The invention relates to a method for determining an
insulation resistance (R1, R2) and a
discharge capacitance (C1, C2) to earth (PE) of an unearthed DC power supply
system, wherein a
linear differential equation is implemented with a measured
voltage (UM(k)) as a function of the measurement
voltage (UG(k)) and the
grid voltage (UN(k)) and with grid parameters (θi) formed from the shunts (RM), from the insulation resistances (R1, R2) to be determined and from the
discharge capacitances (C1, C2) to be determined. N linear differential equations are used to implement (S5) a measured value equation
system with the sample sequences (UG(k), UN(k), UM(k)) and the grid parameters (θi) for k=1, 2 to N measurement times with the sampling period T. The other method steps comprise computing (S6) estimated grid parameters (θi) as an approximation solution for the measured value equation
system, a sum of the square errors between the grid parameters (I) and the estimated grid parameters (θi) being minimized, minimizing (S7) the sum of the square errors by way of QR breakdown of a measured value matrix (Ψ), the QR breakdown being computed recursively, computing (S8) the respective
insulation resistance (R1, R2) and the respective
discharge capacitance (C1, C2) from the estimated grid parameters (I) and continually repeating the method steps with the respective computed, estimated grid parameters (I) to incorporate the samples available for the present measurement time.