Waveforms
CE distortion
CC distortion
Sheet1BJT SimulatorUses of the simulator:The following are
simulated:bjt_simulator.xlsxwritten by Kenneth A. Kuhn Nov. 24,
2013ver. 1.0With this simulator the student can perform a variety
of experiments and observe results that*Correct value of Is and VBE
at simulation temperature.are close to what would be seen with
laboratory measurements. Examples of experiments:*Beta increase
with simulation temperature.This spreadsheet simulates the
operation of common-emitter and common-collector NPN BJT*Confirm a
hand analysis or design for either common-emitter or
common-collector.*Large signal non-linear collector and emitter
currents.amplifier circuits using a single power supply voltage and
standard voltage divider biasing,*Explore the effects of adjusting
resistor values.*Collector-emitter voltage saturation -- not
perfect but adequate.RB1 and RB2, with an emitter resistor, RE,
collector resistor, RC, and an AC coupled shunt*Observe the effects
of temperature on a given circuit.resistor, RE1, in shunt with RE
for setting common-emitter gain. The simulation does not*Test a
design for temperature stability by observing VCQ at two
temperatures.The following are not simulated:distinguish between
common-emitter and common-collector circuits and the result
is*Observe the effect of beta variation on a given circuit.*The
Early effect.determined by the user selected components. Some
circuits could be simultaneously both.*Test a design for beta
independence by observing VCQ at high and low beta.*Beta variation
with current.*Test designs for highest gain small signal
output.*Beta variation with collector-emitter voltage or in
saturation.For simplicity not every aspect is simulated but the
nonlinear results are fairly close to true.*Test designs for large
signal output with least distortion.*Forward conduction of
base-collector junction from high amplitude Vsignal.This
spreadsheet is intended to be an easy to use learning tool for
students.*Observe how output becomes non-linear as signal amplitude
increases.*Variation of VBE with collector-emitter
voltage.*Explore/verify optimum bias levels for maximum linear
output signal swing.Instructions:*Explore/verify optimum bias
levels as a function of load resistance.Simulation method:User
input cells are in bold red italic with light green background.
Other cells are protected.*Explore the distortion resulting in
overdriving the input.The dynamic simulation is performed by
replacing the capacitors with DC voltage sourcesSignificant
calculation results are shown in bold green.One interesting circuit
known as a phase splitter is simultaneously a common-emitter
andadjusted so that DC currents are true when Vsignal is zero. This
works with good accuracySee Waveforms tab for detailed result. A
small plot is shown on this sheet.common-collector circuit with the
outputs phase inverted. The voltage gain is set to be lessprovided
that the input, Vsignal, is not excessively high in amplitude so
that DC operatingThis spreadsheet is best used on a wide-screen
monitor with zoom set to ~100%.than 1.0, typically in the 0.9
range, and the two outputs, one from the collector and one
frompoints are significantly altered. The resistance associated
with each of the modified sources,the emitter are designed to have
identical amplitudes. What would be RE1 in a common-VBB', VEE', and
VCC' is the AC Thevinin equivalent. Then, when Vsignal is at zero,
the DCNPN Transistor physical data:emitter amplifier is the load
resistance for the non-inverinting output. One design goal is
toconditions of the circuit are exactly per the normal analysis
calculations. The dynamic voltages1.3806E-23Joules/kelvin, k,
Boltzmann's constantdetermine the optimum bias voltages for VCQ and
VEQ that maximize linear signal swing."see" the AC resistances and
those compute correctly as well. 1.6022E-19q, magnitude of electron
chargeComments:1n, junction constant (typically 1.0 for
transistors)This parameter is user adjustable but you will probably
always use 1.0.Simulation sequence for each point in
time:1.24volts, Eg, bandgap voltage, typically 1.24This parameter
is user adjustable but you will probably always use 1.24.1Vsignal =
Thevinized Vsignal source (in figure)Reference operating point to
calculate transistor parameters (data sheet/measured values):2VA =
sum of modified DC bias voltages plus Vsignal0.67volts, VBE at
specified (below) emitter current and temperatureThese three
parameters inform the simulation as to how to "build" the
transistor.3VBE = true value using Newton iteration on VA and
R0.001amperes, specified emitter IEQYou can enter data taken from a
specific transistor of interest (or from data sheet).4IE (dyn.)
computed using VBE in exponential equation25deg. C, junction
temperature at which above measurements madeThe standard values of
VBE= 0.67 at an emitter current of 1 mA at 25C (2N3904 typical)5VE
(dyn.) computed using modified VEE and RE||RE1Calculations:work
well for most applications.6VC (raw) computed using modified VCC,
IE (dyn.), and RC||RL298.15kelvins, temperature7VC (dyn.) = larger
of VC (raw) or VE (dyn.) plus VCE_sat0.0257volts, VT, thermal
voltageThe point of these calculations is to determine IK which is
a temperature independent constant.8VB (dyn.) computed by adding
VEQ (dyn.) to VBE4.7278E-15amperes, Is at above temperatureIK is
used to determine the value of reverse saturation current, Is, at
the simulation4.3151E+6amperes, IK = Is /
exp(-Eg/(nVT))temperature.About the BJT Simulation plot:dVBE/dT
calculation:*There are four horizontal lines for reference
representing VCC, VCQ, VBQ and VEQ.26deg. C, different
temperatureThe result of these calculations is the temperature
sensistivity of the forward biasedThese lines make it easy to see
the quiescent operating voltages.299.15kelvinsbase-emitter junction
in the simulation. This is provided for reference only and is not
used0.0258VT at different temperatureanywhere in the simulation.
