LOAD
          MATCHING 1. SINGLE TRIODE OPERATION. 
      This page has Figs 1-20 giving Ra curves and load line data for
      many power triodes, and has 
      graphs for Po vs RL.
      
      The use of the 6550 beam tetrode as a single triode in class A can
      make a superlative amplifier. 
      But output power is limited to under 8W and to get at least 32W
      for a hi-fi experience with average 
      sensitivity speakers requires 4 parallel 6550 in triode mode.
      Countless listeners have been surprised 
      to find a triode amp with triode output and input tubes always
      sounds well. A minority of audiophiles 
      have insisted their audio amps have triodes such as 45, 2A3, 300B,
      845, 211, GM70 which are all real 
      triodes which have a directly heated cathode, a control grid g1,
      and an anode, and no screen grid g2.
      
      EL84, 6V6, EL34, 6CA7, 6L6, 6550 KT66, KT88, KT90, KT120, KT150
      all have an indirectly heated 
      cathode, and all have control grid g1, and screen grid g2.
      Pentodes have a suppressor grid g3 to 
      prevent secondary emission with low negative going Vapk swings.
      Beam tetrodes have beam forming 
      plates which act like the suppressor grids. Nearly all pentodes
      and beam tetrodes may have g2 and g3 
      connected to anode for "triode connection". Beam tetrodes have
      beam forming plates internally 
      connected to cathode, so only g2 can connect to anode. EL34
      suppressor grid at pin 1 may be 
      connected to anode with g2. But EL84 has its suppressor g3
      internally connected to cathode, so only 
      g2 can connect to anode. This the Vac at anode and g2 are always
      the same for triode connection, and 
      thus secondary emission does not need to be suppressed by g3 or
      beam former plates so these 
      electrodes may be always connected to cathode for triode
      operation. 
      
      In my experience I never found anyone who can tell the difference
      between a 6550 in triode mode 
      compared to a 300B where the amp is not able to be seen by the
      listener. This opinion infuriates those 
      who MUST HAVE an 845 etc, and who hate all modern tubes made after
      1935.
      Nostalgia is fine, and I will not doubt a well designed amp with
      pre 1935 triodes can give sound as good 
      as it ever could be. 
      
      I would never disagree with someone's preference for a single
      300B. But they give only 8W, and you 
      need to have speakers which make 96dB SPL for 1W at all F above
      40Hz, and many speaker drivers 
      can give 96dB/W/M at 1kHz, but may require twice the power to give
      the same SPL at 40Hz. 
      Most speakers have lower sensitivity, commonly 90dB/W/M for 60Hz
      to 20kHz. A minority of speakers 
      are 3 way floor standing types giving a genuine bass response down
      to 25Hz, -3dB, so only -1dB at 
      40Hz. In such speakers, the sensitivity is governed by the low
      bass sensitivity, and that may be only 
      87dB/W/M, and the power delivered to midrange and tweeters is
      attenuated with series resistor 
      networks. 
      
      Thus an 8W amp with one 300B may be inadequate and having at least
      32W capability is best. 
      Some will try to use an active crossover with separate amp for a
      single sub-woofer to boost the bass 
      between 20Hz to say 80Hz.
      This means the main amps do not have to work hard with low bass so
      8W main amp may be found to be 
      adequate, and bass levels can be separately controlled. 
      I found having two genuinely full range floor standing speakers
      with a pair of 30W+ amps sounded better.
      
      For 30W+ from triodes at least a parallel SE quad of 300B or 6550
      are needed, and PP requires a pair.
      
      Nevertheless, in my kitchen I never want to have music levels as
      loud as I might have once enjoyed 
      when 30, and I have a single 2 way 1955 speaker which does give
      the flat response from 40Hz up for 
      real hi-fi, and it is within reach near a chair in my kitchen
      where I sit to read, listen, eat, and sometimes 
      type on a lap-top. So I have a single EL34 in triode giving 5W
      maximum which is part of an AM radio.
      
      Both channels of a 1970s AM-FM tuner are summed with resistance
      network to give me excellent 
      classical music from ABC Classic FM, while the tubed AM tuner
      gives 20Hz to 9kHz of AM so that ABC 
      Radio National sounds well. I enjoy all classical music and a
      little other stuff, but definitely no rock, pop, 
      rap etc. 
      
      This page sets out to get the right load value for Single Ended
      Triodes. The term "single ended", SE, 
      means the power to the speaker is created by ONE triode working in
      class A1 with substantial idle 
      current without any signal and this current is changed in
      amplitude to give you Mozart or Marley. 
      There is only one phase of signal used to power a speaker. In Push
      Pull, PP, there are two phases 
      of signal which are combined to make one phase for a speaker. The
      OPT used between the tubes 
      and speaker will be different for either SE or PP power. 
-----------------------------------------------------------------------------------------------------------------------
      This page has the following content :-
      Fig1. GE6550A triode Ra curves from the 1950s.
      Explanations of how the curves were obtained and what the curves
      mean. 
      Fig 2. Schematic with one power triode for testing parameters.
      Triode voltage generator model is included in explanations. 
      Fig 3. 6550EH triode Ra curves with RLa loads 7k8, 3k9 1k9 and
      tangent to calculate Ra, µ and 
      gm for any chosen working point.
      Explanation of what load lines are.
      How to plot them graphically to read the graphs for gain,
      calculate power output, and 2H distortion. 
      Graph 1. Power output vs RLa for SET for KT120, 6550 and 300B.
      Fig 4. 6550EH triode Ra curves with SET loadlines 3k0, 4k5, 9k7. 
      Fig 5. Graphs for measured THD vs Va for SE triodes 6550EH and GE
      6550-A. 
      Fig 6. Graphs for measured THD vs Va for SE triodes JJKT88 and
      KT90EH. 
      Fig 7. 6550EH triode Ra curves with correction to curves due to
      Vac measured with high value RLa. 
      Comments re Ra, µ, gm. 
      Fig 8. KT120 Ra curves for triode. 
      Fig 9. KT120 Ra curves for triode with RLa 1k4, 2k8, 5k6.
      Fig 10. 300B EH Ra curves for triode.
      Fig 11. 300B EH Ra curves for triode with RLa 1k5, 3k0, 6k0. 
      Fig 12. 300B Emission Labs Ra curves for triode, re-produced here
      on same size grid pattern to 
      allow easier comparisons.
      General talk about triodes, music, meaning of musical engagement,
      fanaticism about technical 
      issues poorly understood, etc. 
-----------------------------------------------------------------------------------------------------------------------------
      Fig1. GE6550A TRIODE, Ea vs Ia Ra curves.
      
      Fig 1 shows 6550 Ra curves from a scan of an ancient GE data sheet
      and tidied up in MSPaint. 
      The positions of the curves have been carefully preserved. Most of
      the GE 6550 type A ever made have 
      been used up and worn out and the few NOS survivors have become
      ridiculously priced. The above graph 
      is typical of a power triode, but it does not convey any
      information above 560V. But Va swings can extend 
      up to 1,000V. You may blame the laziness of the men and women who
      tested the tubes and the moronic 
      publishers of data who refused to produced publications on A4
      sized sheets of paper. 
      
      Many triodes amps with 6550 may have Ea at +450V, and a high value
      load may swing the anode 
      Vac by +/- 370Vpk, so Vapk swings up to 820V should fit on the
      curve sheets. The graph looks like there 
      may have been more info available in 1960, but the accountants
      reduced the size to fit a small cheaper 
      book page size. Or else the testing methods at GE were quite
      limited, which I much doubt. Big companies 
      like RCA and GE did spend a lot on testing their products to get
      the best characteristics, reliability and 
      tube life. Nobody really knows what a COMPLETE set of curves for
      ancient GE6550 might look like, but
      use of a high reactance choke, say over 20H to feed Idc to a 6550
      will allow Ea at +500Vdc, and the Ea 
      swing can be up to +/- 430Vpk without any R load connected, so max
      Ea can reach 930V. With a 1kHz sine 
      wave input at grid with THD < 0.1%, anode Vac and THD can
      measured and the results indicate information 
      well above 560V which GE have declined to give us. And all this
      can be done without excessively 
      complex gear. See my page at basic-tube-4.html
      
      Most manufacturers in western countries closed down by 1986. The
      Russia, Yugoslavia, and China 
      have continued. Some have published the same curves produced in
      1960, rather than produce curves 
      form their own production which may vary slightly from 1960. A few
      manufacturers like Emission Labs 
      and KR Audio and others have produced curves for their own tubes.
      But many data sheets for all types 
      of triodes, pentodes, beam tetrodes have been at a lower standard
      than produced in 1960. 
      To really understand what any given tube will do, buy  sample
      and test it yourself. Do not rely solely on 
      computer modelling and simulation programs. Read all you can from
      old books and notes by old 
      manufacturers.  
      
