Damping Concordance
Damping
Section titled “Damping”Concordance status: generated from processed OCR/PDF text. Treat these as source-location aids until each passage is checked against the scan.
175 hits
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10 sources
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38 sections
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Matched Aliases
Section titled “Matched Aliases”damped, damping, decrement, logarithmic decrement
Source Distribution
Section titled “Source Distribution”| Source | Hits | Sections |
|---|---|---|
| Theory and Calculation of Transient Electric Phenomena and Oscillations | 66 | 20 |
| Theory and Calculation of Electric Circuits | 33 | 4 |
| Elementary Lectures on Electric Discharges, Waves and Impulses, and Other Transients | 21 | 4 |
| Elementary Lectures on Electric Discharges, Waves and Impulses, and Other Transients | 19 | 3 |
| Theory and Calculation of Alternating Current Phenomena | 12 | 1 |
| Theory and Calculation of Alternating Current Phenomena | 12 | 1 |
| Theory and Calculation of Electric Apparatus | 6 | 1 |
| Theoretical Elements of Electrical Engineering | 2 | 1 |
| General Lectures on Electrical Engineering | 2 | 2 |
| Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co. | 2 | 1 |
Section Hits
Section titled “Section Hits”Representative Source Snippets
Section titled “Representative Source Snippets”Chapter 18: Oscillating Currents - 16 hit(s)
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... even in comparison with the time of one alternating half-wave. Characteristic con- stants of the oscillating current are the period, T, or frequency, / = 7p, the first amplitude and the ratio of any two successive amplitudes, the latter being called the decrement of the wave. The oscillating current will thus be represented by the product of a periodic function, and a function decreasing in geometric proportion with the time. The latter is the exponential function, A^"<". 343 344 ELECTRIC CIRCUITS 182. ...Chapter 11: Instability Of Circuits: Induction And Syn Chronous Motors - 15 hit(s)
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... n shows the oscillation of speed corresponding to the oscillation of position. The dotted curve, Wi, then shows the energy losses resulting from the oscillation of speed (hysteresis and eddies in the pole faces, currents in damper windings), that is, the damping power, assumed as proportional to the square of the speed. If there is no lag of the synchronizing force behind the position displacement, the synchronizing force, that is, the force which tends to bring the rotor back from a position behind or ahead of ...Chapter 6: Transition Points And The Complex Circuit - 13 hit(s)
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... (269) it then follows that ul + sl = u2 + s2 = M3 + s3 = . . . = un + sn = w0, (276) where w17 w2, w3, etc., wn are the time constants of the individual sections of the complex circuit, ^ ( 7 + ^ )> an<^ uo may ^e callet^ 2 \L LI the resultant time decrement of the complex circuit. 45. Equation (269), by canceling equal terms on both sides, then assumes the form A1e+'>*' cos [q (^- t) - «J - 5^— '*« cos [g (^, + 0 - &] = A2^+S2^ cos b (A - 0— «21 - ^2^"S2Al cos [q (^ + t) - ft], and, resolved for cos <# an ...Chapter 30: Quartbr-Fhase System - 12 hit(s)
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... even in comparison with the time of one alternating half- wave. Characteristic constants of the oscillating current are the period T or frequency .■V= 1/7", the first ampli- tude and the ratio of any two successive amplitudes, the latter being called the decrement of the wave. The oscil- lating current will thus be represented by the product of s^ s: "-^^ A 7' S;~-- X" Ji~ S.' ^i ..-:^-~-^--_ Z ^ _--" \.z-- "■"Sfcit ^' ..335 .g^.- a periodic function, and a function decreasing in geometri ...Chapter 32: Quarter-Phase System - 12 hit(s)
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... even in comparison with the time of one alternating half- wave. Characteristic constants of the oscillating current are the period T or frequency N = 1/7", the first ampli- tude and the ratio of any two successive amplitudes, the latter being called the decrement of the wave. The oscil- lating current will thus be represented by the product of V ^ ! I"**' \ ^ -. \ / S r~~ -- __ 1 > \ 180 / 3W \ MO ^ ^-1 raT X — — TWO — J j»W8Q \ / \ . ___ ^. •^-i ...Chapter 4: Traveling Waves - 12 hit(s)
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... een in Chapter III, especially in electric power cir- cuits, overhead or underground, the longest existing standing wave has a wave length which is so small compared with the critical wave length — where the frequency becomes zero — that the effect of the damping constant on the frequency and the wave length is negligible. The same obviously applies also to traveling waves, generally to a still greater extent, since the lengths of traveling waves are commonly only a small part of the length of the circuit. Usually ...Lecture 8: Traveling Waves - 10 hit(s)
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... a circuit storing energy in the dielectric and magnetic field, current and voltage are given by the expression i = ioe-"^ cos ((/> T CO — 7), ^ . . e = eoe~"' sin ((^ =F co — 7), where <j) is the time angle, co the distance angle, u the exponential decrement, or the "power-dissipation constant," and ^o and eo the maximum current and voltage respectively. The power flow at any point of the circuit, that is, at any dis- tance angle co, and at any time t, that is, time angle 0, then is p = ei, = eo^e~2"* cos ...Lecture 8: Traveling Waves - 10 hit(s)
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... ient of a circuit storing energy in the dielectric and magnetic field, current and voltage are given ^by the expression i = iQe~ut cos (0 T co - 7), ) e = e0e~ut sin (</> T co — 7), ) where 0 is the time angle, co the distance angle, u the exponential decrement, or the "power-dissipation constant," and i0 and eQ the maximunl current and voltage respectively. The power flow at any point of the circuit, that is, at any dis- tance angle co, and at any time t, that is, time angle <£, then is p = ei, = e0ioe~2ut ...Chapter 6: Oscillating Currents, - 7 hit(s)