The value only applies to the test current above. For
different*Observe that for small signal linear operation that
waveforms are symmetrical0.6681VBE at different temperatureemitter
currents the value will change a bit but will always be in the
general region ofabout the quiescent lines. Asymmetry will be
observed for large signals.-0.001912dVBE/dT(for reference, at above
current, not used in the simulation)negative 2 mV per C.Operating
data to specific transistor:Measuring distortion:150Beta at 25
C*The distortion waveform is the difference between the actual
output and an30deg. C, temperature of simulationTransistor
parameters, beta and Is, in the model will be adjusted for the user
specifiedextrapolated undistorted sine wave -- based on small
signal gain.153.750Temperature adjusted betatemperature.*The
definition of harmonic distortion is (Vdrms / Vfrms) *
100%.154.750B+1*Vdrms is the rms voltage of the distortion
waveform.0.994B/(B+1)*Vfrms is the rms voltage of the sine wave
fundamental.0.2VCEsat -- use nominally 0.2 volts -- distinguishs VC
& VE on plot when in saturation.This parameter is real and also
aids in reading the waveform plots in separating VC (dyn)
from*Note: rms and standard deviation are the same thing.VE (dyn)
when the transistor is in voltage saturation.*Note: A well trained
eye can barely detect 3% distortion in a sine waveform.Circuit
description and operating conditions (see figure):0.25Vrms, Vsignal
open circuit sine wave12VCC, power supply voltage600RS, source
resistance of input signal12,000RB1, base bias resistor to
VCC1,600RB2, base bias resistor to ground1,000RC, collector
resistor to VCC100RE, emitter resistor to groundAC coupled
resistors that relate to CE or CC amplifiers. For open use
10,000,000 ohms.1,500RL for CE amplifiers, open for CC
amplifiers68RE1 for CE amplifiers, RL for CC amplifiersAnalysis:
First establish transistor characteristic at given
temperature0.0261VT0.0261nVT10.48E-15Is
=IK*exp(-Eg/nVT)401.17E-15Is/nVTAnalysis: Next determine bias
condition1.412VBB1,412RB109.123RE + RB/(B+1)Use Newton's method to
establish true VBE at given temperature and
currentIteration:12345678VBE:0.7270.7140.7100.7090.7090.7090.7090.709Analysis:
Continue bias condition calculations0.709VBE from 8th iteration
aboveThese are the standard small signal analytical
calculations.0.644VEQ0.006439IEQ5.602VCQ (raw)0.006398ICQ5.602VCQ
for simulationVCQ is modified if the above calculations place it in
an impossible region (less than VE).1.353VBQ0.000042IBQWith this
modification the simulation can still provide good (if not perfect)
results.Bias in active region.Analysis: Prepare for impedance and
gain calculations4.057resmall signal dynamic emitter
resistance421RS||RB -- (RB') -- signal Thevinin
resistance40.476RE||RE1 -- (RE')600RC||RL -- (RC')Small signal
calculations for
common-emitter:1,172Rin6,891rbt1,000Ro-22.310AvThese are the
standard small signal analysis calculations. By definition it is
assumed that-13.386Avldistortion is negligibly small (well under
1%).139.972Pgain21.460dB PgainThe following results are valid for
small or large signal.2.210Vrms delivered to load0.003257Watts
delivered to loadThis is the true rms voltage (small or large
signal) delivered to the load.2.913% distortionThis is the true
power delivered to the load.0.053vbe_peak-peak (for low distortion
this should be less than 0.020)This is the distortion of the sine
wave voltage to the load. See CE distortion tab for waveform.Small
signal calculations for
common-collector:1,172Rin6,891rbt6.348Ro421RS||RB6.778retThese are
the standard small signal analysis calculations. By definition it
