Method and system for estimating the insulation resistance between a battery and an electrical earth
A method for estimating insulation resistance between a terminal of a battery and an electrical ground, including: connecting a measuring circuit to one terminal of the battery, the measuring circuit including a resistance of known value and a capacitance; application of a known input signal having an input voltage; measurement of an output voltage between the ground and a point located between the resistance of known value and the capacitance; determination of a complex impedance of a dipole of the capacitance and the insulation resistance or determination of parameters of a differential equation; and determination of the insulation resistance from the parameters of the differential equation or the complex impedance.
1. A method for estimating isolation resistance between a terminal of a battery and an electrical ground, comprising:
connecting an output terminal of a measurement circuit to a terminal of the battery, the measurement circuit comprising a resistance of known value and a capacitance;
applying a known input signal having an input voltage to an input terminal of the measurement circuit;
measuring an output voltage between ground and a point situated between the resistance of known value and the capacitance;
determining parameters of a differential equation connecting the output voltage and the input voltage; and
determining the isolation resistance using the parameters of the differential equation.
2. The method as claimed in claim 1 , further comprising determining the capacitance of the measurement circuit using the parameters of the differential equation.
3. The method as claimed in claim 1 , in which the input signal applied is a square-wave signal.
4. The method as claimed in claim 1 , in which the determining the parameters of the differential equation further comprises:
filtering by a first order linear filter of the differential equation to obtain a second equation connecting the filtered input voltage and the filtered output voltage;
determining, using the input voltage, the filtered input voltage;
determining, using the output voltage, the filtered output voltage; and
determining the parameters of the second equation, the parameters of the second equation being equal to the parameters of the differential equation.
5. The method as claimed in claim 4 , in which the measurement of the output voltage is carried out at plural different times and the determination of the parameters of the second equation uses a least squares method with the values at the plural different times of the measured output voltage and of the input voltage.
6. The method as claimed in claim 1 , further comprising a frequency analysis of the output voltage measured at at least one frequency to determine, for at least the frequency, a value of complex impedance, the application of an input signal to the input terminal of the measurement circuit, the measurement of the output voltage, the frequency analysis, and the determination of the value of the complex impedance being performed by a network analyzer.
7. The method as claimed in claim 6 , further comprising digitizing the measured output voltage and the frequency analysis is carried out by a Fourier transform or of a Goertzel filtering of the digitized output voltage.
8. The method as claimed in claim 7 , in which the frequency analysis is performed at a fundamental frequency of the input voltage and/or at two harmonics of the input voltage.
9. A system for estimating isolation resistance between a terminal of a battery and an electrical ground, comprising:
a measurement circuit which comprises an output terminal, an input terminal, a resistance of known value and a capacitance, the output terminal being connected to a terminal of the battery and the input terminal configured to receive a known input signal having an input voltage;
a means of measurement of an output voltage between ground and a point situated between the resistance of known value and the capacitance;
a means of determination of parameters of a differential equation connecting the output voltage and the input voltage; and
a means of determination of the isolation resistance using the parameters of the differential equation.
10. A system for estimating isolation resistance between a terminal of a battery and an electrical ground, comprising:
a first measurement circuit which comprises an output terminal, an input terminal, a resistance of a known value and a capacitance, the output terminal being connected to a terminal of the battery and the input terminal configured to receive a known input signal having an input voltage;
a second measurement circuit that measures an output voltage between ground and a point situated between the resistance of the known value and the capacitance; and
processing circuitry configured to
determine parameters of a differential equation connecting the output voltage and the input voltage, and
determine of the isolation resistance using the parameters of the differential equation.