claim 1, which returns to the step of determining whether or not the battery is smaller.
更なるステップとして、
前記バッテリの電流又は平均電流が0か否かを判断し、
前記バッテリの電流又は平均電流が0の場合には、バッテリの静態時における残容量補正手順を実行し、前記バッテリの電流又は前記平均電流が0でない場合には前記バッテリが充電又は放電しており、
前記バッテリの静態時における残容量補正手順を実行するステップとして、
前記バッテリの電圧を検出し、
検出された前記バッテリの電圧に基づいて、前記ルックアップテーブルから対応する基準残容量を検索し、
前記事前に記録されていた残容量が前記基準残容量よりも大きいか否かを判断し、前記事前に記録されていた残容量が前記基準容量よりも小さい場合には、前記バッテリの電流又は平均電流が0か否かを判断するステップに再び戻り、前記事前に記録されていた残容量が前記基準残容量よりも大きい場合には、前記新たな残容量が前記基準残容量よりも小さくなるまで、前記事前に記録されていた残容量からの自家消費容量の減算によって前記新たな残容量の更新を繰り返す自家消費容量控除手順を実行し、前記自家消費容量控除手順が完了すると、再び前記バッテリの電流又は平均電流が0か否かを判断するステップに戻る請求項1に記載のバッテリの充電状態の予測方法。
As a further step
Judging whether or not the current or average current of the battery is 0,
When the current or the average current of the battery is 0, the remaining capacity correction procedure in the static state of the battery is executed, and when the current of the battery or the average current is not 0, the battery is charged or discharged. ,
As a step of executing the remaining capacity correction procedure in the static state of the battery,
Detecting the voltage of the battery,
Based on the detected voltage of the battery, the corresponding reference remaining capacity is searched from the look-up table.
It is determined whether or not the pre-recorded remaining capacity is larger than the reference remaining capacity, and if the pre-recorded remaining capacity is smaller than the reference remaining capacity, the battery is used. Returning to the step of determining whether the current or the average current is 0, if the pre-recorded remaining capacity is larger than the reference remaining capacity, the new remaining capacity is larger than the reference remaining capacity. When the self-consumption capacity deduction procedure is executed by repeating the update of the new remaining capacity by subtracting the self-consumption capacity from the pre-recorded remaining capacity until the value becomes smaller, and the self-consumption capacity deduction procedure is completed. The method for predicting the state of charge of the battery according to claim 1, wherein the process returns to the step of determining whether or not the current or the average current of the battery is 0.
更に、
前記バッテリの電流が0よりも大きいと判断された場合、バッテリの充電時における残容量カウント手順を実行するステップを含み、
前記バッテリの充電時における残容量カウント手順を実行するステップとして、
前記バッテリに充電されている前記電荷容量を前記クーロン・カウント法でカウントすることで充電のカウント容量を算出し、
前記事前に記録されていた残容量に前記充電のカウント容量を加算することで前記新たな残容量を取得し、
前記新たな残容量を前記満充電容量で除算することで前記新たなバッテリの充電状態を予測する請求項1に記載のバッテリの充電状態の予測方法。
In addition,
If it is determined that the current of the battery is greater than 0, it includes a step of performing a remaining capacity counting procedure when charging the battery.
As a step of executing the remaining capacity counting procedure at the time of charging the battery,
The charge capacity is calculated by counting the charge capacity charged in the battery by the Coulomb counting method.
The new remaining capacity is obtained by adding the charge count capacity to the previously recorded remaining capacity.
The method for predicting a battery charge state according to claim 1, wherein the new remaining capacity is divided by the full charge capacity to predict the charge state of the new battery.
前記電圧閾値は、低い充電状態に対応する電圧又は放電終止電圧である請求項1に記載のバッテリの充電状態の予測方法。 The method for predicting the state of charge of a battery according to claim 1, wherein the voltage threshold is a voltage corresponding to a low charge state or a discharge end voltage. 前記ルックアップテーブルは、前記バッテリの電圧と前記基準充電状態及び前記基準残容量との対応表である請求項3に記載のバッテリの充電状態の予測方法。 The method for predicting a battery charge state according to claim 3, wherein the look-up table is a correspondence table between the voltage of the battery, the reference charge state, and the reference remaining capacity.
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