To find the capacitance C, we first need to know the electric field between the plates. A real capacitor is finite in size. Thus, the electric field lines at the edge of the plates are not straight lines, and the field is not contained entirely between the plates.
Utilizing the least mean square (LMS) algorithm to estimate the ESR and the capacitance of the capacitor and by comparing this with the initial capacitor values at the current operating temperature, the health status of the system can be deduced.
When an electric potential difference (a voltage) is applied across the terminals of a capacitor, for example when a capacitor is connected across a battery, an electric field develops across the dielectric, causing a net positive charge to collect on one plate and net negative charge to collect on the other plate.
To see how this happens, suppose a capacitor has a capacitance C 0 when there is no material between the plates. When a dielectric material is inserted to completely fill the space between the plates, the capacitance increases to is called the dielectric constant. In the Table below, we show some dielectric materials with their dielectric constant.
This can be seen in the motion of the electric field lines as they move from the edge to the center of the capacitor. As the potential difference between the plates increases, the sphere feels an increasing attraction towards the top plate, indicated by the increasing tension in the field as more field lines "attach" to it.
When using Equivalent Series Resistance (ESR) as a primary indicator for condition monitoring the error varies with a minimum error of 1.2 % and a maximum error of 10 % in literature. On the other hand, the error range for determining the capacitance of a capacitor is between 0.18 % and 7.2 %.
OverviewHistoryTheory of operationNon-ideal behaviorCapacitor typesCapacitor markingsApplicationsHazards and safety
In electrical engineering, a capacitor is a device that stores electrical energy by accumulating electric charges on two closely spaced surfaces that are insulated from each other. The capacitor was originally known as the condenser, a term still encountered in a few compound names, such as the condenser microphone. It is a passive electronic component with two terminals.