is assumed that0.961Avdistortion is negligibly small (well under
1%).0.909Avl14.235Pgain11.534dB PgainThe following results are
valid for small or large signal.0.213Vrms delivered to loadThis is
the true rms voltage (small or large signal) delivered to the
load.0.000664Watts delivered to loadThis is the true power
delivered to the load.2.913% distortionThis is the distortion of
the sine wave voltage to the load. See CC distortion tab for
waveform.0.053vbe_peak-peak (for low distortion this should be less
than 0.020)Simulation pre calculations0.175439Vrms, signal
Thevinin0.248108Vsignal Thevinin peak -- used for generating
applied sine wave1.371VBB' = VBQ + IBQ*RB'Modified VBB for AC
simulation0.383VEE' = VEQ - IEQ*RE'Modified VEE for AC
simulation9.441VCC' = VCQ + ICQ*RC'Modified VCC for AC
simulation0.987VBB' - VEE'43.197R = RE' + RB'/(B+1)The resistance,
R, used in Newton's method to determine the true
VBE.0.02314973031/RReciprocal of R for convenience in Newton's
method.200samples per
cycle1000Hz6283.1853071796w0.000005dtSimulation: Output is on
Waveforms tab and above plotThese cells are most of the simulation
calculationsThese cells are used for the CE distortion waveform
tabThese cells are used for the CC distortion waveform
tabMax:8.5141.5860.862Max:0.7250.012Min:2.3971.1180.446Min:0.6720.002-3.1302.913%distorion0.21252092022.913%distorionVpp:6.1170.4680.415Newton
iterationsVpp:0.0530.0102.1752.2100.064Vrms0.1480.1500.004VrmsTimeVCCVCQVC
(dyn.)VBQVB (dyn.)VEQVE (dyn.)VsignalVAVBE1VBE2VBE3VBE4VBE5IE
(dyn.)VC (raw)TimeVC (dyn.)Sine ref.DistortionVsignalVE (dyn.)Sine
ref.Distortion0.00000012.0005.6025.6021.3531.3530.6440.64400.9870.7090.7090.7090.7090.7090.0064395.6020.0000000.0000.0000.0000.0000000.0000.0000.0000.00000512.0005.6025.5041.3531.3600.6440.6510.0080.9950.7090.7100.7100.7100.7100.0066045.5040.000005-0.098-0.098-0.0000.0000050.0070.0070.0000.00001012.0005.6025.4051.3531.3680.6440.6570.0161.0030.7100.7100.7100.7100.7100.0067705.4050.000010-0.197-0.197-0.0000.0000100.0130.0130.0000.00001512.0005.6025.3071.3531.3750.6440.6640.0231.0110.7100.7110.7110.7110.7110.0069355.3070.000015-0.295-0.295-0.0010.0000150.0200.0200.0000.00002012.0005.6025.2081.3531.3820.6440.6710.0311.0180.7110.7120.7120.7120.7120.0071005.2080.000020-0.394-0.392-0.0020.0000200.0270.0270.0000.00002512.0005.6025.1101.3531.3900.6440.6770.0391.0260.7120.7120.7120.7120.7120.0072655.1100.000025-0.492-0.490-0.0020.0000250.0330.0330.0000.00003012.0005.6025.0121.3531.3970.6440.6840.0461.0340.7120.7130.7130.7130.7130.0074295.0120.000030-0.590-0.586-0.0040.0000300.0400.0400.0000.00003512.0005.6024.9151.3531.4040.6440.6910.0541.0410.7130.7130.7130.7130.7130.0075934.9150.000035-0.688-0.683-0.0050.0000350.0470.0460.0000.00004012.0005.6024.8181.3531.4110.6440.6970.0621.0490.7130.7140.7140.7140.7140.0077554.8180.000040-0.784-0.778-0.0060.0000400.0530.0530.0000.00004512.0005.6024.7221.3531.4180.6440.7040.0691.0560.7140.7140.7140.7140.7140.0079174.7220.000045-0.881-0.873-0.0080.0000450.0600.0590.0010.00005012.0005.6024.6261.3531.4250.6440.7100.0771.0640.7140.7150.7150.7150.7150.0080774.6260.000050-0.976-0.967-0.0090.0000500.0660.0660.0010.00005512.0005.6024.5311.3531.4320.6440.7170.0841.0710.7150.7160.7160.7160.7160.0082364.5310.000055-1.071-1.060-0.0110.0000550.0730.0720.0010.00006012.0005.6024.4371.3531.4390.6440.7230.0911.0790.7160.7160.7160.7160.7160.0083934.4370.000060-1.165-1.152-0.0130.0000600.0790.0780.0010.00006512.0005.6024.3451.3531.4460.6440.7290.0991.0860.7160.7170.7160.7160.7160.0085494.3450.000065-1.258-1.243-0.0150.0000650.0850.0840.0010.00007012.0005.6024.2