<content> POINTS PER DECADE FOR LOOP VERSION </content>

0aa89e35-a212-4eea-9dcb-190774e87c87 190 Reg Curry 4 5 false false false 0 3 decimal

&[DATE] &[TIME] - &[FILENAME]

TDFD COUPLING TO TM-LINE BY HEMP

TSTART 1 time :

POINTS PER DECADE SNIPPET

MUST DEFINE THE FOLLOWING PARAMETERS BEFORE INSERTING THE SNIPPET

NUMBER OF POINTS PER DECADE = NPD:

DECADE GRID SIZE

POWER OF START POINT = NFS

POWER OF END POINT = NFF

TOTAL NUMBER OF POINS = Nt

NFS NFF NPD PPD Δ 9.9 1 - NPD / : i 1 NPD range j 1 NFF NFS - (range FF i j el 1 i Δ * + (10 j NFS + 1 - (^* : for for ColF.1 FF 1 col : V ColF.1 : i 2 FF cols ((range V V FF i col stack : for V 61 line : eval

Points/Decade = \[REGION[a3f8880d470b4ac1b8cecf7170d84d3b]]\

NPD 20 :

Power of Starting Point \[REGION[357c6d8746054ffb842c987c57526766]]\

NFS 10 - :

Power of End Point \[REGION[727193870e134db7a24464029b6b4bba]]\

NFF 3 :

t NFS NFF NPD PPD eval :

t length 260

t max 9.9 102^*

t min 1.45 1010 -^*

k 1 t length range :

Nt t length :

Nt 2.6 102^*

READ HEMP DATA INCLUDING E1,E2, AND E3

Data2 1.0560 1010 -^* 9.2081 1003 -^* 1.5222 1010 -^* 1.9204 1001 -^* 1.9171 1010 -^* 3.4992 1000 +^* 2.6366 1010 -^* 2.8364 1001 +^* 2.8930 1010 -^* 1.1706 1002 +^* 3.7986 1010 -^* 4.8310 1002 +^* 5.4561 1010 -^* 1.9938 1003 +^* 1.1215 1009 -^* 6.2812 1003 +^* 2.7586 1009 -^* 1.9789 1004 +^* 5.6663 1009 -^* 4.4484 1004 +^* 1.1630 1008 -^* 7.1354 1004 +^* 2.8532 1008 -^* 6.6697 1004 +^* 5.3457 1008 -^* 5.4470 1004 +^* 1.0938 1007 -^* 2.1171 1004 +^* 1.9560 1007 -^* 7.6912 1003 +^* 3.1952 1007 -^* 1.9938 1003 +^* 6.2448 1007 -^* 4.8310 1002 +^* 1.3991 1006 -^* 2.8152 1002 +^* 3.4292 1006 -^* 1.7551 1002 +^* 9.1961 1006 -^* 1.1706 1002 +^* 2.1567 1005 -^* 1.0228 1002 +^* 4.4215 1005 -^* 9.5600 1001 +^* 1.0842 1004 -^* 7.2978 1001 +^* 1.9423 1004 -^* 5.9600 1001 +^* 2.9059 1004 -^* 3.7156 1001 +^* 5.6868 1004 -^* 1.6529 1001 +^* 8.1276 1004 -^* 6.8728 1000 +^* 1.0169 1003 -^* 6.0048 1000 +^* 1.8233 1003 -^* 7.3527 1000 +^* 2.4984 1003 -^* 1.1024 1001 +^* 3.5781 1003 -^* 1.1794 1001 +^* 4.8973 1003 -^* 1.0305 1001 +^* 6.6979 1003 -^* 6.4242 1000 +^* 1.0017 1002 -^* 3.2708 1000 +^* 1.3083 1002 -^* 1.1883 1000 +^* 1.5589 1002 -^* 1.6779 1001 -^* 1.6974 1002 -^* 1.9348 1002 -^* 1.8511 1002 -^* 4.6882 1003 -^* 2.1138 1002 -^* 1.9494 1003 -^* 3.4600 1002 -^* 1.3002 1003 -^* 5.9270 1002 -^* 1.1360 1003 -^* 1.8770 1000 +^* 9.9253 1004 -^* 2.6924 1000 +^* 2.2312 1003 -^* 3.3732 1000 +^* 3.5789 1003 -^* 3.5321 1000 +^* 6.1415 1003 -^* 4.2298 1000 +^* 8.6070 1003 -^* 5.5368 1000 +^* 8.6070 1003 -^* 7.2424 1000 +^* 6.1415 1003 -^* 9.4678 1000 +^* 3.3453 1003 -^* 1.1841 1001 +^* 2.3870 1003 -^* 1.7721 1001 +^* 1.7032 1003 -^* 2.6547 1001 +^* 1.9494 1003 -^* 3.3269 1001 +^* 3.5789 1003 -^* 4.3600 1001 +^* 6.1415 1003 -^* 5.4600 1001 +^* 8.0452 1003 -^* 7.8161 1001 +^* 7.0292 1003 -^* 1.2798 1002 +^* 5.3659 1003 -^* 1.9144 1002 +^* 3.1269 1003 -^* 2.5038 1002 +^* 2.0855 1003 -^* 3.2717 1002 +^* 9.2774 1004 -^* 3.5748 1002 +^* 5.4063 1004 -^* 4.2708 1002 +^* 2.5729 1004 -^* 4.9669 1002 +^* 8.0000 1005 -^* 5.6629 1002 +^* 5.0000 1005 -^* 8.0000 1002 +^* 2.0000 1005 -^* 1.0000 1003 +^* 1.0000 1005 -^* 662 mat :

