Circuit design apparatus, backup power supply, circuit design program, and capacitor energy amount calculation method
A circuit design apparatus includes a storage that stores a first capacitance of a capacitor associated with one or more usage conditions, and a controller that controls an amount of energy of the capacitor under a specified usage condition of the one or more usage conditions. The controller calculates a second capacitance under the specified usage condition based on a first relationship between the specified usage condition and the first capacitance, and calculates the amount of energy of the capacitor based on the calculated second capacitance.
1. A circuit design apparatus comprising:
a storage that stores a first capacitance of a capacitor associated with one or more usage conditions; and
a controller that controls an amount of energy of the capacitor under a specified usage condition of the one or more usage conditions; wherein
the controller calculates a second capacitance under the specified usage condition based on a first relationship between the specified usage condition and the first capacitance, and calculates the amount of energy of the capacitor based on the calculated second capacitance.
2. The circuit design apparatus according to claim 1 , wherein the controller calculates the second capacitance under the specified usage condition using an approximate expression derived from the first relationship.
3. The circuit design apparatus according to claim 2 , wherein
the storage includes a database that registers the approximate expression for which one or more pieces of information specifying capacitor characteristics are set as search keys; and
the controller acquires the approximate expression from the database by using a specified one of the pieces of information as a search key.
4. The circuit design apparatus according to claim 3 , wherein the pieces of information include at least one of an identifier and a material of the capacitor.
5. The circuit design apparatus according to claim 1 , wherein the one or more usage conditions include at least one of a voltage applied to the capacitor, a period for which the voltage is applied, and a temperature at which the voltage is applied.
6. The circuit design apparatus according to claim 1 , wherein the controller calculates the amount of energy by calculating a sum of products of a voltage and a charge in a period from a discharge start time to a discharge end time at the capacitor using a second relationship between a voltage applied to the capacitor and a charge stored in the capacitor which is derived from the first relationship.
7. The circuit design apparatus according to claim 6 , wherein
the controller calculates the amount of energy per capacitor; and
the controller calculates a required number of capacitors for a power supply based on the amount of energy per capacitor.
8. The backup power supply according to claim 1 , wherein the capacitor is a multi-layer ceramic capacitor.
9. The circuit design apparatus according to claim 1 , wherein the amount of energy is obtained by integrating pieces of data on charges stored in the capacitor from a discharge start voltage to a discharge end voltage of the capacitor.
10. The circuit design apparatus according to claim 1 , wherein an approximate value of the amount of energy is calculated by adding all areas of rectangles Rn (=ΔQ·Vn) from a discharge start voltage to a discharge end voltage of the capacitor where a discharged charge Q from the discharge start voltage to the discharge end voltage is sectioned at intervals ΔQ and a voltage Vn corresponds to an integral multiple of ΔQ and an area of each rectangle Rn (=ΔQ·Vn) has a vertical side corresponding to the voltage Vn and a horizontal side corresponding to the interval ΔQ.
11. A capacitor energy amount calculation method for a circuit design apparatus including a storage that stores a first capacitance of a capacitor associated with one or more usage conditions and a controller that controls an amount of energy of the capacitor under a specified usage condition of the one or more usage conditions, the capacitor energy amount calculation method being performed by the controller and comprising:
calculating a second capacitance under the specified usage condition based on a first relationship between the specified usage condition and the first capacitance; and
calculating the amount of energy of the capacitor based on the calculated second capacitance.
12. The method according to claim 11 , wherein the controller calculates the second capacitance under the specified usage condition using an approximate expression derived from the first relationship.
13. The method according to claim 12 , wherein
the storage includes a database that registers the approximate expression for which one or more pieces of information specifying capacitor characteristics are set as search keys; and
the controller acquires the approximate expression from the database by using a specified one of the pieces of information as a search key.
14. The method according to claim 13 , wherein the pieces of information include at least one of an identifier and a material of the capacitor.
15. The method according to claim 11 , wherein the one or more usage conditions include at least one of a voltage applied to the capacitor, a period for which the voltage is applied, and a temperature at which the voltage is applied.
16. The method according to claim 11 , wherein the controller calculates the amount of energy by calculating a sum of products of a voltage and a charge in a period from a discharge start time to a discharge end time at the capacitor using a second relationship between a voltage applied to the capacitor and a charge stored in the capacitor which is derived from the first relationship.
17. The method according to claim 16 , wherein
the controller calculates the amount of energy per capacitor; and
the controller calculates a required number of capacitors for a power supply based on the amount of energy per capacitor.
18. The method according to claim 11 , wherein the capacitor is a multi-layer ceramic capacitor.
19. The method according to claim 11 , wherein the amount of energy is obtained by integrating pieces of data on charges stored in the capacitor from a discharge start voltage to a discharge end voltage of the capacitor.
20. The method according to claim 11 , wherein an approximate value of the amount of energy is calculated by adding all areas of rectangles Rn (=ΔQ·Vn) from a discharge start voltage to a discharge end voltage of the capacitor where a discharged charge Q from the discharge start voltage to the discharge end voltage is sectioned at intervals ΔQ and a voltage Vn corresponds to an integral multiple of ΔQ and an area of each rectangle Rn (=ΔQ·Vn) has a vertical side corresponding to the voltage Vn and a horizontal side corresponding to the interval ΔQ.