      Ra means "anode resistance" - the resistance you would measure
      between anode and cathode if you 
      varied the anode voltage while keeping cathode at 0V and grid at a
      fixed -Vdc. If you had a 6550 in triode 
      set up with a choke feed for anode, and Ea = 400Vdc, Ia = 70mAdc,
      with fixed grid bias Vdc, and 10uF 
      capacitor from anode to the outside world, a resistance meter will
      measure R = infinite because you are 
      measuring a capacitor, which is an open circuit for Vdc applied to
      measure R. But if you connected a 10k 
      from cap to a signal gene, and applied a 10Vac 1kHz from gene, you
      would find about 9.3Vac across 10k, 
      and 0.7Vac between anode and cathode. The current in 10k = 0.93mA,
      and R "looking into" anode 
      = 0.7V / 0.93mA = 752r. 
      The 6550 triode will appear to have this resistance at all
      frequencies up to about 100kHz when internal 
      capacitances begin to have some shunting effect on R. The triode
      has 400V x 70mAdc flow, but this does 
      not mean anode resistance = 400V / 0.07A = 5k7. If the Ea was
      increased from say 400Vdc to say 420Vdc, 
      you may measure Iadc increases 26.6mA. The R = Ea change / Ia
      change = 20V / 26.6mA = 752r. 
      The screen and anode connected together have a transconductance,
      gm, effect on Ia, in this case Ea 
      change of +20V causes Ia change 26.6mA, so gm of anode and screen
      = 1.33mA/V. 
      It is simply calculated as 1 / Ra = 1 / 752r = 0.0013A/V =
      1.33mA/V. If the screen is taken to a fixed 
      Vdc of say +300Vdc, then the Ra appears to be about 25k, so how
      can this be? The anode gm = 0.04mA/V, 
      an almost negligible amount. The screen at held at a fixed Vdc
      prevents the field effect of anode V change 
      from altering the Iadc so Ea can be varied with little Ia change.
      Thus pentodes and beam tetrodes when 
      connected as such are considered current sources and anode loads
      are less than Ra, while triodes are 
      voltage sources where anode loads are more than Ra.
      
      The tube curves allow us to plot a suitable load value for pure
      class A used in all SE amps. 
      
      Each Ra curve is for a fixed value of Eg1 applied to grid. In
      1960, curves were drawn by an 
      electro-mechanical machine which drew the curves on paper. I could
      assume tube amps were used to 
      power the curve plotter. This was not a perfect process, and
      errors were produced but in general the errors 
      were less than the distortion produced by shape of curves of the
      tube. Therefore the old data curves 
      indicate the distortion likely in any given tube plus the
      distortion in the measuring and curve plotting gear. 
      My tests have revealed many tubes are more linear than the old
      curves predict. 
      
      There are a few online sources which show pictures of oscilloscope
      screens but it seems to me that few 
      people are able to calibrate the curves they generate. Many
      attempts at drawing curves for tubes have 
      been attempted since 1960, but few have ever succeeded to equal
      the quality of well calibrated curves 
      produced by office staff in well funded and equipped factories of
      1960. 
      
      Each Ra line is a curve and not a straight line because the change
      of Ea produces non linear Ia change. 
      The Ia change = a constant x cube root of Ea squared. The Ea
      change alters the anode electrostatic 
      field and the resultant Ia change follows complex formulas
      described in old books written in 1920s and 
      1930s. One Professor Child wrote a lot about all this and you
      might Google Child's Law.  
      
      A few people have succeeded in using a PC to very easily create a
      digital file of the curves which can 
      be printed out, and there are some PC programs available now which
      automatically plot loadlines across 
      the tube characteristic Ra curves and calculate the distortions.
      Considering the 6550 Ra line in the 
      above set of curves for Eg = 0V, when Ea is raised to 100V, Ia =
      103mA, and you can say Ra = 100V / 103mA 
      = 970r. But if Ea is increased to 200V, Ia = 275mA, and Ra between
      100V and 200V = Ea change / Ia change 
      = 100V / 172mA = 581r. 
      But this is not accurate because the Ra starts at maybe 1,160r for
      0V to 58V, but then becomes lower as 
      Ea is raised. Ra for any one Ea and Ia value is never ever known
      exactly on the canvas. It is sufficient for 
      us to know the Ra within a range of probable values. The best
      anyone can do is draw a tangent line to 
      nearest Ra curve to any chosen point, then calculate Ra = Ea
      change / Ia change. 
      
      So then we know approximate Ra at that chosen point, for small Ea
      and Ia changes. All resistances 
      can be measured in ohms using Ohm's Law, R = V / I. Instead of
      typing the Greek letter omega for 
      ohms, or the word ohms, I type " r " after a number, say 1,160r
      and we should all know that is 1,160 
      ohms, but is also writen as 1k61, or 1.16k.  
      
      The DC operation of the tube should be considered separately to
      the ac operation. The equivalent 
      ac model of a triode can be considered a voltage generator with
      Rout < 1r0, which generates 
      Vo = µ x Vg-k, ie amplification factor µ x Vac between grid g1 and
      cathode. The anode resistance can 
      be an imaginary R between generator output and the real anode
      terminal which connects to the anode 
      load RLa. The imagined R works just like Ra. 
      Fig 2. Testing power triodes.
      
      Fig 2 shows Vac Generator Model of a 6550 TRIODE in a simple basic
      test circuit to measure its 
      Ra, µ, and gm for idle Ea = 380V, Ia = 75mAdc, idle Pda = 28.5W,
      Eg1 = -40Vdc.
      The Ra at the idle point = 867r, and µ for Vg change of +/- 10Vpk
      = 6.95. 
      Gm = µ / Ra = 6.95 / 867r = 8.016mA/V.
      There is additional info on measurement of tube parameters Ra, µ
      and gm at basic-tube-4.html
      
      The choke is as high an L value as might be afforded. The Rw
      should be < 200r. Two or three 
      chokes of different values can be used in series. But I used one
      big choke with reactance XL at 
      1kHz above 200k ( L = 32H+ at 1kHz ) so that loading effect on
      triode was negligible. So when 
      such a choke is connected without any RLa the Iac is extremely low
      and amplification µ is at its 
      maximum value. In other words, the loadline without any RLa
      connected at selector switch is a 
      nearly horizontal line. The Vac input may be increased until
      oscilloscope shows waves just less 
      than clipping on positive or negative wave peaks, or both. 
      THD can be measured by by sampling anode Vac after C2 using a high
      resistance divider of say 
      2M0 : 220k giving about 10:1 Vac reduction. 
      
      Fig 3. 7k8, 3k9, 1k9 loadlines for SET 6550EH. 
      
      Fig 3 shows 3 loadlines for a single EH 6550 triode with Ea =
      420Vdc, Ia = 73.4mAdc, 
      Eg1 bias = -47Vdc, Pda = 30.66W = 0.73 x Pda max of 42W. 
      
      1. Plot point Q at 420V x 73mA. 
      
      2. Calculate RLa load for maximum pure class A Po for the chosen Q
      point :- 
      Examine Ra curves, and plot B at twice Iadc at Q on Ra curve for
      Eg = 0V, ie, at Ia = 146mA. 
      This is found to be at Ea = 134V. 
      The average resistance value between 00 and B = V / I = 134V /
      146mA = 918r. 
      RLa for max class A Po = ( Ea / Iadc ) - ( 2 x Ra at g1 0V ) = (
      420V / 0.073 ) - ( 2 x 918 ) 
      = 5,753r - 1,836r = 3,917r. 
      
      3. Calculate for point A :- ( Ea / RLa ) + idle Iadc = ( 420V /
      3,917r ) + 73mA = 107mA + 73mA 
      = 180mA. 
      Plot point A at 0V x 180mA. 
      