531.3531.4530.6440.7360.1061.0930.7160.7170.7170.7170.7170.0087034.2530.000070-1.349-1.333-0.0170.0000700.0920.0900.0010.00007512.0005.6024.1631.3531.4590.6440.7420.1131.1000.7170.7170.7170.7170.7170.0088544.1630.000075-1.440-1.421-0.0190.0000750.0980.0960.0010.00008012.0005.6024.0741.3531.4660.6440.7480.1201.1070.7170.7180.7180.7180.7180.0090044.0740.000080-1.529-1.508-0.0210.0000800.1040.1020.0010.00008512.0005.6023.9861.3531.4720.6440.7540.1261.1140.7180.7180.7180.7180.7180.0091513.9860.000085-1.616-1.593-0.0230.0000850.1100.1080.0020.00009012.0005.6023.9001.3531.4780.6440.7600.1331.1200.7180.7190.7190.7190.7190.0092953.9000.000090-1.702-1.677-0.0250.0000900.1160.1140.0020.00009512.0005.6023.8161.3531.4840.6440.7650.1391.1270.7190.7190.7190.7190.7190.0094373.8160.000095-1.787-1.759-0.0270.0000950.1210.1190.0020.00010012.0005.6023.7331.3531.4900.6440.7710.1461.1330.7190.7190.7190.7190.7190.0095753.7330.000100-1.869-1.840-0.0300.0001000.1270.1250.0020.00010512.0005.6023.6521.3531.4960.6440.7760.1521.1390.7190.7200.7200.7200.7200.0097113.6520.000105-1.950-1.918-0.0320.0001050.1320.1300.0020.00011012.0005.6023.5731.3531.5020.6440.7820.1581.1450.7200.7200.7200.7200.7200.0098443.5730.000110-2.029-1.995-0.0340.0001100.1380.1350.0020.00011512.0005.6023.4961.3531.5070.6440.7870.1641.1510.7200.7210.7210.7210.7210.0099733.4960.000115-2.107-2.070-0.0370.0001150.1430.1410.0020.00012012.0005.6023.4211.3531.5130.6440.7920.1701.1570.7210.7210.7210.7210.7210.0100993.4210.000120-2.182-2.143-0.0390.0001200.1480.1450.0030.00012512.0005.6023.3481.3531.5180.6440.7970.1751.1630.7210.7210.7210.7210.7210.0102213.3480.000125-2.254-2.213-0.0410.0001250.1530.1500.0030.00013012.0005.6023.2771.3531.5230.6440.8020.1811.1680.7210.7210.7210.7210.7210.0103403.2770.000130-2.325-2.282-0.0440.0001300.1580.1550.0030.00013512.0005.6023.2091.3531.5280.6440.8060.1861.1730.7210.7220.7220.7220.7220.0104553.2090.000135-2.394-2.348-0.0460.0001350.1630.1590.0030.00014012.0005.6023.1431.3531.5330.6440.8110.1911.1780.7220.7220.7220.7220.7220.0105653.1430.000140-2.460-2.412-0.0480.0001400.1670.1640.0030.00014512.0005.6023.0791.3531.5380.6440.8150.1961.1830.7220.7220.7220.7220.7220.0106723.0790.000145-2.523-2.473-0.0500.0001450.1710.1680.0030.00015012.0005.6023.0181.3531.5420.6440.8190.2011.1880.7220.7230.7230.7230.7230.0107753.0180.000150-2.584-2.532-0.0520.0001500.1750.1720.0040.00015512.0005.6022.9591.3531.5460.6440.8230.2051.1920.7230.7230.7230.7230.7230.0108732.9590.000155-2.643-2.589-0.0540.0001550.1790.1760.0040.00016012.0005.6022.9031.3531.5500.6440.8270.2091.1970.7230.7230.7230.7230.7230.0109672.9030.000160-2.699-2.643-0.0560.0001600.1830.1790.0040.00016512.0005.6022.8501.3531.5540.6440.8310.2141.2010.7230.7230.7230.7230.7230.0110562.8500.000165-2.752-2.694-0.0580.0001650.1870.1830.0040.00017012.0005.6022.8001.3531.5580.6440.8340.2171.2050.7230.7230.7230.7230.7230.0111412.8000.000170-2.803-2.743-0.0600.0001700.1900.1860.0040.00017512.0005.6022.7521.3531.5610.6440.8370.2211.2080.7230.7240.7240.7240.7240.0112212.7520.000175-2.851-2.789-0.0620.0001750.1940.1890.0040.00018012.0005.6022.7071.3531.5640.6440.8410.2241.2120.7240.7240.7240.7240.7240.0112962.7070.000180-2.895-2.832-0.0630.0001800.1970.1920.0040.00018512.0005.6022.6651.3531.5670.6440.8430.2281.2150.7240.7240.7240.7240.7240.0113672.6650.000185-2.937-2.873-0.0650.0001850.1990.1950.0040.00019012.0005.6022.6261.3531.5700.6440.8460.2311.2180.7240.7240.7240.7240.7240.0114322.6260.000190-2.977-2.910-0.0660.0001900.2020.1980.0050.00019512.0005.6022.5901.3531.5730.6440.8480.2331.2210.7240.7240.7240.7240.7240.0114932.5900.000195-3.013-2.945-0.0680.