How to distinguish the contributions of Vp and Vps.
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- Milo Montgomery
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1 How to distinguish the contributions of Vp and Vps.
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5 Load Box Test Current is injected at this point in the circuit (at the transformer) by a load box load, and measured on all of the paths leaving the transformer.
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8 Test Load
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11 0.75 Volts 3.5 Volts 0.8 Volts 2.8 Volts
12 K (Vps) = 21 % K(Vp) = 26%
13 Example
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17 From the Load Box Test Rt = 0.23 Ohms Rf = 0.93 Ohms Rp = 0.32 Ohms K = 28 % ΔCR =74%
18 From V-Drop Test 0.25 Volts 12.8 A 0.05 Volts 0.02 Volts K(Vps) = 20% 0.2 Volts
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20 K (Vps) = 20% K(Vp) = 28% x 0.20 (Vps) = 0.11 Volts 1.7 x 0.28 (Vs) = 0.48 Volts 0.48 V V = 0.37 Volts Vcc max measured = Volts
21 Example
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25 From the Load Box Test Rt = 0.18 Ohms Rf = 0.97 Ohms Rp = 0.25 Ohms K = 21 % ΔCR =90%
26 From V-Drop Test 3.75 Volts 11.5 A 0.56 Volts 1.62 Volts K(Vps) = 15% 2.16 Volts
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28 K (Vps) = 15% K(Vp) = 21% 5.8 x 0.15 (Vps) = 0.87 Volts 2.5 x 0.21 (Vp) = 0.53 Volts 0.87 V V = 1.4 Volts But Vcc max measured = 0.91 Volts
29 Vps affecting Vp Vps Impact on Vp 43 % Thus Vps of 5.8 V impacts Vp by 2.5 V 2.5 V x 21% = V 0.53V = 0.97 V
30 After Connector Fixed
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34 From the Load Box Test Rt = 0.16 Ohms Rf = 0.88 Ohms Rp = 0.20 Ohms K = 21 % ΔCR =80%
35 From V-Drop Test 0.35 Volts 12.6 A 0.09 Volts 0.07 Volts K(Vps) = 21% 0.26 Volts
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37 K (Vps) = 26% K(Vp) = 21% 0.13 x 0.26 (Vps) = 0.03 Volts 1.24 x 0.21 (Vp) = 0.26 Volts 0.03 V V = 0.29 Volts Vcc max measured = 0.27 Volts
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43 Example #2
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48 From the Load Box Test Rt = 0.28 Ohms Rf = 1.68 Ohms Rp = 0.32 Ohms K = 38 % ΔCR =85%
49 From V-Drop Test 0.6 Volts 13.5 A 0.32 Volts 0.03 Volts 0.60 Volts
50 K (Vps) = 53 % K(Vp) = 38% 0.53 x 0.89 (Vps) = 0.47 Volts 0.38 x (Vp) = 0.64 Volts 0.47 V V = 1.11 Volts Vcc max measured = 1.22 Volts
51 From the Voltage Drop Test, almost all of the voltage drop between the transformer and the barn shows up as barn panel to reference rod voltage.
52 From the voltage drop test, a 13.5 Amp load generated a change of 0.32 Volts in the cow contact voltage. Thus a 0.89 Volt drop should generate a Vcc change of 0.89/0.6 x 0.32 = 0.47 Volts
53 0.38 (k factor) x 2.57 Volts (Vs) = 0.98 Volts Vps = 0.89 Volts 100 % of 0.89 Volts =.89 Volts 0.05 % of 0.89 Volts = 0.04 Volts Adjusted Vs without Voltage drop = 1.69 Volts. Adjusted Vp without Voltage drop = 1.69 Volts. Contribution from Vp = 1.69 x 0.38 = 0.64Volts From Vps, 0.89 x 38 % = 0.34 Volts = 0.98 Volts = 1.11 Volts
54 Example #3
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59 From the Load Box Test Rt = 0.12 Ohms Rf = 6.82 Ohms Rp = 0.13 Ohms K = 51 % ΔCR =98%
60 From V-Drop Test 0.90 Volts 12.7 A 0.27 Volts 0.15 Volts 0.76 Volts
61 K (Vps) = 30 % K(Vp) = 51% 0.30 x 0.84 (Vps) = 0.25 Volts 0.51 x 0.41 (Vp) = 0.21 Volts 0.25 V V = 0.46 Volts Vcc max measured = 0.54 Volts
62 From the Voltage Drop Test, 85 % of the voltage drop between the transformer and the barn shows up as barn panel to reference rod voltage. And thus 15 % shows up at as a change in Vp.
63 From the voltage drop test, a 12.7 Amp load generated a Vdrop of 0.9 Volts and a change of 0.27 Volts in the cow contact voltage. Thus a 0.89 Volt drop should generate a Vcc change of about the same in the overnight recording.