      4. Calculate for point D :- V across RLa for Iadc = 3,917r x 73mA
      = 285.9V. Add Ea, = 705.9V. 
      Plot D at 706V x 0.0mA. 
      
      5. Draw straight line from A to D. This should pass through B and
      Q. If not, repeat everything 
      until this occurs.
      
      6. Plot C on QD where Eg1 = twice Eg1 at Q. Eg1 at Q = -47V, Eg1
      at D = -94V.
      The line BQC is the load line for 3.917k 
      
      7. Calculate 2H from line BQC. B to Q = 134V to 420V = 286Vpk Ea
      swing. 
      Q to C = 420V 
      to 655V = 235V. 2H = 100% x 0.5 ( BQ - QC ) / ( BQ + QC = 100% x
      0.5 x 51V / 521V 
      = 4.90%. 
      
      8. The Vpk-pk = B 134V to = C 655V = 521Vpk-pk ; Va = 521Vpk-pk.
      Vac = 521 / 2.828 
      = 184Vrms. 
      Calculate Po = Va squared / RLa = 184 x 184 / 3,917r =
      8.65W. 
      
      9. Conclusions. Po max occurs at onset of clipping where Ea swing
      reaches Ra line for 
      Eg1 = 0V, and Ea swing max is determined by reducing gm of triode
      with low Ia which 
      prevents Ea max swing reaching D.
       
      Po with low THD can only be increased slightly if enough NFB is
      applied. 16dB NFB should 
      reduce THD from 5% to say 1% and allow Po max to reach nearly 10W.
      The grid Vac will 
      contain about 4% THD with opposite phase to reduce output THD to
      1% at about 10W. 
      In practice, expect Iadc to increase slightly with continuous sine
      waves and cathode biasing. 
      The Ek will rise a few Vdc, indicating the 2H is causing some
      "rectification" effects. 
      The Ea will stay nearly the same, but the Po can increase with
      Iadc idle point raised higher. 
      With fixed Eg1 bias Vdc, the rise of Q point and increase of Iadc
      is lessened. In music amps 
      the average Po is perhaps 1/20 of the clipping level so there
      there is no need to concern 
      ourselves with a shifting bias point at high levels. 
      
      Theoretical max class A Po for the RLa calculated 
      = 0.5 x Iadc squared x RLa = 0.5 x 0.073 x 0.073 x 3,917r 
      = 10.44W. When enough NFB is used, clipping should occur
      symmetrically on +/- wave peaks, 
      and if you measure 10W you are doing well, for THD < 2% with
      NFB. 
      
      For all RLa loads higher than RLa for max Po, clipping occurs on
      negative Va peaks; 
      the Ea swing cannot move to the left of Ra curve for Eg1 = 0V, and
      Po is less. For all RLa loads 
      lower than RLa for max Po, clipping occurs on positive Va peaks;
      the Ea swing cannot move to 
      a negative Va below line for 0.0mA, and Po is less. 
      
      10. All SE amps should be able to power speaker loads which vary
      between 0.5 and 2.0 times 
      the load for max class A Po. The anode Po is well below maximum
      possible but there can be 
      enough for good listening. A typical OPT for SE operation may have
      7% winding losses for 
      the load for maximum class A, so at OPT sec Po = 9.3W. 
      Where load = 1k9, losses are 14%, Po = 4.3W. Expect 6W with RLa =
      7k8.  
      
      Graph 1. Po vs RLa, SET KT120, 6550, 300B.
      
      Graph 1 shows the available SE triode Po from from 1 x KT120, 6550
      or 300B. 
      KT120 gives 14W max Po because it has idle Pda = 40W, and anode
      efficiency = 35%, 
      good for SE triode. OPT is 4k0 : 4r0, 8r0, 16r0 for the 420V x
      100mA idle condition. 
      8W is available for 1k5 to 6k0. 
      
      6550 or KT88 give 10W max Po with idle Pda = 30W, anode efficiency
      30%. 
      OPT is 5k0 : 4r0, 8r0, 16r0 for 420V x 73mA idle condition. 6W is
      available between 2k2 
      and 8k0.
      
      300B EH gives 10W max with idle Pda = 28W, anode efficiency = 35%.
      Ea can be lower 
      at +350Vdc. 
      There is little performance difference between a 300B EH and a
      6550 / KT88. OPT load 
      can be 4k0 : 4r0, 8r0, 16 for the 350V x 80mA idle condition. 6W
      is available from 1k7 to 5k8. 
      
      The damping factor with all these SE triodes is good even with
      zero GNFB. The best sound 
      is possible with higher RLa than the OPT values quoted, and with
      sensitive speakers. A 6r0 
      speaker would be used on 4r0 output terminals. For more Po with
      better fidelity with average 
      speakers with low sensitivity, use more than 1 triode, and a
      speaker giving 90dB SPL will 
      need 4 triodes instead of just one with a speaker rated at 96dB. 
------------------------------------------------------------------------------------------------------------------------
      I have found many power triodes are capable of less than 2.7% 2H
      at high Va where the RLa 
      load is a constant current source, or more simply a large amount
      of inductive reactance with a 
      large choke. 
      
      So were the curves drawn in 1955 correct? I decided to measure a
      couple of slightly used 
      EH6550 to see if there was much difference between Russian made
      EH6550 for 2006 and the 
      GE 6550A made all those years ago in the USA.
      
      Fig 4. 3k0, 4k5, 9k7 Loadlines for SE 6550 triode. 
      
      Fig 4 has 3 load lines used with 4 different tubes to test
      differences in THD. 
      
      Fig 2 from above shows the basic schematic I used to test EH6550,
      GE6550A, KT88JJ, 
      and KT90. 
      The choke > 20H and supplied Idc to anode while acting as a
      virtual constant current source 
      because even with 250Vrms at anode and XL = 100k, Iac = 2.5mA and
      load would be a nearly 
      horizontal line. Negligible phase shift is present because all the
      triodes have Ra < 1k0.
      
      The original test schematic had switched anode resistor loads 9k7,
      7k2, 4k5, 3k0, 3k0, 1k0. 
      Cathode resistors were also switched to vary cathode bias to a
      wanted value. There is a low 
      distortion signal amp for grid signals producing less than 0.5% 2H
      at 50Vrms. 
      The 1kHz test signal from 1kHz oscillator has 0.005% THD. Since
      2006, I upgraded the test 
      schematic as seen at basic-tube-4.html
      
      The conditions for the test were Ea = 420V, Ia = 73mA, Eg = -47V,
      approximately.
      
      Here are three following graph sheets each with the same 3 loads
      showing measured THD for 
      each load vs output voltage.
      Fig 5. THD vs Va graphs for EH6550 and GE6550A triode.
      
      With no load connected, 2H < 1.6% at 235Vrms output. This
      indicates old Ra curves for 
      GE6550A were not correct, at least for EH6550, which appear to be
      more linear than the 
      old curves indicate.
      
      Fig 6. THD Vs Va for JJ KT88 and KT90.
      
      The JJ KT88 measured almost identically to 6550EH and GE6550A. I
      have found all 
      Russian 6550 and KT88 including Sovtek have negligible performance
      data, and the 
      internals for Sovtek and EH tubes look exactly the same. The
      glassware was changed after 
      Mike Mathews formed joint venture with former Soviet factory
      Sovtek which had been 
      making many military tubes. Many buyers preferred tubes which did
      not remind them of 
      social communist Russia and the cold had fact that USA tube
      factories closed down and left 
      thousands of owners of guitar amps without a source for new tubes.
      
      DON'T WORRY, all these beam tetrodes make wonderful music when
      triode connected. 
      All produce less than 2% 2H at about 2W for the Middle load of
      4k5. 
      
      You can easily get 9W with Pda at 30W, 2H between 4% and 5%. GNFB
      can reduce this to 
      under 0.5% for excellent music with sensitive speakers. For
      average speakers of 88dB/W/M, 
      use of 4 x EH6550 give 36W easily. 12dB GNFB gives THD < 1.0%
      at 32W, and 0.13% at 
      1W which would produce 88dB with two amps. For average levels of
      85dB SPL, THD < 0.1% 
      and the SE triodes will not sound worse than many PP amps which
      will measure less THD. 
      