0001950.2050.2000.0050.00020012.0005.6022.5571.3531.5750.6440.8510.2361.2230.7240.7240.7240.7240.7240.0115492.5570.000200-3.046-2.977-0.0690.0002000.2070.2020.0050.00020512.0005.6022.5271.3531.5770.6440.8530.2381.2260.7240.7240.7240.7240.7240.0115992.5270.000205-3.076-3.006-0.0700.0002050.2090.2040.0050.00021012.0005.6022.5001.3531.5790.6440.8550.2401.2280.7240.7250.7250.7250.7250.0116442.5000.000210-3.103-3.032-0.0710.0002100.2110.2060.0050.00021512.0005.6022.4761.3531.5810.6440.8560.2421.2290.7250.7250.7250.7250.7250.0116842.4760.000215-3.127-3.055-0.0720.0002150.2120.2070.0050.00022012.0005.6022.4551.3531.5820.6440.8580.2441.2310.7250.7250.7250.7250.7250.0117192.4550.000220-3.147-3.075-0.0730.0002200.2140.2090.0050.00022512.0005.6022.4371.3531.5840.6440.8590.2451.2320.7250.7250.7250.7250.7250.0117492.4370.000225-3.165-3.091-0.0740.0002250.2150.2100.0050.00023012.0005.6022.4231.3531.5850.6440.8600.2461.2330.7250.7250.7250.7250.7250.0117732.4230.000230-3.179-3.105-0.0740.0002300.2160.2110.0050.00023512.0005.6022.4121.3531.5850.6440.8610.2471.2340.7250.7250.7250.7250.7250.0117922.4120.000235-3.191-3.116-0.0750.0002350.2170.2120.0050.00024012.0005.6022.4041.3531.5860.6440.8610.2481.2350.7250.7250.7250.7250.7250.0118052.4040.000240-3.199-3.124-0.0750.0002400.2170.2120.0050.00024512.0005.6022.3991.3531.5860.6440.8610.2481.2350.7250.7250.7250.7250.7250.0118132.3990.000245-3.203-3.128-0.0750.0002450.2180.2120.0050.00025012.0005.6022.3971.3531.5860.6440.8620.2481.2350.7250.7250.7250.7250.7250.0118162.3970.000250-3.205-3.130-0.0750.0002500.2180.2130.0050.00025512.0005.6022.3991.3531.5860.6440.8610.2481.2350.7250.7250.7250.7250.7250.0118132.3990.000255-3.203-3.128-0.0750.0002550.2180.2120.0050.00026012.0005.6022.4041.3531.5860.6440.8610.2481.2350.7250.7250.7250.7250.7250.0118052.4040.000260-3.199-3.124-0.0750.0002600.2170.2120.0050.00026512.0005.6022.4121.3531.5850.6440.8610.2471.2340.7250.7250.7250.7250.7250.0117922.4120.000265-3.191-3.116-0.0750.0002650.2170.2120.0050.00027012.0005.6022.4231.3531.5850.6440.8600.2461.2330.7250.7250.7250.7250.7250.0117732.4230.000270-3.179-3.105-0.0740.0002700.2160.2110.0050.00027512.0005.6022.4371.3531.5840.6440.8590.2451.2320.7250.7250.7250.7250.7250.0117492.4370.000275-3.165-3.091-0.0740.0002750.2150.2100.0050.00028012.0005.6022.4551.3531.5820.6440.8580.2441.2310.7250.7250.7250.7250.7250.0117192.4550.000280-3.147-3.075-0.0730.0002800.2140.2090.0050.00028512.0005.6022.4761.3531.5810.6440.8560.2421.2290.7250.7250.7250.7250.7250.0116842.4760.000285-3.127-3.055-0.0720.0002850.2120.2070.0050.00029012.0005.6022.5001.3531.5790.6440.8550.2401.2280.7250.7250.7250.7250.7250.0116442.5000.000290-3.103-3.032-0.0710.0002900.2110.2060.0050.00029512.0005.6022.5271.3531.5770.6440.8530.2381.2260.7250.7240.7240.7240.7240.0115992.5270.000295-3.076-3.006-0.0700.0002950.2090.2040.0050.00030012.0005.6022.5571.3531.5750.6440.8510.2361.2230.7240.7240.7240.7240.7240.0115492.5570.000300-3.046-2.977-0.0690.0003000.2070.2020.0050.00030512.0005.6022.5901.3531.5730.6440.8480.2331.2210.7240.7240.7240.7240.7240.0114932.5900.000305-3.013-2.945-0.0680.0003050.2050.2000.0050.00031012.0005.6022.6261.3531.5700.6440.8460.2311.2180.7240.7240.7240.7240.7240.0114322.6260.000310-2.977-2.910-0.0660.0003100.2020.1980.0050.00031512.0005.6022.6651.3531.5670.6440.8430.2281.2150.7240.7240.7240.7240.7240.0113672.6650.000315-2.937-2.873-0.0650.0003150.1990.1950.0040.00032012.0005.6022.7071.3531.5640.6440.8410.2241.2120.7240.7240.7240.7240.7240.0112962.7070.000320-2.895-2.832-0.0630.0003200.1970.1920.0040.00032512.0005.6022.7521.3531.5610.6440.8370.2211.2080.7240.7240.7240.7240.7240