# 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… Expand

#### 995 Citations

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

- Computer Science
- Electrical 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. Expand

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

- Engineering
- Transactions 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… Expand

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

- Engineering
- Transactions 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… Expand

Modeling of split-phase machines in Park's coordinates. Part I: Theoretical foundations

- Engineering, Computer Science
- Eurocon 2013
- 2013

The paper shows that when N exceeds two, the d-axis and q-axis stator voltage equations are no more decoupled, in general, as it happens for N=1 and N=2. Expand

Transient Torque-Angle Characteristics of Synchronous Machines

- Mathematics
- Transactions 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… Expand

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

- Engineering
- IEEE 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… Expand

Modeling and Analysis of Synchronous Machines

- Computer Science
- 2015

Switched-reluctance machine fields and the calculation of forces based on the Maxwell/Stratton/Reichert stress conclude this part, where the winding forces of a synchronous generator during short-circuit are presented. Expand

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

- Engineering
- IEEE 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… Expand

Efficient methodology for stability analysis of synchronous machines

- Computer Science
- 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). Expand

Constant-Parameter Circuit-Based Models of Synchronous Machines

- Engineering
- IEEE 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.… Expand

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- Transactions of the American Institute of Electrical Engineers
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This is the third part of a series of papers on the subject of synchronous machines. The first two were: I. An Extension of Blondel's Two-Reaction Theory, II. Steady State Power-Angle… Expand

Three-phase short circuit synchronous machines-V

- Engineering
- Transactions of the American Institute of Electrical Engineers
- 1930

This paper is the fifth of a series which the authors have presented on the subject of synchronous machines. Part I was an extension of the fundamental theory; Part II, a treatment of torque-angle… Expand

Synchronous machines I — An extension of Blondel's two-reaction theory

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Blondel treated salient pole machines by resolving the fundamental space component of m. m. f. along the two axes of symmetry the direct axis of the pole, and the quadrature axis between poles. Using… Expand

The Reactances of Synchronous Machines

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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.… Expand

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A simple and practical method has been developed for investigating certain important classes of dynamic systems, as represented, for instance, by a power system comprising synchronous or induction… Expand

The Calculation of the Armature Reactance of Synchronous Machines

- Engineering
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This paper presents new and simplified formulas for the armature leakage reactance of synchronous machines, and compares the results obtained with tests on 100 machines of varied types. The new… Expand

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There are three methods of obtaining the flux distribution in a magnetic field. First: By test. Templates or models can be made of the field to be explored and the flux distribution can be obtained… Expand

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