Optimized Control Strategy for Single-Phase Energy Storage Inverter Parallel Systems Using Virtual Synchronous Generator Technology

Introduction

The rapid growth of renewable energy integration, particularly photovoltaic (PV) systems, has intensified the demand for advanced energy storage inverter. These inverters play a pivotal role in stabilizing grid operations, managing power fluctuations, and ensuring efficient energy distribution. This study focuses on a 10 kW single-phase energy storage inverter, addressing challenges such as unstable dynamic responses and uneven power distribution in parallel systems. By integrating a Virtual Synchronous Generator (VSG) strategy with adaptive frequency control and quantum-optimized algorithms, the proposed system enhances grid stability and power-sharing accuracy.

Circuit Design for Energy Storage Inverter

Bidirectional DC/DC Converter

The bidirectional DC/DC converter is critical for interfacing battery storage with the DC bus. A half-bridge topology was selected due to its low voltage stress and minimal switching losses. Key design parameters include:

  • Inductor: ( L = 1 \, \text{mH} ), rated for 151.8 A peak current.
  • Capacitors: ( C{\text{BAT}} = 1 \, \mu\text{F} ), ( C{\text{BUS}} = 1 \, \mu\text{F} ).
  • Switching devices: IGBTs (1000 V/240 A) and diodes (1200 V/290 A).

The converter operates in two modes:

  1. Boost Mode (Battery-to-BUS): [ D{\text{boost}} = 1 – \frac{U{\text{BAT}}}{U{\text{BUS}}} ] For ( U{\text{BAT}} = 240 \, \text{V} ) and ( U{\text{BUS}} = 450 \, \text{V} ), ( D{\text{boost}} = 47\% ).
  2. Buck Mode (BUS-to-Battery): [ D{\text{buck}} = \frac{U{\text{BAT}}}{U{\text{BUS}}} ] For ( U{\text{BUS}} = 460 \, \text{V} ), ( D_{\text{buck}} = 43.5\% ).

DC/AC Inverter Using Heric Topology

The Heric topology minimizes leakage currents and improves efficiency. Key components:

  • Filter inductors: ( L_f = 0.2 \, \text{mH} \times 2 ).
  • Filter capacitor: ( C_f = 10 \, \mu\text{F} ).
  • Switching frequency: ( f_s = 20 \, \text{kHz} ).

The output voltage ( U_{\text{grid}} ) is regulated through SPWM modulation, achieving 220 V/50 Hz with THD < 3%.

VSG-Based Power Sharing Strategy

Virtual Synchronous Generator Principles

The VSG emulates synchronous generator dynamics using: [ P{\text{VSG}} = P{\text{ref}} + k_p (\omega{\text{ref}} – \omega) – J \frac{d\omega}{dt} – D (\omega – \omega{\text{grid}}) ] where ( J ) (inertia) and ( D ) (damping) determine system stability.

Decoupling Analysis for Parallel Systems

Power sharing in parallel energy storage inverter requires impedance matching. For two inverters with capacity ratio ( N ): [ \frac{k{p1}}{k{p2}} = \frac{D_1}{D_2} = \frac{J_1}{J_2} = N ] Virtual impedance ( Z_v = jX_v ) ensures inductive dominance, enabling accurate reactive power distribution.

Adaptive Frequency Control

A frequency-adaptive algorithm dynamically adjusts ( J ) and ( D ): [ \Delta J = k_1 \left| \frac{d\omega}{dt} \right|^{m_1}, \quad \Delta D = \frac{1}{J} \Delta J ] Boundary conditions for stability: [ 4.794 \leq J \leq 16.572, \quad 1204.2 \leq D \leq 1751.6 ]

Quantum-Optimized Parameter Tuning

The Quantum Artificial Bee Colony (QABC) algorithm enhances parameter optimization:

  1. Solution initialization: [ x_{ik}^{(0)} = L_k + \text{rand}(0,1) \times (U_k – L_k) ]
  2. Fitness function: [ \text{Fitness} = \int_0^{T_a} t |e(t)| dt + \text{THD}u + \text{THD}i ]
  3. Chaotic search: Tent mapping improves global exploration.

Table 1: QABC Performance Comparison

MetricTraditional VSGQABC-Optimized VSG
Frequency Overshoot0.71%0.38%
Recovery Time (s)0.4550.373
THD Reduction15.64% (current), 16.3% (voltage)

Experimental Validation

Hardware Prototype and Testing

A 10 kW energy storage inverter prototype was tested under grid-connected, islanded, and parallel modes. Key results:

Table 2: Power Sharing Accuracy

Load (kW)Traditional VSG ErrorQABC VSG Error
164.8%1.2%
306.1%1.8%
407.3%2.1%

Dynamic Response Enhancement

The QABC algorithm reduced circulating currents by 50% and improved transient response by 64.63% in active power sharing.

Conclusion

This work demonstrates that integrating VSG control with quantum-optimized adaptive algorithms significantly enhances the performance of energy storage inverter in parallel configurations. The proposed strategy ensures stable frequency regulation, accurate power distribution, and improved harmonic suppression, making it viable for large-scale renewable energy integration. Future work will explore multi-objective optimization for hybrid energy storage systems and fault-tolerant control under grid disturbances.

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