.0112212.7520.000325-2.851-2.789-0.0620.0003250.1940.1890.0040.00033012.0005.6022.8001.3531.5580.6440.8340.2171.2050.7240.7230.7230.7230.7230.0111412.8000.000330-2.803-2.743-0.0600.0003300.1900.1860.0040.00033512.0005.6022.8501.3531.5540.6440.8310.2141.2010.7230.7230.7230.7230.7230.0110562.8500.000335-2.752-2.694-0.0580.0003350.1870.1830.0040.00034012.0005.6022.9031.3531.5500.6440.8270.2091.1970.7230.7230.7230.7230.7230.0109672.9030.000340-2.699-2.643-0.0560.0003400.1830.1790.0040.00034512.0005.6022.9591.3531.5460.6440.8230.2051.1920.7230.7230.7230.7230.7230.0108732.9590.000345-2.643-2.589-0.0540.0003450.1790.1760.0040.00035012.0005.6023.0181.3531.5420.6440.8190.2011.1880.7230.7230.7230.7230.7230.0107753.0180.000350-2.584-2.532-0.0520.000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.00106012.0005.6024.4371.3531.4390.6440.7230.0911.0790.7160.7160.7160.7160.7160.0083934.4370.001060-1.165-1.152-0.0130.0010600.0790.0780.0010.00106512.0005.6024.3451.3531.4460.6440.7290.0991.0860.7160.7170.7160.7160.7160.0085494.3450.001065-1.258-1.243-0.0150.0010650.0850.0840.0010.00107012.0005.6024.2531.3531.4530.6440.7360.1061.0930.7160.7170.7170.7170.7170.0087034.2530.001070-1.349-1.333-0.0170.0010700.0920.0900.0010.00107512.0005.6024.1631.3531.4590.6440.7420.1131.1000.7170.7170.7170.7170.7170.0088544.1630.001075-1.440-1.421-0.0190.0010750.0980.0960.0010.00108012.0005.6024.0741.3531.4660.6440.7480.1201.1070.7170.7180.7180.7180.7180.0090044.0740.001080-1.529-1.508-0.0210.0010800.1040.1020.0010.00108512.0005.6023.9861.3531.4720.6440.7540.1261.1140.7180.7180.7180.7180.7180.0091513.9860.001085-1.616-1.593-0.0230.0010850.1100.1080.0020.00109012.0005.6023.9001.3531.4780.6440.7600.1331.1200.7180.7190.7190.7190.7190.0092953.9000.001090-1.702-1.677-0.0250.0010900.1160.1140.0020.00109512.0005.6023.8161.3531.4840.6440.7650.1391.1270.7190.7190.7190.7190.7190.0094373.8160.001095-1.787-1.759-0.0270.0010950.1210.1190.0020.00110012.0005.6023.7331.3531.4900.6440.7710.1461.1330.7190.7190.7190.7190.7190.0095753.7330.001100-1.869-1.840-0.0300.0011000.1270.1250.0020.00110512.0005.6023.6521.3531.4960.6440.7760.1521.1390.7190.7200.7200.7200.7200.0097113.6520.001105-1.950-1.918-0.0320.0011050.1320.1300.0020.00111012.0005.6023.5731.3531.5020.6440.7820.1581.1450.7200.7200.7200.7200.7200.0098443.5730.001110-2.029-1.995-0.0340.0011100.1380.1350.0020.00111512.0005.6023.4961.3531.5070.6440.7870.1641.1510.7200.7210.7210.7210.7210.0099733.4960.001115-2.107-2.070-0.0370.0011150.1430.1410.0020.00112012.0005.6023.4211.3531.5130.6440.7920.1701.1570.7210.7210.7210.7210.7210.0100993.4210.001120-2.182-2.143-0.0390.0011200.1480.1450.0030.00112512.0005.6023.3481.3531.5180.6440.7970.1751.1630.7210.7210.7210.7210.7210.0102213.3480.001125-2.254-2.213-0.0410.0011250.1530.1500.0030.00113012.0005.6023.2771.3531.5230.6440.8020.1811.1680.7210.7210.7210.7210.7210.0103403.2770.001130-2.325-2.282-0.0440.0011300.1580.1550.0030.00113512.0005.6023.2091.3531.5280.6440.8060.1861.1730.7210.7220.7220.7220.7220.0104553.2090.001135-2.394-2.348-0.0460.0011350.1630.1590.0030.00114012.0005.6023.1431.3531.5330.6440.8110.1911.1780.7220.7220.7220.7220.7220.0105653.1430.001140-2.460-2.412-0.0480.0011400.1670.1640.0030.00114512.0005.6023.0791.3531.5380.6440.8150.1961.1830.7220.7220.7220.7220.7220.0106723.0790.001145-2.523-2.473-0.0500.0011450.1710.1680.0030.00115012.0005.6023.0181.3531.5420.6440.8190.2011.1880.7220.7230.7230.7230.7230.0107753.0180.001150-2.584-2.532-0.0520.0011500.1750.1720.0040.00115512.0005.6022.9591.3531.5460.6440.8230.2051.1920.7230.7230.7230.7230.7230.0108732.9590.001155-2.643-2.589-0.0540.0011550.1790.1760.0040