      Loading may be calculated for design without concern for winding
      resistance where it is less 
      than 10% of the RLa. Total SE OPT winding resistance for the
      middle load value may be 7% 
      so that if RLa = 5k0, Rw may be 350r. This makes little difference
      to the music. But instead of 
      getting 9W, you get 8.4W. A typical good SE OPT will have Rw <
      7% for the Nominal RLa.
      
      The Rw of any OPT cannot easily be measured. Consider OPT for 5k0
      : 8r0. The primary 
      winding may have winding resistance = 150r which is 3% of primary
      RLa = 5k0. The secondary 
      may have Rw = 0.28r. This is 3.5% of the sec load. The OPT has ZR
      = 625 : 1, and the sec Rw 
      is transformed to become 175r at primary and total Rw input at
      primary 
      = 150r + 175r = 325r. Therefore the load at anode = 5,325r, If we
      assume 9W is applied to this 
      load, then power lost as heat in total Rw = 100% x 325 / 5,325r =
      6.1%, and instead of 9W at 
      speaker, there is 8.45W. Be satisfied. This loss is is tiny when
      compared to life's big issue losses. 
      To reduce Rw loss to 3% may involve an OPT that is 3 times the
      weight and cost, and it won't 
      sound better. 
      
      If the RLa = 5k0, and triode Ra = 950r, and Rw = 325r, then total
      R in series with load 
      = Ra + Rw = 950r + 332r = 1,275r. The damping factor = load R /
      total series Ra + Rw 
      = 5k0 / 1k275 = 3.92. 
      This is is good enough to not use NFB. But where 12 dB NFB is
      used, expect DF to increase to 15.
---------------------------------------------------------------------------------------------------------------------------
      Fig 7. GE6550A Ra curves extended after my tests.
      
      The people who have come to understand the meaning of Ra curves
      and load lines will notice 
      how Ra curves of all triodes including 6550 tend to become closer
      together on the right side of 
      graph, especially where Ia < 50mA. This means the tube needs
      more grid Vac change at low Ia 
      to swing the same Va as it does above Q to get a Va change. The
      most linear transfer function 
      between Vg and Va occurs when RLa is a CCS, a horizontal line
      across the Ra curves, or at 
      least 100 x Ra. This loading allows maximum possible Va swing,
      lowest Ia swing, and least THD.
      I have plotted a point Q at a convenient position on Ra curve for
      Vg = -50Vdc. IQ is at 429V x 70mA, 
      and at Pda = 30W, and where the 6550 could be used. If you plotted
      a horizontal load line through 
      Q at 70mA, you would find Ea swings down to 70V and up to 772V for
      Vg swings of +/- 50Vpk. 
      The anode swings -359V and +343V. 
      2H = 0.5% x ( 359 - 343 ) / ( 359 + 343 ) = 1.1%. 
      There are other H, but they will be less than 0.7% and make little
      difference to THD. 
      All finite resistance loads above the infinite R value of a
      horizontal load line will generate higher THD. 
      The amplification factor µ = tube gain for RLa = CCS. Gain for
      6550 triode over a wide 
      Va-a = Va pk-pk / Vg pk-pk = 702V / 100V = 7.02. This is average
      gain, and average µ for a CCS 
      load, ie, constant Ia = 70mA. The max Va = 702V / 2.828 =
      248.2Vrms.  
      
      But the triode will spend 90% of its life operating with very low
      Po and low Ea & Ia swings. 
      If we look closely at Fig 7 you see point Q at 429V x 70mA. For Vg
      swings of +/- 10V peak the Va 
      swings are -71V and +72V. µ = ( 71 + 72 ) / ( 10 + 10 ) = 7.15,
      slightly higher than average.
      The 2H becomes difficult to calculate with such small Vac from a
      graph which may have errors. 
      But 2H would be 0.5% x 1 / 143 = 0.7%, far more than what we may
      expect because usually the 
      2H is proportional to Va. We might expect 0.22%. I calculated Ra
      at Q = 935r. Gm = 7.64mA/V.
------------------------------------------------------------------------------------------------------------------------
      Fig 8. Ra curves for KT120 triode.
      
      KT120 is very similar to 6550 EH or KT88 EH. The Pda max is 60W,
      so more Po is available. 
      The Ra curve for Eg1 = 0V is slightly steeper than 6550EH so Ra is
      lower for this curve.
      But for a Q point at about 435V x 70mA, Eg1 = -49V, Ra = 925r, and
      hardly any different to 6550. 
      If I plot a CCS line at 70mA, I get Ea swing -365V and + 335V for
      +/- 49V swing of Eg1. 
      The average µ = 700Vpk-pk / 98Vpk-pk = 7.14, same as 6550 ! 
      
      2H along 70mA line = 100% x 0.5 ( 365 - 335 ) / 700 = 2.14%. Maybe
      the curves are correct enough. 
      
      Fig 9. KT120 with RLa 1k4, 2k8, 5k6. 
      
      The load for max possible class A Po = BQC = 2.76k, 2H = 6.3% at
      13.8W.
      Load FQG = 1.38k, 2H = 14.0% at 6.7W, and Load IQJ = 5.52k, 2H =
      4.4% at 7.2W. 
      With R&C cathode biasing, the cathode Ek will rise when low
      loads are used with sustained 
      sine waves at high levels because positive going peak currents are
      higher than the negative 
      going currents. This is called the "rectification" effect. This
      means the Idc of the tube 
      increases increase of DC power from PSU.
      
      The maximum output power for loads below 2.76k become higher than
      indicated on my 
      Graph 1 for Po vs RLa for KT120 and other triodes. Where fixed
      bias is used to grid with 
      cathode to 0V, and where 20dB GNFB is used, there is no shift in
      bias Idc for tube. The NFB 
      cannot correct the 2H where the anode current cuts off. Therefore
      max Po for low load 1.38k 
      can be calculated as 0.5 x Iadc squared x RLa = 0.5 x 0.1 x 0.1 x
      1,380 = 6.9W. For a very 
      low RLa = 100r, peak Va swing = +/- 100mA, Po = 0.5W, with Vg
      limited to +/-21Vpk. For 100r, 
      with less Ia swing, say +60mA -50mA, Po = 0.15W, and 2H = 9%. But
      for higher Po for 100r, 
      the THD becomes similar to a half wave rectified signal in a PSU,
      and this disqualifies the Po 
      as being acceptable. The Graph 1 figures are for THD < 2% and
      with 20dB GNFB, and no OPT 
      winding resistance losses, ie, RLa load is between anode and 0V
      via C with low reactance. 
-----------------------------------------------------------------------------------------------------------------------
      How good is the EH6550 or KT120 in triode compared to the "gold
      standard" of power triodes, 
      the 300B?
      
      I don't have a WE 300B to test but here are some curves I found
      from www.audiomatica.com, 
      measured on a Sofia tube curve tracer before 2003.
      Fig 10.
      
      The Ra curves look quite good but their accuracy cannot be
      verified until one is tested with 
      choke with XL > 120k and a real resistance load. I have plotted
      ABQCD loadline for 4k5. 
      The 2H from curves = 3.1%.
      
      If a Q point is plotted at 350V on 80mA horizontal line at Eg =
      -70V, Ea swings -285V, +272V 
      for Eg1 = 0.0V to -140. 2H = 1.2%.   
      The µ = 3.98. For Q = 350V x 80mA, Ra = 645r. For RLa = 4k5, DF =
      6.97.
      
      Fig 11. 300B with 1k5, 3k0, 6k0.
      
      This shows ABQCD load of 3k0 for max possible class A1, and then
      1k5 and 6k0 loads 
      being 1/2 and double. The THD is less than similarly loaded KT120
      and 6550. 
      
      Emission Labs 300B should give better results. 
      
      The reason why 300B is more linear is partly due to its low µ
      where the anode to grid and 
      cathode to grid distances are set up for low Ra, ie, anode has gm
      = 1.55mA/V
      For 6550 etc, the designers aimed for good beam tetrode
      performance and the added screen 
      has gm of about 1mA/V, so its effect on linearizing Ia is not as
      high as the anode in lower µ 
      triodes invented 25 years before. I am over simplifying the design
      issues, but nobody can 
      deny that the original 300B and modern copies, and developed
      versions with higher Pda 
      ratings, and other triodes such as 45, 2A3 and 845 are quite
      magnificent performers with 
      music.
      
