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该文是两篇系列论文中的第1篇，提出发电机组旋转备用宽度(spinning reserve width，SRW)的概念。SRW被定义为机组提供的正、负旋转备用之和的最大值，由机组其他参数容易计算出SRW。基于SRW概念，对于同时考虑系统正、负旋转备用约束的经济调度问题，提出一组解析的可行性判定充要条件。因此，经济调度问题的可行性可以通过直接检验这组解析条件来判定而无需通过求解一个线性规划问题来判定。这组解析条件对于同时考虑系统正、负旋转备用约束的机组组合问题求解具有重要意义，相关应用将在系列论文中的第2篇中介绍。“,”ABSTRACT:This is the first part of a series of two papers. A concept of spinning reserve width (SRW) of generator unit was introduced. SRW is defined as the maximum of the sum of up and down spinning reserve provided by a generator unit and can be easily obtained based on the available parameters. Based on SRW, an analytical necessary and sufficient condition for economic dispatch (ED) problems with up and down spinning reserve requirements was established. Therefore, the feasibility of an ED problem can be quickly identified by the necessary and sufficient condition rather than solving a linear programming problem and it also provides a theoretical foundation for the feasibility conditions for unit commitment which is placed in the second part of this series of papers. All theoretical results are given with detailed proof.