Abstract

For Electric Power System safety and stable operation, planning and analysis by using simulation environments are necessary. An important point for frequency stability analysis is, on one hand, an adequate representation of Load-Frequency Control (LFC) loops and, on the other hand, the design of advanced control strategies to deal with the power system dynamic complexity. Therefore, in this paper we propose to represent the group turbine/penstock, found in hydropower plants, in a Piecewise Affine (PWA) modelling structure. Based on such modelling, we also propose the use of a Hybrid Model Predictive algorithm to be use as a control law in LFC loops. Among the advantages of this PWA representation is the use of this model in the controller algorithm, thereby improving the Load-Frequency Control performance. Simulation results, on a 200 MW hydropower plant compares the performance of predictive control strategy presented with the classical PID control strategy in an isolated condition.

Highlights

  • The stability of Electric Power System (EPS) can be defined as the ability to maintain frequency, voltage and power balance in the nominal conditions, even after being subjected to some disturbance [1]

  • Due to continuous changes on power demand and the system disturbances the EPS is submitted, the EPS operating point is continuously changing so as its models. This feature makes challenging the development of control laws that assures a stable operation and the specified performance to restore the nominal conditions

  • Such control law is defined by the following nonlinear programming problem, with nonlinear constraints, where ߠ௜ are the parameters for the Piecewise Affine (PWA) model

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Summary

Introduction

The stability of Electric Power System (EPS) can be defined as the ability to maintain frequency, voltage and power balance in the nominal conditions, even after being subjected to some disturbance [1]. Due to continuous changes on power demand and the system disturbances the EPS is submitted, the EPS operating point is continuously changing so as its models This feature makes challenging the development of control laws that assures a stable operation and the specified performance to restore the nominal conditions. There is a controller responsible for manipulating the power generation in order to comply it with the network power demand and for ensuring that the frequency delivered to the grid is at its nominal value. It is so called Load-Frequency Control (LFC) and it is becoming increasingly important due to the growing in complexity and interconnection of the power system [3].

Load-Frequency Control Mathematical Models
Model Representation as a PWA System
PWA Model for the LFC Loop Components
Hybrid Model Predictive Control for PWA Systems
Simulation Results
Conclusion
Full Text
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