Abstract
With the increasing wind power in power systems and the wide application of frequency regulation technology, the accurate calculation of the limit wind power capacity in systems is critical to ensure the stability of the frequency and guide the planning of wind power sources. This paper proposes an analytical method for calculating the maximum wind generation penetration under the constraints of frequency regulation control and frequency stability taking doubly fed induction generator as an example. Firstly, the frequency-domain dynamic model of the doubly fed induction generator is established considering the supplementary frequency proportion-differentiation control under small disturbance. The equivalent inertia time constant of the doubly fed induction generator is calculated. On this basis, the frequency response model of the power system with the consideration of wind power integration in frequency regulation control is constructed. Then, the frequency-domain analytical solution of the system frequency is obtained. Finally, with the constraint by the steady-state deviation and dynamic change rate of the system frequency, the maximum wind generation penetration is analytically solved. The accuracy of the proposed analytical calculation method for the limit value of the percentage of wind power is verified by MATLAB/Simulink.
Highlights
Background and MotivationWind power is generally regarded as the most promising renewable energy [1,2]. At present, the most widely used doubly fed induction generator (DFIG) has an excellent performance of capturing the maximum wind energy at real-time wind speed
For better guiding power planning and maintaining the safe and stable operation of the system, it has essential significance to estimate the maximum wind generation penetration, which is defined as the ratio of the maximum capacity of the acceptable wind power to the system capacity [7], based on the frequency constraints [8,9]
Because the supplementary frequency proportion-differentiation (SFPD)-integrated frequency regulation controller, power tracking controller, and speed controller jointly affect the inertial response process of doubly fed induction generator (DFIG), the total electromagnetic torque ∆Tem can be expressed as the sum of their output torque increments
Summary
Wind power is generally regarded as the most promising renewable energy [1,2]. At present, the most widely used doubly fed induction generator (DFIG) has an excellent performance of capturing the maximum wind energy at real-time wind speed. In [18], the optimization methods were adopted to solve the maximum wind generation penetration with transient stability as a constraint and the maximum acceptable wind power capacity in the system as the objective It ignored a large number of physical quantities and the frequency-regulation control of the DFIG, so the accuracy needs to be improved. [21] established a primary frequency-regulation control response model of the DFIG and the frequency response model of the power system On this basis, the researchers took the steady-state frequency deviation of the system and the frequency change rate at the initial moment of the disturbance as constraints and proposed a method for calculating the maximum wind generation penetration. In the evaluation method of the maximum wind generation penetration, it is necessary to improve the accuracy and applicability of the calculation method and reduce the calculation complexity while considering the frequency regulation control of DFIG
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