Data2 1.0560 1010 -^* 9.2081 103 -^* 1.5222 1010 -^* 0.1920 1.9171 1010 -^* 3.4992 2.6366 1010 -^* 28.3640 2.8930 1010 -^* 117.0600 3.7986 1010 -^* 483.1000 5.4561 1010 -^* 1.9938 103^* 72 mat

Etime Data2 1 col :

Edata Data2 2 col :

<content> LINEAR INTERPOLATION TO FIT DATA </content>

UNLIKE MATHCAD; interp(x,y,c) only returns values of y at x=c, a program is required to fill a vector say linterp(a,b,c) Thus the following requirement.

a b c linterp2 n c length : result n Zeros : i 1 n range result i el a b c i el linterp : for result 41 line :

YYL Etime Edata t linterp2 eval :

YFIT t YYL augment eval :

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Data2 YFIT 2 1 sys

MAKE DATA THE DRIVING FIELD: \[REGION[69cd32875d2b4bdcaf7476bbb5e1675f]]\

EE YFIT 2 col :

CABLE PARAMETERS FOR TDFD COUPLING TO BURIED CABLE

σ.g 1103 -^* :

μ.o 4 π * 107 -^* :

σ.c 5.8 107^* :

c 3108^* :

ε.rg 16 :

ε.o 1 μ.o c 2^* / :

a.o 102 -^:

ε.g ε.rg ε.o * :

Ncell 20 :

Δz 100 :

Lz Ncell Δz * :

Lz 2103^*

Do Time Iteration:

k 1 Nt 1 - (range :

Δt k el k 1 ≤ t k el t k el t k 1 - el - if :

Criterion Δz c / eval :

k length 259

Criterion max 3.333 107 -^*

Rc k el 1 π a.o 2^* σ.c * / :

Rs k el μ.o 4 π * t k el * / :

R k el Rc k el Rs k el + :

δ k el 2 t k el * μ.o σ.g * / sqrt :

δ k el δ k el 0 ≤ 1.0000 a.o * 0 δ k el < (δ k el Lz < (& δ k el Lz if if :

Lg k el μ.o 2 π * / δ k el a.o / ln * :

L k el Lg k el :

Gg k el 2 π * σ.g * δ k el a.o / ln / :

CCg k el 2 π * ε.g * δ k el a.o / ln / :

δ max 2103^*

ZT.0 1 :

ZT.Ncell 1 :

Approximation to incident E-field reflection terms at the ground surface by substituting 1/t for iω to get the net driving field.

Refl k el 2 μ.o t k el / σ.g ε.g t k el / - (* sqrt * c μ.o * σ.g ε.g t k el / - (* μ.o t k el / σ.g ε.g t k el / - (* sqrt + / eval :

Net Driving Field for the TM Line

E k el EE k el Refl k el * Re :

E max 1.98 104^*

E min 7.783 1011 -^*

<content> TDFD COUPLED ROUTINE NEW </content>

COUPLED TDFD ROUTINE

Ans AI VG Ncell Nt matrix : (: k 2 Nt 1 - (range j 1 Ncell range j 1 ≤ ΔI AI j k 1 - el eval : ΔI AI j k 1 - el AI j 1 - k 1 - el - eval : if j 1 ≡ VG AI ZT.0 * eval : j Ncell ≡ VG AI ZT.Ncell * eval : VG j k el VG j k 1 - el ΔI Δz / Δt k el CCg k el / * - 1 Δt k el CCg k el / Gg k el * + / eval : if if 21 line for VT VG : n 1 Ncell 1 - (range ΔV VT n 1 + k el VG n k el - : AI n k el AI n k 1 - el Δt k el L k el / E k el ΔV Δz / - (* + 1 Δt k el L k el / R k el * + / eval : 21 line for 31 line for 11 line VT AI 21 mat 31 line : eval

Initialize to Zero

Time Loop on k

Spatial Loop on j for Voltage

Currents From Previous Time k-1

Votage at End Point Terminations ZT

Voltage at Remaining Cable Points

Spatial Loop on n for Current

Voltages at Present Time k

Current at Point n and Present Time k

Ans1 Ans eval :

V Ans1 1 el eval :

I Ans1 2 el eval :

Ans1 rows 2

Ans1 cols 1

Current I Ncell 2 / k el transpose eval :

Current max 1.47 103^*

t length 260

Current length 259

k 1 t length 1 - (range tt k el t k el : for

Iplot tt Current augment :

tt max 945.50

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