The paper is addressed primarily to those power-system engineers who are interested in the possible applications to their work of high-speed digital computers. Flow diagrams and such technical details are not given in the text, since the methods of solution for the three problems specifically mentioned are already standard mathematical routines arising in many other fields of engineering. For the same reason, the main objectives in power-system design and operation are touched upon, but only in enough detail to place in perspective the matters subsequently treated.Three distinct types of problem are discussed: economic load dispatching, load curve analysis and 3-phase circuit calculations. In each case some computational difficulties and existing methods of solution are mentioned, the solution by means of the Deuce is outlined and some practical limitations to the theoretical approach are considered.The problems have been chosen in order to include examples from the fields of interconnected system operation, power distribution and general system engineering. It has therefore been necessary to attempt to reconcile this breadth of coverage of the subject with adequate description of the mathematical and practical considerations. A number of other problems are mentioned in the main text and in a Section at the end of the paper.