.00116012.0005.6022.9031.3531.5500.6440.8270.2091.1970.7230.7230.7230.7230.7230.0109672.9030.001160-2.699-2.643-0.0560.0011600.1830.1790.0040.00116512.0005.6022.8501.3531.5540.6440.8310.2141.2010.7230.7230.7230.7230.7230.0110562.8500.001165-2.752-2.694-0.0580.0011650.1870.1830.0040.00117012.0005.6022.8001.3531.5580.6440.8340.2171.2050.7230.7230.7230.7230.7230.0111412.8000.001170-2.803-2.743-0.0600.0011700.1900.1860.0040.00117512.0005.6022.7521.3531.5610.6440.8370.2211.2080.7230.7240.7240.7240.7240.0112212.7520.001175-2.851-2.789-0.0620.0011750.1940.1890.0040.00118012.0005.6022.7071.3531.5640.6440.8410.2241.2120.7240.7240.7240.7240.7240.0112962.7070.001180-2.895-2.832-0.0630.0011800.1970.1920.0040.00118512.0005.6022.6651.3531.5670.6440.8430.2281.2150.7240.7240.7240.7240.7240.0113672.6650.001185-2.937-2.873-0.0650.0011850.1990.1950.0040.00119012.0005.6022.6261.3531.5700.6440.8460.2311.2180.7240.7240.7240.7240.7240.0114322.6260.001190-2.977-2.910-0.0660.0011900.2020.1980.0050.00119512.0005.6022.5901.3531.5730.6440.8480.2331.2210.7240.7240.7240.7240.7240.0114932.5900.001195-3.013-2.945-0.0680.0011950.2050.2000.0050.00120012.0005.6022.5571.3531.5750.6440.8510.2361.2230.7240.7240.7240.7240.7240.0115492.5570.001200-3.046-2.977-0.0690.0012000.2070.2020.0050.00120512.0005.6022.5271.3531.5770.6440.8530.2381.2260.7240.7240.7240.7240.7240.0115992.5270.001205-3.076-3.006-0.0700.0012050.2090.2040.0050.00121012.0005.6022.5001.3531.5790.6440.8550.2401.2280.7240.7250.7250.7250.7250.0116442.5000.001210-3.103-3.032-0.0710.0012100.2110.2060.0050.00121512.0005.6022.4761.3531.5810.6440.8560.2421.2290.7250.7250.7250.7250.7250.0116842.4760.001215-3.127-3.055-0.0720.0012150.2120.2070.0050.00122012.0005.6022.4551.3531.5820.6440.8580.2441.2310.7250.7250.7250.7250.7250.0117192.4550.001220-3.147-3.075-0.0730.0012200.2140.2090.0050.00122512.0005.6022.4371.3531.5840.6440.8590.2451.2320.7250.7250.7250.7250.7250.0117492.4370.001225-3.165-3.091-0.0740.0012250.2150.2100.0050.00123012.0005.6022.4231.3531.5850.6440.8600.2461.2330.7250.7250.7250.7250.7250.0117732.4230.001230-3.179-3.105-0.0740.0012300.2160.2110.0050.00123512.0005.6022.4121.3531.5850.6440.8610.2471.2340.7250.7250.7250.7250.7250.0117922.4120.001235-3.191-3.116-0.0750.0012350.2170.2120.0050.00124012.0005.6022.4041.3531.5860.6440.8610.2481.2350.7250.7250.7250.7250.7250.0118052.4040.001240-3.199-3.124-0.0750.0012400.2170.2120.0050.00124512.0005.6022.3991.3531.5860.6440.8610.2481.2350.7250.7250.7250.7250.7250.0118132.3990.001245-3.203-3.128-0.0750.0012450.2180.2120.0050.00125012.0005.6022.3971.3531.5860.6440.8620.2481.2350.7250.7250.7250.7250.7250.0118162.3970.001250-3.205-3.130-0.0750.0012500.2180.2130.0050.00125512.0005.6022.3991.3531.5860.6440.8610.2481.2350.7250.7250.7250.7250.7250.0118132.3990.001255-3.203-3.128-0.0750.0012550.2180.2120.0050.00126012.0005.6022.4041.3531.5860.6440.8610.2481.2350.7250.7250.7250.7250.7250.0118052.4040.001260-3.199-3.124-0.0750.0012600.2170.2120.0050.00126512.0005.6022.4121.3531.5850.6440.8610.2471.2340.7250.7250.7250.7250.7250.0117922.4120.001265-3.191-3.116-0.0750.0012650.2170.2120.0050.00127012.0005.6022.4231.3531.5850.6440.8600.2461.2330.7250.7250.7250.7250.7250.0117732.4230.001270-3.179-3.105-0.0740.0012700.2160.2110.0050.00127512.0005.6022.4371.3531.5840.6440.8590.2451.2320.7250.7250.7250.7250.7250.0117492.4370.001275-3.165-3.091-0.0740.0012750.2150.2100.0050.00128012.0005.6022.4551.3531.5820.6440.8580.2441.2310.7250.7250.7250.7250.7250.0117192.4550.001280-3.147-3.075-0.0730.0012800.2140.2090.0050.00128512.0005.6022.4761.3531.5810.6440.8560.2421.2290.7250.7250.7250.7250.7250.0116842.4760.001285