Synchronous Generator Capability Curve (P-Q Curve) using MATLAB
The generator operating limits is expressed in the form of the generator P-Q diagram. In other words, generator P-Q diagram provides a safe boundary in which the generator can operate without exceeding thermal limitations.
In this publication, practical steps for drawing Generator Capability Curve using MATLAB is presented .
* Synchronous Generator * Round Rotor * Armature Winding Resistance is neglected * Quantities are expressed based on Per Unit (P.U.) system
Parameters and Quantities definitions:
* Sn : Nominal Apparent Power * P : Active Power * Q : Reactive Power * Ea : Induced voltage in stator windings * V : Terminal Voltage * I : Armature Current * PF : Power Factor * Xs : Synchronous Reactance * theta : Power factor angle * delta : Load angle
In the following, three main limits of generator capability is presented:
1. Armature Current Limit
Armature Current Limitation will resulted in the following equations for P and Q:
2. Field Current Limit
Field Current Limitation will resulted in the following equations for P and Q:
3. Stability Limit
Stability of the turbogenerator is the ability to stay in synchronous operation under slow load changes.
Stability limitation will resulted in the following equations for P and Q:
Just define the required parameters as follows and run the script
%% Synchronous Generator P-Q Curve %% Parameter Definition Sn = 1; % Rated apparent power [P.U.] PF = 0.85; % Power Factor V = [1.05, 0.95, 1]; % Terminal Voltage (+-5% Voltage Variation) [P.U.] I = Sn./V; % Nominal Current [P.U.] Xs = 2; % Synchronous Reactance
Synchronous Generator P-Q Curve:
mansour torabi (2023). Synchronous Generator P-Q Curve (https://github.com/Mansourt/Synchronous-Generator-P-Q-Curve_MATLAB/releases/tag/v1.2), GitHub. Recuperado .
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See release notes for this release on GitHub: https://github.com/Mansourt/Synchronous-Generator-P-Q-Curve_MATLAB/releases/tag/v1.2
See release notes for this release on GitHub: https://github.com/Mansourt/Synchronous-Generator-P-Q-Curve_MATLAB/releases/tag/v1.1