Analysis of Asynchronous Operating Conditions of Synchronous Machines Using Classical and Electromagnetic Models
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ORIGINAL CONTRIBUTION
Analysis of Asynchronous Operating Conditions of Synchronous Machines Using Classical and Electromagnetic Models Avik Ghosh1 • Arabinda Das2 • Subimal Roy Barman3 • Amarnath Sanyal4
Received: 7 May 2019 / Accepted: 20 September 2020 The Institution of Engineers (India) 2020
Abstract Analysis of asynchronous conditions in a synchronous machine was initially made by classical method following the generalized machine theory. Later on, it took a turn after the advent of solid iron rotor/solid iron poleshoe. It was noted that there is a discrepancy between computed and actual quantities between results obtained by the classical and the non-classical model. It was gradually understood that the reason behind this discrepancy was the effect of distributed eddy currents in the solid metallic parts. Authors like B.J. Chalmer, B. Adkins, A. Canay, and others, contributed much to the analysis of asynchronous conditions by adopting new techniques. The paper presents the methodology for using these techniques to estimate the asynchronous variables under loss of excitation (LOE), also to find the same by classical method based on generalized machine theory.
& Arabinda Das [email protected] Avik Ghosh [email protected] Subimal Roy Barman [email protected] Amarnath Sanyal [email protected] 1
Electrical Engineering Department, Ideal Institute of Engineering, Kalyani, Nadia, West Bengal, India
2
Electrical Engineering Department, Jadavpur University, KolkataWest Bengal, 700032, India
3
WBSETCL, SLDC, Howrah, West Bengal 711103, India
4
Calcutta Institute of Engineering and Management, 24/1A, ChandiGhosh Road, Kolkata, West Bengal 700004, India
Keywords Synchronous machine Asynchronous condition Solid iron rotor Solid iron pole-shoe Distributed eddy current List of symbols rae ¼ ra þ re Equivalent resistance of armature, including that of generator bus to grid xae ¼ xa þ xe Equivalent leakage reactance of armature, including that of generator bus to grid Xmd ; Xmq d-axis and q-axis magnetizing reactance rf ; x f Resistance and leakage reactance of field circuit rkd Slip-dependent impedance of the d-axis þ jx kd s damper rkq þ jx Slip-dependent impedance of the q-axis kq s damper s,x, f Slip, angular frequency, frequency Lfkd Reactance due to partial linkage between field and d-axis damper Xd , Xq d-axis synchronous reactance, q-axis synchronous reactance 0 Xd d-axis transient reactance 00 00 Xd Xq d-axis sub-transient reactance, q-axis subtransient reactance 0 Tdo d-axis open-circuit transient time constant 0 Td d-axis short-circuit transient time constant 00 Tdo d-axis open-circuit sub-transient time constant Td00 d-axis short-circuit sub-transient time constant 00 Tqo q-axis open-circuit sub-transient time constant Tq00 q-axis short-circuit sub-transient time constant Xe Armature leakage reactance
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J. Inst. Eng. India Ser. B
Vg ; V Ia ; /
Generator terminal/infinite bus voltage Armature current, its phase angle
Abbreviation LOE Loss of excitation
Introduction Synch
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