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Summary of significant accounting policies - Depreciation and Electric plant (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Depreciation      
Depreciation expense $ 278,452 $ 269,280 $ 242,822
Regulatory assets $ 1,212,305 $ 1,008,790  
Electric plant      
Allowance for funds used during construction (as a percent) 4.03% 3.90% 4.00%
Steam production      
Depreciation      
Annual depreciation rates (as a percent) 13.77% 14.47% 2.58%
Steam production | Minimum      
Depreciation      
Remaining life of the plant 20 years    
Steam production | Maximum      
Depreciation      
Remaining life of the plant 22 years    
Nuclear production      
Depreciation      
Annual depreciation rates (as a percent) 2.17% 2.18% 1.93%
Nuclear production | Minimum      
Depreciation      
Remaining life of the plant 12 years    
Nuclear production | Maximum      
Depreciation      
Remaining life of the plant 27 years    
Hydro production      
Depreciation      
Remaining life of the plant 44 years    
Annual depreciation rates (as a percent) 2.00% 2.00% 2.00%
Other production      
Depreciation      
Annual depreciation rates (as a percent) 2.68% 2.60% 2.61%
Other production | Minimum      
Depreciation      
Remaining life of the plant 17 years    
Other production | Maximum      
Depreciation      
Remaining life of the plant 26 years    
Transmission      
Depreciation      
Annual depreciation rates (as a percent) 2.75% 2.75% 2.75%
Transmission | Minimum      
Depreciation      
Remaining life of the plant 12 years    
Transmission | Maximum      
Depreciation      
Remaining life of the plant 27 years    
General | Minimum      
Depreciation      
Remaining life of the plant 1 year    
Annual depreciation rates (as a percent) 2.00% 2.00% 2.00%
General | Maximum      
Depreciation      
Remaining life of the plant 43 years    
Annual depreciation rates (as a percent) 33.33% 33.33% 33.33%
Wansley      
Depreciation      
Depreciation expense $ 8,120    
Wansley | Depreciation expense      
Depreciation      
Deferred depreciation expense 165,013 $ 204,891  
Regulatory assets $ 361,784 $ 204,891