64 0.51 (k factor) x 0.7 Volts (Vs) = 0.36 Volts Vps = 0.89 Volts 85 % of 0.89 Volts =.76 Volts 0.15 % of 0.89 Volts = 0.13 Volts Adjusted Vs without Voltage drop = Volts. Adjusted Vp without Voltage drop = Volts. Contribution from Vp = 0.41 X 0.51 = 0.21Volts From Vps, 0.71 x 51 % = 0.36 Volts
65 Example # 4
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70 From the Load Box Test Rt = 0.18 Ohms Rf = 2.25 Ohms Rp = 0.22 Ohms K = 41 % ΔCR =82%
71 From V-Drop Test 0.76 Volts 12.9 A 0.32 Volts 0.06 Volts 0.67 Volts
72 K (Vps) = 42 % K(Vp) = 41% x 0.42 (Vps) = 0.59 Volts 0.22 x 0.41 (Vp) = 0.09 Volts 0.7 V V = 0.68 Volts Vcc max measured = 0.79 Volts
73 Example # 4A
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78 From the Load Box Test Rt = 0.27 Ohms Rf = 7.2 Ohms Rp = 0.28 Ohms K = 48 % ΔCR =98%
79 From V-Drop Test 0.34 Volts 13.4 A 0.17 Volts 0.01 Volts 0.35 Volts
80 K (Vps) = 50 % K(Vp) = 48% 0.74 x 0.5 (Vps) = 0.37Volts x 0.48 (Vp) = 0.19 Volts 0.37 V V = 0.56 Volts Vcc max measured = Volts
81 Example # 5
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86 From the Load Box Test Rt = 0.15 Ohms Rf = 1.5 Ohms Rp = 0.16 Ohms K = 30 % ΔCR =91%
87 From V-Drop Test 1.53 Volts A 0.40 Volts 0.3 Volts 1.3 Volts
88 K (Vps) = 26 % K(Vp) = 30% 1.66 x 0.26 (Vps) = 0.43Volts 0.57 x 0.30 (Vp) = 0.17 Volts 0.61 V V = 0.60 Volts Vcc max measured = 0.56 Volts
89 Example # 6
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94 From the Load Box Test Rt = 0.23 Ohms Rf = 1.12 Ohms Rp = 0.27 Ohms K = 18 % ΔCR =83%
95 From V-Drop Test 0.32 Volts 13.7 A 0.06 Volts 0.06 Volts 0.17 Volts
96 K (Vps) = 30 % K(Vp) = 18% x 0.30 (Vps) = 0.02Volts 1.46 x 0.18 (Vp) = 0.26 Volts 0.26 V V = 0.28 Volts Vcc max measured = Volts
97 On Farm Source, Not Vps
98 Example # 7
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103 From the Load Box Test Rt = 0.18 Ohms Rf = 0.97 Ohms Rp = 0.25 Ohms K = 21 % ΔCR =90%
104 From V-Drop Test 3.75 Volts 11.5 A 0.56 Volts 1.62 Volts 2.16 Volts
105 K (Vps) = 15% K(Vp) = 21% 5.8 x 0.15 (Vps) = 0.87 Volts 2.5 x 0.21 (Vp) = 0.53 Volts 0.87 V V = 1.4 Volts But Vcc max measured = 0.91 Volts
106 Vps affecting Vp Vps Impact on Vp 43 % Thus Vps of 5.8 V impacts Vp by 2.5 V 2.5 V x 21% = V 0.53V = 0.97 V
107 After Connector Fixed
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112 From the Load Box Test Rt = 0.16 Ohms Rf = 0.88 Ohms Rp = 0.20 Ohms K = 21 % ΔCR =80%
113 From V-Drop Test 0.35 Volts 12.6 A 0.09 Volts 0.07 Volts 0.26 Volts
114 K (Vps) = 26% K(Vp) = 21% 0.13 x 0.26 (Vps) = 0.03 Volts 1.24 x 0.21 (Vp) = 0.26 Volts 0.03 V V = 0.29 Volts Vcc max measured = 0.27 Volts
115 Example #1
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119 From the Load Box Test Rt = 0.03 Ohms Rf = 0.2 Ohms Rp = 0.05 Ohms K = 73 % ΔCR =82%
120 From V-Drop Test 0.23 Volts 13 Amps Volts 0.05 Volts 0.18 Volts
121 80 % shows up at the barn pnl 20 % show up at the primary neutral
122 K (Vps) = 59 % K(Vp) = 73% 0.59 x 0.33 (Vps) = 0.19 Volts 0.73 x (Vp) = 0.24 Volts 0.19 V V = 0.43 Volts Vcc max (as measured) = 0.42 Volts
123 Without the voltage drop, Vp would = Vs, and Vcc should be k x Vs (or Vp) So what is the contribution of Vp to the stray voltage levels at the time of highest Vcc?
124 0.73 (k factor) x 0.57 Volts (Vs) = 0.42 Volts Vps = 0.33 Volts 80 % of 0.33 Volts =.24 Volts 20 % of 0.33 Volts = 0.06 Volts Adjusted Vs without Voltage drop = 0.33 Volts. Adjusted Vp without Voltage drop = Volts. Contribution from Vp = Volts Vps x 0.24 x 73 % = 0.18 Volts = 0.42 Volts.
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