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[]
[null,"Impedance of a single capacitor"]
[]
[null,"  Input data:",null,null,null," "]
[null,"  C capacitance  [F]:",null,null,null,1E-3," ",null,"Chart","Sweep"," "]
[null,"  Rs (ESR) reries resistance  [ohm]:",null,null,null,0.01,null,null,"Fmin","Min","SRF [Hz]"]
[null,"  Skin corner frequency (F_Rs) of Rs [Hz]:",null,null,null,1000000,null,null,1,1,{"$f":"1/(2*PI()*SQRT(L_*C_))","v":71176.254341717693}]
[null,"  L (ESL) series inductance  [H]:",null,null,null,5.0000000000000001E-9,null,null,"Fmax","Max","Q:"]
[null,"  Dielectric loss Df [-]:",null,null,null,0.05,null,null,10000000000,2,{"$f":"2*PI()*Fres*L_/R_","v":0.22360679774997894}]
[null,"  fo frequency for C and Df (F_Df)  [Hz]:",null,null,null,100]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null," ",null,null," "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null," "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null," "," "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null," "]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null," "]
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[null,null,null,null,null,null," ",null," "]
[null,null,null,null,null,null,null," "]
[null,null,null,null,null,null,null," "]
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[null,null,"N_stps","N","N_sweep"]
[null,null,100,1,100]
[null,null,"inc"]
[null,null,{"$f":"10^(LOG(F_mx/F_mn)/(N_stps-1))","v":1.2618568830660204}]
[null,null,null,null,null,null,null,null,null,null,null,null,null," "]
[null,null,null,"[Hz]",null,null,null,null,null,null,null,null,null,"[ohms]"]
[null,null,"n","Frequency","C(f)","Df(f)","G(f)","Ymag","Yphase","Rps","Rs","Rs+Rps","Xcs","|Zc|","Phase"]
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[null,null,98,{"$f":"F_mn*inc_^(C191-1)","v":6280291441.8342571},{"$f":"C_*(1-Df_*LN(D191/F_Df)*(LN(10)/PI()/2))","v":6.7099415077560029E-4},{"$f":"Df_*C_/E191","v":7.4516297857746064E-2},1973011.7456069354,26550995.816651322,85.738406734792946,2.7987753619373684E-9,0.80248289835391762,0.80248290115269294,-3.7559237943896722E-8,197.30280648519076,89.766962209224516]
[null,null,99,{"$f":"F_mn*inc_^(C192-1)","v":7924828983.5391808},{"$f":"C_*(1-Df_*LN(D192/F_Df)*(LN(10)/PI()/2))","v":6.6673241697735679E-4},{"$f":"Df_*C_/E192","v":7.4992603819499112E-2},2489658.4515642161,33291942.038178541,85.711268070968146,2.2462676986116696E-9,0.90021508544503903,0.90021508769130676,-2.9953189837470469E-8,248.96747262776492,89.792829814175093]
[null,null,100,{"$f":"F_mn*inc_^(C193-1)","v":10000000000.000008},{"$f":"C_*(1-Df_*LN(D193/F_Df)*(LN(10)/PI()/2))","v":6.6247068317911318E-4},{"$f":"Df_*C_/E193","v":7.5475038019880841E-2},3141592.6535897958,41742648.183667734,85.683782201449048,1.8029757170832432E-9,1.0100000000000005,1.0100000018029762,-2.3888371101029743E-8,314.16088887034039,89.81579872241457]

{"sheet":"Info","index":1,"n_rows":17,"n_cols":2,"rows_kept":17,"cut":false,"hidden":false,"merged":[]}
[null," File: Lossy-capacitor-model_WExcel2016-32-64b_v04.xlsm  With comments, please contact:"]
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[null," "]
[null,"Application information and hints:"]
[null,"1.,  This file uses dot (.) as separator between the integer and fractional parts of numbers.   Preferences in your Microsoft Excel options must be set or be changed accordingly. "]
[null,"2., Enter your data in the top left area of the Time_harm worksheet.  Select the required input parameter (red) and enter your data in the units shown.  Numbers shown in blue indicate output fields.  It is not suggested to change these fields unless you understand the implications. Grey buttons with green text indicate sweep buttons.  If you click on it, the particular parameter will be swept with respect to its nominal entry, scaled between the Min and Max multiplier fields.                                                                                      "]
[null,"3.,  There is no error checking of most of your entered input data.  Physically invalid input (e.g., negative dielectric constant) may result in meaningless output."]
[null,"4.,   For explanatory information, see the worksheet \"Reference\". For suggested input data to explore, use the Data >> What-if Analysis >> Scenario toolbar."]
[null,"5.,  If Automatic Recalculation is selected in the Options >> Formulas menu, numerical and graphical outputs are automatically updated after each new entry."]
[null,"6.,  On slower computers, deselect Automatic Recalculation, and use manual recalculation by pressing F9."]
[null,"7.,  For best viewing, set the current window to display all input output fields and graphs."]
[null,"8.,  The calculation part of the worksheets can be viewed and changed if necessary below the input/output areas.  To navigate among cells, you can switch back on the Row and Column Headers and Scroll bars in the Options >> Advanced >> Display menu."]
[null,"9., This spreadsheet has been tested on Windows 7 and 10 with 32-bit and 64-bit Excel 2016, with US system settings."]

{"sheet":"Reference","index":2,"n_rows":62,"n_cols":5,"rows_kept":62,"cut":false,"hidden":false,"merged":[]}
[null,"Equivalent circuits, and expressions used on the worksheets"]
[null,"The Single-C worksheet assumes frequency-dependent capacitance and dielectric loss tangent, and frequency-dependent series conductor loss and inductance."]
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[null,"Dielectric loss results in frequency-dependent capacitance and loss tangent.  If C(fo) capacitance and Df(fo) loss tangent are known at a given fo frequency, C(f) and Df(f) can be calculated from the wide-band Debye model as:"]
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[null,"The series resistive losses assume an Rs DC resistance value with an sqrt(f) frequency dependence"]
[null,"with an Fsk skin corner frequency:"]
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[null,"The Multiple-C worksheet assumes frequency-independent capacitance, inductance and resistance for all four banks of capacitors."]
[null,"The complex impedance of the series-equivalent capacitor model:"]
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[null,"The absolute value of the impedance:"]
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[null,"The admittance of capacitor with the components of series equivalent (R, L, C)"]
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[null," "]

{"sheet":"Copyright","index":3,"n_rows":2,"n_cols":2,"rows_kept":2,"cut":false,"hidden":false,"merged":[]}
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[null,"This toolset is copyright, Istvan Novak. All rights reserved. You are hereby granted a limited right to run, copy, and reproduce the toolset for your personal, non-commercial purposes only. By using the file(s), you acknowledge not to run, show or disseminate in any way the toolset in full or in part at public or commercial presentations without the express written consent of the author."]