# Two-reaction theory of synchronous machines generalized method of analysis-part I

@article{ParkTworeactionTO, title={Two-reaction theory of synchronous machines generalized method of analysis-part I}, author={R. H. Park}, journal={Transactions of the American Institute of Electrical Engineers}, volume={48}, pages={716-727} }

Starting with the basic assumption of no saturation or hysteresis, and with distribution of armature phase m. m. f. effectively sinusoidal as far as regards phenomena dependent upon rotor position, general formulas are developed for current, voltage, power, and torque under steady and transient load conditions. Special detailed formulas are also developed which permit the determination of current and torque on three-phase short circuit, during starting, and when only small deviations from an…

## 1,040 Citations

### Two-reaction theory of synchronous machines with any balanced terminal impedance

- MathematicsElectrical Engineering
- 1937

Every concept (impedance operators, per-unit quantities, d and q axis quantities, etc.) of the previous synchronous machine theory is preserved unchanged in this extended theory, and every problem solvable by the previous theory is now susceptible to an exactly similar solution in the extended case.

### A New Approach to the Calculation of Synchronous Machine Reactances - Part I [includes discussion]

- EngineeringTransactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems
- 1955

In Part I of this paper, the 2-reaction theory of synchronous machinesl is used to derive the torque equation at any slip s of the unexcited synchronous motor with one equivalent damper-winding…

### Steady-State and Transient Synthesis of 3-Phase Reluctance Motors (Synchronous Motors Without Field Excitation)

- EngineeringTransactions of the American Institute of Electrical Engineers
- 1951

In this paper the 2-reaction theory of synchronous machine analysis has been extended to obtain a synthesis procedure for 3-phase reluctance motors. Experiments were made on a motor with a rotor…

### Transient Torque-Angle Characteristics of Synchronous Machines

- EngineeringTransactions of the American Institute of Electrical Engineers
- 1930

Mechanical oscillations of synchronous motors following the application of abrupt shaft loads have not been hereto-fore easily calculated for cases of large angular swings, taking into account the…

### Universal Machine Modeling for the Representation of Rotating Electric Machinery in an Electromagnetic Transients Program

- Computer ScienceIEEE Transactions on Power Apparatus and Systems
- 1982

This paper describes the theory, development and practical application of a new universal machine module, which can be used for the transient analysis of motor/generator phenomena in large and…

### Analysis of a Permanent Magnet Synchronous Machine Supplied from a 180?? Inverter with Phase Control

- EngineeringIEEE Power Engineering Review
- 1987

Reference frame theory is used to establish the equations which describe the steady-state and dynamic behavior of an electric drive system consisting of a permanent magnet synchronous machine…

### Constant-Parameter Circuit-Based Models of Synchronous Machines

- EngineeringIEEE Transactions on Energy Conversion
- 2015

Representation of synchronous machines using constant-parameter voltage-behind-reactance (VBR) formulations improves accuracy and numerical efficiency of power systems transient simulation programs.…

### Efficient methodology for stability analysis of synchronous machines

- Engineering
- 2003

The synchronous machine model is compared in terms of accuracy and computational efficiency against a widely used and accepted machine model of an electro-magnetic transient program (EMTP-ATP).

### Negative damping of electrical machinery

- EngineeringElectrical Engineering
- 1941

This paper presents (1) a more nearly complete and exact criterion of instability or hunting of a synchronous machine as influenced by its armature or tie line resistance, (2) a general stability…

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Until somewhat recently, synchronous machine theory has been satisfied with a relatively few characteristic constants, or reactances, in terms of which the behavior of machines has been calculated.…

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