Germany's Friday base-load was up 1.1 euros a megawatt hour at 40.35 euros/MWh and the equivalent French contract was 0.15 euros up at 48.75 euros/MWh.
German wind power production was expected to drop by 1.4 GW on Friday, according to Thomson Reuters Point Carbon data.
The country's solar electricity output was also forecast to drop, by 930 MW.
German power consumption was seen falling by 970 MW, but that was more than offset by a 1 GW increase in French electricity demand.
Temperatures were seen falling by 1.6 degrees Celsius in France on average between Thursday and Friday, while in Germany temperatures were expected up 0.3 degrees.
Along the forward curve, prices edged down on lower EU carbon prices.
Germany's Cal' 16 base-load power contract, the benchmark for electricity for delivery next year, was 5 cents down on the day at 32.95 euros ($38)/MWh.
The less liquid French contract for 2016 delivery rose 25 cents at 40.25 euros per MWh.
EU emissions allowances for December 2015 expiry were 1.34 percent lower at 7.35 euros a tonne.
Poland's prime minister has asked the European Commission to stick to the original start date for reforms to the EU Emissions Trading System (ETS), a day after members of the European Parliament backed earlier action.