# American Institute of Mathematical Sciences

October  2018, 14(4): 1565-1577. doi: 10.3934/jimo.2018021

## Frequency $H_{2}/H_{∞}$ optimizing control for isolated microgrid based on IPSO algorithm

 Key Lab of Industrial Computer Control Engineering of Hebei Province, College of Electric Engineering, Yanshan University, Qinhuangdao 066004, China

* Corresponding author: Zhong-Qiang Wu

Received  February 2017 Revised  August 2017 Published  January 2018

Fund Project: The first author is supported by the Hebei Natural Science(F2016203006).

Affected by the fluctuation of wind and load, large frequency change will occur in independently islanded wind-diesel complementary microgrid. In order to suppress disturbance and ensure the normal operation of microgrid, a $H_{2}/H_{∞}$ controller optimized by improved particle swarm algorithm is designed to control the frequency of microgrid. $H_{2}/H_{∞}$ hybrid control can well balance the robustness and the performance of system. Particle swarm algorithm is improved. Adaptive method is used to adjust the inertia weight, and cloud fuzzy deduction is used to determine the learning factor. Improved particle swarm algorithm can solve the problem of local extremum, so the global optimal goal can be achieved. It is used to optimize $H_{2}/H_{∞}$ controller, so as to overcome the conservative property of solution by linear matrix inequality and improve the adaptive ability of controller. Simulation results show that with a $H_{2}/H_{∞}$ controller optimized by improved particle swarm algorithm, the frequency fluctuations caused by the wind and load is decreased, and the safety and stable operation of microgrid is guaranteed.

Citation: Zhong-Qiang Wu, Xi-Bo Zhao. Frequency $H_{2}/H_{∞}$ optimizing control for isolated microgrid based on IPSO algorithm. Journal of Industrial & Management Optimization, 2018, 14 (4) : 1565-1577. doi: 10.3934/jimo.2018021
##### References:

show all references

##### References:
Independent wind-diesel microgrid
The dynamic model of microgrid
Flow chart of PSO algorithm
Cloud membership function of $D(i, {g}_{best})$
Cloud membership functions of $c_{1}$, $c_{2}$
Load and maximum power output of wind in microgrid
Output power of diesel generator
Frequency deviation of microgrid (with $H_{2}/H_{\infty}$ control based on LMI)
Frequency deviation of microgrid (with $H_{2}/H_{\infty}$ control based on PSO algorithm)
Frequency deviation of microgrid (with $H_{2}/H_{\infty}$ control based on IPSO algorithm)
The fuzzy rules of $c_{1}$ and $c_{2}$
 Rules $D(i, {g}_{best})$ $c_{1}$ $c_{2}$ 1 Near Small Big 2 Middle Middle Middle 3 Far Big Small
 Rules $D(i, {g}_{best})$ $c_{1}$ $c_{2}$ 1 Near Small Big 2 Middle Middle Middle 3 Far Big Small
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