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... trodynamic generation. It becomes of importance, therefore, to investigate whether by the use of the condenser discharge the range of frequencies can be extended. Since the oscillating current approaches the effect of an alternating current only if the damping is small, that is, the resistance low, the condenser discharge can be used as high frequency generator only by making the circuit of as low resist- ance as possible. 67 68 TRANSIENT PHENOMENA This, however, means limited power. When generating oscil ...Chapter 9: Inductive Discharges - 7 hit(s)
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... lectric, speed of propagation in 422 Closed circuit transmission line 306 Col al 392, 394 Commutation and rectification 222 as transient phenomenon 40 Commutator, rectifying 229 Complex circuit, of waves 498 power and energy 513 resultant time decrement 504 traveling wave 468 Compound wave at transition point 532 Condenser, also see Capacity. charge, inductive 18 noninductive 18 circuit of negligible inductance 55 equations 48 oscillation, effective value of voltage, current and power. ... 70 ...Chapter 18: Surging Of Synchronous Motors - 6 hit(s)
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... variation of the phase relation between e and to, and correspond- ing variation of speed and current occurs, of an amplitude and period depending upon the circuit conditions and the mechanical momentum. If the amplitude of this pulsation has a positive decrement, that is, is decreasing, the motor assumes after a while a constant position of e regarding ea, that is, its speed becomes uniform. If, however, the decrement of Hie pulsation is negative, an infinitely small pulsation will continuously increase in amplit ...Lecture 9: Oscillations Of The Compound Circuit - 5 hit(s)
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... in velocity measure) Xi, X2, X3 . . . , this entire circuit, when left to itself, gradually dissipates its stored energy by a transient. As function of the time, this transient must decrease at the same rate Uq throughout the entire circuit. Thus the time decrement of all the sections must be Every section, however, has a power-dissipation constant, Ui, U2, U3 . . . , which represents the rate at which the stored energy of the section would be dissipated by the losses of power in the section, t , t , t ... But ...Lecture 9: Oscillations Of The Compound Circuit - 5 hit(s)
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... in velocity measure) Xi, X2, X3 . . . , this entire circuit, when left to itself, gradually dissipates its stored energy by a transient. As function of the time, this transient must decrease at the same rate u0 throughout the entire circuit. Thus the time decrement of all the sections must be 6-**. Every section, however, has a power-dissipation constant, u\t Uz, u3 . . . , which represents the rate at which the stored energy of the section would be dissipated by the losses of power in the section, €-"»', €-«*' ...Chapter 5: Resistance, Inductance, And Capacity In Series Condenser Charge And Discharge - 5 hit(s)
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... and by (48) and (55) : CONDENSER CHARGE AND DISCHARGE 65 43. Due to the factor e ' , successive half waves of oscilla- tion decrease the more in amplitude, the greater the resistance r. The ratio of the amplitude of successive half waves, or the decrement of the oscillation, is A = e 2L \ where tl = duration of one half wave or one half cycle, = -— . 2/ A a.o 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Fig. 15. Decrement of Oscillation. Hence, from (50), and Denoting the critical resistance ...Lecture 4: Single-Energy Transients In Alternating Current Circuits - 4 hit(s)
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... e transient pulsation of armature reaction appears with reduced amplitude in the field current, and this reduction is the greater, the poorer the mutual inductance, that is, the more distant the field winding is from the armature wind- ing. In Fig. 22(7 a damping of 20 per cent is assumed, which corresponds to fairly good mutual inductance between field and armature, as met in turboalternators. If the field-exciting circuit contains inductance outside of the alternator field, as is always the case to a slight ext ...Lecture 4: Single-Energy Transients In Alternating Current Circuits - 4 hit(s)
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... e transient pulsation of armature reaction appears with reduced amplitude in the field current, and this reduction is the greater, the poorer the mutual inductance, that is, the more distant the field winding is from the armature wind- ing. In Fig. 22(7 a damping of 20 per cent is assumed, which corresponds to fairly good mutual inductance between field and armature, as met in turboalternators. If the field-exciting circuit contains inductance outside of the alternator field, as is always the case to a slight ext ...Chapter 2: Discussion Of General Equations - 4 hit(s)
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... e oscillation of the circuit, in which the stored energy of the circuit is dissipated, but no power supplied one way or the other — that is, if h = 0, from equation (56) s = 0; that is, both waves coincide and form one, which dies out with the time by the decrement e~ut. It thus follows: In general, two waves, with their reflected waves, traverse the circuit, of which the one, i", e", increases in amplitude in the direction of propagation, but dies out corre- spondingly more rapidly in time, that is, faster than a ...Chapter 7: Power And Energy Of The Complex Circuit - 4 hit(s)
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... being the distance coordinate of the circuit section in any measure, as miles, turns, etc., and r, L, g, C the circuit constants per unit length of I, a- = VIC, u = -(-=• + — ) = time constant of circuit section, 2 YL/ C ' UQ= u + s = resultant time decrement of complex circuit, s = u0 - u = energy transfer constant of circuit section. 613 514 TRANSIENT PHENOMENA The instantaneous value of power at any point X of the circuit at any time t is p = ei [A cos q(X-t) + B sin q (X - t)]2 [C cos q (X + 0 + ...