benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--11391▌ posts · files
MMLU-Pro / 11391 / A 500 kW, 600 V dc, 12 phase synchronous converter operates as a direct…
Problem
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question
A 500 kW, 600 V dc, 12 phase synchronous converter operates as a direct converter at a full efficiency of 92 per cent and a power factor of 0.93. Calculate: (a) The ac voltage between slip-rings (b) The dc output current (c) The ac current drawn from a 12-phase transformer-fed supply. POLYPHASE SYNCHRONOUS CONVERTER RELATIONS QUANTITY 1-PHASE, 3-PHASE, 6-PHASE, 12-PHASE, 2-RING 3-RING 6-RING 12-RING E_ac between rings 0.707Edc 0.612Edc 0.354Edc 0.182E_dc l_ac\textasteriskcentered in rings 1.414Idc 0.943Idc 0.472Idc 0.236I_dc \delta, electrical degrees between taps 180 120 60 30 Ttaps per pole pair 2 3 6 12 \textasteriskcenteredAt unity power factor 100 per cent efficiency. Table 1
category
engineering
options
- (a) 109 V, (b) 833.3 A, (c) 229.5 A
- (a) 180 V, (b) 850 A, (c) 234 A
- (a) 140 V, (b) 760 A, (c) 210 A
- (a) 120 V, (b) 800 A, (c) 220 A
- (a) 110 V, (b) 820 A, (c) 225 A
- (a) 200 V, (b) 900 A, (c) 250 A
- (a) 150 V, (b) 750 A, (c) 200 A
- (a) 160 V, (b) 890 A, (c) 245 A
- (a) 130 V, (b) 780 A, (c) 215 A
- (a) 96 V, (b) 870 A, (c) 240 A
src
stemez-ElectricalMachines
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Source and history
- upstream_id / Original problem ID
- 11391
- task_id
4b64b49b-efa4-5945-a2e4-9afb4ed77b9f- task_key
default--test--11391- task_revision_id
- 1
- config / split
- default / test
initial import