MODELLING AND SIMULATION OF ADAPTIVE DIGITAL AC BRIDGE FOR IMPEDANCE MEASUREMENTS

S. Edward Ra jan,∗ P.S. Kannan,∗∗ K. Muneeswaran,∗∗∗ and T. Revathi∗∗∗

References

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  11. [11] A.M. Law & W.D. Kelton, Simulation modelling and analysis (Europe: McGraw Hill, 2000). Appendix Theoretical calculation of reactance: Error voltage (e) is given by e = V xZr Zx + Zr − V rZx Zx + Zr 22 For RC network: Reference impedance Zr = R Unknown impedance Zx = 1 sC Zr (Zx + Zr) = R (1/sC + Rt) = sCR (sCR + 1) = s (s + 1/RC) Similarly: Zx (Zx + Zr) = 1/sC (1/sC + R) = 1 sCR + 1 = 1 RC/(s + 1/RC) For example: Rr = 1KΩ, C = 10 µF Therefore: Zr (Zx + Zr) = s (s + 100) Zx (Zx + Zr) = 100 (s + 100) Calculated value of capacitive reactance Xx: Xx = − 1 ω c =− 1 2 π f c =− 1 2 × π × 50 × 0.00001 Xx = −318.3098 Ω.

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