-3.127-3.055-0.0720.0012850.2120.2070.0050.00129012.0005.6022.5001.3531.5790.6440.8550.2401.2280.7250.7250.7250.7250.7250.0116442.5000.001290-3.103-3.032-0.0710.0012900.2110.2060.0050.00129512.0005.6022.5271.3531.5770.6440.8530.2381.2260.7250.7240.7240.7240.7240.0115992.5270.001295-3.076-3.006-0.0700.0012950.2090.2040.0050.00130012.0005.6022.5571.3531.5750.6440.8510.2361.2230.7240.7240.7240.7240.7240.0115492.5570.001300-3.046-2.977-0.0690.0013000.2070.2020.0050.00130512.0005.6022.5901.3531.5730.6440.8480.2331.2210.7240.7240.7240.7240.7240.0114932.5900.001305-3.013-2.945-0.0680.0013050.2050.2000.0050.00131012.0005.6022.6261.3531.5700.6440.8460.2311.2180.7240.7240.7240.7240.7240.0114322.6260.001310-2.977-2.910-0.0660.0013100.2020.1980.0050.00131512.0005.6022.6651.3531.5670.6440.8430.2281.2150.7240.7240.7240.7240.7240.0113672.6650.001315-2.937-2.873-0.0650.0013150.1990.1950.0040.00132012.0005.6022.7071.3531.5640.6440.8410.2241.2120.7240.7240.7240.7240.7240.0112962.7070.001320-2.895-2.832-0.0630.0013200.1970.1920.0040.00132512.0005.6022.7521.3531.5610.6440.8370.2211.2080.7240.7240.7240.7240.7240.0112212.7520.001325-2.851-2.789-0.0620.0013250.1940.1890.0040.00133012.0005.6022.8001.3531.5580.6440.8340.2171.2050.7240.7230.7230.7230.7230.0111412.8000.001330-2.803-2.743-0.0600.0013300.1900.1860.0040.00133512.0005.6022.8501.3531.5540.6440.8310.2141.2010.7230.7230.7230.7230.7230.0110562.8500.001335-2.752-2.694-0.0580.0013350.1870.1830.0040.00134012.0005.6022.9031.3531.5500.6440.8270.2091.1970.7230.7230.7230.7230.7230.0109672.9030.001340-2.699-2.643-0.0560.0013400.1830.1790.0040.00134512.0005.6022.9591.3531.5460.6440.8230.2051.1920.7230.7230.7230.7230.7230.0108732.9590.001345-2.643-2.589-0.0540.0013450.1790.1760.0040.00135012.0005.6023.0181.3531.5420.6440.8190.2011.1880.7230.7230.7230.7230.7230.0107753.0180.001350-2.584-2.532-0.0520.0013500.1750.1720.0040.00135512.0005.6023.0791.3531.5380.6440.8150.1961.1830.7230.7220.7220.7220.7220.0106723.0790.001355-2.523-2.473-0.0500.0013550.1710.1680.0030.00136012.0005.6023.1431.3531.5330.6440.8110.1911.1780.7220.7220.7220.7220.7220.0105653.1430.001360-2.460-2.412-0.0480.0013600.1670.1640.0030.00136512.0005.6023.2091.3531.5280.6440.8060.1861.1730.7220.7220.7220.7220.7220.0104553.2090.001365-2.394-2.348-0.0460.0013650.1630.1590.0030.00137012.0005.6023.2771.3531.5230.6440.8020.1811.1680.7220.7210.7210.7210.7210.0103403.2770.001370-2.325-2.282-0.0440.0013700.1580.1550.0030.00137512.0005.6023.3481.3531.5180.6440.7970.1751.1630.7210.7210.7210.7210.7210.0102213.3480.001375-2.254-2.213-0.0410.0013750.1530.1500.0030.00138012.0005.6023.4211.3531.5130.6440.7920.1701.1570.7210.7210.7210.7210.7210.0100993.4210.001380-2.182-2.143-0.0390.0013800.1480.1450.0030.00138512.0005.6023.4961.3531.5070.6440.7870.1641.1510.7210.7210.7210.7210.7210.0099733.4960.001385-2.107-2.070-0.0370.0013850.1430.1410.0020.00139012.0005.6023.5731.3531.5020.6440.7820.1581.1450.7210.7200.7200.7200.7200.0098443.5730.001390-2.029-1.995-0.0340.0013900.1380.1350.0020.00139512.0005.6023.6521.3531.4960.6440.7760.1521.1390.7200.7200.7200.7200.7200.0097113.6520.001395-1.950-1.918-0.0320.0013950.1320.1300.0020.00140012.0005.6023.7331.3531.4900.6440.7710.1461.1330.7200.7190.7190.7190.7190.0095753.7330.001400-1.869-1.840-0.0300.0014000.1270.1250.0020.00140512.0005.6023.8161.3531.4840.6440.7650.1391.1270.7190.7190.7190.7190.7190.0094373.8160.001405-1.787-1.759-0.0270.0014050.1210.1190.0020.00141012.0005.6023.9001.3531.4780.6440.7600.1331.1200.7190.7190.7190.7190.7190.0092953.9000.001410-1.702-1.677-0.0250.0014100.116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Sheet2
Sheet3
