Method and unit for computing voltage drop divided along factors for battery
First Claim
1. A method for computing a voltage drop divided along a plurality of factors for a battery to supply an electrical power to a load, the voltage drop being due to the factors which are separately analyzed in use of a correlation between a discharge current and a terminal voltage of the battery, the method comprising the steps of:
- measuring cyclically a discharge current and a voltage between a pair of terminals of the battery while a rush current is flowing in the load electrically connected to the pair of terminals, the rush current simply decreasing from a peak to a constant value after the rush current simply increases up to the peak, obtaining a first approximate equation showing the correlation between the current and the voltage in a region where the discharge current is increasing and a second approximate equation showing a correlation between the current and the voltage is obtained in a region where the discharge current is decreasing, and calculating a voltage from each of the first and second approximate equations at a point where the discharge current is zero so that a difference between the two voltages at the point where the discharge current is zero is obtained, wherein the difference is determined to be a total voltage drop due to a concentration polarization of the battery.
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Abstract
A discharge current and a voltage between a pair of terminals of a battery while a rush current is flowing in a load electrically connected to the pair of the terminals. The rush current simply decreases from a peak to a constant value after the rush current simply increases up to the peak. A first approximate equation is provided for showing a correlation between the current and the voltage in a region where the discharge current is increasing. A second approximate equation is provided for showing a correlation between the current and the voltage in a region where the discharge current is decreasing. A voltage from each of the first and second approximate equations at a point where the discharge current is zero is calculated so that a deference between the two voltages at the current zero point is obtained. The difference is determined to be a total voltage drop due to a concentration polarization of the battery. A voltage drop due to the concentration polarization is calculated from the total voltage drop at any point of the discharge current in use of a relation between the concentration polarization voltage drop and the discharge current with a corresponding discharging time.
11 Citations
20 Claims
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1. A method for computing a voltage drop divided along a plurality of factors for a battery to supply an electrical power to a load, the voltage drop being due to the factors which are separately analyzed in use of a correlation between a discharge current and a terminal voltage of the battery, the method comprising the steps of:
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measuring cyclically a discharge current and a voltage between a pair of terminals of the battery while a rush current is flowing in the load electrically connected to the pair of terminals, the rush current simply decreasing from a peak to a constant value after the rush current simply increases up to the peak, obtaining a first approximate equation showing the correlation between the current and the voltage in a region where the discharge current is increasing and a second approximate equation showing a correlation between the current and the voltage is obtained in a region where the discharge current is decreasing, and calculating a voltage from each of the first and second approximate equations at a point where the discharge current is zero so that a difference between the two voltages at the point where the discharge current is zero is obtained, wherein the difference is determined to be a total voltage drop due to a concentration polarization of the battery.
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2. A method for computing a voltage drop divided along a plurality of factors for a battery to supply an electrical power to a load, the voltage drop being due to the factors which are separately analyzed in use of a correlation between a discharge current and a terminal voltage of the battery, the method comprising the steps of:
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measuring cyclically a discharge current and a voltage between a pair of terminals of the battery while a rush current is flowing in the load electrically connected to the pair of terminals, the rush current simply decreasing from a peak to a constant value after the rush current simply increases up to the peak, obtaining a first approximate equation showing the correlation between the current and the voltage in a region where the discharge current is increasing and a second approximate equation showing a correlation between the current and the voltage is obtained in a region where the discharge current is decreasing, calculating a voltage from each of the first and second approximate equations at a point where the discharge current is zero so that a difference between the two voltages at the point where the discharge current is zero is obtained, wherein the difference is determined to be a total voltage drop due to a concentration polarization of the battery, and calculating a voltage drop due to the concentration polarization from the total voltage drop at any point of the discharge current in use of a relation between the concentration polarization voltage drop and the discharge current with a corresponding discharging time, so that the concentration polarization voltage drop is obtained separately from a voltage drop due to the other factors. - View Dependent Claims (3, 4, 9, 10, 11, 12, 13, 14, 15, 16, 17)
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5. A method for computing a voltage drop divided along a plurality of factors for a battery to supply an electrical power to a load, the voltage drop being due to the factors which are separately analyzed in use of a correlation between a discharge current and a terminal voltage of the battery, the method comprising the steps of:
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measuring cyclically a discharge current and a voltage between a pair of terminals of the battery while a rush current is flowing in the load electrically connected to the pair of the terminals, the rush current simply decreasing from a peak to a constant value after the rush current simply increases up to the peak, obtaining a first approximate equation showing the correlation between the current and the voltage in a region where the discharge current is increasing and a second approximate equation showing a correlation between the current and the voltage is obtained in a region where the discharge current is decreasing, calculating a voltage from each of the first and second approximate equations at a point where the discharge current is zero so that a difference between the two voltages at the point where the discharge current is zero is obtained, wherein the difference is determined to be a total voltage drop due to a concentration polarization of the battery, and calculating a voltage drop due to the concentration polarization from the total voltage drop at the peak of the discharge current in use of a proportional relationship between a concentration polarization voltage drop and a corresponding discharging elapsed time, so that the concentration polarization voltage drop is obtained separately from a voltage drop due to the other factors at the peak of the discharge current. - View Dependent Claims (6, 7, 8)
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18. A unit for computing a voltage drop divided along a plurality of factors for a battery to supply an electrical power to a load, the voltage drop being due to the factors which are separately analyzed in use of a correlation between a discharge current and a terminal voltage of the battery, the unit comprising:
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a means for measuring cyclically a discharge current and a voltage between a pair of terminals of the battery while a rush current is flowing in the load electrically connected to the pair of terminals, the rush current simply decreasing from a peak to a constant value after the rush current simply increases up to the peak, a means for obtaining a first approximate equation showing the correlation between the current and the voltage in a region where the discharge current is increasing and a second approximate equation showing a correlation between the current and the voltage is obtained in a region where the discharge current is decreasing, a means for calculating a voltage from each of the first and second approximate equations at a point where the discharge current is zero so that a difference between the two voltages at the point where the discharge current is zero is obtained, wherein the difference is determined to be a total voltage drop due to a concentration polarization of the battery, and a means for calculating a voltage drop due to the concentration polarization from the total voltage drop at any point of the discharge current in use of a relation between the concentration polarization voltage drop and the discharge current with a corresponding discharging time, so that the concentration polarization voltage drop is obtained separately from a voltage drop due to the other factors. - View Dependent Claims (19)
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20. A unit for computing a voltage drop divided along a plurality of factors for a battery to supply an electrical power to a load, the voltage drop being due to the factors which are separately analyzed in use of a correlation between a discharge current and a terminal voltage of the battery, the unit comprising:
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a means for measuring cyclically a discharge current and a voltage between a pair of terminals of the battery while a rush current is flowing in the load electrically connected to the pair of the terminals, the rush current simply decreasing from a peak to a constant value after the rush current simply increases up to the peak, a means for obtaining a first approximate equation showing the correlation between the current and the voltage in a region where the discharge current is increasing and a second approximate equation showing a correlation between the current and the voltage is obtained in a region where the discharge current is decreasing, a means for calculating a voltage from each of the first and second approximate equations at a point where the discharge current is zero so that a difference between the two voltages at the point where the discharge current is zero is obtained, wherein the difference is determined to be a total voltage drop due to a concentration polarization of the battery, and a means for calculating a voltage drop due to the concentration polarization from the total voltage drop at the peak of the discharge current in use of a proportional relationship between the concentration polarization voltage drop and a corresponding discharging time, so that the concentration polarization voltage drop is obtained separately from a voltage drop due to the other factors at the peak of the discharge current.
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Specification