Analysis and Applicability of Heffron–Phillips Model

Abstract

In this paper, a non-linear 7 th order dynamic model and a linearized 3 rd order dynamic model of a synchronous generator connected to an infinite bus are presented and compared in details. Parameters and equations of the both models are explained and summarized. They represent a useful starting point for work in areas of synchronous generators' construction, analysis, control systems design and synthesis. Novelty of this work represents a detailed research of applicability of the linearized model in an entire operating range. Established theoretical conclusions were confirmed with numerical results. Restrictions of utilizing the linearized model are presented. On a basis of the analysis for the synchronous generators of different power, their applicability with feasibility and accuracy was evaluated by certain objective criteria.

Analysis of Synchronous Generators’ Local Mode Eigenvalues in Modern Power Systems

“…This process is still ongoing, e.g., [6,7], but the fundamental H-P model is still considered the basis for research in this area. Analytical determination of H-P model parameters is described in detail in [4,8], along with the identification of the model's parameters in [9,10].…”

“…There is a distinct interest in adequate static and dynamic models of synchronous generators. These models accelerate the design and the construction of synchronous generators, facilitate the analysis and simulation of synchronous generators' operation, and enable the systematic synthesis of their control systems [8]. There are many models of different levels of complexity that are suitable for various qualitative and quantitative analyses of synchronous generators.…”

“…Among many linearized models of different orders, the Heffron-Phillips model (H-P model) is the most popular. A detailed description of the assumptions regarding the development of this model, comparison of the H-P model with NLM, and the research of applicability of the H-P model in an entire operating range can be found in [8].…”

Dynamic Stability Enhancement Through the Application of Stabilizers of Electromechanical Oscillations

“…The initial adjustment of the parameters of the electromechanical oscillation stabilizer is performed before commissioning and based on the analysis of frequency responses of the linear model of the synchronous generator (also known as the Heffron-Phillips model of the generator). The mentioned model is extremely precise in the environment of a certain operating point for which it was made [32]. In addition, it requires knowing only basic parameters of the synchronous generator which makes it suitable for synthesis of stabilizers and control circuits in general.…”

Robust and Adaptive Control for Synchronous Generator’s Operation Improvement

“…The seventh-order model is described by sets of algebraic equations (Eqs. (1)-( 10)) [5]: The seventh-order model is the superior one; although, on the other hand, it is too complicated to gain insight into the physical characteristics of the controlled plant [5]. It is also not suitable for the design and synthesis of control systems, since many control methods require linear mathematical models for the development of the control system.…”