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首页> 外文期刊>Proceedings of the IEE - Part IV: Institution Monographs >Transient Theory of Synchronous Generators under Unbalanced Conditions
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Transient Theory of Synchronous Generators under Unbalanced Conditions

机译：不平衡条件下同步发电机的暂态理论

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The paper contains a mathematical theory of the operation of a synchronous generator after the closing of a switch at its terminals, under the assumption that the speed remains constant after the change. The theory is first formulated for the general case where the external circuit consists of any unbalanced impedances and source voltages. It is then applied to the three well-known conditions of unbalanced short-circuit. The method of solution is fully explained for the line-to-line short-circuit, while only the equations and the results are quoted for the line-to-neutral and the double-line-to-neutral short-circuits. The solution is obtained by the method of the Laplace transformation, but its application is more difficult than in ordinary circuit theory or in the case of a generator under balanced conditions, because the differential equations, although linear, have variable coefficients. The solutions are obtained as infinite series, which can be summed, however, for the cases given. For each of the three short-circuit conditions, comparative experimental and theoretical results are given for a small synchronous machine. The theoretical curves were calculated from the mathematical expressions, using the measured constants of the machine.
机译：该论文包含了一个同步发电机运行的数学理论，该假设是假设同步发电机在切换后的速度保持恒定后，在其终端上的开关闭合之后的运行。该理论首先针对外部电路由任何不平衡的阻抗和电源电压组成的一般情况制定。然后将其应用于不平衡短路的三个众所周知的条件。对于线间短路的解决方法已作了充分说明，而线间短路和双线间短路仅引用了方程式和结果。该解决方案是通过拉普拉斯变换的方法获得的，但它的应用比普通电路理论或在平衡条件下的发电机情况下的应用更为困难，因为微分方程尽管是线性的，但系数却可变。这些解决方案是作为无穷级数获得的，但是对于给定的情况，可以将其相加。对于这三种短路条件，分别给出了小型同步电机的对比实验和理论结果。使用机器的测量常数，从数学表达式计算出理论曲线。

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