Modal analysis representation of multi-inertia turbogenerators

Harley, R.G.; Jennings, G.D.; Levy, David

doi:10.1016/0378-7796(84)90033-6

Cited by 5 publications

(2 citation statements)

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“…Figs. 6, 9 and 11 are calculated for only one generator as a base case which is the same station representation that has been used in the previous studies [1][2][3][4][5][6][7][8][9][10][11]. Figs.…”

Section: Resultsmentioning

confidence: 99%

“…The present line is rated at 400 kV and is equipped with series capacitor compensation. The possibility of subsynchronous resonance (SSR) occurring in this system has been investigated and reported elsewhere [1]; this first paper has been followed by many others dealing with topics such as system modelling, multi-machine SSR and possible SSR countermeasures [2][3][4][5][6][7][8][9][10][11]. All previously reported investigations were based only on the first 1072 MVA generator at this power station; however, a second identical generator is currently being commissioned.…”

Section: Introductionmentioning

confidence: 99%

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Subsynchronous resonance of a power station with two identical generating units

Jennings

Harley

Levy

1986

IEE Proc. C Gener. Transm. Distrib. UK

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The paper investigates the effect of adding a second 1072 MVA turbogenerator to an existing one in a power station feeding a series capacitor compensated transmission line. In carrying out the investigation, the new two-generator system is modelled as one equivalent generator with increased capacity, and also as a multimachine system with two separate generators. A comparison of these models shows that, for this type of stability study and this transmission system configuration, there is no advantage gained in modelling the two generators separately rather than as one equivalent generator. The results further show that conditions can exist where the system is stable with one generator but unstable with two, and vice versa. List of principal symbols d, q = d, g-axis of a machine rotating reference frame D, Q = D, Q-axis of the synchronously rotating reference frame [D] = shaft damping matrix [G] = rotational voltage inductance matrix H = inertia constant in seconds i = vector of axis currents [/] = identity matrix [J] = shaft inertia matrix [X] = shaft stiffness matrix [L] = machine inductance matrix N = compensation level p = derivative operator d/dt P t = generator terminal power [A] = machine resistance matrix s ( = ith natural frequency T = forcing torque vector T e = electric torque T m = shaft mechanical torque v = vector of axis voltages V b = infinite bus voltage V t = generator terminal voltage H>,-= ith mode shape vector X c = transmission line capacitive reactance 0 = null vector q> = flux linkage A = small change operator ) H = ith eigenvalue 8 = rotor angle vector co 0 = system frequency in rad/s (electrical) co = angular velocity of rotor in rad/s (electrical)

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