      Fig 12. Emission Labs 300B Ra curves.
      
      These E.L. curves look very nice, and if an idle point Q was at
      390V x 50mA, Eg = -84V, 
      nd load = CCS, 2H = 2%, and without doctoring up the curves
      slightly to allow the big Ea swing 
      from 65V to 695. What other single amplifying device produces
      222Vrms output at less than 
      2% THD without any external loop of NFB? Not many. All the EM Ra
      curves have less curvature 
      than 6550EH. This means the THD is likely to be lower than for
      6550 under comparable load 
      conditions.
      A 6550 in triode has µ = about 6.7. If it was reduced to 3.9 like
      a 300B we may find Ra also 
      reduced to Ra of 300B. I am not a tube design expert, but internal
      grid and screen distances 
      would need tom be changed. There was a a huge effort made to get
      the performance we see in 
      beam tetrode mode and pentodes to allow RF amplification and to
      get better plate efficiency 
      than triodes in class A1 and AB1 and AB2. Use of triode strapping
      was always going to be 
      possible but it was never going to dictate the design for beam
      tetrode or pentode mode with a 
      fixed Eg2. 
      
      If you use a 6550 in triode mode with 10% of OPT primary turns in
      a cathode feedback winding, 
      the effective µ is reduced from 6.7 to 4.0, virtually the same as
      a 300B. The Ra is reduced from 
      900r to 538r, and you will find the 6550 in triode has better
      operation than 300B, while it needs 
      about the same grid Vac input as does 300B. I did this in1999 in a
      modified Quad-II amp, see
      quad2powerampmods.html
      
      This mod gave 20W in class AB1 triode, and everyone said the amp
      sounded better than the 
      original Quad-II. The idea of CFB works just fine in SE amps. But
      there isn't any need to use 
      CFB with 300B because it is already just fine without any local
      loop NFB. 
      
      I have a pair of KR audio 300B which have Pda = 50W, NOS, made in
      about 2007, and I did 
      lend them to two audiophiles in about 2009 to see if they could
      hear anything better than what 
      they already had, ie, Svetlana Winged C 300B, and Sovtek. They
      heard no differences. 
      They could hear no reason to pay the huge price for KR300B. I
      concluded their interest in 
      Ultra High End tubes was lessened by me lending them a pair of the
      world's supposed best 
      300B on offer. I can say that in 2016, KR Audio and Emission Labs
      prices will punch a big hole 
      in your wallet. Are the exotic high end tubes better made? The KR
      and Emission Labs tubes do 
      look better when you see one and feel better in your hands; they
      are heavier, the glass is thicker. 
      But these factors along with the cosmetic appearance does not make
      them any more likely to 
      give better sound than a JJ300B, or a Sovtek 300B. JJ300B price is
      less than 10% of Emission 
      Labs.
      So you could easily use 3 x JJ300B in parallel for 24W and I see
      no reason why the sound could 
      be worse than use of a single 845 made by the most expensive brand
      name.
-----------------------------------------------------------------------------------------------------------------
      Fig 13
      
      Fig 13 shows the magnificent Ra curves for an 845. 
      Consider horizontal line at 50mA from Ea = 180V to 2,285V, and Eg1
      from 0V to -400V. 
      Average µ = Ea change / Eg1 change = 2,285 / 400 = 5.713. 
      Ra at 1kV and 50mA = 2k2. Ea at Eg1 = -200V is 1,247V. For Vg =
      +/-200Vpk, Va = -1067Vpk, 
      +1038Vpk, 2H = 0.64%, which seems too good to be true, but without
      any Ia change, 845 triodes 
      are remarkably linear. 
      
      The Ra is much higher than 6550-KT120-300B but is low compared to
      the ideal class A load 
      RLa for the idle conditions. If the idle condition was 1,000V x
      50mA, Pda = 50W, RLa for max 
      class A = 15k6, Po = 19.5W, with 12dB GNFB. Without GNFB, DF = RL
      / RLa = 15k6 / 2k2 
      = 7.09, quite good, but with GNFB it will be about 30! 
      6dB GNFB would be plenty, and some would say no NFB is needed. The
      OPT is 15k : 4r, 8r, 
      16r, and must be custom wound very carefully to get enough
      bandwidth. 
      
      Consider the horizontal line for Ea = 70mA from Ea 215V to 2,320V,
      Eg1 0V to -400V. 
      Average µ = 2,320 / 400 = 5.80. Ra at 1,050V and 70mA = 1k9. 
      Let us try idle point at 1,050V x 70mA, Pda = 73.5W. At Eg1 =
      -200V, Ea would be at 1,297V. 
      Without any Ia change, For Vg = +/-200Vpk, Va = -1082V, +1023V, 2H
      = 1.3%. The THD with 
      loads will be higher. RLa for max class A load = 11k2, Po = 27.4W
      with 12dB GNFB. 
      Without GNFB, DF = 5.8, but with 12dB GNFB, DF = about 25. 
      
      Class A RLa are calculated here approximately = ( Ea / Ia ) - ( 2
      x Ra ) where Ra is at the 
      idle Q point. The Ra curve for Eg1 = 0V is well curved between 0mA
      and 140mA, the Ea change 
      = 325V, so you cannot assume Ra = 325 / 0.14 = 2k3, which is
      higher than at the Q point 
      1,050V x 50mAdc. 
      
      Let us see the load lines for Q point 1,050V x 50mAdc.........
      
      Fig 14. SE845 with RLa 9k0, 12k0, 18k0, as in SE55 amps with 2 x 845
      parallel.
      
      Fig 14 shows 3 RLa values for Idle point 1,050V x 70mAdc = 73.5W.
      This idle point 
      is safe with KR Audio 845 because they are rated for 100W max. But
      they also have 
      heater power = 10V x 1A with oxide coated directly heated cathode,
      so cathode heat = 10W. 
      
      Total heat = 83.5W. Other 845 from Shuguang which are closer
      copies to original RCA 
      845 have tungsten cathodes needing 10V x 3.3A = 33W. Some will say
      idle Pda may be 
      100W, but this may not be reliable. The max Pda rating listed in
      data may be 100W, but 
      95% of 845 were used in PP class AB1 for audio modulating AM radio
      transmitters which
      may have also used 845 for RF output running in class B or class
      C. 
      The working average Pda for all these applications was always kept
      lower than 100W 
      because of the expense of  tube replacement.  
      
      In 2008, built a pair of 55W monoblocs with a pair of 845 in
      parallel. They used KR Audio 845, 
      and I used 3 x EL84 in triode and parallel as the driver. The 700
      hour design and construction 
      time was not in vain. These amps were excellent with music. The
      fussy customer who bought 
      the 55W amps heard no difference between expensive KR Audio 845
      and Shuguang type B at 
      about 1/4 of the price. The Shuguang in 2008 was a more accurate
      copy of original RCA 845 
      with thoriated tungsten cathode which makes it last longer with
      typical idle Ea = up to 1,300Vdc, 
      common in PP amps with Ia at 30mA for idle Pda = 39W. For pure
      class A1 or A2, I figured the 
      best idle point was 1,050Vdc x 70mAdc for each 845. Power output
      and THD for both KR Audio 
      and Shuguang 845 were not much different. My efforts with SE 845
      are seen at 
      monobloc845se55.html
      
      The OPT for the SE55 amps has OPT with 4 load ratios  = 5.88k
      : 4r0, 6r3, 9r0, 16r0, 
      with 9 sec windings strapped in 4 different combinations of series
      and parallel. Consider use of 
      OPT strapping for 5.88k : 4r0. The total winding resistance at OPT
      input = 277r. Therefore the 
      anodes must work with primary load = 6.14k. Speaker Z is never a
      constant R at all F, and a 
      "4 ohm" speaker may vary between 3r0 and 30r, with probable
      "average Z" or nominal Z = 4r0 
      between say 80Hz and 800Hz where most music energy exists. The Z
      variation within 80Hz to 
      800Hz F band may be 3r0 to 6r0, and resulting anode load is
      between 4k5 and 9k0 for the pair 
      of 845, with 6k0 being the Nominal average RLa.
      
      This means each 845 has loading between 9k0 and 18k0 with a
      nominal RLa = 12k0, as shown 
      in Fig 14 above.
      
      Fig 15. 1 x 845, Po vs RLa, two idle conditions.
      
      
      Fig 15 has 3 curves for two idle conditions. 
      A and B are for idle condition 1,050V x 70mA, and C is for 800Vdc
      x 90mAdc,
      
      Curves A and B show what happens with one 845 in SE55 at monobloc845se55.html 
      
      I found the SE55 could make absolute max Po of 60W with 30W from
      each 845. This is only 
      possible by pushing the tube beyond class A1 and into class A2
      operation which means driving 
      the grid 50V above 0V, with Vg = 141Vrms, or +/- 200Vpk. During
      class A2, grid current flows for 
      25% of the positive Vg going wave. 
      
      I used 3 x EL84 triodes paralleled to give source resistance 700r,
      so the driver can drive the low 
      grid input resistance with grid current. During A2, the coupling
      caps will charge to make grid bias 
      slightly more negative. I found that I could still get 30W from
      each 845, ie, 60W from the pair with 
      a continuous sine wave. 
      THD becomes slightly too high but I estimated that with music and
      before the charge in coupling 
      caps changed, wave peaks could be dealt with in class A2 without
      high THD. 
      Text books suggest all class A2 drive must be from direct coupled
      cathode follower or from a 
      transformer winding taken to a low resistance bias Vdc source.
      The  use of a coil of wire to bias 
      output tubes prevents any grid bias change due to grid current.
      Such a coil adds a time constant, 
      threatens LF stability. C&R coupling is fine for A1, and I
      found is OK for a slight amount of A2. 
      Use of 211 tubes means the amount of A2 is much greater so
      ordinary C + R grid drive does 
      not work so well. 
      
      Maximum theoretical class A1 Po with THD < 2% with GNFB is 25W
      with anode RLa 10k3. 
      
      All loads below 10k3 have Ia swing limited to +/- 70mApk. No class
      A2 can boost Po for these 
      lower RLa. But for loads above 10k3, the Ia swing in class A1
      begins to decline because Va 
      swing is limited by Ra curve for Eg1 = 0V, ie, the triode's "diode
      line" But Class A2 can boost 
      Po higher for the higher RLa by pushing grid positive to allow
      greater Va without Ia cut off, 
      hence Po max can be 30W in class A2, with anode efficiency
      reaching 41%, similar to a beam 
      tetrode. 
      
      Curve B shows the Po vs RLa for 1 x 845 with idle Ea 800Vdc x
      90mAdc. The Pda = 72W. 
      But max Po is 18W, and anode efficiency = 25%, and this is the
      classic example for feeble 
      class A1 triode Po. However, the 18W is with RLa 4k5, and an OPT
      for say 5k0 :4r0, 8r0, 
      16r0 can more easily be found. DF will be only just over 2.0, and
      THD is probably 5%. 18W 
      is very adequate Po for may hi-fi enthusiasts. If 12dB GNFB is
      used, expect sound to be very 
      good.
      
      Fig 16. SE 845 with RLa 5k5, 10k4, 22k0. 
      
      Fig 16 shows ABQCD loadline for 10k4, and probably the load which
      gives maximum 
      class A1 Po. If BQ = QC, then there is exactly +/-70mA change for
      Po 25.5W, with GNFB. 
      But we never will see BQ = QC for any triode where the input grid
      Vac has THD < 0.1%. 
      
      Loadline ABQCD has BQC for class A1 and RLa = 10k4, Ea min = 335V,
      Ia = 140mA. 
      Ea max =1,680V. 
      Ia swings are +70mA, -61mA.
      The Vapk = -728pk, +624Vpk, = 1,352Vpk-pk = 478Vrms, Po = 
      22W. 2H is 3.85%. 
      The use of a driver triode with say 2% 2H reduces 845 2H to 1.95%,
      and 12dB GNFB could 
      reduce this to less than 0.5%, to produce Ia swings +70mApk,
      -68mApk, to give Vapk-pk = 
      1,456Vpk-pk = 514.9Vrms for Po = 25.5W. 
      I have max class A1 Po at 25.0W in Fig 15 graph. 
      
      All of this is a guide only. But let us assume your attempt to
      build an amp with 1 x 845 gives 
      25W at the same 10k4 RLa and same Ea x Ia idle conditions. Expect
      to measure THD somewhere 
      between 0.5% and 2%, even with 12dB GNFB. The popular choice of a
      driver tube for 845 is 
      an EL34 triode, with Ia say 30mA, set up with choke feed similar
      to my SE55, but with Ea at 
      +400Vdc. Its 2H production may be different to my use of 3 x EL84
      in parallel. 
      
      Use of a nominal RLa = 12k0 ( Fig 14 ) instead of 10k4 will give
      Ia swings +62mApk, -56mApk, 
      for A1 Po = 20.8W, THD = 2.65. With GNFB, THD 0.5%, expect Po
      22.3W. But if the grid is 
      pushed to +22V, and with NFB, the the Ia swing can be increased to
      +/-70mApk, -68mApk, 
      and Po = 28.5W. 
       
      If the RLa = 22k, ( Fig 16 ), load line HIQJ, the class A1 Ia
      swings are +35mApk, -34mApk, 
      Po = 12.7W, and GNFB would raise this to 13.5W and about what is
      shown in Fig 15 graph. 
      THD should be less than 0.5%. The HIQJ line shows Vg could be
      pushed to +50Vdc for Ia 
      swings +45mApk, -44mApk, Po = 21.8W, increasing max Po x 1.6 over
      the class A1 Po max. 
      2H beyond class 1 and up to limit of class A2 will increase
      slightly, but there will be more 3H 
      because of gradual Va limiting before clipping when many HD begin
      to be produced to 
      increase THD exponentially. 
      
      In the SE55, I was able to get 60W at the output terminals from
      the pair of 845 with partial 
      class A2 operation, and OPT losses were estimated at 4%, so there
      was 62.4W at anodes, 
      and I didn't bother measuring Ek to see if Ek had risen say +15Vdc
      to increase Iadc to say 
      76mAdc. The tests to obtain the 60W result were done with
      continuous 1kHz sine wave up 
      to just over the clipping level. To better simulate performance
      with music, it is best to use pink 
      noise with its bandwidth limited for 20Hz to 20kHz. When your CRO
      shows occasional clipping 
      at peaks of noise, you have reached the maximum level possible for
      the amp without any 
      clipping seriously affecting hi-fi musical performance.
      
      For an amp rated for 60W for 4r0, Vo max = 15.5Vrms for a sine
      wave. But you will find that 
      a pink noise signal will produce occasional small amounts of
      clipping when measured Vrms 
      = 5Vrms, ie, at -10dB below Vo level, and when Po = 6W. If you
      played music signals which 
      measured 6W with a meter, you'd soon find just how loud that is
      with speakers rated for 
      90dB/W/M, because you would have average level of 101dB SPL, way
      above what is 
      acceptable at a live orchestral concert at best seat in the venue
      and with average SPL at 85dB. 
      When all amps are measured this way, a 300W amp has reached the
      point of musical clipping 
      when average level reaches 30W. 
      
      A single EL34 in triode making 5W max will operate at max for
      hi-fi when Po = 0.6W. 
      I find excellent music is possible with a speaker rated at
      90dB/W/M and only 1M away. I can 
      tune from one FM radio station to another, from a piano recital or
      popitty-krappity peurile music 
      with the SAME measured level, but including much bass, and it all
      sounds well. But a single 
      EL84 in pentode mode making the same level tends to sound like it
      is struggling. 
      
      I know a guy who has 845 amps with just 1 x 845 for about 20W max,
      and I doubt he ever 
      uses more than 2W, so Po mas is enough. 
      The 845 will sound a bit better than a single 6550. The use of 845
      is not for high Po and it is 
      about sound quality at low to medium Po. 
      
      The purpose is to be able to hear music which is emotionally
      engaging. Tubes do this very well. 
      And it is almost impossible to make a bad sounding triode amp,
      providing it is used well below 
      clipping levels. The maximum Po for the amp is often cited as
      being important when buying an amp. 
      There is a huge sub-conscious reluctance to buy low power costing
      a high number of $$$$. 
      90% of listeners have no idea how small power levels are during
      normal long listening sessions 
      with music or home theater. I once had a customer who had two
      Yamaha 2200 solid state power 
      amps each good for 200W per channel to drive a pair of huge JBL
      monitor speakers each with 
      2 x 15" woofers plus horn HF units rated for 95dB/W/M - in a tiny
      room about 4M x 4M. 
      I was called in to test one of the beryllium coned tweeters in
      horns which was found to have 
      cracked with metal fatigue. I suggested he try a pair of 20W tube
      amps. He may have been 
      surprised, and I said a single 300B would be fine for both
      channels But he was so prejudiced 
      against tubes that he turned down this idea when I gently
      suggested it. OK. He spent 10 hours 
      in a gym each week, so he liked his possessions to have power like
      his body. 
      Each unto their own. How power is used is the interesting issue
      IMHO. 
      
      The Po available from 845 is similar to what may be had from a
      211. The 211 requires similar 
      idle Ea and Ia conditions because its Pda max rating is the same
      as 845. 211 definitely needs 
      cathode follower grid drive, but gives a suitable initial amount
      of  class A1 Po before class A2 
      action commences. 
      
      Afaik, all 211 have tungsten cathodes and definitely are quite
      safe to use with Ea at idle 
      = 1,250Vdc and Ia = 60mAdc for Pda = 75W. Fixed Eg1 bias should be
      used. The high Ea 
      means there is no need to use a cathode follower driver; you will
      get a nice 20W in class A1, 
      but you need RLa = 20k. Very few SE OPTs have been made to suit a
      20k primary load. 
-------------------------------------------------------------------------------------------------------------------------
      Fig 17. GM70. Ra curves, Ea vs Ia. 
      
      I have not built an amp with GM70, but it deserves a mention. It
      has Ra similar to an 845, 
      but curves indicate µ = 8.0 and gm about 1.5 times 845. So whoever
      designed GM70 made 
      a more gutsy version of 845. The higher gm indicate more cathode
      emission than 845, and 
      GM70 needs nearly twice the heating power to give the emission
      from thoriated tungsten 
      cathode, 20V x 3A, more than the 10V x 3.3A for 845. So 60W is
      needed just to warm GM70. 
      The GM70 Pda rating for continuous operation = 125W, with 150W
      stated as OK if not 
      sustained for more than 1 minute. One would assume that after
      being at 150W for 1 minute, 
      it should have no power for the next minute. 125W is a lot for any
      SE class A when you 
      consider total heat including cathode will be 165W. GM70 was
      developed well after the 845 
      and its production history is not widely known. It is known that
      it had a short service life in 
      typical military applications where the costs of tube longevity
      were not important where an 
      important job function was to be achieved. Typical life was 1,000
      hours which we may
       base on 125W Pda. If an audiophile uses the tube for 5 hours
      a day, expect GM70 to last 
      only 6 months. But if idle Pda = 70W, we might expect twice the
      lifetime so maybe you get 
      1 year of life. This is about 1/5 of what I have seen for many
      other power tubes. 4 x EL34 
      in triode will do slightly more than one GM70, 845, 211, or 13E1,
      perhaps be a lot cheaper 
      and less worry over time. 
      
      I show GM70 Pda curve for 80W which is probably safe for SE class
      A1. 
      
      The Ra at 80mA and 1kV = 1k9. The spacing between Ra curves from
      Eg 0V to -240V is 
      fairly constant, so the 2H along horizontal Ia lines at 50mA,
      100mA and 150mA is probably 
      < 1%. For Q at 1,000V x 80mA, and where Eg = -100V, and for Vg
      = +/-100Vpk, Va swings 
      = -802Vpk, +798Vpk. Average µ = Vapk-pk / Vgpk-pk = 1,600V / 200V
      = 8.0. 
      gm = µ / Ra = 8.0 / 1,900r = 4.2mA/V. 
      
      My Ra graph is not what I have measured but is very carefully
      copied from an online data 
      sheet which does not have any source identification. The tiny
      amount of online data 
      accompanying the Ra curves has gm 6mA/V at 1,000V x 125mA where
      curves tell me Ra = 1k8. 
      If that is true, µ = gm x Ra = 0.006 x 1,800r = 10.8, and this
      cannot be true because the µ at 
      125mA will not me much more than 8.0 at 80mA. So the data words
      are bullshit. 
      There is SO MUCH BULLSHIT online than if you believe it all, you
      are a fool. From the small 
      amount of data available, and the plausible accounts of use of
      GM70, I can show some load 
      lines....
      
      Fig 18. GM70, RLa = 7k0, 9k6, 14k0, at +980Vdc x 70mAdc, Eg1 =
      -100Vdc. 
      
      GM70 seems to have very nice Ra curves like 845, and THD for the 3
      different RLa is 
      what we can expect from a good triode. Idle Pda = 980V x 70mA =
      68.6W. ABQCD is the 
      line for maximum class A1 Po, and driving grid positive for a
      small amount of class A2 will 
      not increase Po very much. The 14k0 load can only give 17W in A1,
      but with 12dB NFB 
      and a driver with some 2H could be extend the Va swing to so that
      Ia can be +/- 63mApk 
      so Po could reach 27W. 
      
      One website online page at jac.music talks about GM70 being much
      better than 845. 
      There is no date on the article, no contact email address, just a
      subscription panel to get 
      e-mail from them. The author at this site says 845 MUST NOT be
      idled above 75W. I agree. 
      But then he says that the reason is that during class A SE use,
      the anode signal current flows 
      in Ra "which is within the anode" and heats the anode to well over
      75W. 
      
      Well, we all know Pd = I squared x R. But he is quite wrong,
      because during all class A action 
      the power from PSU remains constant at say 75W, and when the tube
      makes 20W of audio 
      power, the tube heat reduces to 55W; the anode runs cooler. The
      idea that Pda with Vac 
      signal increases during class A is 100% bullshit. The Pda
      increases only in class AB, B or C amps. 
      The current in Ra has an average level which reduces during class
      A. The heat of the tube is 
      just the effect of electrons flowing from cathode to anode and
      heat is radiated as a result. 
      The anode is a metal box with very low resistance and the Pda due
      to current flow in anode 
      is negligible, so heat must be radiated from the empty space with
      electrons, and from the 
      conversion of kinetic energy of speedy electrons when they hit the
      anode and are absorbed. 
      All electron flows in space or in materials such as silicon in SS
      devices and in wire, and 
      resistance all cause heat to be generated, and lost as wasted
      energy. 
      
      In GM70 without any Vac, you have a flow of 70mAdc across empty
      space with 980Vdc 
      difference, so DC resistance = 980V / 0.07A = 14.0k. The heat
      liberated = 980V x 0.07A 
      = 68.6W. At DC, the GM70 acts just like a resistance but the grid
      alters this resistance when 
      an RL is in series between anode and B+. Consider 10k RLa across a
      choke delivering Idc to 
      anode. With no Vac present, power supply delivers 68.6W, and this
      remains constant 
      regardless of the power in the load. If the anode generates
      447Vrms applied to 10k, output AF 
      Po = 20W. No power is consumed by choke, and the triode Pda
      reduces by 20W to 48.6W, so 
      the GM70 runs cooler as output Po increases. GM70 was designed for
      high PP power low idle 
      Pda. In this case, just as in all PP amps, total Pda for 2 tubes
      may be 40W at idle, but increase 
      to 250W while generating 500W of output Po, with power supply
      delivering 750W of DC power 
      if class AB anode efficiency = 66%.
------------------------------------------------------------------------------------------------------------
      13E1 is a beam tetrode which can have idle Pda + Pdg2 = 72W
      absolute maximum for pure 
      class A1. The manufacturer data says max Pda rating is 90W, but
      all samples I tested would 
      develop red hot anodes if Pda+g2 went above 75W. The 13E1 is a
      beam tetrode with two 
      large indirectly heated cathodes side by side. It was designed as
      a general purpose beam 
      tetrode suitable for wide range of industrial applications, radio
      and TV transmission. It was 
      also deliberately designed to work with screen Vdc to not need to
      be any higher than 200Vdc, 
      and not need to be driven into class A2, AB2 with grid current. A
      pair of PP 13E1 are capable 
      of 300W in PP with a up to 800Vdc. The use in pure class A SE
      tetrode, triode or UL mode is 
      not as good as for other tubes such as 6550 or EL34 because THD is
      much higher. 
      However, they become quite excellent if set up with local CFB and
      with a low screen Vdc as 
      I show at monobloc-se32-13e1-cfb-2012version.html
       
      Because of the design for low Eg2, triode connection with Ea = Eg2
      cannot exceed 375Vdc 
      absolute maximum because the grid bias Vdc needs to be very
      negative, and the Ra curves 
      show very uneven spacing of Ra curves which indicate the grid has
      trouble controlling Ia 
      where Va is high. 
      
      Fig 19. 13E1 triode Ra curves
      
      Fig 19 shows the crowding together of Ra curves above 350Vdc. For
      a CCS load = 100mA,
      and a Q point at 350Vdc, for Vg1 swing +/- 80Vpk, Va swing =
      -320Vpk, + 277Vpk, 2H = 6.4%. 
      This is 3 times higher than for many other real triodes or
      tetrodes / pentodes strapped as 
      triodes. Average µ g1 = 3.54, and Ra at 350V x 100mA = 450r, gmg1
      = 7.87mA/V. 
      At Ea = Eg2 = 345V x 200mA, Eg1 = -70Vdc, µ = 4.0, Ra = 300r, gmg1
      = 13.3mA/V. 
      I have met people who have used 13E1 in OTL amps because they have
      a high peak current 
      ability of maybe 1A. A PP series pair in class B could produce
      1Apk for 8W to 16r0 speaker. 
      The linearity will be very bad and 40dB of NFB is needed. But the
      triode idle condition could 
      be +175V x 50mAdc, Idle Pda = 18W, two tubes, and this rises to
      60W when 8W of audio Po 
      is produced. To understand the foolishness of OTL amps, read OTL-amps-pros-cons.html
      
      Fig 20. 13E1 triode, RLa loads for 2 different Q points.
      
      Fig 20 shows Q points, both at Pda+g2 = 68W approx. Consider ABQCD
      load with 
      Q point = 375V x 180mA. I tried this in 1997. I remember the THD
      was high, and Pda could 
      not be much above 72W for triode or UL or else anode glowed red.
      UL with g2 tap at 66% 
      did work best to give the most class A1 Po and give THD without
      much of the high number H 
      which occurs with pure beam tetrode with Eg2 at same Ea of
      +375Vdc. UL Ra was about 600r, 
      and there was more class A1 than triode, about 25W, because the Va
      could swing closer to 
      points A and D. In triode, it may be possible to push g1 to +10V
      and use GNFB to get slightly 
      wider Va swing and maybe get higher Po. But without slight class
      A2 operation, and only 12dB 
      GNFB, and with driver tube making 2% 2H at +/-80Vpk expect THD =
      1.4%. The first 13E1 UL 
      amp I made is discussed at MonoblocSE25.html
      I found it better to use this tube in beam tetrode mode with CFB,
      
      see monobloc-se32-13e1-cfb-2012version.html
---------------------------------------------------------------------------------------------------------------------
      General Summary. 
      Single triodes make good amplifiers, but they cannot do all that
      is wanted. I have seen 
      people build 1.5W amps using a tube that was discussed at a
      website and they try to 
      build a pair of horn loaded speakers with a pair of Lowther "full
      range" drivers. 
      They battle for 3 months with the woodwork with a terrible tool
      kit, and then they find 
      the sound is just dreadful. The horn loaded design just does not
      do what the online 
      promoter said it would, and bass is non existent. So they end up
      with expensive fire 
      wood, and the power amp could only ever be a headphone amp, but
      only if they know 
      how to make one of those properly. 
      
      Most of my listening is done with a 5W SET amp in a kitchen radio,
      using a 1953 
      300mm driver in a reflex bass box, with a dome tweeter, all
      carefully equalized, and with 
      GNFB in the amp. See details at Kitchen-AM-Radio-2015.html
      
      
      But many ppl want to fill a lounge room with much louder sound
      equal to being at a 
      live concert performance with 50 musicians or singers only 5
      meters away. If they have 
      average modern speakers with lower sensitivity than what was
      available in 1953, they 
      need much more than a 5W amp. More like 300W amps are needed to
      cover natural dynamic 
      music range without the limiting of peak power so typical of
      recorded music. For those into 
      heavy rock and roll, I suggest a solid solid state amp with at
      least 100W per channel. 
      Most rock and pop music is hugely "processed" to make it sound
      better than any of the 
      performers could achieve without electronics and digital effects
      added. Use of expensive 
      triode amps won't make over processed recordings of puerile
      screaming head basher "music" 
      sound any better. 
      
      Hi-fi is preserving the acoustic music meant to be heard in front
      of audiences with no 
      electronic enhancement using overloaded devices to add harmonic
      content. Most people 
      will not enjoy having 50 performers crammed into their little
      homes, and they like to sit well 
      away from 50 performers on a stage in a big hall. The audience
      will cope enjoyably with all 
      musicians busy or just one violinist. There is no law against use
      of electronics on stage or in 
      a recording studio. Alice Giles is a fabulous harp player, and I
      heard her on stage once using 
      a harp with a pile of electronics beside her, including a
      sub-woofer - and the result was 
      fabulously musical, but never tricked up and fake. This kind of
      electronic use is very different 
      to a punk band in a hotel using all amps turned up full to make
      the most deafening 
      garbological noise ever to have been heard.
      
      SE amps sometimes do provide "color" for the sound heard, and
      change of brands of tubes 
      used may change the color. This may lead to endless tube and amp
      changes to find the 
      ultimate experience. It is audio promiscuity. I have seen rational
      men change amps and 
      speakers every year and sometimes every 6 months. By comparison,
      I've been happy with a 
      kitchen radio, mono sound, and ABC Classic FM giving me access to
      better music that I could 
      ever choose elsewhere for myself. The FM hifi standard of 20Hz to
      15kHz has always been 
      quite acceptable for myself and millions of others. 
      
      The LP can often sound better than the very best digital
      recording. Hi-fi came into being in 
      about 1949 with invention of LP and good moving coil pickups. Much
      music was recorded using 
      tubes in tape recorders, and LPs were cut using tube amps to power
      a cutting head. 
      Tape recording excelled and home hi-fi often allowed closer
      connection to performers than if 
      people attended a concert. The best of recordings made with all
      analog gear was often better 
      than much made later using digital methods. I am a bit stuck in
      the past, and I have never ever 
      needed the high power and flashy expensive hyped up expensive
      stuff pushed at us at a shop 
      called Consumania. I learnt how to make amplifiers far better than
      anything I could buy, and if 
      I wanted something different, I just went to my shed and made it.
      Fortunately, there were enough 
      parts available to avoid making tubes, capacitors, resistors,
      switches, tubes and solid state 
      devices. 
      
      Whatever color is added by the tubes is usually acceptable; the
      range of differences heard 
      are rather like the range of flavours we may find in 6 bottles of
      Shiraz from 6 different wine 
      makers. All are drinkable, perhaps some different / better / worse
      than one another. 
      Of course it is well known that a group of wine experts can be
      fooled when a glass is filled 
      from a bottle costing $10 and told it came from a hallowed old
      vineyard, and had cost $3,000. 
      They'll only praise the plonk if they know its expensive.   
      
      I never drink now, but when I did, each glass had its delights,
      but the alcohol was the key to 
      delights. The music itself should be like the alcohol, and amps
      may make it taste slightly different. 
      Unlike alcohol, you can drink 6 bottles of Mozart a day without
      ill effects, and generally, triodes 
      serve it very nicely. 
      
      I cannot dictate to anyone what kind of amp they should have, but
      I would always suggest 
      to anyone they could try some tubes......
      
      In an earlier edition of this page, I showed methods of testing
      IMD of SE triodes. 
      This info has been moved to thd-measurement.html
      
      You are at 
      LOAD MATCHING 1, SE
          TRIODES
      
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          4A, PP TETRODES and PENTODES
        
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          4B, PP TETRODES and PENTODES 
        
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          4C, PP TETRODES and PENTODES 
        
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